Polish mobility by Ewa Nenkin

„Maths around us” mobility to Poland and its results May 2017

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Introduction............................................................................................................................................. 3 Activities and expected results of Polish mobility ................................................................................... 3 Results these activities can be divided into two categories.................................................................... 3 Immaterial such as .............................................................................................................................. 3 Material results which can be counted, measured, read or touched ................................................. 5 Summary of two cooperation years ................................................................................................ 5 The most important date in Polish history ...................................................................................... 5 Mini guide book of Wrocław ........................................................................................................... 5 Script of city game “Maths in nature” ............................................................................................. 7 Photo exhibition “Symmetry in nature” ........................................................................................ 17 Maths tasks about Polish fauna and flora ..................................................................................... 18 Movie presenting mobility in Poland ............................................................................................ 18 Evaluation about mobility in Poland ............................................................................................. 18 Summary ............................................................................................................................................... 18

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Introduction Mobility in Poland happened in May 2017 and it was included in the fourth stage called “Maths in nature”. During the stay in Ziębice (Poland) students became aware how much maths can be found around them in the neighbourhood in nature. They were familiar with Polish history, took part in international integrative activities, city game, had to solve maths tasks, found out some info about Polish nature: fauna and flora.

Activities and expected results of Polish mobility    

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Teachers and students from project countries presented their schools, described their place of living, students were familiar with Polish school, Polish educational system, Polish school schedule the most important dates in Polish history, all participants found out the most important information about Ziębice, monuments, they visited regional museum, and went sightseeing to meet the town. Teachers and students participated in city game “Maths in nature”. They had to use maps, solved puzzles, crosswords, maths tasks all in plenary of Ziębice. They had to cooperate in international groups. Students experienced international cooperation, gained social skills and learned about Polish fauna and flora, enriched English and Maths skills. Guests visited Wrocław full of Polish Jewish, Czech and German history, which is called “the meeting place”. They visited the city with earlier prepared “guide book” looking for places mentioned in it. In international groups students took part in city competition looking for the dwarfs on the main square in Wrocław. Participants visited Botanic Garden in Wojsławice where they were divided into international groups and their task was to find symmetry in nature, took pictures. After collecting the best pictures we organise a photo exhibition at school. Guests could see the exhibition called “Symmetry in nature” which consisted of their photos taken in Botanic Garden in Wojsławice. They took park in activities organized by High school in Ziębice: could have a ride by solar vehicle which was built by students of this school and found out how it works, took part in hairdresser workshop and met Knight Brotherhood of Ziębice full of GP students.

Results these activities can be divided into two categories Immaterial such as 1) Students gained knowledge about Polish history, our town Ziębice, our school, Dolny Śląsk region, fauna and flora in Poland that could be seen, touched and even tasted. 2) Being guests in Polish host families they had “a meeting” with Polish mentality, way of living and could observe a week of average Polish family.

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3) Participants took part in lessons in Polish GP school, they visited high school in Ziębice where could ride a solar vehicle built in this school, took part in hairdresser workshop, observed and participated in activities prepared by Knights Association of Ziębice –they were familiar with medieval weapons, ways of fighting and could dance medieval dances. 4) They improved social and cooperative skills as students worked in mixed international groups during visiting of Wrocław, took part in competition city game “Maths in nature” in Ziębice or collected photos about symmetry in nature in Botanic Garden in Wojsławice. They had to communicate, agree for common solutions, find the way how to negotiate, be tolerant for other students’ opinions or find arguments to support their own mind if it was necessary. 5) All activities, written or spoken communication was in English, students spent all week with their Polish host families where they also used English as the language of communication so as results participants had to improve their speaking skills in using foreign language.

