Transformation - A Fundamental Idea of Mathematics Education [electronic resource] / edited by Sebastian Rezat, Mathias Hattermann, Andrea Peter-Koop.

Introduction to Part I -- How 18th Century Mathematics was Transformed into 19th Century School Curricula -- 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 -- Knowledge Transformation between Secondary School and University Mathematics -- Student Transition to University Mathematics Education: Transformations of People, Tools and Practices -- 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 -- Mathematical Moments in a Human Life: Narratives on Transformation -- Transitions in Learning Mathematics as a Challenge for People and Institutions -- Introduction to Part II -- Constructing Knowledge by Transformation: Diagrammatic Reasoning in Practice -- Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing the Notion of Conditional Statement -- Dynamic Representations of Complex Numbers: Opportunities to Learn in Teacher Training -- Dynamic and Tangible Representations in Mathematics Education -- The Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity: Tools, Tasks, Individuals and Learning Communities -- Designing a Simulator in Building Trades to Transform Vocational Education -- Discussion I from an Epistemological Point of View: Representing and Meaning-making: The Transformation of Transformation -- Discussion II from a Technological Point of View: Digital Technologies and Transformation in Mathematics Education -- Introduction to Part III -- From Proof Image to Formal Proof - a Transformation -- Elementary Stochastic Seeing in Primary Mathematics Classrooms - Epistemological Foundation and Empirical Evaluation of a Theoretical Construct -- Understanding Geometric Work through its Development and its Transformations -- Small Steps to Promote "Mathematical Literacy" -- Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science -- Fundamental Ideas of Didactics - Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting Theories -- Epilogue.