Transformation - A Fundamental Idea of Mathematics Education (eBook)

ContentsIntroductionSebastian Rezat, Mathias HattermannPart IIntroduction to Part ISebastian Rezat, Mathias Hattermann1 How 18th Century Mathematics was Transformed into 19th Century School Curricula                Heike Renate Biermann, Hans Niels Jahnke2 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 SemesterMaike Vollstedt, Aiso Heinze, Kristin Gojdka and Stefanie Rach3 Knowledge Transformation between Secondary School and University Mathematics                Oliver Deiser, Kristina Reiss4 Student Transition to University Mathematics Education: Transformations of People, Tools and Practices                Birgit Pepin5 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 Buchholtz6 Mathematical Moments in a Human Life: Narratives on Transformation                Barbro GrevholmDiscussion to Part ITransitions in Learning Mathematics as a Challenge for People and InstitutionsRolf Biehler Part IIIntroduction to Part IISebastian Rezat, Mathias Hattermann 7 Constructing Knowledge by Transformation: Diagrammatic Reasoning in Practice                Gert Kadunz8 Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing        the Notion of Conditional Statement                Maria Alessandra Mariotti9 Dynamic Representations of Complex Numbers: Opportunities to Learn in Teacher Training                Reinhard Hölzl10 Dynamic and Tangible Representations in Mathematics Education                Colette Laborde, Jean-Marie Laborde11 The Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity:      Tools, Tasks, Individuals and Learning Communities                 Vince Geiger12 Designing a Simulator in Building Trades to Transform Vocational Education                Annie BessotDiscussion to Part IIDiscussion I from an Epistemological Point of View: Representing and Meaning-making: The Transformation of TransformationFalk SeegerDiscussion II from a Technological Point of View: Digital Technologies and Transformation in Mathematics EducationRosamund SutherlandPart IIIIntroduction to Part IIISebastian Rezat, Mathias Hattermann13 From Proof Image to Formal Proof – a TransformationTommy Dreyfus, Ivy Kidron 14 Elementary Stochastic Seeing in Primary Mathematics Classrooms – Epistemological Foundation and Empirical Evaluation of a Theoretical Construct Judith Stanja, Heinz Steinbring15 Understanding Geometric Work through its Development and its Transformations                Alain Kuzniak16 Small Steps to Promote “Mathematical Literacy”                 Lothar Profke17 Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science                Josephus Klep                Discussion to Part IIIFundamental Ideas of Didactics – Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting TheoriesSusanne Prediger EpilogueRudolf Sträßer