The PLAYING WITH MATHS project
Playing with Maths is a project that makes it possible for schools in different countries to work together and share their teaching methods in order to teach
mathematics in a fun way. Thus, teachers in Croatia, France, Greece, Portugal and Turkey combine their efforts within an Erasmus Plus project in order to help their students make progress in mathematics and thus open doors for a brighter future.
Digital tools used in this project
September 2019 •
First actions between teacher within the project.
Erasmus Plus project: first steps We are 6 schools and 5 countries working together around the project PLAYING WITH MATHS. Here is the agenda for September: Preparation phase started immediately after the projectapproval notification 1. Administrative arrangements: -identification of available resources (material,human, financial, information ) for the project -All the financial arrangements were made according to the contract.; -Clear procedures for a good implementation of the project’s activities are stated. 2. Each organization has appointed the members of the project teams, with clear responsibilities and tasks. 3. Each project team must select the target group: Evaluation tests will be applied.Criteria for selection of the target group: the selection of students will be carried out through criteria oriented to inclusion and motivation.
October 2019 -Creating project web page (Croatia), Social media page (France coordinator), eTwinning page (France coordinator).
https://playingwithmaths.eu/
https://www.facebook.com/groups/759826751123936
https://live.etwinning.net/projects/project/189890
-A project corner will be made in every partner organisation in a visible place. And open to everybody.All the results and items related with the project will be shown there,
-Establishing contacts with other local organisations (e.g. Town Hall, Senior Universities, schools, NGOs)in order to present proposals for collaboration and dissemination.
-A presentation of the project and partner schools to be shown to parents ,teachers, the local communities, which will involve, again, a previous contact with the Town Hall and also with local media.
-The project logo contest involving the community.
November 2019
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First Kick off meeting in Aydın Turkey in November 2019 , after the preparation period . The aim of this meeting is to get to know each other face to face, learn about the partner organizations; presentations of schools are available on the etwinning project platform.
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Presentations of schools are available on the etwinning project platform.
December 2019
Teachers who participated the meeting share their experience with their collegues in their schools.
Developement tests were prepared by Greece (11 and 12 years old) and by France 2 (13 and 15 years old) tomeasure children's general level of maths and their interest levels
-Each project partner will organize a meeting with all parent and students involved in order to explain and answer all questions that will rise through the implementation of the project and the mobility.
-Safety and security of all project partners is of a great importance for all partners.
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Teachers will prepare forms to receive written approval from the parents of the students who will attend the mobility. Make sure students possess a European Health Insurance Card..
January 2020
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1. Maths evaluations for 11, 12, 13 and 14 years old students to be held during the 2nd week of June.
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2. Each project partner will organize a meeting with all parent and students involved in order to explain and answer all questions that will rise through the implementation of the project and the mobility.Safe and security of all project partners is of a great importance for all partners. We will receive written approval from the parents of the students that will attend the mobility. They will be responsible to possess a European Health Insurance Card..
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3. Greece will prepare an Info Pack for the next mobility in Xanthi
February 2020 •
This month, schools must have done their Erasmus Plus corners in their schools. The information to be added should include the countries, flags, population, cities etc. It should also include a map of Europe and anything related to famous mathematicians.
Famous mathematicians
March 2020 - online meetings •
Schools will organise meetings between students: They will use twinspace and/or Skype to organise skype conference. They will organise online mathematical games.
April 2020 - Preparing C1
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Because of the lockdown, schools are closed
Greek week •
Preparing Greek week All partner schools will prepare activities related to Greek culture, food, dances,etc.
Maths games •
NATURE 3 games will be created for each topic by each partner school ,and will be implemented during C1.
Preparing EBOOK •
Preperation of the template for ''PLAYING WITH MATHEMATICS eBOOK ( will include : aim of the activity - type of the activity - new words &notions (prepared by Portuguese partners).
May 2020 - C1
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C1 in Xanthi Greece
This mobility is postponed, due to the sanitary situation in Europe and the world.
After the summer holiday we will plan a different mobility programme beginning January 2021, with the hope that there will be improvements in that exceptionnal situation.
June 2020 - C1 Feedback
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Because of the lockdown, schools are closed.
September 2020 - New programme •
The coordinator school has applied for an extension and we now have until February 28, 2022. A new programme has been drafted and accepted by the French NA
October 2020 •
FranceDEMANDE PROLONGATION ERASMUS.docx Preparing virtual mobilities in each partner country.
November 2020 Students introduce themselves using Voki Write and Speak about yourselves using an Avatar and Voki
PLAYING WITH MATHS LESSON PLAN
COUNTRY: FRANCE TARGET GROUP: Students from all involved countries. 14 and 15 years old. DURATION: Each lesson should last 50´. OVERVIEW: Thales theorem and Trigonometry related to the theme of NATURE. The activities will be done outside (playground, park etc.) AIM: Apply the Thales theorem and trigonometry to measure the height of a tree. MATERIALS: - A tool made by the teacher to measure angles. - A tool made out of a large compass, a set square and a ruler. - A spirit level. - 2 tape measure (20 meters). - Paper and pens for students to take notes or calculate. - Calculators. - A 1 meter ruler. OBJECTIVES: Students will be able to: - Learn the importance of Mathematics. - Learn how represent a concrete situation on a plan, drawing. - Use theorems on concrete cases. DESCRIPTION: -
Begin by presenting instruments and the tasks for each group (plan 4 groups of 5 or 6 students). Students learn by themselves how to use the instruments by manipulating them. Students made several measurements and take note of the results on their papers and on the figures. Calculations: students must find the height of the trees.