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Material results which can be counted, measured, read or touched Summary of two cooperation years https://www.youtube.com/watch?v=bDO-reKzh7s&feature=youtu.be The most important date in Polish history https://issuu.com/ewanenkin/docs/the_most_important_dates_in_polish_ https://www.youtube.com/watch?v=2DrXgj1NwN8 Mini guide book of Wrocław Wrocław trip 9th May Important dates in Wrocław history: 1000 – Wrocław was mentioned for the first time in historical source. 1241 – the Mongol invasion and location on German law – the beginning of the market square. 1335 – death of the last Polish Piast duke – Henry IV, Wrocław became the Czech town. 1526 – after the battle of Mochacz Wrocław became the part of the Habsburg monarchy and was Austrian city called Breslau. 1741 – the beginning of the First Silesian War between Austria (Habsburg dynasty) and Prussia – Wrocław was incorporated into Prussian Kingdom then from 1933 to 1945 to Nazi Germany. 1945 - The Battle of Breslau, Adolf Hitler declared the city of Breslau to be a fortress (Festung), ordering that it must be defended at all costs. By the end of the Siege of Breslau, 50% of the old town, 90% of the western and southern and 10–30% of the northern and northeastern quarters of the city had been destroyed. After a siege of nearly three months, "Fortress Breslau" surrendered on 7 May 1945. It was one of the last major cities in Germany to fall. 1945 - According to Jałta Wrocław became a part of Poland again. Jatki In middle ages there were stalls with meat today Jatki is called the magic street in Wrocław with artists shops and bronze sculptures of animals. You can see the lids of middle ages “fridges” on the pavement. Market Square The square is rectangular with the dimensions 213 by 178 meters (699 ft × 584 ft). It is one of the largest markets in Europe, consists of four parts: the south called the gold ewer, the West – called the great scales, east – the green reed and north the sweetness. Almost all the buildings were damaged during II World War, all were rebuild. One of the most beautiful is the tenement house called Under the Golden Dog. It is a very good reconstruction from 18th century according to the old photos. In every part of

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the market people sold another goods, mainly cloth, wool, meat, fish, and crafts products: shoes, jewellery, clothes. The most impressive church near the market is Saint Elisabeth’s church. Originally there was a Romanesque church but in 1253 the duke Henry III gave the money for bigger a church. It belonged to the order with the red star. The monks of this order looked after the sick people. They organized the hospitals in Wrocław. In 1525 the church was taken over by protestants from Wrocław and it was the temple of protestants until 1945. In 1945 it became the church for Polish soldiers. There were three big fires, that damages the church the worst was in 1976 year when the whole roof and the beautiful equipment of the temple burnt. The church lost priceless organs made in 17th century by Engler. The reconstruction lasted over 20 years. Since 2003 it is the basilica minor. The tower has 90 meters and 402 steps. Only two of the buildings near the church remained they are called John and Margaret. Margaret is the older and higher “she” is holding the younger brother John. In the past there was a cemetery around the church and the main entrance was through this gate. On the gate there is a sentence that says the “Death is the gate to the life”.

You can see the monument of Polish nobleman Aleksander Fredro. Who was not only a nobleman but also the play writer. Originally it was in Lwów the capital of Ukraine. Before the second world war Lwów was Polish city, after 1945 it was joined to Ukraine according to the decision in Jałta between Stalin, Churchil and Roosvelt. Millions of Polish people had to move to the west here in Low Silesia and millions of German had to move west to German. And with Polish people the monument came and it is standing here since 1952. The feather Fredro is holding is missing from time to time that’s why there is a camera watching what is going on around. The coat of arms consists of five parts. In the center John the Baptism the saint patron of Wrocław. On the left you can see the white lion with the crown which symbolizes the times when Wrocław belonged to the Czech kingdom. On the right there is a black eagle on the gold background and symbolizes Polish kingdom, below you can see the head of John Evangelist on the crown. And finally the big black letter W on the gold background the list letter of the name Warcisław the Czech duke.

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The Town Hall – was built since 14th century in gothic style. Richly decorated, the motive of saint John’s head on the plate repeated many times because Saint John is the saint Patron of Wrocław. The patron the chapel in the town hall is Saint Dorothy who the patron of German. The other symbol of Wrocław is the lion of dynasty Luksemburg that was czech and German dynasty. This clock is from 1580 there are symbols of the Egyptian symbols of the season: autumn, winter, spring and summer. Main Market has been the most important Wrocław’s square for over 750 years. It was built in 13th century. According to some of the researches the rectangular form of the square is originated from Franconia and Saxony. The oldest German examples are: rectangular main market in Munch. The most probably date of location is March 1242 (just after the Tatar) invasion which took place in 1241. Świdnicka Cellar, was mentioned in 1303 and is probably the oldest restaurant in Europe. From 1519 the barrels were delivered through the tunnel because beer was made in the brewery behind the house number 22. Whipping post – pręgierz in Polish was made of sandstone, It was placed here in 1491. The original was damaged during the Russian air raid in 1945. This one was made according to the old photos taken before the second world war. Here the people who broke the law were tied and punished. Wrocław curiosities -

