Abstract
Contents 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 Transfor mation 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 Hoelzl 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 Strasser
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