Learning and teaching number theory : research in cognition and instruction /

• Άλλοι συγγραφείς: Campbell, Stephen R., Zazkis, Rina
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Westport, Conn. : Ablex Pub., 2002.
• Σειρά: Mathematics, learning, and cognition ; v. 2.
• Θέματα: Number theory > Study and teaching.; MATHEMATICS > Pre-Calculus.; MATHEMATICS > Reference.; MATHEMATICS > Essays.; Onderwijs.; Electronic books.

 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. 

 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.