Is called the North Venice because of many bridges over Odra river (about 120), has the oldest in Poland tram line from 1893, is the European Capital of Culture 2016, has the Guinness Guitar Record in 2006 – 6346 guitarists played “Hey Joe” by Jimmy Hendrix at the same time. Every year in May they are trying to beat the record. has the oldest zoo in Poland from 1865, has the biggest number of dwarfs in the world.

Script of city game “Maths in nature” City game was created for all participants who came to Poland for mobility. It took 4 hours. During these hours students visited seven places in Ziębice and walked about 6 kilometres. At the beginning students participated in a draw and they were divided into 5 teams according to colours. Each team consisted of all countries representatives. Each team got instructions they had to visit 7 places in Ziębice. Each team had different route but visited the same places. At 6 stops Polish students waited for teams with different tasks.

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After completing task each team got instructions about the next stop. Polish students gave points for the task and by means of messenger or whatup they sent info about points to the meeting stop where the points were counted and summed. There were seven stops: a) Shell stop: there was Polish poem “Frog” students task was to found the name of the next stop by counting the letters in the poem. b) Fountain stop: students task was to solve the puzzle with the picture of Ziębice monuments and puzzle the Steinhause cube. c) Eagle stop: rebus and maths rebus. d) Paczkowska Gate stop: students had to read maps and solve Sudoku. e) Town Hall – complete the crossword about Polish fauna and flora. f) Railway Station – Maths tasks with pictures of Ziębice g) Shell –the end of the city game. YELLOW Find the hidden name of the second stop using the text written by famous Polish children’s poet about frog: The word you are looking for consists of 14 letters and two words: 5-9-75-Z-30-87-109-125-30-156 G-206-209-217 This is your next stop GOOD LUCK  The frog by Jan Brzechwa a) b) c) d) e) f) g) h) i) j) k) l) m) n)

There was a frog one day fell ill, So she went to the doctor to ask for a pill. The doctor was old, his eyes were weak, But he put on his glasses and had a peek. He examined her from toe to head, And this is what at least he said. You’re all in a sweat, Don’t get wet, Don’t take a bath, Don’t sit near a grain, Don’t swim in a stream, don’t go out in the rain, Don’t drink any water, Don’t wash every day,

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o) Don’t step in a puddle, p) Dear lady, I say q) 1 r) Just puff and blow and really try s) To keep yourself always dry. t) The frog went home from the doctor u) And said to herself by and by v) “I must do what the doctor says: w) If I have to be dry – I’ll be dry”. x) She did what the doctor said, y) she dried herself as she must, z) So dry she became that, in the end aa) She was only a handful of dust. bb) The doctor came and said “Oh dear”. cc) Being dry didn’t suit her at all “I fear”.

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https://issuu.com/ewanenkin/docs/city_game_maths_tasks

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Photo exhibition “Symmetry in nature”

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Maths tasks about Polish fauna and flora https://issuu.com/ewanenkin/docs/maths___nature_tasks_tit https://issuu.com/ewanenkin/docs/rapeseed https://issuu.com/ewanenkin/docs/maths___nature_tasks Movie presenting mobility in Poland https://www.youtube.com/watch?v=fHQJ4b4KdcY&feature=youtu.be

Evaluation about mobility in Poland https://issuu.com/ewanenkin/docs/students_evaluation

Summary Students took part in all activities together with Polish students from Polish host families. They solved maths tasks and as the most difficult they regarded the Steinhause cube and changing Roman into Arabic numerals. Activities which were the most involving and exciting for participants and can be recommended were city game “Maths in nature” and working on photo exhibition. Students worked together, used English as language of communication, had to solve tasks together, complete the crosswords, make puzzles. They had to select the best taken pictures and had fun.

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