A Taste of Maths by ivasil romescu

From Blog to Book.

atasteofmaths.blogspot.ro

Contents 1 2010 1.1

1.2

9 November . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The first bite (2010-11-03 15:05) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Our Project Teams (2010-11-09 16:12) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Wallwisher (2010-11-09 16:14) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Meet the Romanian Students (2010-11-09 16:27) . . . . . . . . . . . . . . . . . . . . . . . .

The Pomegranate Team (2010-11-10 16:55) . . . . . . . . . . . . . . . . . . . . . . . . . . .

AToM Logos (2010-11-17 06:27) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Our first Flashmeeting (2010-11-19 13:30) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Welcome to Bucharest! (2010-11-22 16:32) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Elefsina (2010-11-26 16:15) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Logos from Bucharest (2010-11-30 10:48) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

December . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Logos from Matera (2010-12-05 14:41) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Logos from Amsterdam (2010-12-06 05:05) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Class Logo from Avila (2010-12-07 15:41) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Logo Contest (2010-12-10 03:19) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The Italian students introduce themselves (2010-12-12 07:57) . . . . . . . . . . . . . . . . .

A Christmas card (2010-12-14 11:37) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Chocolates (2010-12-14 13:07) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Search Story (2010-12-18 09:53) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Filmy (2010-12-19 06:00) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Xmas Greetings from Elefsina (2010-12-20 16:24) . . . . . . . . . . . . . . . . . . . . . . . .

The Dancing Beans (2010-12-21 01:59) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Xmas greetings from Italy (2010-12-23 03:46) . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy New Year (2010-12-28 09:19) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy New Year! (2010-12-31 10:54) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

25 3

2 2011 2.1

2.2

27 January . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Logo contest - the winners! (2011-01-03 03:56) . . . . . . . . . . . . . . . . . . . . . . . . .

Our school: Liceo Duni (2011-01-04 03:02) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A Romanian tale: Five Loaves of Bread by Ion Creanga (2011-01-06 12:55) . . . . . . . . .

Stepping through a recipe card! (2011-01-07 03:30) . . . . . . . . . . . . . . . . . . . . . . .

We have a winner (2011-01-14 07:48) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A mathematical.... painting! (2011-01-19 16:01) . . . . . . . . . . . . . . . . . . . . . . . . .

A mathematical... painting!- a solution (2011-01-24 03:18) . . . . . . . . . . . . . . . . . . .

Riddle from Amsterdam (2011-01-25 05:07) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answer from Amsterdam to the Mathematical Painting. (2011-01-26 02:42) . . . . . . . . .

A mathematical painting: a possible solution from Matera (2011-01-26 16:12) . . . . . . . .

Letâ&#x20AC;&#x2122;s write a Fibonacci poem! (2011-01-31 13:49) . . . . . . . . . . . . . . . . . . . . . . . .

February . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Geometry and us to thank the Greek team (2011-02-02 12:27) . . . . . . . . . . . . . . . . .

Spanish team Fibonacci BREAD poem (2011-02-03 08:48) . . . . . . . . . . . . . . . . . . .

More mathematics in arts (2011-02-04 02:35) . . . . . . . . . . . . . . . . . . . . . . . . . .

The Fibonacci poem from Greece (2011-02-04 07:41) . . . . . . . . . . . . . . . . . . . . . .

A Maths drawing (2011-02-04 13:25) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Infected or curious? (2011-02-04 14:10) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Artful Maths (2011-02-05 02:15) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The first Fibonacci poem from Bucharest (2011-02-07 11:25) . . . . . . . . . . . . . . . . .

The second Fibonacci bread poem from Bucharest (2011-02-08 09:43) . . . . . . . . . . . .

Working for the poems (2011-02-08 10:20) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Fibonacci in art (2011-02-09 12:22) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

More about Fibonacci and Arts (2011-02-10 03:31) . . . . . . . . . . . . . . . . . . . . . . .

First Fibonacci poem from Amsterdam (2011-02-11 07:45) . . . . . . . . . . . . . . . . . . .

The secret geometry (2011-02-11 08:07) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Valentineâ&#x20AC;&#x2122;s Day! (2011-02-14 04:35) . . . . . . . . . . . . . . . . . . . . . . . . . . .

AToM Valentine (2011-02-15 02:24) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Riddle from Amsterdam (2011-02-15 06:09) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Riddle from Amsterdam: nothing may be eaten! (2011-02-15 07:11) . . . . . . . . . . . . .

First Fibonacci poem from Italy (2011-02-15 09:30) . . . . . . . . . . . . . . . . . . . . . . .

Sequences (2011-02-15 15:35) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

17 sheep (2011-02-20 04:53) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

2.3

Poem from CR (2011-02-20 14:45) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The task from the Czech Republic (2011-02-20 15:33) . . . . . . . . . . . . . . . . . . . . .

Second Fibonacci poem from Matera (2011-02-20 15:48) . . . . . . . . . . . . . . . . . . . .

Learning about ancient Mathematical thought (2011-02-20 16:46) . . . . . . . . . . . . . . .

Happy spring! (2011-02-22 12:32) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The Math Task from Greece (2011-02-25 08:46) . . . . . . . . . . . . . . . . . . . . . . . . .

A late Valentines gift... (2011-02-25 10:24) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Math task from Bucharest (2011-02-28 11:16) . . . . . . . . . . . . . . . . . . . . . . . . . .

March . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Bucharest Answer to the Czech Task (2011-03-01 12:40) . . . . . . . . . . . . . . . . . . . .

Greek answer to Czech task (2011-03-02 11:12) . . . . . . . . . . . . . . . . . . . . . . . . .

Maths task from Amsterdam for Bucharest (2011-03-03 03:31) . . . . . . . . . . . . . . . .

Matera, our hometown (2011-03-03 15:08) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Matera answer to the Greek task (2011-03-05 12:56) . . . . . . . . . . . . . . . . . . . . . .

Carnival everywhere (2011-03-07 16:16) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Dutch answer to the Czech Task (2011-03-08 02:42) . . . . . . . . . . . . . . . . . . . . . .

March, 8th (2011-03-08 03:10)

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Women’s (mathematicians’) Day! (2011-03-08 03:36) . . . . . . . . . . . . . . . . . . . . . .

Dutch answer to the Greek task (2011-03-08 09:13) . . . . . . . . . . . . . . . . . . . . . . .

The bread of Matera (2011-03-09 10:07) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The answer from Bucharest to the Dutch task (2011-03-10 13:46) . . . . . . . . . . . . . . .

Maths and chocolate (2011-03-10 15:47) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Ávila answer for Bucharest task (2011-03-11 15:11) . . . . . . . . . . . . . . . . . . . . . . .

Happy Pi Day (2011-03-13 03:18) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Pi Day (2011-03-13 15:54) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Pi Day (2011-03-13 17:24) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Pi Day from the native speakers! (2011-03-14 02:41) . . . . . . . . . . . . . . . . . .

The math task from Italy (2011-03-14 03:03) . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Pi-day from Amsterdam (2011-03-14 07:25) . . . . . . . . . . . . . . . . . . . . . . .

Answer to the Romanian task from Amsterdam (2011-03-14 07:36) . . . . . . . . . . . . . .

Pi Day art exhibition (2011-03-14 13:13) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Matera answer to the Bucharest task (2011-03-15 14:04) . . . . . . . . . . . . . . . . . . . .

Our Book (2011-03-15 14:56) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Glogster (2011-03-16 16:44) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Maths and Crochet (2011-03-17 03:12) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

72 5

Italy is 150 years old! (2011-03-17 16:11)

2.4

2.5

. . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answer to the Italian task from Amsterdam (2011-03-18 09:17) . . . . . . . . . . . . . . . .

Maths contest in Matera (2011-03-20 11:22) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Task from Ávila (2011-03-22 13:40) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Flashmeeting from Karviná (2011-03-27 09:44) . . . . . . . . . . . . . . . . . . . . . . . . .

A Piece of Pie in... (2011-03-29 01:42) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Project of the month in Spain (2011-03-31 10:52) . . . . . . . . . . . . . . . . . . . . . . . .

our partners (2011-03-31 13:14) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

April . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Solution from Karviná (2011-04-03 06:32) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answer to Avila Task from Amsterdam (2011-04-03 06:51) . . . . . . . . . . . . . . . . . .

Spanish task answer from Bucharest (2011-04-03 14:49) . . . . . . . . . . . . . . . . . . . .

Greetings from Budapest! (2011-04-03 14:56) . . . . . . . . . . . . . . . . . . . . . . . . . .

Thanks from Bucharest! (2011-04-06 09:24) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Pi(e) Day Flashmeeting (2011-04-06 14:19) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Thanks from Ávila (2011-04-07 15:07) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Our own (2011-04-12 06:42) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Easter! (2011-04-14 13:12) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Thanks from Matera (2011-04-14 16:38) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Easter (2011-04-15 09:56) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Easter from Greece! (2011-04-18 03:56) . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Easter from Matera! (2011-04-19 11:34) . . . . . . . . . . . . . . . . . . . . . . . . .

Happy Easter from Amsterdam! (2011-04-20 06:48)

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Guestbook (2011-04-21 10:01) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A piece of pie in Amsterdam (2011-04-26 09:23) . . . . . . . . . . . . . . . . . . . . . . . . .

(2011-04-27 12:57) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A Piece of Pie in Bucharest (2011-04-27 13:42) . . . . . . . . . . . . . . . . . . . . . . . . .

May . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A Piece of Pie in Karviná (2011-05-01 06:39) . . . . . . . . . . . . . . . . . . . . . . . . . .

how much? how many? quantity (2011-05-02 08:32) . . . . . . . . . . . . . . . . . . . . . .

A piece of pie in Matera (2011-05-03 10:28) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Geometry in town (2011-05-04 08:48)

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Thank you Elefsina and Karvina! (2011-05-05 03:52) . . . . . . . . . . . . . . . . . . . . . .

Atom in Greek Student Festival 2011 (2011-05-05 21:28) . . . . . . . . . . . . . . . . . . . .

Last task (2011-05-08 04:22) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A piece of pie in Ávila (2011-05-09 15:13) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Geometry in town. Elefsina (2011-05-10 01:56) . . . . . . . . . . . . . . . . . . . . . . . . .

Nature’s puzzles (2011-05-14 12:39) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Geometry in the park (2011-05-14 12:41)

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Matera in Spain (2011-05-15 09:28) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Symmetry- 2 (2011-05-15 13:43) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Speaking of patterns (2011-05-25 15:56) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

2 tto on a trip to Nemo (2011-05-31 08:36) . . . . . . . . . . . . . . . . . . . . . . . . . . .

June . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

June 1st (2011-06-01 01:58) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

in the meantime, a riddle (2011-06-02 08:47) . . . . . . . . . . . . . . . . . . . . . . . . . .

Ancient Egyptian Maths (2011-06-02 13:44) . . . . . . . . . . . . . . . . . . . . . . . . . . .

Un-Maths unusual recipe (2011-06-04 03:40) . . . . . . . . . . . . . . . . . . . . . . . . . . .

+ un-Maths unusual recipes (2011-06-04 03:54) . . . . . . . . . . . . . . . . . . . . . . . . .

ATOM in images (2011-06-06 16:38) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

The first QL (2011-06-08 15:23) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

NUMBERS PLAYGROUND (2011-06-09 01:42) . . . . . . . . . . . . . . . . . . . . . . . .

A ”Thank you!” to our partners (2011-06-09 08:00) . . . . . . . . . . . . . . . . . . . . . . .

2 students of 2tto Amsterdam in the Team Maths Challenge (2011-06-09 15:54) . . . . . . .

Parallel and perpendicular lines (2011-06-10 17:18) . . . . . . . . . . . . . . . . . . . . . . .

”A mathematician’s diet” Elefsina’s farewell song (2011-06-11 07:57) . . . . . . . . . . . . .

(2011-06-11 08:23) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

100

Good-bye Flashmeeting images (2011-06-11 08:54) . . . . . . . . . . . . . . . . . . . . . . .

103

ATOM radio broadcasting from Alonso de Madrigal (2011-06-16 16:35) . . . . . . . . . . .

104

The perspective (2011-06-20 10:32) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

104

geometry around (2011-06-22 15:35) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

105

Students’ Evaluation (2011-06-24 12:08) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

105

Numbers in our life (2011-06-26 09:19) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

105

July . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

105

Maths is all around us in Amsterdam (2011-07-01 08:21) . . . . . . . . . . . . . . . . . . . .

105

Pupils´ evaluation (2011-07-12 05:48) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

106

September . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

106

One more quality label for AToM (2011-09-23 12:15) . . . . . . . . . . . . . . . . . . . . . .

106

October . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

107

European Quality Label (2011-10-10 14:06) . . . . . . . . . . . . . . . . . . . . . . . . . . .

107

2.10 December . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

107

Images (2011-12-23 12:17) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

107

Congratulations! (2011-12-23 13:36) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

108

2.6

2.7

2.8 2.9

3 2012 3.1

3.2

3.3

3.4

3.5

3.6

3.7

109 February . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

109

Finalists! (2012-02-08 04:34) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

109

One more time... (2012-02-14 14:23) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

110

and we met. (2012-02-15 08:06) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

110

March . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

111

Winners! (2012-03-03 15:10) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

111

Finalists meeting photos (2012-03-10 13:03) . . . . . . . . . . . . . . . . . . . . . . . . . . .

111

The Pomegranate team is working together again (2012-03-12 11:35) . . . . . . . . . . . . .

111

Presentation (2012-03-23 01:57) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

112

Survey Results (2012-03-26 15:15) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

112

Watch the prize ceremony live! (2012-03-29 09:44) . . . . . . . . . . . . . . . . . . . . . . .

112

April . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

112

Video for Berlin (2012-04-01 08:53) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

112

how the video was shot (2012-04-01 09:19) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

112

In Berlin (2012-04-02 12:39) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

113

Best eTwinning project video (2012-04-09 02:29) . . . . . . . . . . . . . . . . . . . . . . . .

113

Fibonacci Poems made in Berlin (2012-04-13 06:20) . . . . . . . . . . . . . . . . . . . . . .

113

One more reward ! (2012-04-28 14:42) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

114

Bucharest presentation for Antalya (2012-04-30 04:42) . . . . . . . . . . . . . . . . . . . . .

114

Celebrating Our Country- Antalya Camp (2012-04-30 04:50) . . . . . . . . . . . . . . . . .

114

May . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

114

I hope you had the time of your life! (2012-05-02 15:57) . . . . . . . . . . . . . . . . . . . .

114

Back from Antalya (2012-05-09 14:06) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

115

Celebrating our country- eTwinning Camp (2012-05-18 11:27) . . . . . . . . . . . . . . . . .

115

The Greek teamâ&#x20AC;&#x2122;s Antalya song (2012-05-23 14:28) . . . . . . . . . . . . . . . . . . . . . . .

115

July . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

116

Officially on holidays (2012-07-06 09:10) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

116

November . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

117

Timeline (2012-11-10 15:04) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

117

December . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

118

(2012-12-11 14:52) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

118

4 2013 4.1

119 January . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

119

(2013-01-26 08:40) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

119

Chapter 1

2010 1.1

November

The first bite (2010-11-03 15:05)

[1] Hello, this is the first riddle, to welcome everyone on our blog: You have three boxes, labeled ”Apples”, ”Oranges” and ”Apples and oranges”. You know all the labels are misplaced and you have to replace them correctly, after sampling only one piece of fruit from one of the boxes. How will you do that? 1. http://2.bp.blogspot.com/_EfVHcJYs5Gw/TNHBeOXykDI/AAAAAAAAFLk/b3BBsZlyxV8/s1600/untitled2.JPG

Natalie Mandikou, Greece (2010-11-04 15:59:31) me me me me me!! :D We open one random box and we get oranges, for example. We pick the label ”Oranges” from the other box (which, as we already know, is misplaced), and put it in the correct one. But we now have a box without a label (aka the one which previously had the ”oranges” label), an untouched box and the label the box with the oranges used to have. We know that the untouched box’es label is wrong, so we pick it and replace it with the spare one (the one we picked from the box with the oranges). We now still have a box without a label, but we have the label from the second box, so we match them. Tadaaaah! :D ivasil (2010-11-09 16:53:17) Well, Natalie... If you take out an orange, the box could very well hold oranges OR oranges and apples. How will you know which is it? :D

Erik Atsma (2010-11-11 14:27:05) Teachers aren’t suppose to answer this?? Only for students?? ivasil (2010-11-11 15:45:38) Of course you can, but since you will certainly have the right answer, let them have fun first! :) Natalie Mantikou, Greece (2010-11-14 10:37:35) Oh, I didn’t realise that I would have to take only one piece of fruit! I don’t know then..! :P ivasil (2010-11-14 14:13:47) Read it carefully! What box will give you undoubted data? :) Don’t give up! Anonymous (2010-11-21 10:05:36) Take a fruit from the box labeled ”apple and orange”. If it is an apple the right label is ”apple” for this box. The right label for the box labeled ”orange” is ”apple and orange” and the right label for the box labeled ”apple” is ”orange”. If the fruit you took is an orange the right label for this box is ”orange”,the right label for the ”orange” box is ”apple” and the third box is ”apple and orange”. Thank you, you are amazing! Sotiria (mum) from Greece Anonymous (2010-11-21 12:48:27) I am so sorry for answering, even if my answer may be mistaken. I was overexcited and didn’t see that it was for kids only! Can I suggest another riddle as a ”sorry” gift? ”We have two measuring cans. The first one can take up to 3 litres of milk, the second one can take up to 2 litres. We want to measure out one litre of milk, but we can only use those two cans. What can we do?” Sotiria (mum) from Greece ivasil (2010-11-21 13:29:03) I will not say ”right” or ”wrong” yet...let others try too! :) Thank you. Anonymous (2010-11-22 13:25:42) Hi everybody, Let me first say that Sotiria ( the mom from Greece) was rigth and secondly that the solution to the other riddle is: ”Take the 3 litre can and fill it with milk. Then fill the 2 litre can by milk out of the 3 litre can and fill it untill it’s completely filled. Now there is exactly 1 litre left in the 3 litre can.” Greets, Manal (student from Holland) Anonymous (2010-11-22 13:42:14) Shell I give you more riddles? If not than don’t read the following;) 1. A man was to be sentenced, and the judge told him, ”You may make a statement. If it is true, I’ll sentence you to four years in prison. If it is false, I’ll sentence you to six years in prison.” After the man made his statement, the judge decided to let him go free. What did the man say? 2. If your sock drawer has 6 black socks, 4 brown socks, 8 white socks, and 2 tan socks, how many socks would you have to pull out in the dark to be sure you had a matching pair? 3. If there are three cups of sugar and you take one away, how many do you have? 4. What gets wetter and wetter the more it dries?

5. What can travel around the world while staying in a corner? I know that not all of them are about math, but they’re still fun to think about;) Greets, Manal (Student> Holland) libelef (2010-11-22 13:58:38) 1. The man said nothing, so the judge had to keep his word. Thanx, Manal! Anonymous (2010-11-23 06:21:44) @ libelef, that’s what I thought, at first but that answer looked to easy so I went looking at the answers and I saw that it was a way more complicated asnwer. So keep thinking;) Manal ivasil (2010-11-23 11:00:53) Let me try, Manal. The man said: ”what I am saying now is false”. Well? Irina Anonymous (2010-11-23 13:13:19) It’s something like that but not exactly, you’re almost there keep thinking;) Manal libelef (2010-11-23 14:32:56) A stamp can travel around the world and remain in the corner of the letter. (I Googled it, so I know the other answers as well!) :)) Anonymous (2010-11-24 12:51:44) @libelef, that’s not fair!! You were supposed to think about it yourself. I am very disappoitend in you:P. Manal Anonymous (2010-11-24 12:54:15) disappointed libelef (2010-11-25 02:46:12) Sorry you are disappointed, Manal. Should you be with a librarian who teaches information literacy? It is part of my job to search the web and tell students they can find anything if their key words are right. At least I was honest! :) Anonymous (2010-11-28 15:36:26) I was just kidding:p Manal libelef (2010-11-29 02:14:36) It’s ok. My students found it entertaining!! Anonymous (2010-11-29 15:16:47) Haha, okay than.

Maria Teresa Asprella (2010-12-12 09:50:18) If your sock drawer has 6 black socks, 4 brown socks, 8 white socks, and 2 tan socks, how many socks would you have to pull out in the dark to be sure you had a matching pair? Answer: Five, because the socks are four. So if we add one sock to the four, we are sure we’ll have a matching pair. If there are three cups of sugar and you take one away, how many do you have? Answer: I’ve got one cup of sugar. Right??? Desirè from Italy Anonymous (2010-12-17 06:29:09) Your first answer is right and the second is right as well, but try to give an explanation. Thab I know for sure you understand it ;) Manal Anonymous (2010-12-23 04:41:33) Another riddle from the greek team: Show that 1 peanut ? 11 pears. Proof: (by contradiction) Suppose 1 peanut = 11 pears. We know that a pear is infinitely better (greater) than an apple, i.e. 1 pear = apples so 11 pears = 11( ) apples (1) Also, we know that since peanuts grow below ground and apples grow above ground, apples are higher (greater) than peanuts, i.e., 1 apple = (k + p) peanuts, (2) Where k = height of apple (on tree) above ground and p = distance below ground to where peanut is growing (k, p > 0) Sub equation (2) into equation (1) to get 11 pears = 11( )(k + p) peanuts; a contradiction! Since 11( )(k + p) ? 1. Thus, 1 peanut ? 11 pears Source:http://www.mathnews.uwaterloo.ca/Issues/mn8904/mathfood.php

Our Project Teams (2010-11-09 16:12) Click on the coloured pins to see our schools! IFRAME: [1]http://maps.google.com/maps/ms?ie=UTF8 &hl=en &t=h &source=embed &msa=0 &msid=116070532471994076855.0004939eeb642601970d4 &ll=44.902578,10.546875 &spn=21.78511,37.353516 &z=4 &output=embed View [2]ATOM in a larger map 1.

http://maps.google.com/maps/ms?ie=UTF8&hl=en&t=h&source=embed&msa=0&msid=116070532471994076855.

