A Reflection on Visual Studies in Mathematics Education: From Purposeful Tourism to a Traveling Theory
  • Ferdinand D. Rivera
Part of the Mathematics Education Library book series (MELI, volume 49)


In writing this book, I have definitely stood on the shoulders of giants whose works on various aspects of mathematical visualization have enriched our understanding of how students actually learn mathematics. The impressive critical syntheses of research studies on visualization in mathematics by Presmeg (2006) and Owens and Outhred (2006), which have been drawn from the annual peer-reviewed proceedings of the International Group for the Psychology of Mathematics Education (IGPME) over a period that spans three decades (1976–2006), provide a comprehensive list of important contributors whose thoughts are reflected in various places in this book. Twenty years ago, the Mathematical Association of America published a visual-driven monograph edited by Zimmermann and Cunningham (1991) that consists of reflective essays by, including references to other, researchers who then began the exciting task of exploring ways to visualize abstract mathematical objects via the power of computer software tools that could support and mediate in the development of advanced mathematical concepts and processes.


Mathematics Education Visual Image Mathematical Knowledge Mathematical Activity Polynomial Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Acknowledgment and Dedication

I wish to express my gratitude to the National Science Foundation (NSF) that provided funding for me to engage in longitudinal classroom work from 2005 to 2010 (under NSF Career Grant #0448649). Results that are reported in this book are all mine and do not reflect the views of the foundation. This book is dedicated to the students and teachers in my 2005–2010 study.


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of MathematicsSan Jose State UniversitySan Jose CaliforniaUSA

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