Windows on Mathematical Meanings

This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.

Contenu

Foreword.- 1. Visions of the Mathematical.- 2. Laying the Foundations.- 3. Tools and Technologies.- 4. Ratio World.- 5. Webs and Situated Abstractions.- 6. Beyond the Individual Learner.- 7. Cultures and Change.- 8. A Window on Teachers.- 9. A Window on Schools.- 10. Re-visioning Mathematical Meanings.- References.