African Mathematics: From Bones to ComputersThis is the first comprehensive text on African Mathematics that can be used to address some of the problematic issues in this area. These issues include attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and studies, literacy, native speakers, social class and differences, equal education, teaching methods, knowledge level, educational guidelines and policies, transitional schools, comparative education, other subjects such as physics and social studies, surveys, talent, educational research, teacher education and qualifications, academic standards, teacher effectiveness, lesson plans and modules, teacher characteristics, instructional materials, program effectiveness, program evaluation, African culture, African history, Black studies, class activities, educational games, number systems, cognitive ability, foreign influence, and fundamental concepts. What unifies the chapters in this book can appear rather banal, but many mathematical insights are so obvious and so fundamental that they are difficult to absorb, appreciate, and express with fresh clarity. Some of the more basic insights are isolated by accounts of investigators who have earned their contemporaries' respect. Winner of the 2012 Cecil B. Currey Book Award. |
Contents
Chapter 01 General Introduction | 1 |
Mathematics of Bones | 11 |
Chapter 03 Geometry South of the Sahara | 16 |
Chapter 04 Numbers | 33 |
Egypt | 41 |
Chapter 06 The Maghrebian Tradition | 50 |
Chapter 07 Combinatorics and African Applications | 60 |
Chapter 08 Vector Calculus and African Applications | 84 |
Chapter 09 The Fourier Transform and African Applications | 96 |
Chapter 10 Mathematical TilingTessellation and African Applications | 111 |
Chapter 11 Bifurcations and African Applications | 120 |
Chapter 12 Fractals | 145 |
Chapter 13 Africancentered Automated Generation of Metadata | 156 |
Access to Mathematics versus Access to the Language of Power Lessons from the Struggle in South African Multilingual Mathematics Classrooms | 188 |
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Common terms and phrases
According African designs African fractals African Mathematics Algebra algorithms analysis ancient applications aspects Bifurcation bioinformatics calculation Century chapter colors Combinatorics complex cultural models cybernetics data mining databases datasets decoration developed discussion Djebbar documents dynamics Eglash Egyptian Egyptian Mathematics ematics employed English Ethnomathematics example exploration Fourier Transform fractal geometry function Gerdes holes Ibn al-Banna indigenous investigators Ishango Bone knowledge language learners learning Lebombo Bone Maghreb Maghrebian magic squares math mathematicians metadata method multilingual numeration system objects Omweso parameter patterns player population problems Pythagorean Pythagorean Theorem query rectangles recursive Reich and Goldstein s/he scalar scaling scientists sequence Sherratt and Lord similar spatial data stones structures symbols symmetry teachers teaching tessellation Text mining Theorem Theory tiling tion tradition unit fractions utilized Vector Calculus vector field vertices visualization Wernham words Zaslavsky