Overview
- The principle of Transformation is used to shape discussions of mathematics theory
- Discontinuity in mathematics education is addressed and real world examples given to solve this problem
- Teaching and learning geometry provides a context for understanding transformation in mathematics education
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Table of contents (21 chapters)
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Front Matter
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Transformations at Transitions in Mathematics Education
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Front Matter
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Back Matter
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Transformations Related to Representations of Mathematics
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Front Matter
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Back Matter
Keywords
- 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
About this book
The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The 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?
Editors and Affiliations
Bibliographic Information
Book Title: Transformation - A Fundamental Idea of Mathematics Education
Editors: Sebastian Rezat, Mathias Hattermann, Andrea Peter-Koop
DOI: https://doi.org/10.1007/978-1-4614-3489-4
Publisher: Springer New York, NY
eBook Packages: Humanities, Social Sciences and Law, Education (R0)
Copyright Information: Springer Science+Business Media, LLC 2014
Hardcover ISBN: 978-1-4614-3488-7
Softcover ISBN: 978-1-4939-5220-5
eBook ISBN: 978-1-4614-3489-4
Edition Number: 1
Number of Pages: XXII, 409
Number of Illustrations: 86 b/w illustrations, 26 illustrations in colour