0004939eeb642601970d4&ll=44.902578,10.546875&spn=21.78511,37.353516&z=4&output=embed 2.

http://maps.google.com/maps/ms?ie=UTF8&hl=en&t=h&source=embed&msa=0&msid=116070532471994076855.

0004939eeb642601970d4&ll=44.902578,10.546875&spn=21.78511,37.353516&z=4

Wallwisher (2010-11-09 16:14) Here is a Wallwisher, it is made just for you to write what you would like to do or learn during this project. To write, just click Post a sticky! Or access the direct link : [1]http://www.wallwisher.com/wall/knFwOlDxX5 Have fun !:) IFRAME: [2]http://www.wallwisher.com/embed/knFwOlDxX5 1. http://www.wallwisher.com/wall/knFwOlDxX5 2. http://www.wallwisher.com/embed/knFwOlDxX5

Meet the Romanian Students (2010-11-09 16:27) Meet Ioana

[1]Get a Voki now! This is Adelin

[2]Get a Voki now! Andra is introducing herself [3]Get a Voki now! Two times Ana! Razvan and Vali Marta and Oana Mihnea and Alex Andrei and Armand 1. http://www.voki.com/ 2. http://www.voki.com/ 3. http://www.voki.com/

The Pomegranate Team (2010-11-10 16:55) [EMBED] Meet the Pomegranate Team in Elefsina, Greece. Chosen because it is a set with subsets and elements (the seeds), it also has a deep symbolism in our culture, which we will soon explain in Food for Thought. Here are what our names mean in Greek: 13

• Mother Earth • The manly one • The one who brings victory • The one who liberates • She who is born • The youthful one - new member! • God’s gift • God is gracious • The one who is found • The Christian woman • The Luminous one -new member! • [1]Ulysses

[2] Two new members to join AToM! 1. http://www.hellenica.de/Griechenland/Mythos/Bild/PolyphemusVase.jpg 2. http://3.bp.blogspot.com/-8HdmXPgcfrU/TeTKvinlCwI/AAAAAAAADY8/0LZcNY-cfVg/s1600/DSC00216.jpg

ivasil (2010-11-30 03:20:48) Hi Pomergranate team, we have just seen your video presentation! We enjoyed it a lot, thank you! The Bucharest team. Erik Atsma (2010-12-02 02:36:15) What a wonderful presentation!! Especially the human logo!

AToM Logos (2010-11-17 06:27)

[EMBED] Here is our first AToM logo, made by the team in Elefsina, Greece. More to come!

ivasil (2010-11-17 14:53:20) I like it, itâ&#x20AC;&#x2122;s colourful and suggestive! Maria Teresa Asprella (2010-11-20 08:17:51) Itâ&#x20AC;&#x2122;s very nice! I like it very much!

Our first Flashmeeting (2010-11-19 13:30)

[EMBED] [1]

[2]

1. http://photobucket.com/slideshows 2. http://s641.photobucket.com/albums/uu132/ivasil/Flashmeeting/?action=view&current=4c1979e1.pbw

Welcome to Bucharest! (2010-11-22 16:32)

This is a presentation of our town. There are more glogs on the TwinSpace. The Romanian students worked in groups to create glogs about our city. We tried to use as many numbers as we could. We hope you enjoy it! Click on View full size!

IFRAME: [1]http://edu.glogster.com/glog.php?glog id=12675703 &scale=50 1. http://edu.glogster.com/glog.php?glog_id=12675703&scale=50

Elefsina (2010-11-26 16:15)

[1]

Here is Elefsina, its archeological site, as photographed yesterday by the Pomegranate team. The puzzle is 2.300 years old and it belongs to [2]Archimedes, the ancient mathematician, one of the three greatest ever. You can print and cut and assemble it. This is a simple way to solve the puzzle that has buffled people so much, it gave them a stomachache. That is probably why it is called ”[3]stomachion”. Another explanation is that you mingle the parts, just as the stomach mingles food. Do you know the other two top mathematicians?

1. http://3.bp.blogspot.com/_AfIwIXyR2BM/TPAvsPCh5hI/AAAAAAAACik/5j-1TYSyvz4/s1600/stomahionelefs.jpg 2. http://www.archimedespalimpsest.org/ 3. http://www.math.ucsd.edu/~fan/stomach/

ivasil (2010-11-26 16:25:04) I’m sure there are lots of possible lists. How about Isaac Newton and Karl Gauss? Anonymous (2010-11-29 10:36:52) Exactly, Archimedes is third in that order. Libelef

Logos from Bucharest (2010-11-30 10:48)

[1]

[2]

[3] We worked on logos today and enjoyed it a lot. Here are just three of them; there are more in the TwinSpace...and maybe more to come.

1. http://1.bp.blogspot.com/_EfVHcJYs5Gw/TPUq-i0rN7I/AAAAAAAAFPs/UuXMnznCbzQ/s1600/tania.jpg 2. http://4.bp.blogspot.com/_EfVHcJYs5Gw/TPUq7JfsD5I/AAAAAAAAFPk/bSazrCtNVeA/s1600/anna1.jpg 3. http://4.bp.blogspot.com/_EfVHcJYs5Gw/TPUq3HaYZEI/AAAAAAAAFPc/HYUiGZMTrs0/s1600/mihai.jpg

1.2

December

Logos from Matera (2010-12-05 14:41)

[1] Here is one of Matera students logos! We can find some more in the TwinSpace. 1. http://4.bp.blogspot.com/_6KTgw7lkqyk/TPv5Z3un1KI/AAAAAAAAAG0/yp-SQSryiu4/s1600/Carmela.jpg

ivasil (2010-12-05 15:01:31) Nice logo, it reminds me of our Flashmeeting.

Logos from Amsterdam (2010-12-06 05:05) [1] [2] [3] Here are three of the logos from Amsterdam. The rest is on the Twinspace 1. http://4.bp.blogspot.com/_Q8RmoDvlcJI/TPzDth5TqpI/AAAAAAAAAbQ/Uugtpm-B1ck/s1600/Manal.jpg 2. http://2.bp.blogspot.com/_Q8RmoDvlcJI/TPzDtSkW4kI/AAAAAAAAAbI/tpawPopUjTA/s1600/Mohammed.jpg 3. http://2.bp.blogspot.com/_Q8RmoDvlcJI/TPzDsyGUjvI/AAAAAAAAAbA/x3BQQ1zul_c/s1600/Bugra.jpg

ivasil (2010-12-06 10:25:59) We like them all, especially the last one. :)

Class Logo from Avila (2010-12-07 15:41)

[1] Although we are still on holiday, I contacted the Art teacher. He could only send me the class logo. Let me explain you how they work. first they have a brainstorming to get ideas. then, they choose and work on it, making it part of the Art syllabus. The, they have individual samples. this is the one they agreed on. Students are still working on their individual ones. This is everything we can present now. Have a nice evening. Valentina 1. http://1.bp.blogspot.com/_EfVHcJYs5Gw/TP6qcvBqQ7I/AAAAAAAAFQo/cdSbfgZMKSE/s1600/classlogo.jpg

libelef (2010-12-08 05:11:10) This will be a tough contest, meaning that all logos are so appetizing, you donâ&#x20AC;&#x2122;t know which one to pick!

Logo Contest (2010-12-10 03:19)

[1] 19

Hi everyone, It’s time to vote!! Not all logos are in, but the voting can already begin for the Dutch, Romanian and Greek logos. There are also logos on the Twinspace from Italy and the Czech Republic. The logos of Spain will be ready after the weekend. Ladies and Gentlemen, may we have your votes?

[2] logos!

Here we are in Bucharest, voting for the

1. http://3.bp.blogspot.com/_AfIwIXyR2BM/TQP1kY0DPnI/AAAAAAAACks/4XtYEdJ8PHc/s1600/logos.jpg 2. http://1.bp.blogspot.com/_EfVHcJYs5Gw/TQfQ0QQaoNI/AAAAAAAAFRQ/S1gLnopfml8/s1600/Picture%2B001.jpg

ivasil (2010-12-10 09:35:11) Thrilling! Let the best logo win! Anonymous (2010-12-11 05:56:48) I think that the best logo is from Greece, Elefsina Congratulations! S.N. Anonymous (2010-12-11 07:00:41) I mean the one with the children making ”ATOM” with their bodies. (the colourful one) S.N. ivasil (2010-12-11 11:35:29) Thank you so much for your interest, S.N.! Who are you?? Anonymous (2010-12-12 12:25:15) I am Natalie’s (Greek team) mum! I check ATOM blog everyday because I find it very interesting. I am a maths-teacher myself as well and I kind of like all this mathematics promotion! Go maths!

The Italian students introduce themselves (2010-12-12 07:57) Here are some presentations from Matera students. More on the TwinSpace. Flavia [1]Get a Voki now! Giulia [2]Get a Voki now! Luca [3]Get a Voki now! 1. http://www.voki.com/ 2. http://www.voki.com/ 3. http://www.voki.com/

A Christmas card (2010-12-14 11:37) [EMBED]

Chocolates (2010-12-14 13:07)

[1] Here is a short and (hopefully!) sweet riddle, since Christmas time is a time for sweets: if in a box there are 24 dark chocolates, 12 milk chocolates and 4 white chocolates, what is the probability I pick up a milk chocolate? If I put my chocolate back into the box and take out another one, what is the probability I pick a milk chocolate again? The image is created by Armand. 1. http://1.bp.blogspot.com/_EfVHcJYs5Gw/TQfBNWAWSdI/AAAAAAAAFRI/38h70LTmvuY/s1600/armand2.jpg

Vretti (2010-12-21 06:08:48) A sweet riddle indeed! Desi :} (2010-12-23 03:42:11) The probability is 3/10 in the first case and in the second one. :D DesirĂŠ - Italy Rocco (2010-12-23 03:58:39) The probability to pick a milk chocolate again is 12/40, because it is the same of the first extraction. ROCCO from Italy stefano (2010-12-23 04:04:23) The probability that I pick up a milk chocolate is 12/40 and if I put the chocolate back into the box when I take out another one the probability I will pick up a milk chocolate again will be the same. Stefano from Italy ivasil (2010-12-26 13:47:44) OK, but whatâ&#x20AC;&#x2122;s the probablity that BOTH things happen? :)

Search Story (2010-12-18 09:53) [EMBED]

Filmy (2010-12-19 06:00)

[1] [EMBED] [4] [5] [6] [7]Music [8]Playlist at [9]MixPod.com 22

To see the slideshow click [2]here[3]

1. http://4.bp.blogspot.com/_EfVHcJYs5Gw/TQ-eRUC9fzI/AAAAAAAAFR4/11r5zzRA2yU/s1600/2010-12-20_2017.png 2. http://picasaweb.google.com/101330886281662826237/Filmy?authkey=Gv1sRgCKnb-ZDkusnAZg#5552797998650154818 3. http://goo.gl/photos/FQ9DcEzMXl 4. http://www.mixpod.com/playlist/75598703 5. http://www.mixpod.com/ 6. http://www.mixpod.com/ringtones/75598703 7. http://mixpod.com/ 8. http://mixpod.com/ 9. http://mixpod.com/

ivasil (2010-12-19 07:05:48) A wonderful Christmas to you too! Best wishes from the Bucharest team! Anonymous (2010-12-21 06:31:45) singing* We wish you a Merry Christmas We wish you a Merry Christmas We wish you a Merry Christmas full of maths, food and fun! We wish that you spend holidays with family and friends Spread love and be happy and healthy always :) Much love and Happy Holidays from Greece! -Veta

Xmas Greetings from Elefsina (2010-12-20 16:24) [EMBED] On the twelfth day of Xmas, my true love gave 2 me Twelve perfect numbers, Eleven loops a-leaping, Ten [1]tangents touching, Nine diameters, Eight hypercubes, Seven spirals spinning, Six Cantorâ&#x20AC;&#x2122;s circles, FIVE MATH RINGS, Four fractal sets, three dragon curves, two square roots and an Axiom of geometry! 1. http://www.google.gr/imgres?imgurl=http://library.thinkquest.org/20991/media/geo_tan.gif&imgrefurl=http:// library.thinkquest.org/20991/geo/circles.html&usg=__A3s--84DeY9p7HbXf9uTiIcgTaA=&h=300&w=400&sz=3&hl= el&start=0&zoom=1&tbnid=etB9jzGYmkWtgM:&tbnh=134&tbnw=187&prev=/images%3Fq%3Dtangent%252Bmaths%26hl%3Del% 26biw%3D1268%26bih%3D535%26gbv%3D2%26tbs%3Disch:1&itbs=1&iact=rc&dur=516&ei=N9oPTbr8I4OX8QPrrZGGBw&oei= N9oPTbr8I4OX8QPrrZGGBw&esq=1&page=1&ndsp=13&ved=1t:429,r:9,s:0&tx=52&ty=62

ivasil (2010-12-22 08:25:26) A wonderful present, thank you very much! Merry Christmas- Craciun fericit!

The Dancing Beans (2010-12-21 01:59)

[1] In a pot, there are 75 white beans and 150 black beans. By the pot, thereâ&#x20AC;&#x2122;s a bag of black beans. A playful chef takes out the beans from the pot one by one like this: he randomly picks two beans- if at least one is black, he puts it in the black beans bag and the other one (regardless of its colour) back into the pot. If both beans he picked are white, he throws them away and puts a black bean from the bag into the pot. Each time he does that, the pot holds fewer beans, and in the end only one bean is left in the pot. What is its colour? 1. http://4.bp.blogspot.com/_EfVHcJYs5Gw/TRBeh5hKodI/AAAAAAAAFSA/HmWfGGLc4HE/s1600/images1.jpg

Erik Atsma (2010-12-21 02:15:21) Nice one!! Logic thinking is enough! Desi :} (2010-12-23 02:51:08) White :-) DesirĂ¨ - Italy Rocco (2010-12-23 03:57:17) At the end the bean who is left in the pot is white, because white beans get out from the pot only in pairs and they are 75. So, being the white beans odd, the bean who is left in the pot is white. ROCCO from Italy ivasil (2011-01-19 14:22:15) Yes, Rocco, you are right! :)Good thinking!

Xmas greetings from Italy (2010-12-23 03:46) Card by Rocco [EMBED] [1]

[2]

[3]

Card by Desirè [EMBED] [4]

[5]

[6]

1. http://www.slide.com/pivot?cy=bb&at=un&id=1441151880784895783&map=1 2. http://www.slide.com/pivot?cy=bb&at=un&id=1441151880784895783&map=2 3. http://www.slide.com/pivot?cy=bb&at=un&id=1441151880784895783&map=F 4. http://www.slide.com/pivot?cy=bb&at=un&id=1297036692709182396&map=1 5. http://www.slide.com/pivot?cy=bb&at=un&id=1297036692709182396&map=2 6. http://www.slide.com/pivot?cy=bb&at=un&id=1297036692709182396&map=F

ivasil (2010-12-23 10:30:53) Thank you very much for the beautiful cards. Merry Christmas from the Bucharest team!

Happy New Year (2010-12-28 09:19) [1] Already the best wishes for 2011 from snowy Amsterdam. The tree almost looks like a fractal in the snow! It is situated in the park behind our school. 1. http://2.bp.blogspot.com/_Q8RmoDvlcJI/TRoAeyRq3sI/AAAAAAAAAbg/D5pUF59aons/s1600/Afb038.jpg

ivasil (2010-12-28 09:51:05) A wonderful year to you and your students! Best wishes from snowy Bucharest. libelef (2010-12-29 05:44:54) Best wishes from a tepid Elefsina! Maria Teresa Asprella (2010-12-30 11:27:55) Best wishes from Matera!!!

Happy New Year! (2010-12-31 10:54) This is a slideshow of the live nativity scene ”Crib of Love” held in the Sassi of Matera on the 29th December. It is said to be the largest live crib in Italy. A real Guinness! 25

Best wishes!!! To view this photo slideshow you need to have Flash Player 9 or newer installed and JavaScript enabled. This [1]flash slideshow was created with PhotoSnack photo slideshow maker. 1. http://www.photosnack.com/

ivasil (2011-01-04 01:55:04) Happy New Year and thanks for the virtual visit to Matera! Rocco (2011-01-07 07:24:44) Matera is a beautiful town and these photos prove it. Happy New Year!!! Anonymous (2011-01-11 05:26:55) Excellent! Very nice job and very nice customs, that impressed me. I loved it and definitely will visit your town. Congratulations!lefteris, elefsina

Chapter 2

2011 2.1

January

Logo contest - the winners! (2011-01-03 03:56) [1] [2] [3] [4] [5] [6] Here are the six winning logos from every country. The teachers are now going to vote between these six logos to decide the overall winner. Congratulations to these six winners! 1. http://4.bp.blogspot.com/_Q8RmoDvlcJI/TSGeFic2KoI/AAAAAAAAAcQ/603v9GfOWcQ/s1600/tania.jpg 2. http://2.bp.blogspot.com/_Q8RmoDvlcJI/TSGd_hxoS5I/AAAAAAAAAcI/erDOUq_ve9c/s1600/Pomegranate%2Bteam%2Blogo% 2B2.jpg 3. http://1.bp.blogspot.com/_Q8RmoDvlcJI/TSGd_B0FdJI/AAAAAAAAAcA/agmpmSRCvt8/s1600/Manal.jpg 4. http://2.bp.blogspot.com/_Q8RmoDvlcJI/TSGd-8-zybI/AAAAAAAAAb4/AMrgx4nbinE/s1600/classlogo%255B1%255D.JPG 5. http://1.bp.blogspot.com/_Q8RmoDvlcJI/TSGd-8e2hrI/AAAAAAAAAbw/EnD6U6k3mMg/s1600/Carmela.jpg 6. http://3.bp.blogspot.com/_Q8RmoDvlcJI/TSGd-kupOuI/AAAAAAAAAbo/dhc9UGansC4/s1600/Alena.jpg

ivasil (2011-01-04 02:28:12) Thank you Erik for your work. We are eager to see the final winner!

Our school: Liceo Duni (2011-01-04 03:02) Have a look at some of the activities in our school! [EMBED] [1]Make photo slide shows at www.OneTrueMedia.com 27

1. http://www.onetruemedia.com/landing?&utm_source=emplay&utm_medium=txt0

ivasil (2011-01-04 03:33:09) Wow! A lot of interesting things! I am curious- what are the ball outfits for? Natalie Mantikou Greece (2011-01-05 15:35:31) I like your school very much! Maria Teresa Asprella (2011-01-06 11:14:42) The outfits were used in a school show called ”900”: the history of a century through its music and dancing rhythms. It was an amazing performance! Maria Teresa Asprella (2011-01-07 16:58:46) Thank you Natalie! Ana (2011-01-18 03:21:13) Nice school. You’re making a wonderfull team. I’m proud to work with you, Italian team!

A Romanian tale: Five Loaves of Bread by Ion Creanga (2011-01-06 12:55) This is a nice tale with a lot of Maths in it. Oana found it and wrote about it. We hope you like it! [EMBED] And here is the Mathematical ”solution”, sent by Mihnea. [EMBED] Erik Atsma (2011-01-18 02:15:04) Nice to see that a judge can have a mathematical mind as well!! ivasil (2011-01-19 00:56:43) Thanks, Erik, we posted the mathematical detailed explanation as well.

