Transformation - A Fundamental Idea of Mathematics Education

  • Sebastian Rezat
  • Mathias Hattermann
  • Andrea Peter-Koop

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Transformations at Transitions in Mathematics Education

  3. Transformations Related to Representations of Mathematics

About this book


This book opens up a discussion on fundamental ideas of mathematics education as a means to focus on the overarching core issues and to reflect upon the identity of the scientific discipline. The concept of transformation is introduced as one fundamental idea in the discipline and examined from different perspectives. Transformations are  related to knowledge, to signs and representations of mathematics, to concepts and ideas central to teaching and learning mathematics, and to instruments for the learning of mathematics.

With an international pool of authors, this book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?

The book is meant for researchers, teacher educators and curriculum designers in the field of Mathematics Education. It is destined to occupy an important place in current literature on the topic of transformation as a way of uncovering and explaining  mathematical practice and the very essence of mathematics as well as a way of creating and maintaining  semantic networks between different content areas. 


Cognitive and Epistemological Perspectives on Geometry Diagrammatic Reasoning Discontinuity in Mathematics Education Human Perception of mathematics Integrating Artifacts in Mathematics Teaching and Learning Mathematical Literacy Transformation of Knowledge in Mathematics Education Vygotsky and Semiotic Mediation

Editors and affiliations

  • Sebastian Rezat
    • 1
  • Mathias Hattermann
    • 2
  • Andrea Peter-Koop
    • 3
  1. 1.IEIM - Institut für MathematikUniversität PaderbornPaderbornGermany
  2. 2.Fakultät für Mathematik - IDMUniversität BielefeldBielefeldGermany
  3. 3.Fakultät für Mathematik - IDMUniversität BielefeldBielefeldGermany

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-1-4614-3488-7
  • Online ISBN 978-1-4614-3489-4
  • About this book