Mathematics Education Library

Humans-with-Media and the Reorganization of Mathematical Thinking

Information and Communication Technologies, Modeling, Visualization and Experimentation

Authors: Borba, Marcelo C., Villarreal, Monica E.

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  • ISBN 978-0-387-24264-4
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Softcover $109.99
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About this book

This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Borba and Villarreal provide examples from research conducted at the level of basic and university-level education, developed by their research group based in Brazil, and discuss their findings in the light of the relevant literature. Arguing that different media reorganize mathematical thinking in different ways, they discuss how computers, writing and oral discourse transform education at an epistemological as well as a political level. Modeling and experimentation are seen as pedagogical approaches which are in harmony with changes brought about by the presence of information and communication technology in educational settings. Examples of research about on-line mathematics education courses, and Internet used in regular mathematics courses, are presented and discussed at a theoretical level. In this book, mathematical knowledge is seen as developed by collectives of humans-with-media. The authors propose that knowledge is never constructed solely by humans, but by collectives of humans and technologies of intelligence. Theoretical discussion developed in the book, together with new examples, shed new light on discussions regarding visualization, experimentation and multiple representations in mathematics education. Insightful examples from educational practice open up new paths for the reader.

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Why Another Book about Technology and Mathematics Education?

    Pages 1-7

  • Information Technology, Reorganization of Thinking and Humans-with-Media

    Pages 9-27

  • Modeling as a Pedagogical Approach: Resonance with New Media

    Pages 29-61

  • Experimental-with-Technology Approach: Resonance with Modeling and Multiple Representations

    Pages 63-78

  • Visualization, Mathematics Education and Computer Environments

    Pages 79-99

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-0-387-24264-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-0-387-24263-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $109.99
price for USA in USD
  • ISBN 978-0-387-32821-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Humans-with-Media and the Reorganization of Mathematical Thinking
Book Subtitle
Information and Communication Technologies, Modeling, Visualization and Experimentation
Authors
Series Title
Mathematics Education Library
Series Volume
39
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-24264-4
DOI
10.1007/b105001
Hardcover ISBN
978-0-387-24263-7
Softcover ISBN
978-0-387-32821-8
Series ISSN
0924-4921
Edition Number
1
Number of Pages
XXII, 232
Number of Illustrations
42 b/w illustrations
Topics