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eTwinning is a European community of teachers involved in electronic twinning created to promote school collaboration in Europe, encourage teaching innovation, the use of technologies in education and the creation of educational projects between classes of different countries.

Math Fusion

Mathematics has an important place in every area of our life, but most people are not aware of it. In our project,we want to make our students aware of the importance of mathematics in our lives and understand that mathematics is not just about solving questions from books, it is part of our life. For this purpose, we will reveal that there are aspects of mathematics can be enjoyed by students.

Develop 21st century skills.

Promote critical thinking and communication skills through group work and collaboration.

Use of information technology in mathematics.

Realize that mathematics is with us in every moment of our lives.

Explore its fun side.

Improve the mathematical literacy of our students.

Objectives:

Pedagogical innovation and creativity

The project activities are based on innovative pedagogical methods, in fact it promotes activities that put the students at the centre, encouraging them to be creative, autonomous and responsible.

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Collaboration between partner schools

google sheet

Whiteboard di Canva

Learning Outcomes:

1.🔢 Mathematical Skills

2.🤔 Critical Thinking Skills

3.💻 Technology Skills

Living with data understanding with math

Golden number in architecture

Math in nature

cryptology

Math and music

Origami e Krigami.

planned activities

Artistic Tilings

Activity

This activity offers step-by-step guides for making artistic tile patterns. After understanding how these designs work, you'll be encouraged to create unique patterns. Participants: No prior math knowledge is needed, but you may come across some math concepts as you progress through the activities. These could include shapes like polygons, triangles, quadrilaterals, and hexagons, as well as ideas like parallel sides, translation, rotation, and line symmetry.

Preparations: Paper, pencil, eraser, color pencils or scissors, and color paper. If the pupil have access to tablets or computers and the Internet, they can create patterns on some software (for instance, https://www.geogebra.org/classic https://tiled.art, which is free).

'Tilings using only translations.

Note that the tiles have pairs of parallel and equal sides. In these tilings, the corners of the tiles are aligned and connected to each other. In all the activities below, we will focus on tilings where the corners of the tiles are always glued together. The squares can be transformed into irregular shapes with the same number of sides and still cover the plane in a repeating pattern, as long as the parallel sides stay parallel and equal in length. The resulting shape is called a parallelogram.

Quadrilateral tiling. The first step is to recognize that a square (4 sides) can cover the entire plane in a repeating pattern. This means we can arrange square tiles to completely fill the plane without any gaps or overlapping tiles.

It is no longer possible to tile the plane with these tiles because the left side of one tile no longer matches the right side of another tile. To make it possible to tile the plane again, the same deformation must be applied to the right side, while ensuring the endpoints stay the same as well.

Now, begin by creating such a tiling and select a gray tile. Take one side of the tile, such as the left side, and curve it, ensuring the endpoints of the curve remain the same as the original straight side.

The resulting shape is called a parallelogram.

You can do the same with the sides in the other direction, meaning you replace them with curves that have the same endpoints.

TNow this gives a new tiling:

In any case, when you deform one side into a curve, you must also deform its twin side correspondingly. To do so there are two possible transformations: -Translation along a direction -Glide reflection along a direction. A glide reflection is a reflection followed by a translation (both in the same direction) If you pick a parallelogram and you deform a side parallel to the flip direction, you modify its twin by a glide reflection on the glide direction. If you pick a parallelogram and you deform a side that is not parallel to the flip direction, you modify its twin by a translation on the symmetry direction. If you pick a kite, any side that you deform, you must modify the corresponding twin side by a glide reflection on the glide direction.

Thank you

Thank you

Hex (board game)

The game was first introduced by Piet Hein in a mathematics lecture at the Institute for Theoretical Physics in 1942, and on December 26 of that year the newspaper Politiken published an account of the game, which quickly became very popular under the name Polygon. In 1948, John Nash reinvented the game while he was a mathematics student at Princeton University; the game quickly became popular among mathematics students, who called it Nash (after its inventor) or John because it was played on bathroom floors, which were paved with hexagonal tiles. In 1952, Parker Brothers released a commercial version under the name Hex, which became the name by which it is generally known.

• The end of a game of Hex on a standard 11×11 board. Here, White wins the game