| 书目名称 | Combinatorics and Reasoning | | 副标题 | Representing, Justif | | 编辑 | Carolyn A. Maher,Arthur B. Powell,Elizabeth B. Upt | | 视频video | | | 概述 | Unique longitudinal research over 20 years.Presents compelling evidence of the advantages to using combinatorics in mathematics education.Extensive discussion of mathematical tasks | | 图书封面 |  | | 描述 | .Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms. 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...This 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.. | | 出版日期 | Book 2010 | | 关键词 | College Mathematics; Combinatorics Learning; Isomorphism; Longitudinal Studies; Morphism; Problem-solving | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-98132-1 | | isbn_softcover | 978-94-007-9293-7 | | isbn_ebook | 978-0-387-98132-1 | | copyright | Springer Science+Business Media, LLC 2010 |
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发表于 2025-3-21 19:07:52
