Ancient Greek Mathematicians and STEAM

sire7107, Apr 2, 2025

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. [color=#0a971e][/color]

Table of Contents

  1. Introduction
    1. Project Erasmus+ Partnerships for Cooperation Project „Ancient Greek mathematicians today ​and the use of STEAM in teaching“
  2. Thales – Presentations, Posters, Exercises
    1. Thales theorem
    2. Posters
    3. Problem tasks
    4. Thales's Theorem
    5. geogebra Thales(instructions)
  3. Pythagoras and Euclid – Presentations, Posters, Exercises
    1. Pythagorean Theorem presentation
    2. Pythagorase theorem
    3. Posters
  4. Archimedes – Presentations, Posters, Exercises
    1. Archimedes
    2. Posters of Archimedes
    3. Ostomachion
    4. Posters
  5. Hypatia – Presentations, Posters, Exercises
    1. Hypatia
    2. Hypatia Posters
  6. Mathematics and Music
    1. Music and Mathematics
    2. Rhythm with cups
  7. Tessellations, Fractals, Pythagorean Spiral, Theodorus Spiral, Golden Ratio Spiral
    1. Presentation (Theodorus spiral, Fibonacci spiral, Golden ratioFractals, Pythagoras tree
    2. Square Root Spiral
    3. Fibonacci spiral
    4. Golen Ratio Spiral
    5. Theodorus spiral (square root spiral, Fibonacci spiral and Golden Ratio spiral)
    6. Example. Theodorus spiral
    7. Exsample. Pythagorean tree
    8. Presentation (Create tesselation and posters)
    9. How to create tessellations (instructions)
    10. Exsample. Tessellatsiooni (Morley Theorem Tessellation)
    11. Example. Tessellation using points and midpoints
    12. Example. Tessellation using using an equilateral triangle and rotations around a point
    13. Example(Tessellations created of triangles and squares)
    14. Exsample. Tessellation using triangles and midpoints (animatsiooniga)
  8. Recycling and Math
    1. Recycling, Math, Art, Technology
    2. Recycling bottles
    3. GEOGEBRA RECYCLING (Instructions)
  9. Ostomachion
    1. How to create tangram
    2. How to create Ostomachion
  10. Math and cooking
  11. Students’ Work
    1. Thales and Thales' theorem videos
    2. Tests - Thales
    3. Posters about spirals and sequencies
    4. Ancient Greek
    5. Ostomachion
    6. Ostomachion
    7. Problems related to the Pythagorean theorem
  12. Learning Tasks Created by Teachers
    1. Pythagorean theorem (Lesson plan)
    2. Tessellations (Lesson Plan)
    3. Spirals (Lesson plans)
    4. Digital Interactive Mathematival Maps
    5. Quizziz - Thales
    6. Memorin
    7. Ancient Greek Sculptures and Mythology - lesson plan
    8. Ideas workshop Archimedes:
    9. Ideas workshop Hypatia
    10. Ideas workshop Pythagoras
    11. Ideas workshop Thales

1.

Introduction

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“

1.1.

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2.

Thales – Presentations, Posters, Exercises

  • 1. Thales theorem
  • 2. Posters
  • 3. Problem tasks
  • 4. Thales's Theorem
  • 5. geogebra Thales(instructions)

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3.

Pythagoras and Euclid – Presentations, Posters, Exercises

  • 1. Pythagorean Theorem presentation
  • 2. Pythagorase theorem
  • 3. Posters

3.1.

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3.3.

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4.

Archimedes – Presentations, Posters, Exercises

  • 1. Archimedes
  • 2. Posters of Archimedes
  • 3. Ostomachion
  • 4. Posters

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5.

Hypatia – Presentations, Posters, Exercises

  • 1. Hypatia
  • 2. Hypatia Posters

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6.

Mathematics and Music

  • 1. Music and Mathematics
  • 2. Rhythm with cups

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7.

Tessellations, Fractals, Pythagorean Spiral, Theodorus Spiral, Golden Ratio Spiral

  • 1. Presentation (Theodorus spiral, Fibonacci spiral, Golden ratioFractals, Pythagoras tree
  • 2. Square Root Spiral
  • 3. Fibonacci spiral
  • 4. Golen Ratio Spiral
  • 5. Theodorus spiral (square root spiral, Fibonacci spiral and Golden Ratio spiral)
  • 6. Example. Theodorus spiral
  • 7. Exsample. Pythagorean tree
  • 8. Presentation (Create tesselation and posters)
  • 9. How to create tessellations (instructions)
  • 10. Exsample. Tessellatsiooni (Morley Theorem Tessellation)
  • 11. Example. Tessellation using points and midpoints
  • 12. Example. Tessellation using using an equilateral triangle and rotations around a point
  • 13. Example(Tessellations created of triangles and squares)
  • 14. Exsample. Tessellation using triangles and midpoints (animatsiooniga)

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7.10.

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7.11.

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7.12.

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7.14.

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8.

Recycling and Math

  • 1. Recycling, Math, Art, Technology
  • 2. Recycling bottles
  • 3. GEOGEBRA RECYCLING (Instructions)

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9.

Ostomachion

  • 1. How to create tangram
  • 2. How to create Ostomachion

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10.

Math and cooking


    This chapter does not contain any resources yet.

11.

Students’ Work

  • 1. Thales and Thales' theorem videos
  • 2. Tests - Thales
  • 3. Posters about spirals and sequencies
  • 4. Ancient Greek
  • 5. Ostomachion
  • 6. Ostomachion
  • 7. Problems related to the Pythagorean theorem

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12.

Learning Tasks Created by Teachers

  • 1. Pythagorean theorem (Lesson plan)
  • 2. Tessellations (Lesson Plan)
  • 3. Spirals (Lesson plans)
  • 4. Digital Interactive Mathematival Maps
  • 5. Quizziz - Thales
  • 6. Memorin
  • 7. Ancient Greek Sculptures and Mythology - lesson plan
  • 8. Ideas workshop Archimedes:
  • 9. Ideas workshop Hypatia
  • 10. Ideas workshop Pythagoras
  • 11. Ideas workshop Thales

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