Stepping through a recipe card! (2011-01-07 03:30) [EMBED] [1]

[2]

[3]

You see Ismail going through a recipe card. Would it (theoretically) be possible to let the whole class 2vt (12 students) step through this card? If so, how would you do that? 1. http://www.slide.com/pivot?cy=bb&at=un&id=2161727821164952796&map=1 2. http://www.slide.com/pivot?cy=bb&at=un&id=2161727821164952796&map=2 3. http://www.slide.com/pivot?cy=bb&at=un&id=2161727821164952796&map=F

ivasil (2011-01-08 14:39:48) My first answer would be: do just the same and have them go through one by one. :) libelef (2011-01-09 09:50:01) How about writing their names on a piece of paper and getting ”them” to step through? Erik Atsma (2011-01-13 10:36:03) Nope... look closely at the procedure (on the TS) and try to think of a way to fit the whole group in it... ivasil (2011-01-13 11:06:32) OK, one more try: to fit in all the 12 kids in a row, we have to make the perimeter bigger. Since only the cut parts can make the difference, we must make more cuts. Not really 12 times bigger (i.e. 12x14-1=168-1=167 cuts), because they don’t have to be surrounded each by the paper strip. I think we need to know what shape are your kids in section: round, square, rectangular? :) Erik Atsma (2011-01-14 07:53:45) You are totally on the right track. To make the hole bigger you have to have more cuts! How many cuts there should be isn’t interesting, just the idea that you theoretically could fit this whole group in the card! Or in fact, our whole school, or in fact ..... (we can go on for ever!) ivasil (2011-01-14 12:54:20) That was easy, we feared we had to specify the number of cuts and had started thinking of ways to position to group to get the best result! :)

We have a winner (2011-01-14 07:48) After two rounds of voting, one by the students and one by the teachers, we finally have our winner! It’s Manal from Amsterdam. Here is her winning logo!

ivasil (2011-01-14 12:53:00) Congratulations from Bucharest, it’s a well deserved first place! libelef (2011-01-15 05:13:29) Congratulations, Manal! It was very hard to choose, since even from round 1 all logos had something special! Anonymous (2011-01-15 11:23:23) Thank you all very much guys! Manal

Mihnea (2011-01-15 12:55:29) Congratulations, Manal! It’s a fantastic logo! You definitely deserve the first place! Mihnea from Bucharest Maria Teresa Asprella (2011-01-15 12:58:50) Congratulations Manal from the Matera team! Bravo! Anonymous (2011-01-16 07:13:08) Again thanks a lot! I actually did not expect it because I think the other logos were very good as well. Greats from Me ; Manal from Amsterdam Andrei (2011-01-18 03:23:08) Manal from Amsterdam , congratulations !!! It’s the best logo !!! Marta , Oana , Andra (2011-01-18 03:38:59) It’s a very interesting logo. Congratulations ! Manal (2011-01-18 13:16:07) Thanks! Tania (2011-01-19 02:22:52) Congratulations Manal ! Your logo is really great! Your logo is was the winner because you did it by your hand . I did my logo on a special program ! Anyway ... You have a great logo ! Tania from Bucharest ivasil (2011-01-19 02:27:26) Thank you, Tania, for your fair-play. Don’t be sad, there will be more contests! :) Anonymous (2011-01-21 06:32:01) Congratulations!!!I think that your logo is perfect and it can represent our work with a very good way!!!Of cource,all logos are very intresting.So,congratulations to all of you!!!!! the pomegranate seeds Manal (2011-01-21 12:15:27) Yes, that’s totally true. And Tania, your logo was funny. But clearly not everybody agrees with me, otherwise you would have won the contest:D. I was really suprised because I think there definately were logos better than mine! But ofcourse I’m glad I won. THanks to everybody who congratulated me.

A mathematical.... painting! (2011-01-19 16:01)

[1] We propose an artistic-mathematical challenge. In this painting, realized in the late 1800s, a lesson of math is represented. The teacher asked his students to do this operation in their minds: [2] Iâ&#x20AC;&#x2122;ll tell you that the answer is 2, now you need to find: 1 which property of these numbers could have been used to solve this hard calculation in your head 2 if this is the only series of 5 consecutive terms that has this property 3 the name and the artist of the painting and to which real character itâ&#x20AC;&#x2122;s referred Have fun! I invite you to propose other artistic-mathematical games!

[3] The Greek team found an interesting parallel to the beautiful paining. 31

Here is a photo from the Zosimaia Academy in the town of Yannina in Greece showing a trigonometry class. Note that there is a girl among the boys, too. We are guessing the photo is early 20th century. Here is a nice Maths lesson we found, the boy looks a bit overwhelmed, does he not?

Photo ÂŠ Victoria and Albert Museum, London[4] 1. http://3.bp.blogspot.com/_6KTgw7lkqyk/TTdhBZJsUbI/AAAAAAAAAHg/xDejJjbNjgo/s1600/dipinto%2Bmisterioso.jpg 2. http://3.bp.blogspot.com/_6KTgw7lkqyk/TTdgjCblcnI/AAAAAAAAAHY/Ek4F95REm08/s1600/formula.gif 3. http://2.bp.blogspot.com/_AfIwIXyR2BM/TUKNBPqjSRI/AAAAAAAACr8/oRvFMovlH_Y/s1600/zosimaia.jpg 4. http://3.bp.blogspot.com/_EfVHcJYs5Gw/TUqx8peUfHI/AAAAAAAAFZQ/m4Hf57q0zNo/s1600/2011-02-03_1545.png

ivasil (2011-01-20 08:06:40) A nice painting and a nice riddle, not very easy! We are already working on it! Thank you! Anonymous (2011-01-26 03:24:49) Its a great painting i think that is a masterpiece!!!Nikos Litsas,from the greek team Maria Teresa Asprella (2011-01-29 12:29:21) thanks to the Greek team for the nice picture! ivasil (2011-02-03 07:53:29) Here is one from us, too. Do your students look like this sometimes? During tests, maybe? :)

A mathematical... painting!- a solution (2011-01-24 03:18) Thank you for the nice riddle! Here is a solution from Ana (Bucharest). [EMBED]

Maria Teresa Asprella (2011-01-26 16:04:12) Well done Ana! Congratulations for your prompt solution! Thames Education (2011-08-08 02:58:08) It is easier, and you can do it in your heads as the boys in the painting, if you split the numbers in the numerator and do the squares. For example, 12ˆ2 is (10+2)ˆ2 and if you do the square: (10+2)ˆ2 = 10ˆ2 + 2x2x10 + 2ˆ2 Use this pattern and you can solve it in your head. Great painting though!

Riddle from Amsterdam (2011-01-25 05:07) Here is a spicy riddle from Bugra from Amsterdam: A tortoise is walking home to his well deserved piece of lettuce after his long working day. The distance to its home is 10 km. Since tortoises aren’t usually in a hurry, he decided to take a five-minute break after walking half of the distance. The tortoise repeats this: each time it has walked half the remaining distance it takes a five minute break before continuing. Will this tortoise ever get home? Explain your answer!

ivasil (2011-01-25 09:11:41) A nice one, thanks! :) Anonymous (2011-01-27 01:43:07) This reminds us of Zeno’s paradox. Zeno was an ancient philosopher who lived 2.500 years ago. A paradox is a statement seemingly contradictory to common sense yet perhaps true (I searched the Miriam Webster on-line!) For example you want to reach a room. First you have to cover half the distance to reach it. Then you have to cover half of the remaining distance. Then you do the same to eternity and you never get there!! Find more in http://www.mathacademy.com/pr/prime/articles/zeno tort/index.asp Nikos and Lefteris from the Pomegranate team Mihnea (2011-02-08 11:07:11) The tortoise has to walk the distance D=10 km. I. It walks: Dx1/2 and take a break II. It walks: (D x 1/2) x (1/2) = D x (1/2) x (1/2) III. It walks: (D x 1/2) x (1/2) x (1/2) = D x (1/2) x (1/2) x (1/2) . . . . . . . . . n. It walks (D x 1/2) x ..... x (1/2) = D x (1/2) x ..... x (1/2) ; n belongs to N So the tortoise has to walk D/2 by n times and then it takes a break. N has an infinite elements. So D x (1/2) x ..... x (1/2) is infinite. The tortoise has to take an infinite number of breaks. The tortoise never arrives home. This problem is very funny and interesting.

Mihnea Vonica, From Bucharest, Romania ivasil (2011-02-08 11:14:37) What Mihnea (who, by the way, is the group’s Mathematician!)wants to say is that the number of fractions that have as denominator powers of 2 is infinite, therefore the number of breaks will be infinite. I hope I got you right, haven’t I, Mihnea? Well, Bugra, is his answer correct? Bugra (2011-02-15 02:19:15) Hi everybody, sorry that I’m answering so late... I’ve seen your comment (calculation) and it’s all correct. I didn’t know that someone would give such an answer. And your answer is also correct, ”The tortoise >never < arrives home”! Thank you for your comment Mihnea. See you later, Bugra, West-Amsterdam, The Netherlands

Answer from Amsterdam to the Mathematical Painting. (2011-01-26 02:42)

[1]Answer Mathematical Painting Here our answer to the mathematical painting. We didn’t give an answer to the painter and the name since that answer was already given. This subject of removing brackets was by coincidence our last subject in our schoolbook! 1. http://www.scribd.com/doc/47584613/Answer-Mathematical-Painting

Maria Teresa Asprella (2011-01-26 16:04:56) Thank you Erik! Your answer is very interesting!

A mathematical painting: a possible solution from Matera (2011-01-26 16:12)

A possible solution from Desirèe [1]bogdanov 1. http://www.scribd.com/doc/47624896/bogdanov

Let’s write a Fibonacci poem! (2011-01-31 13:49)

[1] Here is a new challenge, one that brings together Maths, poetry, food and learning about each other- we hope you find it appetizing! But, first, a few words about Fibonacci and his numbers. Fibonacci (c. 1170 – c. 1250) was an Italian Mathematician , considered by some ”the most talented western mathematician of the Middle Ages”. He is best known for spreading the nowadays Arabic numeral system in Europe and and for the number sequence named after him. The first two numbers in his sequence are 0 and 1, then each number is the sum of the previous two: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...that is [2] There are many interesting things about these numbers, but maybe the most intriguing is they appear very often in nature: the petals of flowers, the arrangement of leaves on a stem or branches on a tree, the bees or rabbits population numbers, the fruitlets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of pine cones and more, as you can see in the video.

IFRAME: [3]http://www.youtube.com/embed/ktLcSH4UkpE We have already seen that Math and poetry are sometimes connected and one way of doing that is writing poems that have a Mathematical form, such as Fibonacci poems: the first two lines have 1 word, then 2 words, 3, 5, 8 etc. Let us try to write a Fibonacci poem for each team, a bilingual poem (in English and our mother tongue) about bread (and what it means to us). It will help us learn more about our cultures and- why not?- about numbers and words! Photo source and more information on the Fibonacci sequence [4]here. 1. http://1.bp.blogspot.com/_EfVHcJYs5Gw/TUcaZTU-tsI/AAAAAAAAFYg/BJjDFnw5PM0/s1600/sneezewort.GIF 2.

http://2.bp.blogspot.com/_EfVHcJYs5Gw/TUcj_f9rPZI/AAAAAAAAFYw/xbBvfW0_E3U/s1600/

0cebc512d9a3ac497eda6f10203f792e.png 3. http://www.youtube.com/embed/ktLcSH4UkpE 4. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html

2.2

February

Geometry and us to thank the Greek team (2011-02-02 12:27)

We are the lucky winners! We got the parcel with the luck coin from the Greek team! Thank you very much. It was great fun to open the parcel and discover one by one the presents inside. We decided to go on with the fun and students made a drawing of themselves in Geometry World. Here you have the result. Enjoy it.

IFRAME: [1]http://player.vimeo.com/video/19442755 [2]Geometry and us from [3]Valentina Cuadrado on [4]Vimeo.

[5] 1. http://player.vimeo.com/video/19442755 2. http://vimeo.com/19442755 3. http://vimeo.com/user2529350 4. http://vimeo.com/ 5. http://3.bp.blogspot.com/_AfIwIXyR2BM/TUo0CB7nX9I/AAAAAAAACug/ZFao3u_G9PA/s1600/welcome.jpg

libelef (2011-02-02 20:22:51) Along with the lucky coin (an old greek drachme, before the euro) we wish everyone in Spain as well as our other partners a very prosperous year! Pie cutting is still going on in our school, in the classes and in bureaus of education. The excitment of seeing who gets the coin still holds strong! ivasil (2011-02-03 02:39:44) We have a different tradition in our school, kids randomly pick a classmate to exchange gifts with. I wish I knew what you were planning, we could have done the same and include all the teams in the gifts exchange. My students would have loved it. Too late now. ivasil (2011-02-03 02:46:27) This comment has been removed by the author. Natalie and Nick (2011-02-03 04:32:21) We love your geometry people!! They are really great and seem happy! Fancy and funny, thank you very much! Cheers!! Natalie and Nick from greek (pomgranate) team!

Spanish team Fibonacci BREAD poem (2011-02-03 08:48)

[1] Golden wheat, our wealth in ancient fields. Harvesting, threshing, grinding in mills for soft flour to be kneaded into BREAD, in the solitary dawn of the baker’s strong hand, the crusty wrapping waits. For the poor and the rich. For toothless crawling eaters and walking ones. For slim purses and huge hearts, a TREASURE. SPANISH TEAM FIBONACCI BREAD POEM in SPANISH Trigo dorado, nuestra riqueza de tierras antiguas. Cosecha, trilla, molienda en molinos para que harina suave se amase en PAN, en el alba solitaria de manos fuertes de panadero, el crujiente envoltorio espera. Para pobres y ricos. Para comensales desdentados que gatean y los que caminan. Para bolsillos delgados y corazones inmensos, un TESORO. 1. http://3.bp.blogspot.com/_qRBz-9_NqU0/TUrCSmLMbgI/AAAAAAAAEMA/sAfwfr8FwjA/s1600/IMG_1940.jpg

Erik Atsma (2011-02-04 02:40:45) In Spanish it is even nicer than in English, although I don’t speak the language. But seeing the two poems togeter, you can learn a little bit of Spanish along the way! ivasil (2011-02-04 02:54:00) I agree, it’s very nice and it seems more ”musical” in Spanish! It was a good idea making bilingual poems, Erik!

caluad (2011-02-04 13:39:56) Yes, I agree with you, a bilingual moment helps you understand the other.

More mathematics in arts (2011-02-04 02:35) I have found another painting which involves mathematics. It is a painting of the English mathematician John Wallis (1616-1703). It is made in 1648 by the Dutch painter Ferdinand Bol and is called: “Portret van een mathematicus” (Portret of a mathematician). [1] [2] 1.

http://4.bp.blogspot.com/_Q8RmoDvlcJI/TUu62t6sQuI/AAAAAAAAAcs/Ga94B_uYlMo/s1600/ferdinand_bol_-_portret_

van_een_mathematicus_klein.jpg 2.

http://1.bp.blogspot.com/_Q8RmoDvlcJI/TUu62x_8RpI/AAAAAAAAAc0/xkiWcS3KIn4/s1600/ferdinand_bol_-_portret_

van_een_mathematicus_stelling.jpg

ivasil (2011-02-04 02:55:03) Nice one! Could you guess the problem he was working on? :) caluad (2011-02-04 13:42:38) I couldn’t! of course. But by now, everybody knows I’m no Mathematician at all.

The Fibonacci poem from Greece (2011-02-04 07:41)

[1] Fighting Famine Bread, Beans Poor man’s food Savored once in ancient Greece Wheat was gifted by the gods to us Soup made of holy beans, raised the world’ s brightest brains whose methodology remains Beans, Bread, as divine med, sent from heaven to heal and spread. Wondrous works were read and made within philosophy’s array. œ¹± ¦±Ã¿»¬´± š±¹ ÈÉ¼¯ ™Ã¿´Å½±¼µ¯ ¼µ µÅÇ® £ÄÉ½ ÄÌÄµ •»»®½É½ Ä¿ ÄÁ±À-¶¹ •Å»¿³¯± ÄÉ½ ¸µÎ½, µ¯½’ Ä¿ ºÁ-±Â ÄÉ½ ÆÄÉÇÎ½ £¯Ä¿Â, ´ÎÁ¿ Ä·Â ¸µ¬Â, ¬ÁÄ¿Â -³¹½µ ³¹± ¼±Â, À±½Ä¿Í ´¯½¿½Ä±Â ¶É®, ±½¬»±ÆÁ· ±½±À½¿® œ±¸·¼±Ä¹º¬ ¼Å±»¬ ¾ÍÀ½·Ã±½ ¼µ Ì»’ ±ÅÄ¬, º±¹ Æ¹»ÌÃ¿Æ¿¹ ¼µ³¬»¿¹ ¬ÁÇ¹Ã±½ ±½µ¼¿¶¬»· ÃÄÉ½ µÀ¹ÃÄ·¼Î½ Ä¿½ ºÌÃ¼¿ Ì»± ¬»»±¾±½ ´¹±¼¹¬Â º¹ -¼µ¹½±½ ±¸¬½±Ä±. 38

1. http://1.bp.blogspot.com/_AfIwIXyR2BM/TUwBlXj790I/AAAAAAAACus/SRA55Nv24Kw/s1600/DSC09182.JPG

ivasil (2011-02-04 10:40:24) Very nice! A question: would you advice the poem is written first in English or in our mother tongue? How did you do it? Thank you very much. caluad (2011-02-04 13:37:05) Nice poem. I noticed we have a common word: ancient. It makes me think we all are thinking, more or less, about the same. And this quite natural since we are Europeans libelef (2011-02-05 03:07:56) It wasn’t easy. So my respects to the Spanish team. We did it in English first, knowing that it is easier to adapt it in our mother tongue. We decided to give the gist of it in Greek, so it isn’t a word for word translation.

A Maths drawing (2011-02-04 13:25)

[1] Maurits Cornelis Escher, known by its initials, MC Escher (born 17 June 1898 - d. 27 March 1972) was an artist, engraver and illustrator from the Netherlands . He lived for many years in The Hague, where a museum was opened in his honor, the Escher Museum. His most famous works have as a starting point impossible objects and optical illusions. Our question is: what famous Mathematical object can you see in this drawing? The official Escher site is[2] here. [3] 1. http://3.bp.blogspot.com/_EfVHcJYs5Gw/TUxS7b4rmNI/AAAAAAAAFZg/K5JIyuKiIJU/s1600/escher.jpg 2. http://www.mcescher.com/ 3. http://www.mcescher.com/

caluad (2011-02-04 14:28:46) It reminds me of the video you made with your students.: Moebius Band, wasn’t it? ivasil (2011-02-04 14:31:55) Right! Thank you for remembering the video and for the answer!

ivasil (2011-02-05 02:53:02) More about the Moebius strip and the source of the image at http://www.cut-the-knot.org/do know/moebius.shtml

you

caluad (2011-02-05 06:59:21) How tricky translation can be! According to my answer, Moebius had a music group, like Rolling Stones!It’s quite clear ”strip2 is the good one. Thanks ivasil (2011-02-05 09:16:05) No, it’s called either way, you were not wrong at all. :)

Infected or curious? (2011-02-04 14:10)

[1]

[2] This is part of a painting in Spanish Navy Museum at San Fernando. It shows: Churruca from Trafalgar battle story. He’s holding a paper with some writing about Diferential Calculus, isn’t he? And 40

[3] The mathematician could be working on the Unit Circle that explains the Trigonometric Functions. Did I do well? Now, you made me feel curiosity and found this site: [4]http://mateturismo.wordpress.com/category/pintura/page/6/ 1.

http://1.bp.blogspot.com/_qRBz-9_NqU0/TUxe-eZ5XJI/AAAAAAAAEMU/cbXAO8EBicA/s1600/matematico-ferdinand-bolt.

jpg 2. http://4.bp.blogspot.com/_qRBz-9_NqU0/TUxeT6PStNI/AAAAAAAAEMM/BYRSXYbnKpQ/s1600/churrucad.jpg 3.

http://1.bp.blogspot.com/_qRBz-9_NqU0/TUxe-eZ5XJI/AAAAAAAAEMU/cbXAO8EBicA/s1600/matematico-ferdinand-bolt.

jpg 4. http://mateturismo.wordpress.com/category/pintura/page/6/

ivasil (2011-02-04 14:41:27) I think that your answer on the Dutch painting is correct. And yes, it’s calculus, and next to it maybe a drawing of sails! Amazing. This is great, because if you are ”infected” (or even curious),you have big chances to ”pass” it to your students. Imagine: even the English teacher thinks Maths can be fun,this is a strong argument! More than if a Math teacher says it! The site looks really interesting, I have to look it thoroughly. Thanks! Erik Atsma (2011-02-05 08:47:16) This was also my idea. A unit circle to explain the sin, cos and tan functions! How nice that you are coming to enjoy mathematics!!!

Artful Maths (2011-02-05 02:15) The Atom Artful Gallery Where major and minor mathematicians pose for you. [EMBED]

ivasil (2011-02-05 02:49:31) If it’s not too much to ask, can the Greek team tell us the names of these Mathematicians? Thank you! Maria Teresa Asprella (2011-02-06 13:39:10) I’ve recognized some Italian scientists: Maria Gaetana Agnesi, Galileo Galilei, Luca Pacioli and Euclid?s portrait from Raffaello. I would like as well to know the names of the other mathematicians! Anonymous (2011-02-07 04:06:44) The woman is Ada Lovelace, Lord Byron’s daughter. Nikos form the pomegranate team.

The first Fibonacci poem from Bucharest (2011-02-07 11:25) Maybe there will be more, it’s a work in progress. Please remember I’m just a Math teacher and don’t be too strict!

