Rigorous Mathematical Thinking: Conceptual Formation in the Mathematics Classroom

ISBN-13: 9780521876858 / Angielski / Twarda / 2008 / 209 str.

James T. Kinard; Alex Kozulin

Opis

This book demonstrates how rigorous mathematical thinking can be fostered through the development of students cognitive tools and operations. Though this approach can be applied in any classroom, it seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children s cognitive functions cannot be viewed as following a natural maturational path: They should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches allowing such an active construction Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers."

Recenzje

'… The book raises some interesting ideas and should give rise to some productive reflections.' American Journal of Psychology

Spis treści

1. The culture of mathematics; 2. Goals and objectives of mathematics education; 3. Vygotsky's Sociocultural Theory and mathematics learning; 4. Mediated learning and cognitive functions; 5. Mathematical concept formation and cognitive tools; 6. Rigorous Mathematical Thinking – application, assessment and evaluation; 7. Conclusion.