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Title Learning and teaching number theory : research in cognition and instruction / edited by Stephen R. Campbell and Rina Zazkis.
Imprint Westport, Conn. : Ablex Pub., 2002.

Series Mathematics, learning, and cognition. monograph series of the Journal of mathematical behavior ; v. 2
Mathematics, learning, and cognition ; v. 2.
Subject Number theory -- Study and teaching.
Alt Name Campbell, Stephen R.
Zazkis, Rina.
Series Mathematics, learning, and cognition. monograph series of the Journal of mathematical behavior ; v. 2
Mathematics, learning, and cognition ; v. 2.
Subject Number theory -- Study and teaching.
Alt Name Campbell, Stephen R.
Zazkis, Rina.
Description 1 online resource (vi, 245 pages) : illustrations.
Bibliography Note Includes bibliographical references and indexes.
Contents Toward number theory as a conceptual field / Stephen R. Campbell and Rina Zazkis -- Coming to terms with division: Preservice teachers' understanding / Stephen R. Campbell -- Conceptions of divisibility: Success and understanding / Anne Brown, Karen Thomas, and George Tolias -- Language of number theory: Metaphor and rigor / Rina Zazkis -- Understanding elementary number theory at the undergraduate level: A semiotic approach / Pier Luigi Ferrari -- Integrating content and process in classroom mathematics / Anne R. Teppo -- Patterns of thought and prime factorization / Anne Brown -- What do students do with conjectures? Preservice teachers' generalizations on a number theory task / Laurie D. Edwards and Rina Zazkis -- Generic proofs in number theory / Tim Rowland -- The development of mathematical induction as a proff scheme: A model for DNR-based instruction / Guershon Harel -- Reflections on mathematics education research questions in elementary number theory / Annie Selden and John Selden.
Summary 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.
Note Print version record.
ISBN 0313016038 (electronic bk.)
9780313016035 (electronic bk.)
1280315466
9781280315466
9781567506525
1567506526
9781567506532
1567506534
1567506526 (alk. paper)
1567506534 (pbk. ; alk. paper)
OCLC # 53987298
Additional Format Print version: Learning and teaching number theory. Westport, Conn. : Ablex Pub., 2002 1567506526 1567506534 (DLC) 2001031649 (OCoLC)46937524



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