Theories of Mathematics Education

Seeking New Frontiers

  • Bharath Sriraman
  • Lyn English

Part of the Advances in Mathematics Education book series (AME)

Table of contents

  1. Front Matter
    Pages I-XXX
  2. Surveying Theories and Philosophies of Mathematics Education

    1. Front Matter
      Pages 1-1
    2. Jeremy Kilpatrick
      Pages 3-5
    3. Bharath Sriraman, Lyn English
      Pages 7-32
  3. Reflections on Theories of Learning

    1. Front Matter
      Pages 33-33
    2. Bharath Sriraman, Nick Haverhals
      Pages 35-38
    3. Paul Ernest
      Pages 39-47
  4. On the Theoretical, Conceptual, and Philosophical Foundations for Research in Mathematics Education

  5. Theories of Mathematics Education: Is Plurality a Problem?

    1. Front Matter
      Pages 95-95
    2. Norma Presmeg
      Pages 97-98
    3. Eva Jablonka, Christer Bergsten
      Pages 111-117
  6. Re-conceptualizing Mathematics Education as a Design Science

  7. The Fundamental Cycle of Concept Construction Underlying Various Theoretical Frameworks

  8. Symbols and Mediation in Mathematics Education

    1. Front Matter
      Pages 209-209
    2. Stephen J. Hegedus
      Pages 211-212
    3. Luis Moreno-Armella, Bharath Sriraman
      Pages 213-232
  9. Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion

  10. Problem Solving for the 21st Century

    1. Front Matter
      Pages 259-259
    2. Jinfa Cai
      Pages 261-262
    3. Lyn English, Bharath Sriraman
      Pages 263-290
  11. Embodied Minds and Dancing Brains: New Opportunities for Research in Mathematics Education

  12. DNR-Based Instruction in Mathematics as a Conceptual Framework

    1. Front Matter
      Pages 339-339
    2. Luis Moreno-Armella
      Pages 341-342
    3. Bharath Sriraman, Hillary VanSpronsen, Nick Haverhals
      Pages 369-378
  13. Appreciating Scientificity in Qualitative Research

    1. Front Matter
      Pages 379-379
    2. Stephen J. Hegedus
      Pages 381-394
  14. Understanding a Teacher’s Actions in the Classroom by Applying Schoenfeld’s Theory Teaching-In-Context: Reflecting on Goals and Beliefs

    1. Front Matter
      Pages 395-395

About this book


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.


Mathematica Mathematics Education complexity mathematics modeling philosophy problem solving

Editors and affiliations

  • Bharath Sriraman
    • 1
  • Lyn English
    • 2
  1. 1.Dept. Mathematical SciencesUniversity of Montana-MissoulaMissoulaU.S.A.
  2. 2.Centre for Learning InnovationQueensland University of TechnologyKelvin GroveAustralia

Bibliographic information