Semiotics as a Tool for Learning Mathematics

How to Describe the Construction, Visualisation, and Communication of Mathematical Concepts

  • Adalira Sáenz-Ludlow
  • Gert Kadunz

Table of contents

  1. Front Matter
    Pages i-vi
    1. Adalira Sáenz-Ludlow, Gert Kadunz
      Pages 1-21
  2. Communication

    1. Front Matter
      Pages 23-23
    2. Gert Kadunz
      Pages 25-42
  3. Visualisation

    1. Front Matter
      Pages 67-67
    2. Gert Kadunz
      Pages 111-126
    3. Patricia Perry, Leonor Camargo, Carmen Samper, Óscar Molina, Adalira Sáenz-Ludlow
      Pages 127-153
    4. Adalira Sáenz-Ludlow
      Pages 155-179
  4. Problem Solving

About this book


Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.


Diagrams Visualization Argumentation Communication Inferential Thinking

Editors and affiliations

  • Adalira Sáenz-Ludlow
    • 1
  • Gert Kadunz
    • 2
  1. 1.University of North Carolina at CharlotteUSA
  2. 2.University of KlagenfurtAustria

Bibliographic information

  • DOI
  • Copyright Information SensePublishers-Rotterdam, The Netherlands 2016
  • Publisher Name SensePublishers, Rotterdam
  • eBook Packages Education
  • Online ISBN 978-94-6300-337-7
  • About this book