„Maths around us” “Maths in nature” and its results
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Introduction............................................................................................................................................. 3 Project aims ............................................................................................................................................. 3 The fourth stage “Maths in nature” ........................................................................................................ 4 Activity 1 Task presenting fauna and flora of project countries ............................................................. 5 Activity 2 "Giant and dwarf" game .......................................................................................................... 6 Activity 3 Lesson in nature ...................................................................................................................... 9 Activity 4 My place of living................................................................................................................... 10 Activity 5 Maths tasks connected with nature ...................................................................................... 13 Evaluation .............................................................................................................................................. 20 Summary ............................................................................................................................................... 21
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Introduction The key linking all five partners of our project „Maths around us” was Mathematics. Our main aim was to improve Maths skills of students by perceiving Maths issues in their closest surrounding world. Students were encouraged to do their best to solve Maths tasks and to find similarities and differences between the environments of five participated schools by using a wide range of different ICT applications with English language as language of communication between partners. The project was divided into five parts:
“Maths in kitchen” with Italian school responsible “Maths in vehicles” with Bulgarian school responsible “Maths in buildings” with Turkish school responsible “Maths in nature” with Polish school responsible “Maths in games” with Spanish school responsible
Project aims The project priority was to develop maths, ICT, English and social skills by solving a wide range of tasks. Students awareness of maths existing everywhere increased and all time maths accompanies humans’ life. Teachers tried to design such tasks where finding solution or understanding the topic needed to use ICT applications free and available on the Internet and needed to work in group or pair work. Working on tasks needed to use English language.
All games, presentations, interviews, maths tasks, lessons students prepared in English. During motilities they also communicated and solved all tasks using this language. Before and after the project they solved English diagnostic test. Most of them achieved A2 level as it was expected. One of the project purpose was to develop ICT skills which are very important in contemporary world. Students were familiarized with a wide range of applications. They are free and can be easily found on the Internet. The list of apps used in the project: tagxego, smilebox, match memory game, hotpotatoes, issue, tools educator, you tube, comiclife, iMovie, moviemaker, doc.google, shapecollag, quizlet, dropbox, same quizy, symbaloo, proprofs, answergarden, socrative, kahoot, monkeyjam, blog, google maps, easly.ly, fodey, pikochart, webpage, edycaplay, blubbr, prezi, tondoo, padlet. Social and cooperation skills Doing project activities our students developed social skills. They mainly worked in pairs or in a groups enriching cooperation skills. During mobilities our students cooperated in international groups using English as language of mutual cooperation. All results of our mutual work were uploaded to eTwinning platform, our blog and our facebook
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The fourth stage “Maths in nature” In this part of the project students worked at fiive Maths toipcs: symmetry in nature, golden proportion in nature, regular pentagon, equiangular spirals, Fibonacci numbers. Students:
made presentations or films about nature in partner's countires, interesting animals or plants, unique places made by nature, using puzzles (for example internet puzzle), rebuses ect.
They created domino games to present in their countries. Domino is called "Giant and Dwarf" and full of such questions as: the highest mount in Poland? answer Rysy, the only sea in Poland? the Baltic Sea. Each pertner prepared domino about their country and its nature.
Conducting a lesson outside the school in nature. Lesson topic was connected with nature and maths.
Creating a game: "My place of living" concerning natura aspects of surroundings. It could be a card game, crossword, matching game but it was created it in the form other partners could print it or play it on the Internet.
Feedback - survey and conclusion.
