Number Theory in Mathematics Education: Perspectives and Prospects (Studies in Mathematical Thinking and Learning Series)

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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.
Copyright:
2006

Book Details

Book Quality:
Publisher Quality
Book Size:
268 Pages
ISBN-13:
9781136501432
Related ISBNs:
9780805854077, 9780203053904, 9780805854084
Publisher:
Taylor and Francis
Date of Addition:
Copyrighted By:
Routledge
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Education, Mathematics and Statistics
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.
Edited by:
Rina Zazkis
Edited by:
Stephen R. Campbell

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