Theories of Mathematics Education

1. Preface to Part I
Jeremy Kilpatrick

2. Surveying Theories and Philosophies ofMathematics Education
Bharath Sriraman, Lyn English

3. Preface to Part II Ernest’s Reflections onTheories of Learning
Bharath Sriraman, Nick Haverhals

4. Reflections on Theories of Learning
Paul Ernest

5. Commentary 1 on Reflections on Theories ofLearning by Paul Ernest
Simon Goodchild

6. Commentary 2 on Reflections on Theories ofLearning
Paul Ernest

7. Preface to Part III
Lyn D. English

8. On the Theoretical, Conceptual, andPhilosophical Foundations for Research inMathematics Education
Frank K. Lester

9. Commentary on On the Theoretical, Conceptual, andPhilosophical Foundations forResearch inMathematics Education
Guershon Harel

10. Preface to Part IV
Norma Presmeg

11. Theories of Mathematics Education: Is Plurality a Problem?
Stephen Lerman

12. Commentary on Theories of Mathematics Education: Is Plurality a Problem?
Eva Jablonka, Christer Bergsten

13. Preface to Part V
Lyn D. English

14. Re-conceptualizing Mathematics Education asaDesign Science
Richard Lesh, Bharath Sriraman

15. Commentary 1 on Re-conceptualizing Mathematics Education as a Design Science
Miriam Amit

16. Commentary 2 on Re-conceptualizing Mathematics Education as a Design Science
Claus Michelsen

17. Commentary 3 on Re-conceptualizing Mathematics Education as a Design Science
David N. Boote

18. Preface to Part VI
Stephen J. Hegedus

19. The Fundamental Cycle of Concept Construction Underlying Various Theoretical Frameworks
John Pegg, David Tall

20. Commentary on The Fundamental Cycle ofConcept Construction Underlying Various Theoretical Frameworks
Bettina Dahl

21. Preface to Part VII
Stephen J. Hegedus

22. Symbols and Mediation in Mathematics Education
Luis Moreno-Armella, Bharath Sriraman

23. Commentary on Symbols and Mediation inMathematics Education
Gerald A. Goldin

24. Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion
Gerald A. Goldin

25. Commentary on Problem Solving Heuristics, Affect, and Discrete Mathematics: ARepresentational Discussion
Jinfa Cai

26. Preface to Part IX
Jinfa Cai

27. Problem Solving for the 21st Century
Lyn English, Bharath Sriraman

28. Commentary 1 on Problem Solving forthe21stCentury
Peter Grootenboer

29. Commentary 2 on Problem Solving forthe21stCentury
Alan Zollman

30. Preface to Part X
Layne Kalbfleisch

31. Embodied Minds and Dancing Brains: NewOpportunities for Research in Mathematics Education
Stephen R. Campbell

32. Commentary on Embodied Minds and Dancing Brains: New Opportunities for Research inMathematics Education
Scott Makeig

33. Preface to Part XI
Luis Moreno-Armella

34. DNR-Based Instruction in Mathematics asaConceptual Framework
Guershon Harel

35. Commentary on DNR-Based Instruction inMathematics asaConceptual Framework
Bharath Sriraman, Hillary VanSpronsen, Nick Haverhals

36. Appreciating Scientificity in Qualitative Research
Stephen J. Hegedus

37. Preface to Part XIII
Gerald A. Goldin

38. Understanding a Teacher’s Actions intheClassroom by Applying Schoenfeld’s Theory Teaching-In-Context: Reflecting onGoals and Beliefs
Günter Törner, Katrin Rolka, Bettina Rösken, Bharath Sriraman

39. Commentary on Understanding a Teacher’s Actions in the Classroom by Applying Schoenfeld’s Theory Teaching-In-Context: Reflecting on Goals and Beliefs
Dina Tirosh, Pessia Tsamir

40. Preface to Part XIV
Gabriele Kaiser

41. Feminist Pedagogy and Mathematics
Judith E. Jacobs

42. Commentary 1 on Feminist Pedagogy andMathematics
Gilah C. Leder

43. Commentary 2 on Feminist Pedagogy andMathematics
Safure Bulut, Bekir S. Gür, Bharath Sriraman

44. Commentary 3 on Feminist Pedagogy andMathematics
Guðbjörg Pálsdóttir, Bharath Sriraman

45. Preface to Part XV
Tommy Dreyfus

46. Networking of Theories—An Approach forExploiting the Diversity of Theoretical Approaches
Angelika Bikner-Ahsbahs, Susanne Prediger

47. Commentary on Networking of Theories—AnApproach forExploiting the Diversity ofTheoretical Approaches
Ferdinando Arzarello

48. Preface to Part XVI
Susanne Prediger, Angelika Bikner-Ahsbahs

49. On Networking Strategies and Theories’ Compatibility: Learning from an Effective Combination of Theories in a Research Project
Helga Jungwirth

50. Modalities of a Local Integration of Theories inMathematics Education
Uwe Gellert

51. Commentary on On Networking Strategies andTheories’ Compatibility: Learning fromanEffective Combination of Theories inaResearchProject
Uwe Gellert

52. Commentary on Modalities of a Local Integration of Theories inMathematics Education
Tine Wedege

53. Preface to Part XVII
Richard Lesh

54. Complexity Theories and Theories of Learning: Literature Reviews and Syntheses
Andy Hurford

55. Preface to Part XVIII
Bharath Sriraman

56. Knowing More Than We Can Tell
Nathalie Sinclair

57. Commentary on Knowing More Than We Can Tell
David Pimm

58. Politicizing Mathematics Education: Has Politics Gone too Far? Or Not Far Enough?
Bharath Sriraman, Matt Roscoe, Lyn English

59. Commentary on Politicizing Mathematics Education: Has Politics Gone too Far? OrNotFar Enough?
Keiko Yasukawa

Nyckelord: Education, Mathematics Education