Theories of Mathematics Education: Seeking New Frontiers

Front Matter....Pages I-XXX
Front Matter....Pages 1-1
Preface to Part I....Pages 3-5
Surveying Theories and Philosophies of Mathematics Education....Pages 7-32
Front Matter....Pages 33-33
Preface to Part II Ernest’s Reflections on Theories of Learning....Pages 35-38
Reflections on Theories of Learning....Pages 39-47
Commentary 1 on Reflections on Theories of Learning by Paul Ernest....Pages 49-52
Commentary 2 on Reflections on Theories of Learning....Pages 53-61
Front Matter....Pages 63-63
Preface to Part III....Pages 65-66
On the Theoretical, Conceptual, and Philosophical Foundations for Research in Mathematics Education....Pages 67-85
Commentary on On the Theoretical, Conceptual, and Philosophical Foundations for Research in Mathematics Education....Pages 87-94
Front Matter....Pages 95-95
Preface to Part IV....Pages 97-98
Theories of Mathematics Education: Is Plurality a Problem?....Pages 99-109
Commentary on Theories of Mathematics Education: Is Plurality a Problem?....Pages 111-117
Front Matter....Pages 119-119
Preface to Part V....Pages 121-122
Re-conceptualizing Mathematics Education as a Design Science....Pages 123-146
Commentary 1 on Re-conceptualizing Mathematics Education as a Design Science....Pages 147-149
Commentary 2 on Re-conceptualizing Mathematics Education as a Design Science....Pages 151-157
Commentary 3 on Re-conceptualizing Mathematics Education as a Design Science....Pages 159-168
Front Matter....Pages 169-169
Preface to Part VI....Pages 171-172
The Fundamental Cycle of Concept Construction Underlying Various Theoretical Frameworks....Pages 173-192
Commentary on The Fundamental Cycle of Concept Construction Underlying Various Theoretical Frameworks....Pages 193-208
Front Matter....Pages 209-209
Preface to Part VII....Pages 211-212
Symbols and Mediation in Mathematics Education....Pages 213-232
Commentary on Symbols and Mediation in Mathematics Education....Pages 233-237
Front Matter....Pages 239-239
Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion....Pages 241-250
Commentary on Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion....Pages 251-258
Front Matter....Pages 259-259
Preface to Part IX....Pages 261-262
Problem Solving for the 21 st Century....Pages 263-290
Commentary 1 on Problem Solving for the 21 st  Century....Pages 291-295
Commentary 2 on Problem Solving for the 21 st  Century....Pages 297-301
Front Matter....Pages 303-303
Preface to Part X....Pages 305-307
Embodied Minds and Dancing Brains: New Opportunities for Research in Mathematics Education....Pages 309-331
Commentary on Embodied Minds and Dancing Brains: New Opportunities for Research in Mathematics Education....Pages 333-337
Front Matter....Pages 339-339
Preface to Part XI....Pages 341-342
DNR-Based Instruction in Mathematics as a Conceptual Framework....Pages 343-367
Commentary on DNR-Based Instruction in Mathematics as a Conceptual Framework....Pages 369-378
Front Matter....Pages 379-379
Appreciating Scientificity in Qualitative Research....Pages 381-394
Front Matter....Pages 395-395
Preface to Part XIII....Pages 397-399
Understanding a Teacher’s Actions in the Classroom by Applying Schoenfeld’s Theory Teaching-In-Context : Reflecting on Goals and Beliefs....Pages 401-420
Commentary on Understanding a Teacher’s Actions in the Classroom by Applying Schoenfeld’s Theory Teaching-In-Context : Reflecting on Goals and Beliefs....Pages 421-427
Front Matter....Pages 429-429
Preface to Part XIV....Pages 431-433
Front Matter....Pages 429-429
Feminist Pedagogy and Mathematics....Pages 435-446
Commentary 1 on Feminist Pedagogy and Mathematics....Pages 447-454
Commentary 2 on Feminist Pedagogy and Mathematics....Pages 455-466
Commentary 3 on Feminist Pedagogy and Mathematics....Pages 467-475
Front Matter....Pages 477-477
Preface to Part XV....Pages 479-481
Networking of Theories—An Approach for Exploiting the Diversity of Theoretical Approaches....Pages 483-506
Commentary on Networking of Theories—An Approach for Exploiting the Diversity of Theoretical Approaches....Pages 507-512
Front Matter....Pages 513-513
Preface to Part XVI....Pages 515-517
On Networking Strategies and Theories’ Compatibility: Learning from an Effective Combination of Theories in a Research Project....Pages 519-535
Modalities of a Local Integration of Theories in Mathematics Education....Pages 537-550
Commentary on On Networking Strategies and Theories’ Compatibility: Learning from an Effective Combination of Theories in a Research Project....Pages 551-554
Commentary on Modalities of a Local Integration of Theories in Mathematics Education....Pages 555-559
Front Matter....Pages 561-561
Preface to Part XVII....Pages 563-566
Complexity Theories and Theories of Learning: Literature Reviews and Syntheses....Pages 567-589
Front Matter....Pages 591-591
Preface to Part XVIII....Pages 593-594
Knowing More Than We Can Tell....Pages 595-612
Commentary on Knowing More Than We Can Tell....Pages 613-618
Front Matter....Pages 619-619
Politicizing Mathematics Education: Has Politics Gone too Far? Or Not Far Enough?....Pages 621-638
Commentary on Politicizing Mathematics Education: Has Politics Gone too Far? Or Not Far Enough?....Pages 639-643
Back Matter....Pages 645-668