[1] This yellow shining brightly on our flag between the red and bluethe bread between the blood and the skyis nothing less than the line of our history, the reason, the ”why”. The bread our parents put on the table when the day ends, a tired smile in their eyes, is the time. Romanian version: Galbenul acesta 42

str lucind aprins pe drapelul nacional a_ezat între ro_u _i-albastru, e chiar pâinea stând între sânge _i cer, e istoria noastr întreag , real , cu-ncerc ri _i str mo_i care lupt _i pier. Pâinea cald pus seara pe mas de p rincii no_tri ce ne zâmbesc cu ochi obosici nu-i altceva decât timpul

etern.[2]

1. http://3.bp.blogspot.com/_EfVHcJYs5Gw/TVArX625sRI/AAAAAAAAFao/hQr0-01D50I/s1600/droppedImage.jpg 2. http://1.bp.blogspot.com/_EfVHcJYs5Gw/TVAxnM1qVhI/AAAAAAAAFaw/2G0I2ycY8go/s1600/Picture%2B021.jpg

caluad (2011-02-08 14:18:57) I like the word timpul. Very nice! ivasil (2011-02-08 14:37:54) Means ”the time”, the final l is the definite article. :) Thanks.

The second Fibonacci bread poem from Bucharest (2011-02-08 09:43)

[1] honest, it sounds better in our own language.

We wrote this one in Romanian first, so to be quite

Golden wheat is where the bread begins. Hands are printed in it as in a mysterious steaming fairy-tales book. Many lives were sacrificed for the earth that this wheat has grown from. For souls filled with warm aroma, for the energy of young bodies, bread is a gift from the mist of time. Romanian version Auriul spic de grâu e începutul pâinii. În pâine multe mâini citim, ca într-o carte de pove_ti aburind misterios. Multe vieci s-au jertfit pentru p mântul din care acest gâu a-ncolcit. Pentru sufletele noastre îmb ls mate de c ldur _i pentru energia trupurilor tinere, pâinea e un dar trimis de str mo_i din negura timpului. 1. http://3.bp.blogspot.com/_EfVHcJYs5Gw/TVFk547ciEI/AAAAAAAAFa4/96-5iAvYMEk/s1600/droppedImage_3.jpg

caluad (2011-02-08 14:23:25) This poem is also a homage to silent collective effort, to the fight for rights. In a certain way, we all are re-doing our own history. Congratulations!

ivasil (2011-02-08 14:36:12) You were right, kids are full of surprises and today, I had a very nice one. We enjoyed writing this.

Working for the poems (2011-02-08 10:20)

Here we are, writing the poems. [EMBED]

Fibonacci in art (2011-02-09 12:22)

[1] The flight of numbers by artist Mario Merz, a luminous equipment on the Mole Antonelliana in Turin - Italy, represents Fibonacci numbers. Do you know any other artistic works inspired to Fibonacci numbers? Yes, in fact this is what we found: on the chimney of the power station in Turku (Finland) one can see the Fibonacci numbers from 1 to 55. They actually are 2m high neon lights. The building was also designed by Mario Merz and it was the first commission of an environmental art project in 1994. The architect calls it â&#x20AC;?a 45

metaphor of the human quest for order and harmony among chaos.â&#x20AC;? (source [2]here)[3] [4] 1. http://3.bp.blogspot.com/_6KTgw7lkqyk/TVLcGidoe1I/AAAAAAAAAH0/cy4hbIPoaqE/s1600/mertz.jpg 2. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html#arch 3. http://3.bp.blogspot.com/-KXHQ7odd4F4/TVQmDw8dlDI/AAAAAAAAFcE/UbQL_IIr8GI/s1600/turku.jpg 4. http://2.bp.blogspot.com/_6KTgw7lkqyk/TVLbhAGND_I/AAAAAAAAAHs/Lmr6yZgnfkA/s1600/56326.jpg

More about Fibonacci and Arts (2011-02-10 03:31)

[1] 46

”Fibonaccis Traum” Painting by Martina Schettina 2008 We also found this wonderful musical score based on Fibonacci numbers. Enjoy! IFRAME: [2]http://www.youtube.com/embed/OXixo7Zbljg 1. http://upload.wikimedia.org/wikipedia/commons/4/43/Fibonaccis_Traum.jpg 2. http://www.youtube.com/embed/OXixo7Zbljg

Ana (2011-02-16 02:50:04) Wow! That’s really great. He plays beautifully :) Thanks! This song makes me think about the universe, and the universe makes me think about Maths ;)

First Fibonacci poem from Amsterdam (2011-02-11 07:45) Here is my own Fibonacci poem. It’s more about our project than about bread... The rest will come in an ebook about Fibonacci poems. Wiskunde? Brood? Eén gedicht? Kan dat wel? In a Taste of Mathematics? In dit project mengen we wiskunde en voedsel! Dit gedicht is gebaseerd op de rij van Fibonacci, bekend van de konijnen. Brood eten we allemaal in alle landen van ons project, maar Nederland staat bekend om de kaas die we daarop eten! Wiskunde is overal om ons heen: denk aan de natuur in combinatie met de rij van Fibonacci, denk aan het rekenen met geld in het dagelijks leven, denk aan architectuur met zijn gulden snede. Maar het belangrijkste is dat de wiskunde nu zes landen verbindt: Spanje, Griekenland, Italië, Tsjechië, Roemenië en Nederland werken samen en wisselen hun cultuur uit met de andere landen over het onderwerp voedsel en we proberen dat te doen door te kijken hoe voedsel samenhangt met wiskunde door bijvoorbeeld leuke raadsels over wiskunde en eten. Deze regel zal zeker de laatste zijn, aangezien negenentachtig woorden al moeilijk genoeg is om als één regel te schrijven en het zo goed als onmogelijk zal zijn om een regel te maken met honderdenvierenveertig woorden en een wiskundige is wel goed met getallen, maar het schrijven van een gedicht ligt erg ver van zijn abstracte geest af, dus het is verstandiger om dan maar weer wiskunde en voedsel te combineren, wat voor velen ook al erg vreemd is, maar in dit project wordt aangetoond dat dat leuk is. Mathematics? Bread? One poem? Is that possible? In a Taste of Mathematics? In this project we mix mathematics and food! This poem is based on the sequence of Fibonacci, known from the rabbits. We all eat bread in all the countries of our project, but the Netherlands are known for the cheese on top. Mathematics is all around us: think about the nature in combination with the sequence of Fibonacci, think about calculations with money in ordinary day life and even think about architecture and the golden ratio. But the main part is that mathematics is connecting six countries: Spain, Greece, Italy, the Czech Republic, Romania and the Netherlands are collaborating and exchanging their culture with the other countries about the subject food and we try to do that by seeing how food and mathematics connect by solving riddles about 47

mathematics and food. This line will definitely be the last one, because eighty-nine words are hard enough to write in one single line and it will be pretty close to impossible to make a single line with one-hundred-and-forty-four words and a mathematician may be good with numbers, but writing a poem like this is a long way of his totally abstract mind, so it might be a lot wiser to mix mathematics and food again, something very odd for many people, but in this project it is shown to be great fun. [1] 1. http://1.bp.blogspot.com/-HEKBSyYO5JE/TVU-g4e2ITI/AAAAAAAAAdE/CU3NSN-ZuNE/s1600/FoxTrotFibonacci.gif

libelef (2011-02-11 08:41:11) :D ivasil (2011-02-11 09:53:53) Absolutely wonderful, thanks, Erik! After a looooong day at school, seeing this was really great. :) Ana (2011-02-16 02:47:35) That’s really funny :)) Thank you, Amsterdam. Congratulations from Bucharest ;) Mihai (2011-02-17 03:23:24) It’s a very funy and a very BIG POEM.I realy like it and I think it’s the best Fibonacci poem.Thanks from Bucharest

The secret geometry (2011-02-11 08:07) [1]KRYFH GEOMETRIA [EMBED] View [2]more presentations or [3]Upload your own. The secret geometry in the School of Athens, St Peter’s Basilica in Rome, 1560 By G. Matzaridis. Translated by the Pomegranate team seeds Vretti Kotorou and Natalie Mantikou. By encircling [4]Plato’s and [5]Aristotle’s heads, I include their thoughts and theories in a circle. By connecting the two philosophers’ eyes, the circle’s diameter is created. Right after that, I draw the middle vertical line of the diameter. The intersection of the diameter and the vertical line is the center of the circle. I draw two lines starting from the center of the circle, each ending on [6]Pythagoras’ and [7]Euclid’s’ heads. I connect the ending points of those two lines with another line, and what do you know: an isosceles triangle! I draw the bisectors of the base-angles of the triangle, the extension of which points directly to [8]Thucydides and [9]Aeschenes. Then, I extend the lines of the triangle’s sides towards Apollo and Athena, I connect the ending points and another isosceles triangle is created! I draw the bisectors of the two angles of the new triangle, and they once again point to Thucydides and Aiskenes. Then, from the center of the circle, I draw the verticals of the two isosceles triangles. The extension of the line shows the perspective of the painting. The triangles’ vertical creates 4 rectangular triangles. From the latter, I draw the verticals of each right angle. The straight line which unites the two intersections of the four verticals passes from the center of the painting and intersects all of the philosopher’s heads. Conclusion: The major impact of the ancient Greek way of thinking on Renaissance artists. The interrelationship of the ancient world’s sciences. The greatness of Art as the highest form of expression. Conclusion II : “Let no one ignorant of geometry enter” in Plato’s academy. It seems that the ones who did 48

enter, did it through Raphael’s brush. None the less, we, the fresco’s admirers, “entered” the painting only when we discovered the geometrical patterns that are revealed in the painting. Only then did we come to appreciate the deep symbolism it conveys. 1. http://www.slideboom.com/presentations/205252/KRYFH-GEOMETRIA 2. http://www.slideboom.com/ 3. http://www.slideboom.com/upload 4. http://www.poems.net.au/images/plato.jpg 5. http://www.legacee.com/Assets/Mindset/Ethics/AristotleEthics.jpg 6. http://faculty.etsu.edu/gardnerr/Geometry-History/Pythagoras-Rapheal.jpg 7. http://www.newbanner.com/AboutPic/athena/raphael/nbi_eucl.jpg 8. http://rpmedia.ask.com/ts?u=/wikipedia/commons/thumb/2/25/Raffael_069.jpg/98px-Raffael_069.jpg 9. http://upload.wikimedia.org/wikipedia/commons/2/25/Raffael_069.jpg

Happy Valentine’s Day! (2011-02-14 04:35)

[1] Just in case you want to try, the functions are: f(x)= abs(x)+sqrt(36-x2 ) g(x)= abs(x)-sqrt(36-x2) It takes some time for the Geogebra file to load- be patient! If you can’t see it, try [2]here. IFRAME: [3]http://irina2009.webs.com/heart1.html your browser does not support IFRAMEs 1. http://4.bp.blogspot.com/-d6K4A2b3dPo/TVkIaWpDrDI/AAAAAAAAFcU/FkVspo99ZJU/s1600/heart.ggb.png 2. http://irina2009.webs.com/heart1.html 3. http://irina2009.webs.com/heart1.html

AToM Valentine (2011-02-15 02:24)

[1] From the fantastic site [2]IMAGINARY, where you create an image from a mathematical concept. Browse and get ideas [3]HERE. 1. http://1.bp.blogspot.com/-K7k5NbjKlxk/TVo3bb3eMgI/AAAAAAAAC1s/7qUnytsPQdQ/s1600/atomimaginary.jpg 2. http://www.imaginary2008.de/galerie_view.php?gal=51 3. http://www.imaginary2008.de/

Riddle from Amsterdam (2011-02-15 06:09) Here is another riddle from Amsterdam. Ismail is the one that handed it in. You have a big barrel filled with oil. Beside that you also have two empty cans that can hold 3 litres of oil and 5 litres of oil. For a price winning competition you have to measure an amount of exactly 4 litres. How can you do that with these two cans? [1] 1. http://1.bp.blogspot.com/-7eWaNWnJl3Q/TVpuO2SVD_I/AAAAAAAAAdM/ESfK26vTFbc/s1600/oil.jpg

Anonymous (2011-02-18 06:25:46) Hey guys! Vretti here from the Pomegranate team :) I tried to solve this riddle on my free period but I’m not the brightest crayon in the box as far as maths are concerned so I got Odysseas to help me...and here’s the solution: To begin with, we fill the barrel that can hold 3 litres of oil. Then we pour these three liters in the barrel that can hold 5 litres. After that we once again fill the barrel that can hold 3 litres and with that we fill the 5 litre barrel. So now we have 5 litres of oil in the 5 litre barrel and one litre of oil in the 3 litre barrel. Continuing, we take the 5 litre barrel and empty its whole content in the first barrel and then we pour the 1 litre from the 3 litre barrel in the 5 litre barrel. And at last we fill the 3 litre barrel and pour its content in the five litre barrel which already had 1 litre of oil. Tada! We have 4 litres of oil in the 5 litre barrel. So did Odysseas get it right? And if yes...what’s the price? Just joking ;) Anonymous (2011-02-23 11:16:48) hahaha.. Pity enough no price, but Nicely done ;) Greetings, Ismail Anonymous (2011-03-11 06:19:03) Hehe...it’s ok! Thank you :)

Odysseas and Vretti from the Pomegranate team.

Riddle from Amsterdam: nothing may be eaten! (2011-02-15 07:11) A man is walking with a sheep, a head of lettuce and a wolf. He sees a river and sees a boat. The boat can only hold two things, but if he leaves the sheep with the wolf, the wolf will eat the sheep, so he can’t do that, and if he leaves the sheep with the lettuce, the sheep will eat it. How can he get across the river without anything being eaten? [1] This riddle is handed in by Zakaria. 1. http://2.bp.blogspot.com/-_zYWDPlVdrs/TVp8EoQrK6I/AAAAAAAAAdU/QWThES9dWu0/s1600/riddle.bmp

ivasil (2011-02-15 10:28:55) This riddle is very well known here, in fact we used to consider it a part of our folklore, but you proved us wrong! :) Anonymous (2011-02-18 04:02:26) Let’s see... At first he’ll take the sheep across the river. Then he’ll go back and take the wolf and get him across the river but he’ll take the sheep back with him. So now we have the wolf across the river, the lettuce still at the start and the sheep on the boat. The man will go to the start, leave the sheep but he’ll take the lettuce across the river. Then he’ll go back and take the sheep across the river...and here you go ;) Vretti, Pomegranate team ivasil (2011-02-20 04:48:13) In fact, our version does not have a sheep but a goat, and solving a task involving contradictory interests is called here in a joking manner: ”to reconcile the goat to the cabbage”. :) Zakaria (2011-03-05 12:22:07) VRETTI THAT WAS THE GOOD ANSWER

First Fibonacci poem from Italy (2011-02-15 09:30)

[1] Bread 51

• Bread. • Nature • Harmonic life.. • Love among persons. • A symbol of hard work. • Way to peace; my hand in your hand. • The simplest food but the most important symbol of serenity, brotherhood and happiness. • Let’s create a circle to celebrate the harmony among nations; to celebrate bread; let’s eat this symbol: this sign which unites. • A food which includes the colors of the world, which includes the smiles of happy children. The only one way of union of cultures, traditions. A history book which tastes of stories of good persons.

[2]Pane • Pane. • Natura. • Vita armonica. • Amore fra persone. • Un simbolo di duro lavoro. • Via pacifica; la mia mano nella tua mano. • Il più semplice pasto ma il più importante simbolo di pace, fratellanza, felicità. • Facciamo un cerchio per festeggiare l’armonia fra le nazioni; per festeggiare il pane; mangia questo simbolo: questo simbolo che unisce. • Cibo che comprende i colori del sole e della terra. Che comprende i sorrisi di bambini felici. L’unica via di unione di culture, tradizioni. Libro di storia che sa delle storie dei buoni. ROCCO MAZZEI 1. http://1.bp.blogspot.com/-xsovjU0UAyo/TVqdxueK5cI/AAAAAAAAAIU/8vjtlKgtlxs/s1600/panematera.jpg 2. http://4.bp.blogspot.com/-EolRXRVbLB0/TVqex-AgF9I/AAAAAAAAAIs/Szgh01TwlSg/s1600/pane.jpg

ivasil (2011-02-15 10:30:09) This is really nice! Thanks, Rocco! Erik Atsma (2011-02-15 11:32:50) Wow! This is really a poem, not just some lines together in a story!! Great work Rocco! Rocco (2011-02-16 01:33:09) Thanks a lot! Rocco Mihai (2011-02-17 03:05:28) Hi I’m Mihai and I realy like your Fibonacci poem. You have a very nice inspiration Mihnea (2011-02-24 02:17:22) Your poem it’s great Rocco! It’s clearly that you are talented! Rocco (2011-03-12 13:50:35) I’m very happy for your compliments! Thanks a lot! :-) Rocco

Sequences (2011-02-15 15:35)

[1] I recommend you a very interesting [2]site, completely dedicated to sequences. Have fun! 1. http://1.bp.blogspot.com/-MsCie2QJjOs/TVryRcLX9wI/AAAAAAAAAI0/abaK1DuZgwI/s1600/SUCCESSIONI.bmp 2. http://oeis.org/

17 sheep (2011-02-20 04:53) One more riddle, it’s also a well-known one here, but I’m sure some of you have similar ones. :) Enjoy it! The ”real” Maths tasks will begin soon! [EMBED]

zakaria (2011-02-23 12:35:34) 8 to the oldest, 6 to the second, 2 to the youngesst and one to the younger sister ivasil (2011-02-23 12:36:58) You funny guy! There is no sister! Try harder! :) Eva Bauerova (2011-03-01 13:46:05) Gabriela and Alena´s solution: Sons have to borrow 1 sheep (they will have 18 sheep). The oldest son has 9 sheep (half of 18 sheep), the second 6 sheep (a third) and the youngest 2 sheep = 17 sheep. And then they can return 1 sheep. ivasil (2011-03-01 13:49:55) Right! Congratulations to Gabriela and Alena!

Poem from CR (2011-02-20 14:45) Melu, melu zlatou paeni ku, do modrého hrní ku. A~ paeni ku umelu, budu péct A~ upe u, budu jíst housky, chleba, rohlíky a kolá ky, zbytek dáme pro ptá ky. A~ se ptá ci napapají, veselou písni ku nám zazpívají. I grind, grind gold wheat into blue cup. When I grind, I will bake, When I bake, I will eat buns, bread, rolls cakes, the rest we´ll give for birds. When birds finish it, they´ll sing a funny song.

The task from the Czech Republic (2011-02-20 15:33) It’s a nice task about the school canteen. Thank you! [EMBED] Anonymous (2011-02-25 06:40:40) We’ll give it a try...! 0,2x + 0,4(180-x)= 55,4 0,2x + 72-0,4x= 55,4

72 - 55,4= 0,4x - 0,2x 16,6= 0,2x x=83 Did we get it right? Odysseas,Pomegranate team :) Anonymous (2011-02-25 06:48:18) 83 is the number of the 0,2l glasses and 97 is the number of the 0,4l glasses... Odysseas, Pomagranate team ivasil (2011-02-25 09:08:54) As you remember from my last emails and as we had decided from the very beginning, the answers to the tasks are to be given in the same form, that is in a post, a Powerpoint, animation etc., so we will be waiting to see yours. Thanks.

Second Fibonacci poem from Matera (2011-02-20 15:48)

[1] Bread One, bread, Matera’s bread, my only love, made only with clean hands, soft dough is kneaded and baked to perfection, the crust is hard as rock yet it’s flesh is soft and delicate, each ingredient plays an important role to make each bite a wonderful and memorable one, as flavours dance in my mouth, all should be grateful and show their thanks to the baker as every drop of sweat and hard work has gone into making this wonderful bread, Matera’s bread will always be in my heart. 55

[2] Pane

Un pane pane materano mio unico amore fatto esclusivamente da mani pulite l’impasto morbido è impastato e cotto alla perfezione la crosta è dura a vedere ma l’anima è morbida ed è delicata ogni ingrediente ha un importante ruolo per rendere ogni morso meraviglioso e indimenticabile, come una danza di gusti nella mia bocca. Dovremmo essere grati, ringraziando il fornaio per ogni goccia di sudore e per il duro lavoro per realizzare questo meraviglioso pane Materano, se lo provi te ne innamori!! resterà per sempre nel mio cuore

from Camilla and Melissa 1. http://3.bp.blogspot.com/-XRxM_ZFcaQ8/TWGN88MwKRI/AAAAAAAAAI8/XN0hb2qPwKQ/s1600/pane1.jpg 2. http://1.bp.blogspot.com/-almE1GIhDdw/TWGOGZFcbXI/AAAAAAAAAJE/wfU6XOq0nrc/s1600/pane-di-matera.jpg

Learning about ancient Mathematical thought (2011-02-20 16:46)

[EMBED]

Happy spring! (2011-02-22 12:32)

[1] March 1st. Have a happy spring!

Ready to be sent to our partners for

1. http://3.bp.blogspot.com/-ZGI461KQVcM/TWQBf2plb9I/AAAAAAAAFdE/kbopG3nCwUs/s1600/Picture.jpg

Maria Teresa Asprella (2011-02-22 14:42:46) what a kind thought!Thanks a lot! Erik Atsma (2011-02-28 15:10:23) Hi Irina and the Bucharest students, we received your presents today, just in time for the 1st of March! We want to thank you a lot for these kind presents and wishes. Great idea! ivasil (2011-02-28 15:14:41) Really? you’re the first ones. My students were just asking today how long it would take. I’m happy they got there! Have a happy first day of spring tomorrow! Maria Teresa Asprella (2011-03-02 14:55:02) Hello, today has been a great day for us: we have received your wishes and presents. You’ve been so kind and we have felt so close to you. We thank you so much and wish you a wonderful spring too! ivasil (2011-03-02 15:11:06) We are very happy that our warm wishes and our tiny token of appreciation arrived safely! :)

The Math Task from Greece (2011-02-25 08:46) IFRAME: [1]http://www.youtube.com/embed/tkMnLArN7eI Here is a simple (or so it seems) math task for the next etwinners in line: Try to make 4 equal squares by moving only 2 bread sticks from the initial shape. See our trials and errors, so you pick up where we left off. The correct answer will be given only if you give up! Good luck!! (By the way we ate our math task, since we had a meeting after school and were a bit hungry) 1. http://www.youtube.com/embed/tkMnLArN7eI

ivasil (2011-02-25 09:11:33) Nice one! I am sure the Italian team will enjoy it! Thank you! Maria Teresa Asprella (2011-02-28 14:28:10) Thank you. We are working on it. It is a very nice game!

