Learning And Teaching Number Theory

Learning And Teaching Number Theory

by Stephen R. Campbell
     
 

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ISBN-10: 1567506526

ISBN-13: 9781567506525

Pub. Date: 11/30/2001

Publisher: ABC-CLIO, Incorporated

Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, surprisingly little attention has been given to research in learning and teaching number theory per se. This volume is an attempt to redress this matter and to serve as a launch point for further research in this area.

Overview

Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, surprisingly little attention has been given to research in learning and teaching number theory per se. This volume is an attempt to redress this matter and to serve as a launch point for further research in this area. Drawing on work from an international group of researchers in mathematics education, this volume is a collection of clinical and classroom-based studies in cognition and instruction on learning and teaching number theory. Although there are differences in emphases in theory, method, and focus area, these studies are bound through similar constructivist orientations and qualitative approaches toward research into undergraduate students' and preservice teachers' subject content and pedagogical content knowledge.

Collectively, these studies draw on a variety of cognitive, linguistic, and pedagogical frameworks that focus on various approaches to problem solving, communicating, representing, connecting, and reasoning with topics of elementary number theory, and these in turn have practical implications for the classroom. Learning styles and teaching strategies investigated involve number theoretical vocabulary, concepts, procedures, and proof strategies ranging from divisors, multiples, and divisibility rules, to various theorems involving division, factorization, partitions, and mathematical induction.

Product Details

ISBN-13:
9781567506525
Publisher:
ABC-CLIO, Incorporated
Publication date:
11/30/2001
Series:
Mathematics, Learning, and Cognition: Monograph Series of the Journal of Mathematics Series
Pages:
252
Product dimensions:
6.00(w) x 9.00(h) x 0.69(d)
Lexile:
1430L (what's this?)

Table of Contents

Toward Number Theory as a Conceptual Field by Stephen R. Campbell and Rina Zazkis

Coming to Terms with Division: Preservice Teachers' Understanding by Stephen R. Campbell

Conceptions of Divisibility: Success and Understanding by Anne Brown, Karen Thomas, and Georgia Tolias

Language of Number Theory: Metaphor and Rigor by Rina Zazkis

Understanding Elementary Number Theory at the Undergraduate Level: A Semiotic Approach by Pier Luigi Ferrari

Integrating Content and Process in Classroom Mathematics by Anne R. Teppo

Patterns of Thought and Prime Factorization by Anne Brown

What Do Students Do with Conjecture? Preservice Teachers' Generalizations on a Number Theory Task by Laurie D. Edwards and Rina Zazkis

Generic Proofs in Number Theory by Tim Rowland

The Development of Mathematical Induction as a Proof Scheme: A Model for DNR-Based Instruction by Guershon Harel

Reflections on Mathematics Education: Research Questions in Elementary Number Theory by Annie Selden and John Selden

Indexes

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