Number Theory in Mathematics Education: Perspectives and Prospects

ISBN-13: 9780805854084 / Angielski / Miękka / 2006 / 304 str.

Rina Zazkis; Stephen R. Campbell

Opis

This book offers multiple interconnected perspectives on the potential of elementary number theory for mathematics education.Contributions from an int'l group of researchers represent a range of pedagogical and research orientations by that,collectively

Recenzje

"There is no extant work on research in number theory that matches the comprehensiveness or currency of this text...It should become a classic in the research literature in mathematics education."
—John A. Dossey
Illinois State University

Spis treści

Contents: Preface. R. Zazkis, S.R. Campbell, Number Theory in Mathematics Education Research: Perspectives and Prospects. S.R. Campbell, Understanding Elementary Number Theory in Relation to Arithmetic and Algebra. J. Mason, What Makes an Example Exemplary: Pedagogical and Didactical Issues in Appreciating Multiplicative Structures. N. Sinclair, For the Beauty of Number Theory. R. Zazkis, P. Liljedahl, On the Path to Number Theory: Repeating Patterns as a Gateway. R. Leikin, Learning by Teaching: A Case of Sieve of Eratosthenes and One Elementary School Teacher. P. Liljedahl, Learning Elementary Number Theory Through a Chain of Discovery: Preservice Teachers' Encounter With Pentominoes. C. Kieran, J. Guzman, The Number Theoretic Experience of 12-to 15 Year Olds in a Calculator Environment: The Intertwining Co-Emergence of Technique and Theory. I. Lavy, Learning Number Theory Concepts Via Geometrical Interactive Computerized Setting. D. Ginat, Overlooking Number Patterns in Algorithmic Problem Solving. J.C. Smith, Revisiting Algebra in a Number Theoretical Setting.

O autorze

Zazkis, Rina; Campbell, Stephen R.