A late Valentines gift... (2011-02-25 10:24) [1]Valentijn2 Translation to English: Entangled Möbiushearts 1. You need: a ruler, a pencil, a pair of scissors, glue and two pieces of paper (cut pieces out of a piece of A4 paper with a width of 4 cm. It works the best if the paper is red. 2. Draw on both pieces on both sides, parallel to the longest side, a line through the middle. 3. Make of both pieces a Möbiusring: bring the ends of one piece together and turn one of the ends half a turn to the right. Stick the ends together. 4. Bring the ends of the other piece together and turn one of the ends half a turn to the left. Stick the ends together. 5. You now have two Möbiusrings that are a mirror view of each other. 6. Stick the two Möbiusrings together. Do it so, that on the spot with the glue the two rings are perpendicularly on each other. Make sure that the square part, where the two pieces are together, is totally covered with glue. 7. Let your secret love cut both Möbiusrings along the lines drawn in step 2. Watch it: you have to cut everything, even the part where the two rings are glued together! The first Möbiusring is a bit difficult to cut, because you have to make a hole first with the scissors. The second one is easier. 8. The result: Two entangled hearts. A nicer way to steal someone’s heart is unthinkable! 1. http://www.scribd.com/doc/49544399/Valentijn2

ivasil (2011-02-25 14:59:52) Nice gift, thanks, Erik! It shows Mathematicians have a heart too-even two, if given glue and a pair of scissors!:)

Math task from Bucharest (2011-02-28 11:16) This is the task for the next team in line, that is the Spanish one, but all the other teams are welcome to solve it too! 58

Have fun with our friend Mr. Mac! [EMBED] Erik Atsma (2011-02-28 15:15:22) haha, nice one! caluad (2011-03-08 09:09:14) Students worked on the task with their Maths teacher and now we are deciding on a nice to provide our answer and preparing our own task, but there are a couple of ideas and we have to come to an agreement. Thanks for waiting Erik Atsma (2011-03-09 02:58:47) We have our answer ready to post, but we will wait for the Spanish team, since it’s their assignement. It was as nice to do as it looked!

2.3

March

Bucharest Answer to the Czech Task (2011-03-01 12:40) [1]CZ Task Answer 1. http://www.scribd.com/doc/49795966/CZ-Task-Answer

Greek answer to Czech task (2011-03-02 11:12) [1]Atom Solution 1. http://www.scribd.com/doc/49846070/Atom-Solution

Maths task from Amsterdam for Bucharest (2011-03-03 03:31) [1]Cultural Flavours - Packaging Here is the maths task from Amsterdam for the Bucharest students. Have fun with it! 1. http://www.scribd.com/doc/49924671/Cultural-Flavours-Packaging

ivasil (2011-03-03 12:28:09) Thanks. You will have to give us some time because my students don’t learn about solids (except for cuboid and cube) this year, so I will have to give them some ”extra” formulas. But, I hope we will manage! :) Erik Atsma (2011-03-05 05:56:01) I’m sure that will be no problem for you!

Matera, our hometown (2011-03-03 15:08)

Pauline and Letizia have made a small video to show you Matera, our hometown. We hope you’ll like it! IFRAME: [1]http://www.youtube.com/embed/HAMTYut3Hgc?rel=0 1. http://www.youtube.com/embed/HAMTYut3Hgc?rel=0

ivasil (2011-03-03 15:48:02) Very nice video!Thank you for this visit to Matera! Erik Atsma (2011-03-05 05:57:03) Well done Pauline and Letizia! Nice video, especially the old part! caluad (2011-03-08 02:40:53) Travelling, even virtually, is the best way to know and understand. Thank you very much for this opportunity!

Matera answer to the Greek task (2011-03-05 12:56)

IFRAME: [1]http://www.youtube.com/embed/ba3qlq36tYc?rel=0 1. http://www.youtube.com/embed/ba3qlq36tYc?rel=0

ivasil (2011-03-05 13:01:52) Well done! Congratulations! Maria Teresa Asprella (2011-03-05 14:13:49) Thanks :-)) efi loupaki (2011-03-07 11:49:13) We’reglad you made it!congratulations! Erik Atsma (2011-03-11 06:31:08) Now it works! I didn’t work for a while here. Nicely done like this!

Carnival everywhere (2011-03-07 16:16)

[1]

[2]

Picture slideshow created with Smilebox 1. http://smilebox.com/play/4d6a4d7a4f5459344e6a413d0d0a&blogview=true&campaign=blog_playback_link 2. http://www.smilebox.com/?partner=google&campaign=blog_snapshot

ivasil (2011-03-07 23:44:52) Happy carnival and happy March 8th. Smilebox is a nice tool to work with, I like it.

Dutch answer to the Czech Task (2011-03-08 02:42) Here you can see our answer to the Czech task. [EMBED] ivasil (2011-03-08 07:37:54) Hi Erik, it’s nice seeing that you have solved the Czech task too! By the way, we have been solving your task today, which was not ”playground stuff”, but serious work! :) However, it will take a while for me to put it in a nice form, because I’m preparing two conference presentations right now. You will have to wait for us! :) Thanks. Erik Atsma (2011-03-08 09:11:31) Hi Irina, no problem. I knew it wasn’t an easy task and I’m glad that you managed it!

ivasil (2011-03-08 09:33:20) You seem to have liked the Vuvox! :) Erik Atsma (2011-03-08 10:02:38) I do! But now not so much anymore.... I just made the answer to your task.... and it didn’t save, it kept saying unable to save... Now I have to redo it some other time... ivasil (2011-03-08 10:11:58) A pity. It must be the server,but maybe the site saved it automatically. Anyway, you will manage it, I am sure!

March, 8th (2011-03-08 03:10) For Librarians, Mathematicians, English teachers, girls and women in our schools. For those men who understand Gender Equality has to become a live reallity.

[1]

[2]

Customize your own [3]free slideshow design 1. http://smilebox.com/play/4d6a4d304d4455354d6a673d0d0a&blogview=true&campaign=blog_playback_link 2. http://www.smilebox.com/?partner=google&campaign=blog_snapshot 3. http://www.smilebox.com/slideshows.html

ivasil (2011-03-08 08:22:42) For us, this is mainly Mother’s Day, so we have class and school performances. Anonymous (2011-03-11 04:25:23) This is very interesting!Mother’s day in Greece is in the second Sunday of May.From the pomegranate team!:)

caluad (2011-03-11 11:39:10) Mother’s Day in Spain is the first Sunday in May, similar to the Greek celebration.

Women’s (mathematicians’) Day! (2011-03-08 03:36)

[1] ’I am in my own right a whole person, responsible to myself alone for all that I am, all that I say, all that I do. When I add the sum total of my graces, I confess I am inferior to no one.” Declared in the 18th century by Marquise [2]Emile du Chatelet, one of the few mathematicians prior to women’s liberation. With her you can see Lord Byron’s daughter, [3]Ada Lovelace, the Russian [4]Sophia [5]Kavolevsky, and the ancient Greek [6]Hypatia of Alexandria. Happy Women’s Day to our AToM females! 1.

https://lh3.googleusercontent.com/-RHhT3aXcioA/TXXyXmaL0AI/AAAAAAAAC3E/LBoYMW20CVI/s1600/atomwomenmaths.

jpg 2. http://oregonstate.edu/instruct/phl302/philosophers/chatelet.html 3. http://inventors.about.com/od/lstartinventors/p/Ada_Lovelace.htm 4. http://www.blogger.com/goog_310563425 5. http://library.thinkquest.org/TQ0312134/sofia.html 6. http://womenshistory.about.com/od/hypati1/a/hypatia.htm

Dutch answer to the Greek task (2011-03-08 09:13) Here our answer to the Greek task. In two parts: how we worked and a little video of the answer! [EMBED] IFRAME: [1]http://www.youtube.com/embed/AuMEIYQGGpo?rel=0 1. http://www.youtube.com/embed/AuMEIYQGGpo?rel=0

ivasil (2011-03-08 09:55:26) Great, well done! You are so hard-working, Dutch team! :) libelef (2011-03-08 12:52:38) Well done, Amsterdam. We tried empirically, you gave us the math solution! Anonymous (2011-03-11 05:02:28) Good job!Continue this way....! Dimitra, Greece

The bread of Matera (2011-03-09 10:07) Bread is an important symbol of Matera. Its culture has got deep roots in the city’s history. Bread is produced by skilled masters with hard wheat flour, according to a very ancient recipe. It has been at the heart of the city life for centuries and it is still the ”sacred” food on families’ dining tables. Up to the 1950s housewives used hard wooden stamps to mark their loaves so as to recognize them once baked. Numerous stamps ar still on display at Museo Archeologico Nazionale Domenico Ridola of Matera. Luca has made this video to share our tradition with you. The soundtrack is a traditional folk song in Matera’s dialect IFRAME: [1]http://www.youtube.com/embed/emdux4butnI?rel=0 1. http://www.youtube.com/embed/emdux4butnI?rel=0

ivasil (2011-03-09 11:33:59) Thank you, Luca, for sharing this, it’s great and we found many new things and many resemblances with our place.Bread is a very important, in a way a sacred food for us too, and one that has to be eaten at every meal. The story about the stamps is very nice and the song is great! What is the name of your dialect? Is it still spoken? Could you please post this video on the TS to, in Cultural Flavors? Thanks again. luca (2011-03-10 16:48:07) Our dialect is the Matera dialect and it is still spoken, even though teenagers use it less and less. Thank you for appreciating our traditions. I’m so glad you feel them so close to yours. This unites each other even more! Luca Erik Atsma (2011-03-11 06:29:16) Nice video Luca! We liked it very much in Amsterdam!

The answer from Bucharest to the Dutch task (2011-03-10 13:46) The realy hard part was to solve and explain this with/to 6th graders: no functions, no derivatives, they don’t even know radicals yet. But, some parts were very fit into the syllabus, and the anticipation of Pi was useful to the project. Thanks, Dutch team...but we’re exhausted! :) I hope it’s OK! [1]Packaging on [2]Prezi [3] 1. http://prezi.com/8y-wwl4e7-9a/packaging/ 2. http://prezi.com/ 3. http://prezi.com/

Erik Atsma (2011-03-11 06:25:59) Nice work from Bucharest!! The answer is correct and presented in a nice way. I might go away from Vuvox ;) To your question about the wikipage. I think the table still can be correct, but there is a difference between the side and the ratio. They use the same letter a, but thers is a big difference. If the sides are a, then the ratio of the dodecahedron is not a (if you look at it like it is almost a circle). In the table, the right hand side column says that the sphere has the smallest ratio! ivasil (2011-03-11 08:21:13) Yes, you are right, and besides our solids had the same volume, not the same side. You should try Prezi, it takes a bit to get used to it, but it’s worth the time. Besides, unlike Vuvox, you can download the presentation and show it offline, which is very handy. You can upload files and movies in it, it’s more flexible than Vuvox.

Maths and chocolate (2011-03-10 15:47)

[1] [2]Here is how maths can be more tasty! 1. http://4.bp.blogspot.com/-uSO089g5h1I/TXlHIEcQjnI/AAAAAAAAAJs/58RW3TTg0BI/s1600/chocolate1.bmp 2.

http://www.telegraph.co.uk/foodanddrink/foodanddrinknews/5094374/

How-eating-chocolate-can-help-improve-your-maths.html

libelef (2011-03-11 03:03:51) Delicious! Of course the team here totally agrees and you can see that in the Cooking Maths page where we have tranlated a similar article from the Greek press! Erik Atsma (2011-03-11 06:20:56) So, that’s why I like chocolate so much!! caluad (2011-03-11 15:22:32) I’m not so sure, Erik! I’m a chocolate addict. And my Maths skills have not appeared so far. I may have done something wrong when eating or drinking chocolate. ivasil (2011-03-11 15:41:52) I would start buying tons of chocolate for my students if I knew this helped! But I doubt it!

Ávila answer for Bucharest task (2011-03-11 15:11) We hope it is the correct answer. It was great fun! Thank you [1]our answer 1. http://www.scribd.com/doc/50557986/our-answer?secret_password=ve3lkyll53cbj3wdnry

ivasil (2011-03-11 15:48:57) The answer is the right one and it looks really nice! Thank you very much! ivasil (2011-03-11 16:14:17) Would you please put it in the TS too? I’s so nice, I’d like to have it there too. caluad (2011-03-11 18:14:23) Right, I will

Happy Pi Day (2011-03-13 03:18)

[1] IFRAME: [2]http://www.tagxedo.com/art/2eb6105bccc04863 Happy Pi Day to all our partners! Click on the words in the image and see what happens! 1. http://3.bp.blogspot.com/-xvCAqC-d-vw/TXyBKZb3jeI/AAAAAAAAFgM/u4OOOYC4BNA/s1600/pi-berational.jpg 2. http://www.tagxedo.com/art/2eb6105bccc04863

Maria Teresa Asprella (2011-03-13 17:28:16) Thank you! Anonymous (2012-02-12 02:09:28) This is hanging on the wall in my school! Anonymous (2012-03-14 10:03:53) Happy Pi day! :D 3.141592653589793238462643383279502884197169399375105820974944592307 816406286208998 I love that comic, I’, using it as my PiPod’s lock screen. =)

Happy Pi Day (2011-03-13 15:54)

[1] Enjoy the day.

1. http://1.bp.blogspot.com/-0ygyhOwbVwk/TX0wCHRRRrI/AAAAAAAAEPk/5ieR054DCRg/s1600/IMG_2219.JPG

ivasil (2011-03-13 16:35:17) Nice image, I like the compasses! Thanks.

Happy Pi Day (2011-03-13 17:24)

[1] 1. http://3.bp.blogspot.com/-bbz-P9lAdoY/TX1EJZIyBII/AAAAAAAAAJ0/Y_yWYyaZJ3g/s1600/pi%2Bgreco.gif

Happy Pi Day from the native speakers! (2011-03-14 02:41)

[1] In Greek À is pronounced almost as ”p”. A little team research led us to a mnemonic called [2]piphilology, that is how to memorise the first digits of the endless constant À. Here goes one we liked: µ ˜µÂ œ-³±Â ³µÉ¼µÄÁµ, Ä ºÍº»¿Å ¼º¿Â ½± Á¯Ã ´¹±¼-ÄÁ, À±Á®³±³µ½ Á¹¸¼½ À-Á±½Ä¿½, º± ½, Æµ, ¿´-À¿Äµ »¿½ ¸½·Ä¿ ¸ µÁÉÃ¹ Translation:

The Great God applies geometry forever; To define the length of the circle using its diameter, He produced 68

an infinite number, Which, alas, mortals will never find in its entirety. [3] The image comes from a 13th century manuscript in France, depicting Christ as a geometre, and it seems to suit the above mnemonic well. [EMBED] 1. https://lh3.googleusercontent.com/-knn_T4OeWtM/TX3F9QDIJsI/AAAAAAAAC3k/_DYEa1wZSII/s1600/pday2.jpg 2. http://en.wikipedia.org/wiki/Piphilology#Katharevousa_.28archaizing.29_Greek 3.

https://lh5.googleusercontent.com/-ABuSK_Z8JGo/TX3GzMrnh5I/AAAAAAAAC3o/zRANiIpaR28/s1600/imagesCAA70YKM.

jpg

ivasil (2011-03-14 04:06:46) We use mnemonics for memorizing the first digits of Pi, I even teach one to my students each year, although itâ&#x20AC;&#x2122;s a piece of advice for teachers.

The math task from Italy (2011-03-14 03:03) [1]Task From Italy 1. http://www.scribd.com/doc/50687711/Task-From-Italy

ivasil (2011-03-14 04:08:15) A yummy task, Iâ&#x20AC;&#x2122;m sure the Dutch team will enjoy it! Than you! Erik Atsma (2011-03-14 07:39:28) Nice one! We are already working on it! The only disadvantage is that I have to go and by sweets ;) (and a lot of them...) ivasil (2011-03-14 10:20:41) Yes, Erik, you MUST buy sweets because we want to conect Maths to real life! :)Enjoy! Maria Teresa Asprella (2011-03-14 14:26:55) All my pupils are in a big trouble: most of them have got a bellyache due to eating lots of sweets!

Happy Pi-day from Amsterdam (2011-03-14 07:25) [1] [2] 1.

http://1.bp.blogspot.com/-txay-B-lTA0/TX4LDy89jaI/AAAAAAAAAdk/W9KNDNEed20/s1600/

how-many-digits-of-pi-do-you-know.gif 2. http://3.bp.blogspot.com/-IL7lbl-wHTw/TX4Jb9MTD8I/AAAAAAAAAdc/pFSCQvF_oHU/s1600/piday.gif

Answer to the Romanian task from Amsterdam (2011-03-14 07:36) Here is the answer from Amsterdam to the Romanian task. It was a nice task to do! [EMBED] ivasil (2011-03-14 10:23:07) Wonderful! Nicely done and really funny. Wait till my students see both answers tomorrow! Thank you! caluad (2011-03-14 11:04:52) I agree on the funny aspect. Answers are really interesting. One of my students said: â&#x20AC;?Teacher, 625 square meters is larger than my flat. Is it possible?â&#x20AC;? So, Maths is magical after all! All my life refusing the subject and what I was really missing was fun and magic. I must deduce teachers are important! ivasil (2011-03-14 12:09:40) This is a big compliment for all of us Maths teachers here! Thank you.

Pi Day art exhibition (2011-03-14 13:13) [EMBED] Students were required to make as many representations of Pi as they could, using recycled material from home: pieces of cardboard, cloth, threads, bricks, paper and so on. We defined Pi in the English class and we talked about its use. ivasil (2011-03-14 13:41:42) A lot of Pi! :)But none edible, was it? Nice seeing the students wear the Pi pins. Thanks for sharing this and welcome among the Vuvox users! caluad (2011-03-14 14:16:01) not edible ones yet!

Matera answer to the Bucharest task (2011-03-15 14:04) [EMBED]

ivasil (2011-03-15 14:51:43) Another great and funny solution! Thank you, Matera team! We are so happy that so many of our partners enjoyed our task! ivasil (2011-03-15 14:54:15) PS Interesting to see that you solved it differently and with more advanced Maths, according to the students’ age. :) Ana N. (2011-03-22 11:59:13) Great job, Matera team! Mr. Mac is proud of you ;)

Our Book (2011-03-15 14:56) Ladies and gentlemen, girls and boys, [1]here is our collaborative Fibonacci poems book. I think it’s a nice project outcome and a good illustration of the ”unity in diversity” concept. Many thanks to all the teams for their wonderful work! [EMBED] [2]

| View Sample [3]Photo Books | Create your own [4]Photo Book

1. http://www.mixbook.com/photo-books/all/fibonacci-5228670 2. http://www.mixbook.com/ 3. http://www.mixbook.com/gallery 4. http://www.mixbook.com/photo-books

Rocco (2011-03-15 17:31:47) It’s really a very good idea! Thanks Atom! :-) Erik Atsma (2011-03-16 04:59:50) It looks very nice! Great work from all of us! Especially the writers of the poems: our students! caluad (2011-03-16 13:29:42) At the beginning I thought it would be very hard for students to achieve their aims with the poems, but I could easily see they enjoyed the combination numbers and letters, concrete and abstract. I would like to congratulate all the participants, especially students. ivasil (2011-03-16 13:39:08) They saw the fixed form as a game, as a challenge-at least my students. It was a pleasure witnessing them ”play” this way. Maria Teresa Asprella (2011-03-17 03:26:01) Great work! It’s so nice to see that creativity, art and Maths can be just one thing! Congratulations to the authors! efi loupaki (2011-03-18 07:00:02) It is great, it looks great, it makes us feel great ! Erik Atsma (2011-03-28 15:57:15) A printed version ( a little bit different from this one...) is now ordered. As soon as I have it I will send it to you!

ivasil (2011-03-28 16:40:36) Great news, thank you for the work. Please let us know...:)

Glogster (2011-03-16 16:44) [EMBED] ivasil (2011-03-17 01:22:40) Very nice! I like the candy one! Did you guys eat the candy after the exhibition? :) caluad (2011-03-18 13:50:15) No, they didn’t, but they were about!

