{"product_id":"number-theory-in-mathematics-education","title":"Number Theory in Mathematics Education","description":"\u003cp\u003eThis 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.\u003cbr\u003e\u003cbr\u003eTopics variously engaged include:\u003cbr\u003e*understanding particular concepts related to numerical structure and number theory;\u003cbr\u003e*elaborating on the historical and psychological relevance of number theory in concept development;\u003cbr\u003e*attaining a smooth transition and extension from pattern recognition to formative principles;\u003cbr\u003e*appreciating the aesthetics of number structure;\u003cbr\u003e*exploring its suitability in terms of making connections leading to \u003ci\u003eaha!\u003c\/i\u003e insights and reaching toward the learner's affective domain;\u003cbr\u003e*reexamining previously constructed knowledge from a novel angle;\u003cbr\u003e*investigating connections between technique and theory;\u003cbr\u003e*utilizing computers and calculators as pedagogical tools; and\u003cbr\u003e*generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers.\u003cbr\u003e\u003cbr\u003eOverall, 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.\u003cbr\u003e\u003cbr\u003e\u003ci\u003eNumber Theory in Mathematics Education: Perspectives and Prospects\u003c\/i\u003e 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54245286969688,"sku":"9780805854084","price":59.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780805854084.jpg?v=1777746625","url":"https:\/\/agendabookshop.com\/products\/number-theory-in-mathematics-education","provider":"Agenda Bookshop","version":"1.0","type":"link"}