| 书目名称 | Teaching and Learning Patterns in School Mathematics | | 副标题 | Psychological and Pe | | 编辑 | Ferdinand Rivera | | 视频video | | | 概述 | The only book to advocate a patterns approach to mathematics education as a way of democratizing access to hard-to-reach concepts and processes.Provides a synthesis of twenty years of research on the | | 图书封面 |  | | 描述 | This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Tw | | 出版日期 | Book 2013 | | 关键词 | Algebraic thinking and patterns; Mathematical cognition and patterns; Pattern generalization; Patternin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-007-2712-0 | | isbn_softcover | 978-94-007-9428-3 | | isbn_ebook | 978-94-007-2712-0 | | copyright | Springer Science+Business Media Dordrecht 2013 |
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发表于 2025-3-21 17:29:10