Maths and Crochet (2011-03-17 03:12)

[1] An unusual way of modeling non-Euclidean Geometry, in fact the only way to make a physical model of hyperbolic space that allows us to feel, and to tactilely explore, the properties of this unique geometry: crochet. You can see more and read about it [2]here. Since March is woman’s month, here is one more homage to the women Mathematicians- and one more of their contributions! 1. http://3.bp.blogspot.com/-_ivpK44byBg/TYHDEhkxZnI/AAAAAAAAFgs/LaW9oVQDbhM/s1600/crochet_02.jpg 2. http://www.theiff.org/oexhibits/oe1e.html

efi loupaki (2011-03-18 06:48:28) This photo brought me back to my childhood ! My grandmother used to make such masterpieces which she called ”sea flowers”. Though she knew nothing about geometry, euclidean or non euclidean, she could see the beauty in it !

Efi Loupaki caluad (2011-03-21 11:40:49) I find working with textiles very relaxing. Even if you don’t know about geometry, there is a lot of Maths involved in crochet, cross stitch, knitting. And results are reasonable, beautiful, ordered. So, not only music but needle work has connection with Maths.

Italy is 150 years old! (2011-03-17 16:11)

[1] Today we celebrate the 150th year of national unity. A great holiday! We are so proud of being Italian, European and world citizens! 1. http://4.bp.blogspot.com/-37Rd4C90I9A/TYJ5K0KQkAI/AAAAAAAAAJ8/K3ooiY2w2Nc/s1600/150.jpg

ivasil (2011-03-17 16:14:24) Congratulations and best wishes from Bucharest! Pomegranate team (2011-03-18 06:07:31) Congrats from Elefsina! Seems that spring brings nice things, our national independence day in in a week from now! Greetings!! Erik Atsma (2011-03-18 09:20:30) Congratulations from Amsterdam as well!! Maria Teresa Asprella (2011-03-18 16:52:26) Thank you everybody! We wish a good independence day to the Pomegranate team! caluad (2011-03-21 11:25:14) I had not read your post and a student told me this morning. So, congratulations from the Spanish team. Being a nation is important! Our best wishes! Ana N. (2011-03-22 11:54:23) Happy holiday from Bucharest. Keep up the good work. I think it’s a very important day for italian population. Italy is a great country and I’m proud to enjoy this project with all of those important countries

Answer to the Italian task from Amsterdam (2011-03-18 09:17) Here our answer to this yummy task! [EMBED] Maria Teresa Asprella (2011-03-18 15:59:06) Wonderful and funny work. Bravi! Maria Teresa Asprella (2011-03-20 10:39:45) We have found a solution avoiding formulas, just eating loooooots of sweets! When Francesca takes two sweets, she takes one more than Olga (who has taken just one). When Francesca again takes four, she takes one more than Olga (who had taken three). So, in the end, Francesca has taken two more than her friend. In order to have 10 sweets more than Olga, Francesca needs to ”help herself” ten times and so does Olga. Since no sweets are left, we can claim that in the box there were: 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20=210 sweets!

Maths contest in Matera (2011-03-20 11:22)

[1] Yesterday an important Maths contest took place in our school. It was the Semifinal of the International Contest of Maths Games, organized by the prestigious Italian Bocconi University - Milan. 444 students joined the event, from 11 to 19 years old, 103 were from our ”Liceo Duni”! A great Maths festival!! 1. http://2.bp.blogspot.com/-pCzJXWv9GI0/TYYpygf3ukI/AAAAAAAAAKE/I6mIkb82krc/s1600/P1010072.JPG

Erik Atsma (2011-03-28 15:55:20) Hi Italian team and Maria Teresa, We hope you did great on the maths contest! In June two of our class (together with two students from the first grade) are going to be in a mathemical contest as well!

Task from Ávila (2011-03-22 13:40) [EMBED] 74

Projects are a virtual journey into the partners’ towns and lives. But, it would be nice to meet face to face. Just in case, here you have a possible way to get money. We hope you enjoy it. ivasil (2011-03-22 15:13:20) Nice task and very well fit into our syllabus. We have to start thinking about fundraising methods! :) caluad (2011-03-22 15:50:01) you see, ther could be a possibility! Erik Atsma (2011-03-28 15:52:59) Hi Valentina, this was a nice task! Contrary to the other task, I didn’t let my students bring so many potatoes to school ;) I will post the answer as soon as the Czech team solved it. We don’t want to spoil their fun! caluad (2011-03-28 15:57:10) thanks Erik for waiting. I’ll speak to Sergio, the Maths teacher. He’s not at school at the moment because of eye surgery, but I’ll contact him. Mihnea and Andrei (2011-03-29 03:40:24) This fundraising problem is very interesting and we solved it in our maths class. We think that it is useful and funny. Thanks!

Flashmeeting from Karviná (2011-03-27 09:44) [EMBED] It was our ”program” for Flashmeeting. ivasil (2011-03-27 12:35:06) Thank you, Czech team. It was really nice to see you, hear your voices and riddles. The Romanian students will watch you next Tuesday! caluad (2011-03-27 13:18:52) It is very nice, the Spanish team will see you on Wednesday. Thank you very much for the video Erik Atsma (2011-03-28 15:50:59) Nice video! We watched it today and liked the song. We also did the exercises and learned how to calculate with radius, diameter and circumference and area! Mihai (2011-03-29 03:43:20) It’s a good video. I liked the song and the problems were very interesting. Thank you for the video, it was great!

A Piece of Pie in... (2011-03-29 01:42) Here is our next collaborative task. It’s for all the teams to solve and put it in a nice form. Enjoy it! [EMBED] 75

caluad (2011-03-29 14:26:28) Thank you very much, it will help an English teacher, me, to work on Maths while I’m taking the Maths teacher position. ivasil (2011-03-29 14:30:11) This will be a new and hopefully nice experience!I’d like to change subjects for a while too!

Project of the month in Spain (2011-03-31 10:52) [1] Hi everyone, our project is voted project of the month in Spain. Click [2]here to see the full text! 1. http://2.bp.blogspot.com/--740FWgM3JE/TZSj9oQdDGI/AAAAAAAAAds/dZtaFS--Xjc/s1600/tostada.jpg 2. http://www.etwinning.es/en/best-projects/426-atom-una-nueva-forma-de-estudiar-matematicas

ivasil (2011-03-31 14:24:32) Thanks, Erik, for the post,and congratulations to the Spanish team and to all the other teams! caluad (2011-04-01 01:33:12) I think it is not the Spanish Team. a project becomes good when it is really dynamic for all the groups. so, ocngratulations to everybody. Maria Teresa Asprella (2011-04-03 10:00:52) I think a project is going to be successful only when is really involving! Congratulations to everybody, students and teachers! Erik Atsma (2011-04-04 02:35:47) The nice thing is that everybody could see this... When going to the livestream of Budapest, this message was on the same page as the stream! So millions must have seen it ;) ivasil (2011-04-04 02:45:05) We did some ”advertising” for ATOM in the conference too. :)

our partners (2011-03-31 13:14) [EMBED] It is very nice to feel the work we are doing is appreciated. Congratulations to our partners in ATOM because they have been awarded for their last year work. Enjoy the moment! ivasil (2011-03-31 14:28:48) Thank you very much, it’s nice to get recognition for our work. Yo are right, ATOM is good prize material too, but...

Erik Atsma (2011-04-01 08:16:29) That is really funny! You have been doing the exact same thing as I did yesterday! I think I have the same screenprints. I have one of Natalie too, who joined us at the flashmeeting. We are very proud of our partners: Helen, Maria Teresa and Irina! caluad (2011-04-01 10:19:55) so, it means that the collaboration spirit is kicking and alive! I’m really happy. I also had a screenprint of Natalie but it was not a very good one. It was not clear enough! Let’s make of ”sharing” our meeting point! Congratulations to our partners and very especially to our students. Maria Teresa Asprella (2011-04-03 10:11:14) Thanks everybody for congratulations. I think best results are due to a good cooperation. So let’s go on with our work and let’s keep our fingers crossed!

2.4

April

Solution from Karviná (2011-04-03 06:32) [EMBED]

ivasil (2011-04-03 13:41:22) Nice job! caluad (2011-04-03 15:32:10) Great! you’ve got it. A very nice way of presenting the right results! Congratulations

Answer to Avila Task from Amsterdam (2011-04-03 06:51) Since the team from Karvina posted it’s solution, we can present our solution as well. [EMBED]

ivasil (2011-04-03 15:04:18) The unmistakable HLW mixture of fun and precision! :) caluad (2011-04-03 15:34:58) Right! ther’s a general shortage of markers everywhere!. I’m afraid we’ll have to sell our sandwiches to get markers instead of going on a trip. Very nice and funny! Erik Atsma (2011-04-04 02:33:03) Thanks for the compiments!

Spanish task answer from Bucharest (2011-04-03 14:49) [EMBED] caluad (2011-04-03 15:37:18) Right! Weâ&#x20AC;&#x2122;ll have to start looking for sponsors for our next task because families have already done enough. Thanks for the answwer Erik Atsma (2011-04-04 02:32:34) Haha, also problems with markers... You have tried all colours... Next week I get a smartboard in my classroom!!

Greetings from Budapest! (2011-04-03 14:56)

[1]

[2] 78

[3]

[4] support, they meant a lot!

Thank you for the nice words and the

1. http://2.bp.blogspot.com/--1ldUtjR-X4/TZjRvxSwuwI/AAAAAAAAFk4/I7Pdfbywq-I/s1600/Picture%2B182.jpg 2. http://3.bp.blogspot.com/-JxGWKvClwUQ/TZjRrdqzX1I/AAAAAAAAFkw/N8iNJi1oj6k/s1600/Picture%2B019.jpg 3. http://2.bp.blogspot.com/-H4Z9GouwX4A/TZjRe7z8hXI/AAAAAAAAFko/zD7LnvWD_L4/s1600/Picture%2B006.jpg 4. http://3.bp.blogspot.com/-cXhqUHoQ5PQ/TZjRTPyETBI/AAAAAAAAFkg/ESTiHDk0iJc/s1600/Picture%2B084.jpg

caluad (2011-04-03 15:39:41) it was really nice to see you all on the stage. thanks for sharing these views with us. Erik Atsma (2011-04-04 02:31:20) Nice to see the pictures from Budapest, nice to see it again (I was there this summer). You went straight back to work as we can see on the blog!

libelef (2011-04-04 03:03:12) Wonderful city and a very well-organised conference. We are tired but happy.

Thanks from Bucharest! (2011-04-06 09:24) We were very happy and proud to get the Fibonacci book today. Seeing all in print , our partners’ creations and our names there made our work and our collaboration very real. A big ”thank you” to all the partners for making this possible and one more to the Dutch team!

[1]

[2] with Smilebox

This free slideshow design personalized

1. http://smilebox.com/play/4d6a4d354d6a4d774e44493d0d0a&blogview=true&campaign=blog_playback_link 2. http://www.smilebox.com/?partner=hallmark&campaign=blog_snapshot

Erik Atsma (2011-04-06 11:58:11) It was our pleasure! I will thank the schoolboard on your behalve! So many happy faces!! Anonymous (2011-04-08 06:36:51) Thank you mrEric for sending us the book!It was a high experience because we learnt more about bread,it was impressive and so tasty... We are looking forward to hearing from you soon! Dora and Nick from Greece Anonymous (2011-04-12 04:36:03) Is a superb book with very nice photos! But browsing through it, it gave me quite an appetite. Lefteris Greece

Pi(e) Day Flashmeeting (2011-04-06 14:19)

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Customize your own photo slideshow Thank you very much for the photos. It was very nice meeting almost everybody there, but it will also be nice going through these moments again. 1. http://smilebox.com/play/4d6a4d354d6a59344f44493d0d0a&blogview=true&campaign=blog_playback_link 2. http://www.smilebox.com/?partner=google&campaign=blog_snapshot

ivasil (2011-04-06 15:00:21) A very nice video, getting us all together one more time. Thank you! Erik Atsma (2011-04-07 03:27:05) Wonderful!!! Thanks for the work you put into this!

Thanks from Ă vila (2011-04-07 15:07) Thank you very much from our principal, our group and the whole school. We had a visit from the principal to present your gift, to congratulate all the collaborators and to encourage us to go on working together. Itâ&#x20AC;&#x2122;s a really good work! congratulations [EMBED] [1]

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1. http://www.slide.com/pivot?cy=bb&at=un&id=3530822107907216816&map=1 2. http://www.slide.com/pivot?cy=bb&at=un&id=3530822107907216816&map=2 3. http://www.slide.com/pivot?cy=bb&at=un&id=3530822107907216816&map=F

Erik Atsma (2011-04-08 07:32:19) Youâ&#x20AC;&#x2122;re welcome! Nice slideshow! Iâ&#x20AC;&#x2122;m glad you liked it in Spain!

Our own (2011-04-12 06:42)

[1] Nothing better than our opinion and vote to grant our work an award. And in this way our Blog superemacy has been stated by ourselves in the survey.

[2] Feeling curiosity about something is the beginning of research. Maths is the main goal of our curiosity. Does it mean a great bunch of Mathematicians will be born from this project? 82

[3] Feeling proud of our work is a way to encourage ourselves and to thank people in the teams. But, never forget teams are groups of people in communication. 1. http://2.bp.blogspot.com/-HIXNQlW3d9A/TaQ_z3iYftI/AAAAAAAAETI/l6P_Qxp9dQs/s1600/blog%2Bsupremacy.jpg 2. http://1.bp.blogspot.com/-g3nWwh5Q80U/TaQ_zrWYrwI/AAAAAAAAETA/ja2u4Aesx-Y/s1600/curiosity.jpg 3. http://4.bp.blogspot.com/-H8V8GwSoY5Q/TaQ_zV1UowI/AAAAAAAAES4/FaF7i7a3nm0/s1600/changes.jpg

ivasil (2011-04-12 07:19:32) Thank you again for the valuable results and for helping us reflect on our work and seek ways of improving it, because ”The biggest room in the world is the room for improvement”. I am impressed that our students feel such a need of communication- we all should consider that. I’m learning a lot in this project and through these results. Thanks again. caluad (2011-04-12 09:17:10) This necessity was the very first thing that called for my attention. I agree with you, we should consider it. thanks for the compliments. Maria Teresa Asprella (2011-04-13 06:04:50) Thank you! Focusing on how the project is going on and is perceived by students is absolutely interesting. I agree with Irina: we are learning so much from this project. Thank you again! libelef (2011-04-13 08:32:15) Very enlightening, thank you, Val.! Erik Atsma (2011-04-13 12:30:10) Great work!

Happy Easter! (2011-04-14 13:12) IFRAME: [1]http://www.jigsawplanet.com/?rc=play &pid=2385fe9fcc61 &iframe=1 [Your web browser does not support frames or is currently configured not to display 83

frames. However, you may visit &amp;amp;amp;amp;lt;a href=”http://www.jigsawplanet.com/?rc=play &amp;amp;amp;amp;amp;amp;pid=2385fe9fcc61” target=” top” &amp;amp;amp;amp;gt;the related page &amp;amp;amp;amp;lt;/a &amp;amp;amp;amp;gt;.] You can also click [2]here to play the puzzle. We wish all our partners happy holidays and a wonderful Easter! The Bucharest team. 1. http://www.jigsawplanet.com/?rc=play&pid=2385fe9fcc61&iframe=1 2. http://www.jigsawplanet.com/?rc=play&pid=2385fe9fcc61

Thanks from Matera (2011-04-14 16:38) Thank you for the wonderful book! It was so exciting to turn over the pages with our poems! Working together at this project was really interesting! Thanks from our school! [EMBED] [1]

[2]

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1. http://www.slide.com/pivot?cy=bb&at=un&id=2017612633089993206&map=1 2. http://www.slide.com/pivot?cy=bb&at=un&id=2017612633089993206&map=2 3. http://www.slide.com/pivot?cy=bb&at=un&id=2017612633089993206&map=F

Happy Easter (2011-04-15 09:56)

[1] 1. http://www.fodey.com/generators/animated/talking_flower.asp

ivasil (2011-04-15 10:22:59) Thanks, Mrs. Daffodil!

Happy Easter from Greece! (2011-04-18 03:56)

[1] We wish you a most pleasant Easter with lots of new tastes! Look out for our parcels. The Pomegranate team. 1. http://3.bp.blogspot.com/-xTRsDfNrBnQ/Tav8NzjjZpI/AAAAAAAADK4/ymYsQIij_XA/s1600/DSC09846.JPG

Natalie Greece (2011-04-25 10:36:48) Happy Easter everyone!! :D

Happy Easter from Matera! (2011-04-19 11:34) [EMBED] [1]

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1. http://www.slide.com/pivot?cy=bb&at=un&id=1513209474824290948&map=1 2. http://www.slide.com/pivot?cy=bb&at=un&id=1513209474824290948&map=2 3. http://www.slide.com/pivot?cy=bb&at=un&id=1513209474824290948&map=F

Happy Easter from Amsterdam! (2011-04-20 06:48) Hi everyone, we want to wish you all a happy easter! Or as we say it in Dutch: [1] 1. http://1.bp.blogspot.com/-1i5uwghd6x0/Ta7IUPrQL6I/AAAAAAAAAd0/O72KAnJdbN4/s1600/Pasen.jpg

Guestbook (2011-04-21 10:01) [EMBED] [1]

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1. http://www.slide.com/pivot?cy=bb&at=un&id=2738188573481733842&map=5 2. http://www.slide.com/pivot?cy=bb&at=un&id=2738188573481733842&map=6 3. http://www.slide.com/pivot?cy=bb&at=un&id=2738188573481733842&map=H

caluad (2011-04-21 14:20:01) it’s a nice post. I like it. Is it easy to make? Thanks ivasil (2011-04-21 14:28:01) Easiest thing you can imagine!

A piece of pie in Amsterdam (2011-04-26 09:23) Here our answer to the collective task: [EMBED] libelef (2011-04-27 09:33:22) Well, we’d send you a piece, Erik, but the pie was burnt (too busy with Atom to keep an eye)! :D ivasil (2011-04-27 11:39:39) You were very precise again, I am ashamed to say we neglected the cost of water, salt, cinnamon (as this one was optional). You worked very hard,maybe that’s why you look so thin in the last image :).

(2011-04-27 12:57) [EMBED] ivasil (2011-04-27 13:55:26) Great work, thank you Elefsina! I see we all are Vuvox fans now! Just one question: was the ancient pie an apple pie? :) ivasil (2011-04-27 13:57:35) Will you please post this in the TS too? Thanks! Anonymous (2011-05-03 05:07:23) It isn’t really a pie, it’s an ancient tic tac toe played by the servants waiting for their masters to come back from the sacred rituals! Lefteris, Elefsina

A Piece of Pie in Bucharest (2011-04-27 13:42) [EMBED] [1]A Piece of Pie in... - [2]flash slideshow maker 86

1. http://www.kizoa.com/slideshow/d1677123k8877469o2/a-piece-of-pie-in 2. http://www.kizoa.com/

2.5

May

A Piece of Pie in KarvinĂĄ (2011-05-01 06:39) [EMBED] ivasil (2011-05-01 06:49:19) Thank you, Czech team! Nice work, nice pie! I hope the girls managed to have a taste of it, too!

how much? how many? quantity (2011-05-02 08:32) Students had an assigment to do about quantity, countable and uncountable nouns. They went to the flea market one Friday and took photos to present their works. Here you have the results: [1]Meat in the market. [2]Vegetables [3]Sweets [4]Shop [5]Sauce [6]Legumes [7]A day in the market 1. http://www.vuvox.com/collage/detail/03e04fd3bd 2. http://www.vuvox.com/collage/detail/03df848827 3. http://www.vuvox.com/collage/detail/03e0386fb3 4. http://www.vuvox.com/collage/detail/03e05d5325 5. http://www.vuvox.com/collage/detail/03df83bf3e 6. http://www.vuvox.com/collage/detail/03c013c6a0 7. http://es.scribd.com/doc/54392251/A-day-in-the-market-1

ivasil (2011-05-02 12:51:16) Thank you.Very nice work! Your students are very good with Vuvox, I hope they enjoyed it. caluad (2011-05-02 13:06:07) they did,they will be trying the tools in Letâ&#x20AC;&#x2122;s Talk on Wednesday, they will also finish the task about the Pie.

A piece of pie in Matera (2011-05-03 10:28) [EMBED]

ivasil (2011-05-03 11:08:33) Great solution, great presentation! Thanks, Matera team! Maria Teresa Asprella (2011-05-04 14:29:54) Thank you!

Geometry in town (2011-05-04 08:48) As we have already seen we are surrounded by geometry. Gathering these photos in a sunny evening walk was the beginning of our last task where symmetry, shapes, geometry will be explored. [EMBED] [1]geometry - [2]presentacion imagenes 1. http://www.kizoa.es/diapositivas/d1690171k8870448o2/geometry 2. http://www.kizoa.es/

ivasil (2011-05-04 10:05:36) Very nice work, thank you. ivasil (2011-05-09 01:38:31) Could you please post this in the TS as well? It is a very good example for the last task. Thank you.

