Geometry from Africa: Mathematical and Educational Explorations Book

Foreword
Preface: Geometrical and educational explorations inspired by African cultural activities

1 On geometrical ideas in Africa south of the Sahara
Bibliography

2 From African designs to discovering the Pythagorean Theorem
1. From woven buttons to the Theorem of Pythagoras
2. From decorative designs with fourfold symmetry to Pythagoras
3. From a widespread decorative motif to the discovery of Pythagoras' and Pappus' theorems and an infinity of proofs
4. From mat weaving patterns to Pythagoras, and Latin and magic squares
Bibliography

3 Geometrical ideas in crafts and possibilities for their educational exploration
1. Wall decoration and symmetries
2. Rolling up mats
3. Exploring rectangle constructions used in traditional house building
4. A woven knot in starting point
5. Exploring a woven pyramid
6. Exploring square mats and circular basket bowls
7. Exploring hexagonal weaving: Part 1
8. Exploring hexagonal weaving: Part 2
9. Exploring finite geometrical designs on plaited mats
10. Decorative plaited strips
11. From diagonally woven baskets and bells to a twisted decahedron
Bibliography

4 The 'sona' sand drawing traditions and possibilities for its educational use
Introduction: The Chokwe and their sand drawing traditions
1. Some geometrical aspects of the sona sand drawing tradition
2. Examples of mathematical-educational exploration of sona
3. Excursion: Generation of Lunda-designs
Bibliography