Theories of Mathematics Education (eBook)

I.- Preface to Part I.- Surveying Theories and Philosophies of Mathematics Education.- II.- Preface to Part II Ernest’s Reflections on Theories of Learning.- Reflections on Theories of Learning.- Commentary 1 on Reflections on Theories of Learning by Paul Ernest.- Commentary 2 on Reflections on Theories of Learning.- III.- Preface to Part III.- On the Theoretical, Conceptual, and Philosophical Foundations for Research in Mathematics Education.- Commentary on On the Theoretical, Conceptual, and Philosophical Foundations for Research in Mathematics Education.- IV.- Preface to Part IV.- Theories of Mathematics Education: Is Plurality a Problem?.- Commentary on Theories of Mathematics Education: Is Plurality a Problem?.- V.- Preface to Part V.- Re-conceptualizing Mathematics Education as a Design Science.- Commentary 1 on Re-conceptualizing Mathematics Education as a Design Science.- Commentary 2 on Re-conceptualizing Mathematics Education as a Design Science.- Commentary 3 on Re-conceptualizing Mathematics Education as a Design Science.- VI.- Preface to Part VI.- The Fundamental Cycle of Concept Construction Underlying Various Theoretical Frameworks.- Commentary on The Fundamental Cycle of Concept Construction Underlying Various Theoretical Frameworks.- VII.- Preface to Part VII.- Symbols and Mediation in Mathematics Education.- Commentary on Symbols and Mediation in Mathematics Education.- VIII.- Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion.- Commentary on Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion.- IX.- Preface to Part IX.- Problem Solving for the 21 Century.- Commentary 1 on Problem Solving for the 21 Century.- Commentary 2 on Problem Solving for the 21 Century.- X.- Preface to Part X.- Embodied Minds and Dancing Brains: New Opportunities for Research in Mathematics Education.- Commentary on Embodied Minds and Dancing Brains: New Opportunities for Research in Mathematics Education.- XI.- Preface to Part XI.- DNR-Based Instruction in Mathematics as a Conceptual Framework.- Commentary on DNR-Based Instruction in Mathematics as a Conceptual Framework.- XII.- Appreciating in Qualitative Research.- XIII.- Preface to Part XIII.- Understanding a Teacher’s Actions in the Classroom by Applying Schoenfeld’s Theory : Reflecting on Goals and Beliefs.- Commentary on Understanding a Teacher’s Actions in the Classroom by Applying Schoenfeld’s Theory : Reflecting on Goals and Beliefs.- XIV.- Preface to Part XIV.- Feminist Pedagogy and Mathematics.- Commentary 1 on Feminist Pedagogy and Mathematics.- Commentary 2 on Feminist Pedagogy and Mathematics.- Commentary 3 on Feminist Pedagogy and Mathematics.- XV.- Preface to Part XV.- Networking of Theories—An Approach for Exploiting the Diversity of Theoretical Approaches.- Commentary on Networking of Theories—An Approach for Exploiting the Diversity of Theoretical Approaches.- XVI.- Preface to Part XVI.- On Networking Strategies and Theories’ Compatibility: Learning from an Effective Combination of Theories in a Research Project.- Modalities of a Local Integration of Theories in Mathematics Education.- Commentary on On Networking Strategies and Theories’ Compatibility: Learning from an Effective Combination of Theories in a Research Project.- Commentary on Modalities of a Local Integration of Theories in Mathematics Education.- XVII.- Preface to Part XVII.- Complexity Theories and Theories of Learning: Literature Reviews and Syntheses.- XVIII.- Preface to Part XVIII.- Knowing More Than We Can Tell.- Commentary on Knowing More Than We Can Tell.- XIX.- Politicizing Mathematics Education: Has Politics Gone too Far? Or Not Far Enough?.- Commentary on Politicizing Mathematics Education: Has Politics Gone too Far? Or Not Far Enough?.