Thank you Elefsina and Karvina! (2011-05-05 03:52) Hi students and teachers from Elefsina and Karvina, We would like to thank you for our presents. Here some photos of us receiving and using your presents! [1] Already in use! Photo taken by my 6-year old son... [2] [3] Thank you!!! 1. http://1.bp.blogspot.com/-v8dwnbQtUjo/TcJl28wd-wI/AAAAAAAAAeY/m27kMTvCB6w/s1600/Afb057.jpg 2. http://1.bp.blogspot.com/-G7hLTfTihgA/TcJl2reiEFI/AAAAAAAAAeI/f9lV_mRC7JU/s1600/Afb055.jpg 3. http://4.bp.blogspot.com/-EkAJq-iIzzI/TcJl24E4WEI/AAAAAAAAAeQ/6cOXIfEoro4/s1600/Afb056.jpg

Anonymous (2011-06-01 05:50:44) Thank you Ewa and the Karvina team for your nice Easter card. It just came to the library today and since in Greece we exchange Easter wishes for 40 days, it came on time!

ivasil (2011-06-03 16:10:19) Quite funny, because we got the card a few days before Easter. :)

Atom in Greek Student Festival 2011 (2011-05-05 21:28) [EMBED] It took us several hours of work to prepare an old table with wheels and paint it, so it would become the AToM exhibition table in the library. But when we were invited to show the project in the annual student festival in Elefsina, it proved really handy, with all the food and info about Maths and Cooking. Among other things, we made the Avila cookies again (thank you very much, Avila, and many thanks, once more, AToM mom for making them), the fractal salad, we offered a little port with walnuts, the prize for mathematical excellence in Trinity College, England, and added Eratosthenes’ sieve, a nice way to find the prime numbers. Click[1] here and see how many ”holes” the sieve will have! Of course there were a lot of other things to include, from all countries, but...the table wasn’t big enough, so visitors were prompted to visit the AToM blog. 1. http://www.hbmeyer.de/eratosiv.htm

Last task (2011-05-08 04:22)

[1] Maths is around us. It’s time to start the last task! You are all invited to look for Maths around us. Maths is in our houses, in towns, in Nature and in Art. Take your photos to show us where it is hidden and publish them in a nice format! 1. http://2.bp.blogspot.com/-qDvnaUygbjg/TcZhJs_7q6I/AAAAAAAAAKM/6jt12LQZ4w0/s1600/sunflower%2Bfibonacci.jpg

caluad (2011-05-08 13:55:04) Thank you Maria Teresa. Shall we give students any instruction about Maths concepts, geometry? Or just the photos. A nice photo.

ivasil (2011-05-09 01:31:17) Nice task! I suggest we choose a team topic: shapes, or patterns, or symmetry and work on it. We can give students some concepts on the topic or they can search for them. What do you think? maria teresa asprella (2011-05-12 09:21:02) Yes, we could choose a team topic, so students can concentrate better on the topic. Here are some: tessellations, geometrical figures, simmetries, fractals. What do you think? Maria Teresa Asprella (2011-05-12 09:22:23) Yes we could choose a team topic, so students can concentrate better on the topic. Here are some: tessellations, geometrical figures, simmetries, fractals. What do you think? Maria Teresa Asprella (2011-05-15 04:50:59) We could choose a team topic, so students can concentrate better on the topic. Here are some: tessellations, geometrical figures, simmetries, fractals. What do you think? ivasil (2011-05-15 04:52:27) Sure, we chose symmetry.

A piece of pie in Ă vila (2011-05-09 15:13) Although late, we have finally finished the task. Photos, research on prices, calculations already done. Here you have our results. No real pie for us this time. [EMBED] ivasil (2011-05-10 01:46:41) Sorry for the real pie, such a nice presentation deserved a big slice, as a prize! Thank you! caluad (2011-05-10 14:07:08) thank you, nxt time! Andra (2011-05-14 08:55:00) You had a lot of work , you needed a lot more ingredients and time.Can you tell me how you got all this work?

Geometry in town. Elefsina (2011-05-10 01:56) [EMBED] This is the result of a couple of walks around our school. There is more to come, but we are in exam period and must concentrate on that for the time being. This is a really fun task! Some photes are from the wonderful ebook about our townâ&#x20AC;&#x2122;s museum and archeological site. Browse through it [1]here! 1. http://www.latsis-foundation.org/megazine/publish/ebook.php?book=6&preloader=1

caluad (2011-05-21 09:53:01) a very interesting presentation! We have found patterns we also have here in Avila. Perhaps it would be a good idea to discover a pattern we all have in common. thanks

Natureâ&#x20AC;&#x2122;s puzzles (2011-05-14 12:39) Nature makes its own puzzles- see one of them [1]here! 1. http://www.grand-illusions.com/articles/puzzle_nut/

Maria Teresa Asprella (2011-05-15 07:51:06) Nature always surprises us! Wonderful! caluad (2011-05-15 09:40:17) perhaps everything we find out is already done in nature, even puzzles! Thank you for sharing.

Geometry in the park (2011-05-14 12:41) [EMBED] Maria Teresa Asprella (2011-05-15 07:52:04) Studying Geometry like this is fun! It is really astonishing to see how much Maths is around us!

Matera in Spain (2011-05-15 09:28)

[1] There is a weekly section in our newspaper EL PAĂ?S. The section is called El Viajero: the Traveller. There was an article about Matera this week explaining everybody about the geography and the town. I read it and I felt I knew the place. It can only mean that projects can make an influence on partners. To the Italian team and their beautiful town. 1. http://4.bp.blogspot.com/-7f-vBCO59sw/Tc_jRlzM8UI/AAAAAAAAEVg/73PDUyuEDVg/s1600/matera.jpg

ivasil (2011-05-15 09:44:26) Projects can bring people together. The rest is up to them. Here is a quote I love: â&#x20AC;?Coming together is a beginning. Staying together is progress. Working together is success.â&#x20AC;? H. Ford Maria Teresa Asprella (2011-05-16 14:28:29) Thanks to our partners from Spain! We hope all the project partners can meet in Matera one day! It would be wonderful!

Symmetry- 2 (2011-05-15 13:43) Our photos, and a few explanations too. [EMBED] [1]Symmetry - [2]free slideshow maker with music 1. http://www.kizoa.com/slideshow/d1711622k1270936o2/symmetry 2. http://www.kizoa.com/

Maria Teresa Asprella (2011-05-15 07:52:42) Great photos! Thank you! caluad (2011-05-15 09:02:38) a very good presentation andrei (2011-06-06 10:55:06) symmetry is very important, and these pictures highlight good symmetry

Speaking of patterns (2011-05-25 15:56) Speaking of patterns, [1]here is a great BBC series:The Story of Maths. Enjoy it! 1. http://youtu.be/JbuL7OGERKg

2 tto on a trip to Nemo (2011-05-31 08:36) [1]2tto on a Trip to Nemo IFRAME: [2]http://www.scribd.com/embeds/56715096/content?start page=1 &view mode=list &access key=key-1sz79y7ih1b4tuvnnepp

1. http://www.scribd.com/doc/56715096/2tto-on-a-Trip-to-Nemo 2. http://www.scribd.com/embeds/56715096/content?start_page=1&view_mode=list&access_key=key-1sz79y7ih1b4tuvnnepp

ivasil (2011-05-31 09:44:02) Seems like a really nice activity. I really envy you, guys, because I had no time for Nemo when I visited Amsterdam and I still regret it. Thanks for sharing and hanks, Bugra, for the flags!:) caluad (2011-06-01 07:00:12) a visit like it is something to remember. Congratulations for the trip.

2.6

June

June 1st (2011-06-01 01:58)

[1] Today is International Children’s Day. We celebrate this day in Romania, how about your countries? Happy June 1st to all our students, warm affectionate wishes and thanks for being part of our lives and making our work have an aim and a purpose! 1. http://2.bp.blogspot.com/-Ss0NwbuGZ9E/TeXjTFOacwI/AAAAAAAAFtE/LYCi9CXviDA/s1600/june.jpg

caluad (2011-06-01 13:08:43) How nice! We don’t celebrate it here but I think it is Children’s Day everyday. Enjoy the day!

in the meantime, a riddle (2011-06-02 08:47) [EMBED] 93

Students created this movie, then they added the sound. It was great fun and big collaborative effort. We hope you enjoy finding the solution. [EMBED]

ivasil (2011-06-02 14:08:28) Very nice, both the riddle and hearing the students’ voices! I won’t reveal the solution! :) Anonymous (2011-06-03 04:51:22) Because 789...! Very nice riddle...;) Dimitra,Elefsis ivasil (2011-06-03 17:43:41) I took the liberty of embedding the whole post in the TS, I hope Elefsina team won’t mind. It’s more complete than the answer by itself. Thank you. Nice work!

Ancient Egyptian Maths (2011-06-02 13:44) The first sources about ancient Egyptian mathematics date to what is called the Middle Kingdom. One of the biggest resources we have for mathematical writing is the [1]Rhind Papyrus, named after Alexander Rhind who purchased the papyrus in the 19th century and brought it to England. The papyrus is sometimes called the [2]Ahmes papyrus after the scribe who wrote it.[3]

In the opening paragraphs of the papyrus, Ahmes presents the papyrus as “inquiring into the knowledge of all things, mysteries and...all secrets”. The papyrus lists [4]many problems covering topics in algebra, geometry and other areas in mathematics, including a problem that gives a good approximation of PI. All the problems are related to practical matters and many of them are about fractions. Mihnea, our group’s Mathematician, will show you one of the problems for the Flashmeeting. And, to finish within the bread theme, it is related to bread! 94

[5] 1. http://en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus 2. http://en.wikipedia.org/wiki/Ahmes 3. http://4.bp.blogspot.com/-1g7eQxE7D3o/TefbbuRw5oI/AAAAAAAAFtU/J1ZTdSTQ5v8/s1600/Rhind_Mathematical_Papyrus. jpg 4. http://www.math.buffalo.edu/mad/Ancient-Africa/mad_ancient_egyptpapyrus.html 5. http://4.bp.blogspot.com/-gSaWVJCs1QU/TefcMtkEFJI/AAAAAAAAFtc/ZeLla_Btc2c/s1600/Picture%2B021.jpg

Un-Maths unusual recipe (2011-06-04 03:40) Un-thinkable ingredients, un-reasonable processes, un-expected temperatures, un-edible results are the characteristics of these un-Maths unusual recipes. [EMBED] [EMBED]

+ un-Maths unusual recipes (2011-06-04 03:54) If the previous ones were difficult to cook, please don’t try these ones either. [EMBED] [EMBED]

ivasil (2011-06-04 04:43:39) I was wondering what to cook today, but these did NOT help! :D It’s almost Sci-Fi, will this be the food of the next century? Poor little teddy-bear!

ATOM in images (2011-06-06 16:38) [EMBED] This video is a kind of report in images. ivasil (2011-06-07 00:34:44) Thank you, it’s a perfect trailer: clear and saying just enough to stimulate curiosity! I like it! caluad (2011-06-07 01:01:58) Thanks for the compliment. If curiosity can be perceived, it means the trailer will be useful1 See you Francesca (2011-06-09 03:03:25) We liked it a lot: it’s very original. Thank you for posting it! Letizia and Francesca from Italy :)

The first QL (2011-06-08 15:23)

[1] Amsterdam! Good luck to the other teams!

The first ATOM QL. Congratulations,

1. http://2.bp.blogspot.com/-oBOJnZ3OTVA/Te_afNGkpFI/AAAAAAAAFvU/TcVF1xHGP9s/s1600/QL-nl.png

caluad (2011-06-09 01:36:49) My most sincere congratulations to the Amsterdam team. I consider myself lucky of having worked with them! with you all! Francesca (2011-06-09 03:10:05) Congratulations to our friends of the Amsterdam team! We were happy to work with you! :D Matera team’s students

Anonymous (2011-06-09 10:21:40) congratulations amsterdam, it was an awesome experience!!! Nick from the pomegranate team

NUMBERS PLAYGROUND (2011-06-09 01:42)

IFRAME: [1]http://player.vimeo.com/video/24780686?title=0 &byline=0 &portrait=0

[2]Numbers Playground from [3]Valentina Cuadrado on [4]Vimeo. A nice way to say goodbye to our partners seemed to be showing them how our first contacts with Maths, numbers, was. This is why we decided to go out to the playground again. Childhood revised from the beginning when learning by imitation was the aim of the first game. Coordination at jumping, counting and skipping together, a collaborative game where everybody is necessary. The last song was just a popular rhyme to choose a player, our presenter for us. A combination of fun, maths, experiences and collaboration. As Marta says, now it’s your turn to play! Have a good summer!

1. http://player.vimeo.com/video/24780686?title=0&byline=0&portrait=0 2. http://vimeo.com/24780686 3. http://vimeo.com/user2529350 4. http://vimeo.com/

ivasil (2011-06-09 01:55:48) It’s very nice and I particularly like associating Maths with games because I think Math is a game in itself. My kids said in surprise: oh, right! We never thought there was Math in hopscotch! :) Thank you. Rocco (2011-06-09 03:14:32) Me too played this games with my friends. It’s a very nice video because it gives me a lot of emotions!!! :-)) Rocco from Italy

A â&#x20AC;?Thank you!â&#x20AC;? to our partners (2011-06-09 08:00)

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Make a digital slideshow 1. http://smilebox.com/play/4d6a55774e6a677a4f54673d0d0a&blogview=true&campaign=blog_playback_link 2. http://www.smilebox.com/?partner=hallmark&campaign=blog_snapshot

Francesca (2011-06-09 02:59:45) Thank you for this funny and nice video. We enjoyed it very much! Letizia and Francesca from Matera.

2 students of 2tto Amsterdam in the Team Maths Challenge (2011-06-09 15:54) [1] Team Mathematics Challenge 2011 Thursday the 9th of June was the day of the big finals of the Team Mathematics Challenge. Four students of het HLW took part, two of the first grade of our Bilingual Education (Aissam and Akram) and two of the second grade (Manal and Lamyae). [2] The competition was held at the Cals College in Nieuwegein and the best teams from the Netherlands were present. In four different rounds they had to solve all kind of mathematical problems, involving big problems, cross calculation puzzles, head-to-head competition and a relay. Especially the last one was very nice to see: all students running from their place to the teachers and back again to solve as many problems as possible. At the end of the day, all students received their certificates and prizes were handed out. It turned out that our team was at a well deserved 25th place of all the teams in the Netherlands! [3] 98

http://4.bp.blogspot.com/-KvAGq0PU9mg/TfEzuYnvzJI/AAAAAAAAAe0/32zjcNDrcSE/s1600/Team%2BMaths%2BChallenge%

2B%25281%2529.JPG 2.

http://3.bp.blogspot.com/-QugMiENGfyM/TfE0Q27odjI/AAAAAAAAAe8/GzrvWjdolTA/s1600/Team%2BMaths%2BChallenge%

2B%25283%2529.JPG 3.

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ivasil (2011-06-09 23:46:10) Congratulations for the contest, the good result and...the fun! Way to go, Manal and Lamyae! caluad (2011-06-10 03:25:44) Congratulations to your team and to the teachers. It’s always good to be among the best ones, especially f there is fun in!.

Parallel and perpendicular lines (2011-06-10 17:18) The students from Matera looked around them searching for everyday Maths. Some of them focused on parallel and perpendicular lines visible in nature or in man-made environments and have made a video with pictures taken while walking around town. It is so surprising to see how Maths is everywhere! IFRAME: [1]http://player.vimeo.com/video/24952946?title=0 &byline=0 &portrait=0 [2]Parallel and perpendicular lines from [3]Maria teresa Asprella on [4]Vimeo. 1. http://player.vimeo.com/video/24952946?title=0&byline=0&portrait=0 2. http://vimeo.com/24952946 3. http://vimeo.com/user7403267 4. http://vimeo.com/

ivasil (2011-06-11 04:27:42) Really beautiful, thank you! libelef (2011-06-11 08:13:46) Lovely! Bravi tuti! Mattia (2011-06-11 08:35:15) Thanks!!!!

”A mathematician’s diet” Elefsina’s farewell song (2011-06-11 07:57) IFRAME: [1]http://www.youtube.com/embed/HFPyJ-i 2 g Pythagoras, the 6th century B.C. Greek mathematician, scholar and so much more, was a vegetarian and thought that beans were kin to men, so they shouldn’t be eaten. More theories on bean abstinence [2]here 99

Look out for our film on Pythagora’s banquet in Food for thought! [3] Eratosthenes, the 3rd century B.C. Greek mathematician was able to culculate the earth’s circumference with great proximity. Of course he thought it was a sphere, but mankind forgot that for many centuries later. He starved himself to death, when he realized he was going blind. More Math and diet trivia: The Tyrian mathematician [4]Porphyry Malchus, Eratosthenes’ contemporary, was a vegetarian, since he was influenced by Pythagorian

theories about animals having a soul. [5] [6]Kurt Gödel, Eistein’s friend, and one of the most important people of the 20th century, who proved that one cannot attain absolute mathematical truth (incompleteness theorem), starved himself for fear of getting poisoned. Please remember: Millions of mathematicians were normal eaters!! 1. http://www.youtube.com/embed/HFPyJ-i_2_g 2. http://www.philosophicalmisadventures.com/?p=15 3. http://krygier.owu.edu/krygier_html/geog_353/geog_353_lo/geog_353_lo01_gr/earth.gif 4. http://phoenicia.org/porphyry.html 5. http://3.bp.blogspot.com/-o4-XdWUZans/TfNn7G_YHqI/AAAAAAAADZU/qtvVuOO1RB0/s1600/godel-einstein.jpg 6. http://being.publicradio.org/programs/2010/math-and-truth/particulars.shtml

(2011-06-11 08:23) Elefsinios Pomegranate is a young student who is driving a time machine back to ancient years, trying to have a closer look to the wisdom of ancient mathematicians - Sicely looks great from that height !And this is Croton, a nice place to live and cogitate about the mysteries of universe. I can see why Pythagoras found his math school here Ok. This must be the School. But where is HE ? My “Find - Everything Device” (FED) has just located him ! Oh, he is sitting in a symposium ! I wonder & what kind of nutrition supports such a mind. I will certainly adopt it! Let’s get a closer look. Who are all these people ? Thank god, sorry, thank all twelve gods, they can’t see, hear or feel me ! ( though, I’ m not sure about Pythagoras. Has he got a sixth sense ?) Who is that beautiful young woman sitting next to him? Oh, she must be Theano, his loving one. And that dark-skinned man ? FED has recognized him. He is Sourba, a famous babylonian mathematician. And next 100

to him ? This is Manoush, one of his Egyptian teachers! Pythagoras had spent 20 years of his life next to Egyptians sage priests where he aquired much of his great learning. And this is Vrontinos, the one who pays for the symposium, I suppose. I’ll get closer, so that I can hear their conversation. Vrontinos: For Zeus shake Pythagoras, why should you know the subject of our conversation in advance ? Did you have to consult your notes ? Pythagoras: My friend, if our subject was a serious and demanding one, then my stomach should be empty ! Otherwise, it would absorb the energy my brain needs to work. Moreover, it would be inappropriate to talk about specific subjects, hanger for example, over such a banquet ! Vrontinos : Well, my mind refuses to work when my stomach is empty ! But, regardless of our conversation, I’m sure you won’t be able to resist all these goodies I’ve ordered for you ! The finest meat and the freshest fish prepared by my slave chef He has costed me a fortune to buy him! P : I don’t want to insult you, my dear friend, but I certainly won’t have a bite of your gourmet eating ! V: I’ ll be insulted, unless you can give me a good explanation ! P: I will try to explain. I have purified my body and soul by following a strictly vegetarian diet deprived of toxins. Besides, this way I fight against my primeval instincts and I express my respect to other forms of life. Remember, when you eat an animal is like eating its soul as well ! And I’m glad to say that my followers have reluctantly adopt this nutrition. V. You mean, you can resist to a juicy piece of meat, even when you are all alone ! P: But I’m never alone. A very important person, a VIP, is always watching . V: You mean God ? P: I mean myself ! Theano: You can certainly exclude me from these vegeterians, since I am his love, not his follower. P: I have recommended Theano to have meat, because of her physical characteristics. I never suggest that this vegetarian diet is for everyone. So, I will allow my portion to her. Sourba : I can see your point, Pythagoras and I can see a bright and disciplined soul into your thin and well-trained body. But for us, the Babylonians, having food to eat is a bless from gods. So we have to show our respect to them by eating what they give us, vegetables, meat and fish. And you can’t say of course that this nutrition hasn’t support our mind, since we were the ones to have the first steps in mathematical thinking. P: You certainly are. You taught us how to satisfy our practical needs by practical geometry. Since, I’ ve heard that old Minoans had given their try. Manoush : And we took it further. We had to find a way to calculate the acreage of our fields after Nile’s flood and the volume of the cereals we produce. So , it’s about food again V: As you can see Pythagoras it’s all about food. So, going back to that, I think I can offer a special dish. You will certainly won’t refuse a special dish of beans. P: I’m afraid I’ll disappoint you. Beans are exactly the food Iwouldn’t even touch, I shouldn’t even refer the word! ! V: I ve never heard a strangest idea ! P: You see, my way of thinking is completely different. I strongly believe that dead people s soul actually live in beans. And that’s a thought Manoush could confirm. 101

V: Can I suggest a dish of onions, then ? Is everything all right with onions ? P: I think I ll have the best meal ever ! And to show you my gratefulness, I’ ll give you a special gift – this “greedy cup”! V: I can’t imagine anything “greedy” coming from you, Pythagoras ! P: Get a closer look! If you fill it up to this line it’s a common cup. But if you get greedy and fill pass the line, the penalty is to lose all wine through the hole at the bottom of the cup. V : I suppose you don’t imply anything! My wife will certainly appreciate your gift ! E. P. :They are really crazy, those ancients ! I’m so confused – and hungry ! And my time machine is getting hungry as I’m running out of time-fuel. Let’s start my journey back to now. What is that on my FED screen? I’m flying over Syracusae. It must be the 2nd century B.C. Who s that man holding his stomach ? And what is he trying to do? OK, the answer is coming. It’s Archimedes , one of the greatest mathematicians and engineers of all time ! And & he is playing ! He’s trying to assemble a puzzle he had made, called Stomachion ,and the solution is giving him a hard time – and a stomach pain ! I’m still in the same century flying over the famous city of Alexandria. I can see the Great Alexandrian Library. An old man is sitting at his desk and he is & crying. What could give him such a sorrow ? Oh, he is blind. I see what’s going on. It’s Eratosthenes , the librarian , who has decided to stop eating and die since his blindness made him incapable of studying. And what life worths without studying ? I think I’ve heard of another mathematician who starved to death, much closer to my time. This one refused to eat because of his constant fear that someone would poison his food – and he died of hunger ! I think I’ve reached my time and my home ! Ican see, mum in the kitchen, as usual. She is preparing dinner for my family. I can smell baked beans, fresh salad and a salad fruit for dessert. She never forgets the pyramid of Mediterranean diet . God, I’m starving to death. I hope I won’t eat anyone’s soul as I intent to satisfy my mum and my stomach by honoring her food. Afterwards, I’ll deal with some unsolved mathematical problems – those exercises my teacher assigned me. Should I ask some ancient help ? Let’s land ( Inspired by the novel ”Pythagoras, the Son of Scilence”, by Benigno Morilla )

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Good-bye Flashmeeting images (2011-06-11 08:54)

[1]

[2]

Personalize a [3]photo slideshow

1. http://smilebox.com/play/4d6a55784f4451354e44673d0d0a&blogview=true&campaign=blog_playback_link 2. http://www.smilebox.com/?partner=hallmark&campaign=blog_snapshot 3. http://www.smilebox.com/slideshows.html/?partner=hallmark

Maria Teresa Asprella (2011-06-11 13:39:50) Thank you Irina! What a very nice work!:D Erik Atsma (2011-06-14 08:29:15) Nice!!!! Shame that it was the last flashmeeting... Thanks for your work again ivasil (2011-06-14 11:48:09) Iâ&#x20AC;&#x2122;m glad you both like it! Nothing to thank me for, it was a real pleasure.

