Mathematics Education Library

Toward a Visually-Oriented School Mathematics Curriculum

Research, Theory, Practice, and Issues

Authors: Rivera, Ferdinand

  • Connects relevant research on visualization and school mathematics education to research on visualization and cognition, in general
  • Provides a systematic analysis of the role of visualization in each of the following important aspects in mathematics: symbolization, generalization, and reasoning
  • Provides critical information on how to develop a visual-oriented mathematics curriculum, instruction and learning
see more benefits

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-007-0014-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-94-007-0013-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-94-007-3470-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."

Table of contents (8 chapters)

  • Introduction

    Rivera, Ferdinand D.

    Pages 1-19

  • Visualization and Progressive Schematization: Framing the Issues

    Rivera, Ferdinand D.

    Pages 21-58

  • Visual Roots of Mathematical Cognitive Activity

    Rivera, Ferdinand D.

    Pages 59-97

  • Visual Roots of Mathematical Symbols

    Rivera, Ferdinand D.

    Pages 99-143

  • Visuoalphanumeric Representations in Pattern Generalization Activity

    Rivera, Ferdinand D.

    Pages 145-197

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-007-0014-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-94-007-0013-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-94-007-3470-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Toward a Visually-Oriented School Mathematics Curriculum
Book Subtitle
Research, Theory, Practice, and Issues
Authors
Series Title
Mathematics Education Library
Series Volume
49
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0014-7
DOI
10.1007/978-94-007-0014-7
Hardcover ISBN
978-94-007-0013-0
Softcover ISBN
978-94-007-3470-8
Series ISSN
0924-4921
Edition Number
1
Number of Pages
IX, 316
Topics