© 2005

Humans-with-Media and the Reorganization of Mathematical Thinking

Information and Communication Technologies, Modeling, Visualization and Experimentation

  • To our knowledge, there has been not book about computers in the last five years that approaches mathematics education issues from an epistemological level and that initiates a political discussion about the role of computers in mathematics education.

  • Both discussions are based on research examples


Part of the Mathematics Education Library book series (MELI, volume 39)

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.


Internet communication education information mathematics mathematics education modeling visualization

Authors and affiliations

  1. 1.State University of San Paulo at Rio ClaroBrazil
  2. 2.University of CórdobaCórdobaArgentina

Bibliographic information

  • Book Title Humans-with-Media and the Reorganization of Mathematical Thinking
  • Book Subtitle Information and Communication Technologies, Modeling, Visualization and Experimentation
  • Authors Marcelo C. Borba
    Monica E. Villarreal
  • Series Title Mathematics Education Library
  • DOI
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Humanities, Social Sciences and Law Education (R0)
  • Hardcover ISBN 978-0-387-24263-7
  • Softcover ISBN 978-0-387-32821-8
  • eBook ISBN 978-0-387-24264-4
  • Edition Number 1
  • Number of Pages XXII, 232
  • Number of Illustrations 42 b/w illustrations, 0 illustrations in colour
  • Topics Mathematics Education
    Educational Technology
    Learning & Instruction
  • Buy this book on publisher's site