{"product_id":"combinatorics-and-reasoning-carolyn-a-maher-9780387981314","title":"Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms","description":"\u003cp\u003e\u003cem\u003eCombinatorics and Reasoning: Representing, Justifying and Building Isomorphisms\u003c\/em\u003e is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level.\u003c\/p\u003e \u003cp\u003eThis volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Carolyn A. Maher\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0387981314\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780387981314\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/17\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 224\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"Carolyn A. Maher","offers":[{"title":"Hardcover","offer_id":47421724000511,"sku":"9780387981314","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d2afd878-dacb-4d12-93f5-197deb2896f7.jpg?v=1761527146","url":"https:\/\/www.whiterainbookhouse.com\/products\/combinatorics-and-reasoning-carolyn-a-maher-9780387981314","provider":"WR Book House","version":"1.0","type":"link"}