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Transformation - A Fundamental Idea of Mathematics Education

Sebastian Rezat, Mathias Hattermann, and Andrea Peter-Koop, editors
Publisher: 
Springer
Publication Date: 
2014
Number of Pages: 
409
Format: 
Hardcover
Price: 
129.00
ISBN: 
9781461434887
Category: 
Anthology
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Introduction

Sebastian Rezat, Mathias Hattermann

Part I

Introduction to Part I

Sebastian Rezat, Mathias Hattermann

1 How 18th Century Mathematics was Transformed into 19th Century School Curricula

                Heike Renate Biermann, Hans Niels Jahnke

2 A Framework for Examining the Transfor­mation of Mathematics and Mathematics Learning in the Transition from School to University: An Analysis of German Textbooks from Upper Secondary School and the First Semester

Maike Vollstedt, Aiso Heinze, Kristin Gojdka and 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: The Impact of an Innovative Programme in Mathematics Teacher Education at the Justus-Liebig-University in Giessen

                Gabriele Kaiser, Nils Buchholtz

6 Mathematical Moments in a Human Life: Narratives on Transformation

                Barbro Grevholm

Discussion to Part I

Transitions in Learning Mathematics as a Challenge for People and Institutions

Rolf Biehler

 

Part II

Introduction to Part II

Sebastian Rezat, Mathias Hattermann

 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: Opportunities to Learn in Teacher Training

                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 to Part II

Discussion I from an Epistemological Point of View: Representing and Meaning-making: The Transformation of Transformation

Falk Seeger

Discussion II from a Technological Point of View: Digital Technologies and Transformation in Mathematics Education

Rosamund Sutherland

Part III

Introduction to Part III

Sebastian Rezat, Mathias Hattermann

13 From Proof Image to Formal Proof – a Transformation

Tommy Dreyfus, Ivy Kidron

14 Elementary Stochastic Seeing in Primary Mathematics Classrooms – Epistemological Foundation and Empirical Evaluation of a Theoretical Construct

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

                Josephus Klep

               

Discussion to Part III

Fundamental Ideas of Didactics – Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting Theories

Susanne Prediger

 

Epilogue

Rudolf Sträßer

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