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Rigorous Mathematical Thinking: Conceptual Formation in the Mathematics Classroom

By addebook • Jul 20th, 2008 • Category: Mathematics Get in Amazon

Rigorous Mathematical Thinking: Conceptual Formation in the Mathematics Classroom


Rigorous Mathematical Thinking: Conceptual Formation in the Mathematics Classroom
By James T. Kinard, Alex Kozulin

Publisher: Cambridge University Press
Number Of Pages: 216
Publication Date: 2008-06-02
ISBN-10 / ASIN: 0521876850
ISBN-13 / EAN: 9780521876858
Binding: Hardcover

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.

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