| Number Theory in Mathematics Education: Perspectives and Prospects Contributor(s): Zazkis, Rina (Editor), Campbell, Stephen R. (Editor) |
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ISBN: 080585407X ISBN-13: 9780805854077 Publisher: Routledge OUR PRICE: $161.50 Product Type: Hardcover - Other Formats Published: June 2006 Annotation: 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 |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Study & Teaching - Education | Teaching Methods & Materials - Mathematics |
| Dewey: 512.707 |
| LCCN: 2005052147 |
| Physical Information: 0.9" H x 6.1" W x 9" (1.20 lbs) 304 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses. |