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Semiotic Perspectives in the Teaching & Learning of Math Series

Semiotics as a Tool for Learning Mathematics

Editors: Sáenz-Ludlow, Adalira, Kadunz, Gert (Eds.)

  • The book presents theoretical aspects of Peirce’s semiotics and their application to the teaching and the learning of mathematics
  • It offers innovative perspectives on visualization mediated by the construction and transformation of diagrams (iconic sign-vehicles) to facilitate the exploration and construction of mathematical relations, in order to deduce new ones and to argue them convincingly
  • This book offers innovative perspectives on epistemological questions of mathematics education by processes interpretation and/or creation of mathematical sign-vehicles to sustain evolving processes of communication and conceptualization, in an out of the classroom, as well as ways to analyze students’ conceptualizing accomplishments
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eBook $49.99
price for USA (gross)
  • ISBN 978-94-6300-337-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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.                                  

Table of contents (10 chapters)

  • Constructing Knowledge Seen as a Semiotic Activity

    Sáenz-Ludlow, Adalira (et al.)

    Pages 1-21

  • Geometry, A Means of Argumentation

    Kadunz, Gert

    Pages 25-42

  • Classroom Mathematical Activity When it is Seen as an Inter-Intra Double Semiotic Process of Interpretation

    Sáenz-Ludlow, Adalira (et al.)

    Pages 43-66

  • Visualisation for Different Mathematical Purposes

    Yoon, Caroline

    Pages 69-87

  • Visualising Cubic Reasoning with Semiotic Resources and Modeling Cycles

    Yoon, Caroline (et al.)

    Pages 89-109

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-94-6300-337-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Semiotics as a Tool for Learning Mathematics
Editors
  • Adalira Sáenz-Ludlow
  • Gert Kadunz
Series Title
Semiotic Perspectives in the Teaching & Learning of Math Series
Copyright
2016
Publisher
Sense Publishers
Copyright Holder
SensePublishers-Rotterdam, The Netherlands
eBook ISBN
978-94-6300-337-7
DOI
10.1007/978-94-6300-337-7
Edition Number
1
Topics