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Teaching Fractions through Situations: A Fundamental Experiment

Authors: Brousseau, Guy, Brousseau, Guy, Warfield, Virginia McShane

  • Scientific observation serves as a basis for teaching and learning about fractions
  • Utilizes a constructivist methodology to teach about fractions--students are taught to construct their own knowledge
  • Introduces the Didactique model for Mathematics Education
  • Evidence-based examples and templates of the Didactique method are provided
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eBook $99.00
price for USA (gross)
  • ISBN 978-94-007-2715-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-94-007-2714-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-94-017-8420-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of adventures that were astonishing for both the students and the teachers: the reinvention of fractions and of decimal numbers in a sequence of lessons and situations that permitted the students to construct the concepts for themselves. The book leads the reader through the highlights of the sequence's structure and some of the reasoning behind the lesson choices. It then presents explanations of some of the principal concepts of the Theory of Situations. In the process, it offers the reader the opportunity to join a lively set of fifth graders as they experience a particularly attractive set of lessons and master a topic that baffles many of their contemporaries.

Reviews

From the reviews:

 

“This book, intended for teachers, mathematics education researchers, and mathematicians, is about developing and teaching a curriculum for teaching fractions. … the book describes three ‘adventures’ –– the adventure of the researchers while discovering and testing a curriculum for rational number learning, developed using the theory of didactical situations (Chapter 4), the adventure of the teachers implementing that curriculum (Chapter 3), and the adventures of the students experiencing that curriculum (Chapter 2).” (Annie Selden, MAA Reviews, February, 2014)

Table of contents (5 chapters)

  • Why These Adventures?

    Brousseau, Guy (et al.)

    Pages 1-8

  • The Adventure as Experienced by the Students

    Brousseau, Guy (et al.)

    Pages 9-125

  • The Adventure as Experienced by the Teachers

    Brousseau, Guy (et al.)

    Pages 127-163

  • The Adventure as Experienced by the Researchers

    Brousseau, Guy (et al.)

    Pages 165-199

  • Expansions and Clarifications

    Brousseau, Guy (et al.)

    Pages 201-210

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-94-007-2715-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-94-007-2714-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-94-017-8420-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Teaching Fractions through Situations: A Fundamental Experiment
Authors
Copyright
2014
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-2715-1
DOI
10.1007/978-94-007-2715-1
Hardcover ISBN
978-94-007-2714-4
Softcover ISBN
978-94-017-8420-7
Edition Number
1
Number of Pages
XIV, 218
Topics