書誌事項

Learning mathematics and logo

edited by Celia Hoyles and Richard Noss

(Exploring with Logo)

MIT Press, 1992

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

These original essays summarize a decade of fruitful research and curriculum development using the LISP-derived language Logo. They discuss a range of issues in the areas of curriculum, learning, and mathematics, illustrating the ways in which Logo continues to provide a rich learning environment, one that allows pupil autonomy within challenging mathematical settings.Essays in the first section discuss the link between Logo and the school mathematics curriculum, focusing on the ways in which pupils' Logo activities relate to and are influenced by the ideas they encounter in the context of school algebra and geometry. In the second section the contributions take up pedagogical styles and strategies. They tackle such cognitive and metacognitive questions as, What range of learning styles can the Logo setting accommodate? How can teachers make sense of pupils' preferred strategies? And how can teachers help students to reflect on the strategies they are using? Returning to the mathematical structures, essays in the third section consider a variety of mathematical ideas, drawing connections between mathematics and computing and showing the ways in which constructing Logo programs helps or does not help to illuminate the underlying mathematics.

目次

  • Part 1 Logo in the curriculum: the notion of variable in the context of turtle graphics, Joel Hillel
  • what is algebraic about programming in Logo?, Rosamund Sutherland
  • conceptually defined turtles, Herbert Loethe
  • the turtle metaphor as a tool for children's geometry, Chronis Kynigos
  • a Logo microworld for transformation geometry, Laurie D. Edwards. Part 2 Styles and strategies: LEGO-Logo - a vehicle for learning, Sylvia Weir
  • on intra- and interindividual differences in children's learning styles, Tamara Lemerise
  • mathematics in a Logo environment - a recursive look at a complex phenomenon, Thomas E. Kieren
  • between Logo and mathematics - a road of tunnels and bridges, Jean-Luc Gurtner. Part 3 Expressing mathematical structures: processes - a dynamical integration of computer science into mathematical education, Bruno Vitale
  • of geometry, turtles and groups, Uri Leron and Rina Zazkis
  • patterns, permutations and groups, Trevor Fletcher
  • avoiding recursion, Brian Harvey. Part 4 Afterword: looking back and looking forward, Richard Noss and Celia Hoyles.

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