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E-grāmata: Visualisation and Epistemological Access to Mathematics Education in Southern Africa

Edited by (Rhodes University, South Africa)
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This book demonstrates that using visualisation processes in mathematics education can help to enhance teaching and learning and bridge the inequality gap that exists between well-resourced and under-resourced schools in Southern Africa.



This book demonstrates that using visualisation processes in mathematics education can help to enhance teaching and learning and bridge the inequality gap that exists between well-resourced and under-resourced schools in Southern Africa.

Drawing on classroom research conducted in the Southern African region, it examines how epistemological access in a context of gross inequality can be constructively addressed by providing research-based solutions and recommendations. The book outlines the visualisation process as an integral but often overlooked process of mathematics teaching and learning. It goes beyond the traditional understanding of visualisation processes such as picture forming and using tools and considers visualisation processes that are semiotic in nature and includes actions such as gestures in combination with language. It adds value to the visualisation in mathematics education research discourse and deliberation in Africa.

With a unique focus on Southern Africa and open avenues for further research and collaboration in the region, it will be a highly relevant reading for researchers, academics and post-graduate students of mathematics education, comparative education and social justice education.

1. Introduction to the Book
2. Towards a Theory of Visualisation Part 1:
VISUALISATION AND PEDAGOGY
3. A Case for Number Sense
4. A Case for Fractions
Part 2: VISUALISATION AND LEARNING
5. Figural Pattern Generalisation
6.
Reasoning in Solving Word Problems
7. Algebraic Expressions Part 3:
VISUALISATION AND TECHNOLOGY
8. Learning with GeoGebra
9. Teaching and
Learning with Mobile Technologies Part 4: VISUALISATION, SEMIOTICS AND
LANGUAGE
10. A case for Gestures
11. A case for Language
12. Final word A
Synthesis
Marc Schäfer was formerly Professor of Mathematics Education and SARChI Chair in Mathematics Education, Rhodes University, South Africa.