CONCLUSION: Students will learn mathematics by using, manipulating tools to measure things in a natural environment.
PLAYING WITH MATHS LESSON PLAN COUNTRY: FRANCE
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TARGET GROUP: Students from all involved countries. 13-14 years old.
DURATION: Each lesson should last 50´. OVERVIEW: work on the hexagon, definition and construction with scratch AIM: 1. Recognition of hexagon 2. Draw a hexagon on a sheet 3. Program the plot of a hexagon with scratch 4. Program the trace of a honeycomb cell
MATERIALS: -
Honeycomb alveolus Computer
OBJECTIVES: Students will be able to: -
Learn the importance of Mathematics Work on the sides and angles of a regular polygon and draw them Learn to chain constructions with computers
DESCRIPTION: -
We observe a real honeycomb with adequate explanations We observe and we appreciate the precision of bees for their geometric construction We fuss over the definition and construction of a hexagon, with work on the angles we program this construction We program a honeycomb construction by creating one or more loops in the program We observe a real hive
CONCLUSION: Students realize that regular geometric shapes exist in nature and learn to reproduce them
PLAYING WITH MATHS LESSON PLAN
COUNTRY: GREECE TARGET GROUP: Students from all involved countries. 8 - 12 years old. DURATION: Each lesson should last 45´. OVERVIEW: Make geometric shapes - Connection with the nature AIM: 5. Recognition of geometric shapes 6. Matching geometric shapes 7. Looking for geometric shapes in nature MATERIALS: 1.Colored sticks construction 2. 20 Pictures with shapes in nature OBJECTIVES: Students will be able to: -
Learn the importance of Mathematics and geometry.
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Learn about geometric shapes in nature.
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Learn how represent a concrete situation on a plan.
DESCRIPTION: 1. We explain the kinds of the shapes, the number of the sides and the corners. 2. The number and the name of the geometric sides is written on the colored sticks. 3. Students choose a colour to create one shape with the sticks. 4. They match shapes in nature with each geometric shape. 5. There are two or three different geometric shapes in some pictures and the students look for them. 6. By combining the different shapes they can form a house, a car, etc..
CONCLUSION: Students will learn that maths and geometry there are in the nature.
PLAYING WITH MATHS LESSON PLAN COUNTRY: PORTUGAL TARGET GROUP: Students from all involved countries. 12 and 13 years old. DURATION: Each lesson should last 45´. OVERVIEW: Fibonacci sequences related to the theme of NATURE. The activities will be done outside (playground, park etc.) AIM: Apply the Thales theorem and trigonometry to measure the height of a tree. http://www.educ.fc.ul.pt/icm/icm99/icm41/natureza.htm
MATERIALS: -
Paper and pens for students to take notes or calculate. Calculators. A 1 meter ruler.
OBJECTIVES: Students will be able to: -
Learn the importance of Mathematics. Learn how represent a concrete situation on a plan, drawing. Use Fibonacci sequences on concrete cases.
DESCRIPTION: -
Begin by presenting instruments and the tasks for each group (plan 4 groups of 5 or 6 students). Students learn by themselves how to use the instruments by manipulating them. Students made several measurements and take note of the results on their papers and on the figures. Calculations: students must find the height of the trees.
CONCLUSION: Students will learn mathematics by using, manipulating tools to measure things in a natural environment.
Task 1 - Branches that grow like crazy! The branches of the plants grow in many different ways. One of the ways follows the following rule: 1. The plant branches in two parts; 2. At the next opportunity to branch, only one branch does. The other rests from the branch, but still grows; 3. The resting part is ready to branch into two parts at the next opportunity; 4. This pattern is repeated indefinitely.
The opportunity to branch occurs at regular intervals of 1 week.
a) Draw the branches of the plant and mark the number of branches that exist each week. b) When can we expect to get more than 1000 branches?
Challenge: Now you find a branch of tree or shrub in nature that confirms this theory.
Tarefa 1 - Ramos que crescem como malucos! Os ramos das plantas crescem de várias maneiras diferentes. Uma das formas segue a seguinte regra: 1. A planta ramifica-se em duas partes; 2. Na próxima oportunidade de ramificar, apenas um dos ramos o faz. O outro descansa da ramificação, mas ainda cresce; 3. A parte que descansa está pronta para ramificar em duas partes na próxima oportunidade; 4. Este padrão repete-se indefinidamente. A oportunidade de ramificar ocorre em intervalos regulares de 1 semana.
a) Desenha os ramos da planta e marca o número de ramos que existem em cada semana. b) Quando podemos esperar conseguir mais de 1000 ramos? Desafio: Agora encontra na natureza um ramo de árvore ou arbusto que confirme esta teoria.