Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Author(s): Jeremy Kilpatrick (auth.), Bharath Sriraman, Lyn English (eds.)
Series: Advances in Mathematics Education
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010
Language: English
Pages: 668
Tags: Mathematics Education
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
