Visualizing mathematics : the role of spatial reasoning in mathematical thought

著者

    • Mix, Kelly S. S.
    • Battista, Michael T.

書誌事項

Visualizing mathematics : the role of spatial reasoning in mathematical thought

Kelly S. S. Mix, Michael T. Battista, editors

(Research in mathematics education / series editors, Jinfa Cai, James Middleton)

Springer, c2018

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children's mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

目次

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詳細情報

  • NII書誌ID(NCID)
    BB27498413
  • ISBN
    • 9783319987668
  • LCCN
    2018958712
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Cham]
  • ページ数/冊数
    xv, 378 p.
  • 大きさ
    25 cm
  • 親書誌ID
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