Learning Mathematics

Name: Learning Mathematics
Brand: Springer
SKU: 9789048143979
Price: 105.19 EUR
Availability: InStock

Constructivist and Interactionist Theories of Mathematical Development

Автор: Paul Cobb

Език:

Корици: С меки корици

Издател: Springer

Наличност: Външен склад

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The common theme that links the six contributions to this volume is the emphasis on students' inferr...

Информация за книгата

Автор

Paul Cobb

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

194

EAN

9789048143979

ISBN

9048143977

Enbook ID

05322333

Издател

Springer

Теглоt

454

Размери

155 x 235 x 12

Пълно описание

The common theme that links the six contributions to this volume is the emphasis on students' inferred mathematical experiences as the starting point in the theory-building process. The focus in five of the chapters is primarily cognitive and addresses the processes by which students construct increasingly sophisticated mathematical ways of knowing. The conceptual constructions addressed include multiplicative notions, fractions, algebra, and the fundamental theorem of calculus. The primary goal in each of these chapters is to account for meaningful mathematical learning -- learning that involves the construction of experientially-real mathematical objects. The theoretical constructs that emerge from the authors' intensive analyses of students' mathematical activity can be used to anticipate problems that might arise in learning--teaching situations, and to plan solutions to them. The issues discussed include the crucial role of language and symbols, and the importance of dynamic imagery. §The remaining chapter complements the other contributors' cognitive focus by bringing to the fore the social dimension of mathematical development. He focuses on the negotiation of mathematical meaning, thereby locating students in ongoing classroom interactions and the classroom microculture. Mathematical learning can then be seen to be both an individual and a collective process. This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.

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