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ATOM radio broadcasting from Alonso de Madrigal (2011-06-16 16:35)

[1] For the students’ final evaluation we decided on a sort of [2]radio programme. 1. http://4.bp.blogspot.com/-mWcUicgknng/Tfp5Agv92WI/AAAAAAAAEWg/-X6b_jxuE9c/s1600/IMG_2949.jpg 2.

http://new-twinspace.etwinning.net/c/portal/layout?p_l_id=8311493&p_p_id=20&p_p_lifecycle=0&p_p_state=

maximized&p_p_mode=view&p_p_col_id=column-1&p_p_col_pos=2&p_p_col_count=3&_20_struts_action=%2Fdocument_ library%2Fview&_20_folderId=12066909

ivasil (2011-06-17 08:29:57) The radio idea is great, and the comments are very nice. We have just stopped classes today, but my kids visit the TS all the time, and I am sure they will like your ”broadcast” very much!Thanks

The perspective (2011-06-20 10:32) Students of Liceo ”Duni” go on searching Maths in every day life. Some of them have tried to catch examples of perspective with their cameras. All the pictures have been taken by the students during school or family trips! IFRAME: [1]http://www.youtube.com/embed/GP3immPhBZA?rel=0 1. http://www.youtube.com/embed/GP3immPhBZA?rel=0

ivasil (2011-06-20 14:36:43) Great work, as usual! Thank you, Matera team! caluad (2011-06-21 12:31:39) very good and interesting! libelef (2011-08-24 08:48:31) You really get around! We see you’ve also visited our country. Hope you had a good time!

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geometry around (2011-06-22 15:35) Wherever we go there is geometry. Almost everything is connected with angles, sides, volume, height, measures. Shapes around. We went out into our streets to look for them. We found them in our houses, in our history, in our art. Even nature provided us with examples. Alicia, Carmen, Clara and Victor took these photos for the Spanish team last task. [EMBED] ivasil (2011-06-23 00:37:47) Very nice work, big thanks to the four Spanish Geometry chasers!I hope that this project managed to change a little bit our students’ perspective.

Students’ Evaluation (2011-06-24 12:08) [EMBED] Rocco (2011-06-25 05:08:07) This is a very good work, because it give students the opportunity to express their opinions. Thanks ATOM and...........good summer to all!! Rocco from Italy

Numbers in our life (2011-06-26 09:19) [EMBED] ivasil (2011-06-26 10:37:31) Nice work, thank you Karvina team. It’s interesting that you were looking for numbers, while we were mostly chasing Geometry. You have added the missing piece of the puzzle! :) caluad (2011-06-26 16:05:32) that’s right! We are surrounded by numbers from the very beginning of our life! In fact, Spanish citizens as many others in the EU have a National Identity Card with a number. which we are, more or less, obliged to know by heart. congratulations for this work.

2.7

July

Maths is all around us in Amsterdam (2011-07-01 08:21) Here finally our final assignment... [EMBED] I totally forgot about this picture: [1] 105

1. http://3.bp.blogspot.com/-pDMta2hRH4g/ThGhbEoH7OI/AAAAAAAAAgU/t2Q4wSD5KaQ/s1600/Kalenders.JPG

ivasil (2011-07-01 10:19:53) Nice work, Amsterdam, and a quite different topic from the ones that the other teams had chosen. Thank you very much!

Pupils´ evaluation (2011-07-12 05:48) [EMBED]

ivasil (2011-07-12 15:30:19) Thank you, Eva. I have included your video in our Voice thread! Have a nice summer! Irina

2.8

September

One more quality label for AToM (2011-09-23 12:15)

[1] [2] Today, the Greek team was awarded with the etwinning quality label, as well as the brand new Pupil Quality Label, also awarded to all partners for their team’s work. We’d like to thank all our colleagues for this collaboration and wish the project all the best!

1. http://2.bp.blogspot.com/-tMjjFxh-C7Y/Tny99LxpMpI/AAAAAAAADlg/dq0FK7ZBOsg/s1600/atomlabel.jpg 2. http://4.bp.blogspot.com/-k6kJ9P5vqys/Tny-E0gxc-I/AAAAAAAADlk/kUJ2yhePbPA/s1600/atompupilabel.jpg

ivasil (2011-09-24 15:18:25) Congrats! 6 QLs is great! It was not a bad project after all, was it? :)

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2.9

October

European Quality Label (2011-10-10 14:06)

[1] We have been awarded with the European Quality Label. I’m grateful to you all because your hard work, collaboration and teaching have made this possible. I hope you all are lucky in your new projects. Take care. 1. http://3.bp.blogspot.com/-4iTVYEckz8Q/TpNCtqOrWnI/AAAAAAAAEZg/-w_BfTHRZVw/s1600/EQL.jpg

ivasil (2011-10-10 14:14:47) We have just got it, as well. Thank you very much and good luck with the Comenius! Erik Atsma (2011-10-11 08:28:49) In the Netherlands we also received the European Label! 6 national labels and a European one.... What a great team! Thanks to all the teachers, but more important: thanks to our students!!

2.10

December

Images (2011-12-23 12:17) [EMBED] [1]A Taste of Maths Slideshow: ATOM’s trip from [2]Bucharest, [3]Romania to 5 cities [4]Amsterdam, [5]Avila, [6]Matera, Elefsína (near [7]Elefsis, [8]Attica, [9]Greece) and Karviná (near [10]Jastrzebie-Zdroj, [11]Southern Poland, [12]Poland) was created by [13]TripAdvisor. See another [14]Italy slideshow. Create your own stunning [15]free slideshow from your travel photos. 1. http://tripwow.tripadvisor.com/tripwow/ta-03c5-fca2-3aa2 2. http://www.tripadvisor.com/Tourism-g294458-Bucharest-Vacations.html 3. http://www.tripadvisor.com/Tourism-g294457-Romania-Vacations.html 4. http://www.tripadvisor.com/Tourism-g188590-Amsterdam_Noord_Holland-Vacations.html 5. http://www.tripadvisor.com/Tourism-g311310-Avila_Castile_Leon-Vacations.html 6. http://www.tripadvisor.com/Tourism-g187772-Matera_Basilicata-Vacations.html

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7. http://www.tripadvisor.com/Tourism-g189401-Elefsina_Attica-Vacations.html 8. http://www.tripadvisor.com/Tourism-g189399-Attica-Vacations.html 9. http://www.tripadvisor.com/Tourism-g189398-Greece-Vacations.html 10. http://www.tripadvisor.com/Tourism-g274766-Jastrzebie_Zdroj_Southern_Poland-Vacations.html 11. http://www.tripadvisor.com/Tourism-g274753-Southern_Poland-Vacations.html 12. http://www.tripadvisor.com/Tourism-g274723-Poland-Vacations.html 13. http://www.tripadvisor.com/ 14. http://tripwow.tripadvisor.com/slideshow/italy.html 15. http://tripwow.tripadvisor.com/

Congratulations! (2011-12-23 13:36)

[1] our blog and I stumbled upon this piece of news. Congratulations to the Spanish team, you deserve every bit of it. Happy holidays!

I was keeping an eye on the visitors of

1. http://2.bp.blogspot.com/-7kWjTklOW_Q/TvTYqbSiQUI/AAAAAAAAJRw/PmZzq8bR8RQ/s1600/Untitled.jpg

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Chapter 3

2012 3.1

February

Finalists! (2012-02-08 04:34)

[1] I have just been announced that ATOM is a finalist in the European Prizes this year, in the 12-15 years old category. Congratulations and a bigâ&#x20AC;?Thank you!â&#x20AC;? to all the teachers and students! Looking forward to seing you soon! Irina 1. http://www.imagechef.com/

caluad (2012-02-09 16:40:22) Congratulations to everybody and special thanks to Irina. See you all soon Anonymous (2012-02-12 13:51:02) A year has passed and our students have grown up. Still, the excitment in all teams can be guessed. Well done ATOM students! The Elefsina teachers

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Anonymous (2012-02-15 04:34:45) Congratulations to all who were involved in this wonderful project! I’ll keep my fingers crossed to win the first place! I think the biggest prize is that all teachers will remain (all their efforts, their knowledge) in the hearts of children and that the seeds they put in their hearts will grow after years& Milena Vonica ivasil (2012-02-15 08:02:35) Thank you, Mrs. Vonica. It’s a pleasure working with such students. Thank you also for your support as a participant’s parent! Let’s hope! :) Irina Vasilescu

One more time... (2012-02-14 14:23) We are meeting online tomorrow, February 15th, for one more videoconference, to celebrate our project. Despite the snow and blizzard, I hope the Internet can bring us tomorrow one more time! The preparations are ready: riddles, songs, videos... Looking forward to it! ...to be continued...

and we met. (2012-02-15 08:06) ....and we met. Such as scheduled, we met at 10:00. Students were excited to meet their partners again. And, why not to mention it?, a bit sad because it could be the last meeting. On Tuesday we had an extra lesson to prepare the video with our rap. We know we are not good rappers, but we tried. Who knows, perhaps next time it will be better. Here it is what we rapped for YOU: IFRAME: [1]http://player.vimeo.com/video/36785934 [2]Atomrap IFRAME: [3]http://www.slideshare.net/slideshow/embed code/11551685 View more [4]presentations from [5]Valentina Cuadrado 1. http://player.vimeo.com/video/36785934 2. http://www.slideshare.net/vcuadrad/atomrap 3. http://www.slideshare.net/slideshow/embed_code/11551685 4. http://www.slideshare.net/ 5. http://www.slideshare.net/vcuadrad

ivasil (2012-02-15 10:50:13) Thanks for the rap, we really liked it! You should have seen my students clapping and humming! Let us hope the kids from all our teams can sing it together soon! :)

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3.2

March

Winners! (2012-03-03 15:10) [EMBED] [1] We are winners of the European Prize in the 12-15 years old category! See the announcement on the eTwinning portal [2]here. Congratulations and many thanks to all the participants! Looking forward to meeting you in Berlin! 1. http://www.imagechef.com/ 2. http://www.etwinning.net/en/pub/awards/european_prizes.htm

libelef (2012-03-06 13:36:35) Now starts the second, unexpected, though wished for, phase when our teams meet and work together in person. Let the creativity and recipes flow!

Finalists meeting photos (2012-03-10 13:03) It was a wonderful meeting, thank you all again! [EMBED]

The Pomegranate team is working together again (2012-03-12 11:35) [EMBED] Enthusiasm is back but with a taste of sadness as ATOM is close to its end Since we won’t be able to be in Berlin, we re sending some crafts representative of the work done through this year . And here is what we re talking about: • The ATOM fractal tree – a way of depicting our collaboration • Candies wrapped with our tweets • The ATOM cups • Eratosthenes’ sieve : an ancient way to find the prime numbers • Archimedes’ Stomachion : miniatures of a 2300 years old puzzle • Pythagoras’ figure • Shards with ancient geometrical patterns (called “ostraka” in Greek) • Sous-verres with Greek pi mnemonic rule 111

â&#x20AC;˘ Pastry coloured pi-s ( unfortunately not edible ) Kids looking forward to meeting you all in Antalya !

Presentation (2012-03-23 01:57) Here are some of our projectâ&#x20AC;&#x2122;s ingredients:

[1]ATOM on [2]Prezi 1. http://prezi.com/cp9wcr8_lyev/atom/ 2. http://prezi.com/

Survey Results (2012-03-26 15:15) [EMBED]

Watch the prize ceremony live! (2012-03-29 09:44) [EMBED]

3.3

April

Video for Berlin (2012-04-01 08:53) [EMBED]

how the video was shot (2012-04-01 09:19) [EMBED] ivasil (2012-04-01 15:06:43) You had such fun! Wonderful, thanks!

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In Berlin (2012-04-02 12:39)

[1] 1. http://2.bp.blogspot.com/-JQ11jMYaO_8/T3nkarPwYII/AAAAAAAAKAI/IqFsRk3l_no/s1600/DSCF3753.JPG

Anonymous (2012-04-03 08:43:30) Congratulations, congratulations and congratulations to all of you, teachers and students. You are the best! An admirer from Greece. Rocco (2012-04-03 12:25:00) Together ”climbing” the Europe...Thanks... Rocco

Best eTwinning project video (2012-04-09 02:29) IFRAME: [1]http://www.youtube.com/embed/s1KTH7p9fhk 1. http://www.youtube.com/embed/s1KTH7p9fhk

Fibonacci Poems made in Berlin (2012-04-13 06:20) Here is a short Mixbook with Fibonacci Poems made by eTwinning teachers in Berlin. They are not about food, but about eTwinning and the conference in Berlin. All poems were made within 5 minutes during our workshop. [EMBED] [1]

| Learn About Mixbook [2]Photo Books | Create your own [3]Photo Book

1. http://www.mixbook.com/ 2. http://www.mixbook.com/photo-books 3. http://www.mixbook.com/

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One more reward ! (2012-04-28 14:42) On the 26th of April the Pomegranate Team was awarded by the Minister of Education for the distinction of ATOM. Half of us, without Eleni and our kids, that were having the time of their lives in Antalya, tried to explain what ATOM meant to us : Here it is ! [EMBED] IFRAME: [1]http://www.youtube.com/embed/V8W9fiGjnO4 1. http://www.youtube.com/embed/V8W9fiGjnO4

Bucharest presentation for Antalya (2012-04-30 04:42)

[1]Postcards from Bucharest on [2]Prezi 1. http://prezi.com/tkjfcb7trjta/postcards-from-bucharest/ 2. http://prezi.com/

Celebrating Our Country- Antalya Camp (2012-04-30 04:50) [EMBED]

3.4

May

I hope you had the time of your life! (2012-05-02 15:57) [EMBED] Credits: Photos: The Romanian team Music: Green Day Tania (2012-05-03 04:32:36) Foarte frumos. Si foarte emotionant. ivasil (2012-05-03 09:38:55) Multumesc, Tania, l-am facut cu mare drag. Ana (2012-05-03 14:15:46) yes we realy had the times of our life! <3 va multumim mult pentru tot. a fost o experienta pe care nu o vom uita asa usor. ivasil (2012-05-03 14:25:35) You deserved it! :)

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alexandra (2012-05-03 14:48:56) Nice! Felicitari tuturor, mici si mari! ivasil (2012-05-03 14:54:57) Multumim pentru tot!

Back from Antalya (2012-05-09 14:06) [EMBED] [1]

[2]

Dear friends finally we are back home safe and sound and almost in time! I and my students really cherish the best memories from you and your students as also from the whole event which was an unforgettable experience for everyone . I definitely have to convey to Helen and Efi my best thoughts feelings and memories for all of you because you really really deserve it. We are sincerely open to a new collaboration in the future with all of you hoping to meet again very soon Lots of love Katerina PS : Unfortunately the videos I’ve taken are very dark I really don’t know why so perhaps I can send you a sample and decide if you really want to upload them otherwise we have to ask the presentations from Sylvia or eTwinning blog? 1. http://www.picturetrail.com/misc/counter.fcgi?link=%2FphotoFlick%2Fsamples%2Fpflicks%3Dshtml&cID=924 2. http://www.picturetrail.com/misc/counter.fcgi?link=%2FphotoFlick%2Fsamples%2Fpflicks%3Dshtml&cID=925

Celebrating our country- eTwinning Camp (2012-05-18 11:27) IFRAME: [1]http://www.youtube.com/embed/NMIkGddDt0Q 1. http://www.youtube.com/embed/NMIkGddDt0Q

ivasil (2012-05-18 11:34:11) Simply great! Congratulations!

The Greek team’s Antalya song (2012-05-23 14:28) [EMBED]

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3.5

July

Officially on holidays (2012-07-06 09:10)

[1]

[2]

[3] 1. http://3.bp.blogspot.com/-zMqLtgxNVLE/T_bxlfKz-QI/AAAAAAAAMAI/GSFzNyOQkvc/s1600/139.JPG 2. http://3.bp.blogspot.com/-CzHN_mnRLCo/T_bxlwp8j0I/AAAAAAAAMAM/qqMc193z_50/s1600/160.JPG 3. http://1.bp.blogspot.com/-fPPZ11Lm1z0/T_bxmiYhf6I/AAAAAAAAMAU/EAwKGRbxAiU/s1600/DSC_0037.jpg

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3.6

November

Timeline (2012-11-10 15:04)

[1] A timeline seemed a good idea to present our project, as a whole, and let us reflect on its trajectory. New events will be added, as they take place, but for now...here it is. IFRAME: [2]http://www.dipity.com/ivasil/ATOM &bgimg=/images/white grad up.png #tl

3/?mode=embed &z=0 &bgcolor= %23ec9709

[3]ATOM on [4]Dipity. 1. http://2.bp.blogspot.com/-c-3EOzYhMII/TuxGnNLfTtI/AAAAAAAAJQk/1h3B5tPZ6sQ/s1600/2011-06-06_1159.png 2. http://www.dipity.com/ivasil/ATOM_3/?mode=embed&z=0&bgcolor=%23ec9709&bgimg=/images/white_grad_up.png#tl 3. http://www.dipity.com/ivasil/ATOM_3/ 4. http://www.dipity.com/

caluad (2011-06-05 15:40:13) Thank you very much for this wonderful idea. I know it requires a lot of work but the results are good. You’re right, it shows the amount of effort and collaboration, participants have already done. congratulations! ivasil (2011-06-05 15:53:02) I’m glad you like it. It did take a lot of work, because I had to add each event manually- I could not do it directly from the blog, I don’t know why. I’d like to post this in the evaluation page, I think it fits there. I hope it’s OK with you. caluad (2011-06-06 06:55:42) Yes, of course I agree on adding it to the evaluation page. Thanks for the work andrei (2011-06-06 10:57:17) This project went very quickly so I hope to repeat next year ivasil (2011-06-06 11:06:51) ”Very quickly” or ”very well”, Andrei? :) Both, in my opinion. I’m glad you would like to do another project next year, we’ll see if it can be done.

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Maria Teresa Asprella (2011-06-06 15:28:55) I remained much admired of your wonderful work. Congratulations: you work so hard and well. I know itâ&#x20AC;&#x2122;s not simple to make such a work of high quality. Itâ&#x20AC;&#x2122;s always a gratifying experience to work with you! ivasil (2011-06-06 15:32:06) Thank you for the compliments! I am very happy to work with you too!

3.7

December

(2012-12-11 14:52)

[1] 1.

https://lh6.googleusercontent.com/-cY-x9O6q2-g/TW_84aRZLjI/AAAAAAAAC28/INLsiQbSggc/s1600/atomdescription.

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ivasil (2011-04-03 13:46:09) This comment has been removed by the author.

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Chapter 4

2013 4.1

January

(2013-01-26 08:40)

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BlogBook v0.4, EX 2Îľ & GNU/Linux. http://www.blogbooker.com LAT

Edited: May 6, 2013