## Rezat, Sebastian

# Transformation - A Fundamental Idea of Mathematics Education

**Table of contents**

**Discussion of Part I:. Transitions in Learning Mathematics as a Challenge for People and Institutions**

1. How Eighteenth-Century Mathematics Was Transformed into Nineteenth-Century School Curricula*Heike Renate Biermann, Hans Niels Jahnke*

2. Framework for Examining the Transformation of Mathematics and Mathematics Learning in the Transition from School to University*Maike Vollstedt, Aiso Heinze, Kristin Gojdka, Stefanie Rach*

3. Knowledge Transformation Between Secondary School and University Mathematics*Oliver Deiser, Kristina Reiss*

4. Student Transition to University Mathematics Education: Transformations of People, Tools and Practices*Birgit Pepin*

5. Overcoming the Gap Between University and School Mathematics*Gabriele Kaiser, Nils Buchholtz*

6. Mathematical Moments in a Human Life: Narratives on Transformation*Barbro Grevholm*

**Discussion I of Part II. Representing and Meaning-Making: The Transformation of Transformation**

7. Constructing Knowledge by Transformation, Diagrammatic Reasoning in Practice*Gert Kadunz*

8. Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing the Notion of Conditional Statement*Maria Alessandra Mariotti*

9. Dynamic Representations of Complex Numbers*Reinhard Hölzl*

10. Dynamic and Tangible Representations in Mathematics Education*Colette Laborde, Jean-Marie Laborde*

11. The Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity: Tools, Tasks, Individuals and Learning Communities*Vince Geiger*

12. Designing a Simulator in Building Trades to Transform Vocational Education*Annie Bessot*

**Discussion of Part III. Fundamental Ideas of Didactics—Reactions to the Suggested Meta-theoretical Construct for Reflecting and Connecting Theories**

13. From Proof Image to Formal Proof—A Transformation*Tommy Dreyfus, Ivy Kidron*

14.

*Judith Stanja, Heinz Steinbring*

15. Understanding Geometric Work through Its Development and Its Transformations*Alain Kuzniak*

16. Small Steps to Promote “Mathematical Literacy”*Lothar Profke*

17. Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science*Joost Klep*

**Keywords:** Education, Mathematics Education, Educational Philosophy

- Author(s)
- Rezat, Sebastian
- Hattermann, Mathias
- Peter-Koop, Andrea
- Publisher
- Springer
- Publication year
- 2014
- Language
- en
- Edition
- 2014
- Page amount
- 814 pages
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9781461434894