Learning and teaching number theory: research in cognition and instruction

Abstract

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