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Item Details
| Title:
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NUMBER THEORY IN MATHEMATICS EDUCATION
PERSPECTIVES AND PROSPECTS |
| By: |
Rina Zazkis (Editor), Stephen R. Campbell (Editor) |
| Format: |
Electronic book text |
| List price:
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£31.99 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
1136501509 |
| ISBN 13: |
9781136501500 |
| Publisher: |
TAYLOR & FRANCIS LTD |
| Pub. date: |
1 October, 2012 |
| Series: |
Studies in Mathematical Thinking and Learning Series |
| Pages: |
268 |
| Synopsis: |
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. |
| Publication: |
UK |
| Imprint: |
Routledge |
| Returns: |
Non-returnable |
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