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Activity 1 Task presenting fauna and flora of project countries Example 1 https://issuu.com/ewanenkin/docs/spanish.pptx_affe26abe136f4
Example 2 https://youtu.be/LUQCGAK8ZUY
Example 3 https://youtu.be/VdOyJCk-P9k Example 4 https://issuu.com/ewanenkin/docs/bad479e5.pptx https://issuu.com/ewanenkin/docs/2.pptx Example 5
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http://play.smilebox.com/SpreadMoreHappy/4e4455304d6a45344e6a56384d544178 4e444d324d7a55330d0a
Activity 2 "Giant and dwarf" game Example 1 Memory game about Turkish Geography https://matchthememory.com/turkishgeo Memory game about Turkish Flora https://matchthememory.com/Turkishflora Beautiful flowers included in Turkish flora https://matchthememory.com/Turkishflower Memory game about Turkish Fauna https://matchthememory.com/Turkishfauna
Example 2
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https://issuu.com/ewanenkin/docs/sp.pptx
Example 3 https://youtu.be/orz6Zmf5BqM https://youtu.be/7DJJEjBAmWA
Example 4 https://matchthememory.com/mountains https://matchthememory.com/buigaria https://matchthememory.com/bulgariensong https://matchthememory.com/sofiabulgaria
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Example 5 Memory Game about Polish snakes: https://matchthememory.com/Snakes five the most popular Polish trees: https://matchthememory.com/Polishtrees Polish geography: Giants and dwarves game part 1 https://matchthememory.com/Polishgeography Polish fauna and flora: giants and dwarves part 2 https://matchthememory.com/dzialek and the rarest and endangered animals in Poland https://matchthememory.com/gim8
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and movie about Hydropolis: http://play.smilebox.com/SpreadMoreHappy/4e4455304f5459784d5468384d5441304f4451354d544 9330d0a
Activity 3 Lesson in nature Example 1 https://youtu.be/Sd2cWqiPSOI
Example 2
https://issuu.com/ewanenkin/docs/italy
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Example 3 https://youtu.be/9V6PmIVb4Vg
Example 4 https://www.youtube.com/watch?v=6tYWsHrxwXc&feature=youtu.be
Activity 4 My place of living Example 1 crossword about Villafranca, Spain https://www.educima.com/crosswordgenerator/spa/crossword.php
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Example 2 Turkish game
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Example 3 Bulgarian task https://issuu.com/ewanenkin/docs/bul.docx
Example 4 Italian crossword: https://issuu.com/ewanenkin/docs/b7fb1be4
Example 5 My place of living nature in Ziębice crossword: http://crossbk.cba.pl/ and matching games: http://mathsinnature.cba.pl
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Activity 5 Maths tasks connected with nature Example 1 Symmetry in nature https://youtu.be/hWq0wKiv1Ao http://play.smilebox.com/SpreadMoreHappy/4e4455304f5451344e7a68384d544130 4f4451334d6a51300d0a https://youtu.be/hkpq34RGUl4 https://issuu.com/ewanenkin/docs/symetria collages:
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Example 2 Golden proportion in nature https://issuu.com/ewanenkin/docs/golden_1.pptx Example 3 Regular pentagon REGULAR PENTAGON
Pentagon is a polygon which is quite frequently used in mathematics and other areas. The word, "pentagon" is made up of two words - penta and gonia which means 5
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angles. Thus, pentagon is a two-dimensional shape which has 5 angles as well as 5 sides. Pentagon’s shape is a closed plane and also bounded by straight sides.
Regular or Irregular When all angles are equal and all sides are equal it is regular, otherwise it is irregular:
Regular Pentagon
Irregular Pentagons
Is it a Pentagon? A pentagon has 5 straight sides. The shape must also be closed (all the lines connect up):
Pentagon (straight sides)
Not a Pentagon (has a curve)
Not a Pentagon (open, not closed)
Properties A regular pentagon has:
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Interior Angles of 108° Exterior Angles of 72° Area of approximately 1,7204774 × s2 (where s=side length)
Make a Regular Pentagon You can make a regular pentagon with a strip of paper! Start with a long strip of paper, make sure it is the same width all along (if you want the pentagon to be regular):
Make a "pretzel" knot with the paper.
Carefully tighten the knot while keeping the paper flat.
..... Trim off (or fold back) any excess.
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All sides are now of equal length, and all angles should be the same too.
Example 4 Fibonacci number https://issuu.com/ewanenkin/docs/fibon https://www.youtube.com/watch?v=6tYWsHrxwXc&feature=youtu.be
Evaluation https://issuu.com/ewanenkin/docs/analisys_of_survey__maths_in_nature_d8cde36da0db7b
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Summary We created tasks which showed the beauty and interesting fauna and flora of the project countries. We also added some maths topics which students could observe in nature. In all tasks we triedto use interesting and free IC application.
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