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The book contains diverse mathematics-related material, covering both historical topics and practical exercises. The introduction provides an overview of the book's content and objectives. The following chapters focus on famous mathematicians—Thales, Pythagoras, Euclid, Hypatia, and Archimedes—featuring presentations, posters, and exercises about them. A separate section is dedicated to the connections between mathematics and music, as well as geometric patterns, including tessellations, fractals, and various spirals (Pythagorean, Theodorus, and Golden Ratio spirals). The book also explores the relationship between mathematics and recycling and introduces tangram as a tool for developing geometric thinking. At the end of the book, there are teacher-created learning tasks and students' practical projects.
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Inhaltsverzeichnis
Introduction
Project Erasmus+ Partnerships for Cooperation Project „Ancient Greek mathematicians today and the use of STEAM in teaching“
Thales – Presentations, Posters, Exercises
Thales theorem
Posters
Problem tasks
Thales's Theorem
geogebra Thales(instructions)
Pythagoras and Euclid – Presentations, Posters, Exercises
Pythagorean Theorem presentation
Pythagorase theorem
Posters
Archimedes – Presentations, Posters, Exercises
Archimedes
Posters of Archimedes
Ostomachion
Posters
Hypatia – Presentations, Posters, Exercises
Hypatia
Hypatia Posters
Mathematics and Music
Music and Mathematics
Rhythm with cups
Tessellations, Fractals, Pythagorean Spiral, Theodorus Spiral, Golden Ratio Spiral
Presentation (Theodorus spiral, Fibonacci spiral, Golden ratioFractals, Pythagoras tree
Square Root Spiral
Fibonacci spiral
Golen Ratio Spiral
Theodorus spiral (square root spiral, Fibonacci spiral and Golden Ratio spiral)
This book contains materials created as part of the Erasmus+ cooperation project "Ancient Greek Mathematicians Today and the Use of STEAM in Teaching." It includes materials created by teachers and students, as well as student work from the project meetings.
The project "Ancient Greek Mathematicians Today and the Use of STEAM in Teaching." aims to improve the quality of mathematics learning through the implementation of STEAM, the use of digital technology, the use of modern teaching methods and tools, and the provision of new extracurricular knowledge through the development of skills such as entrepreneurship, problem solving and creativity.
1) Popularization of mathematics and science;
2) Development of digital skills, distribution and compilation of materials,
3) Use of new technologies;
4) Cooperation.
1. Project Erasmus+ Partnerships for Cooperation Project „Ancient Greek mathematicians today and the use of STEAM in teaching“