APOS Theory pp 189-195 | Cite as

Conclusions

  • Ilana Arnon
  • Jim Cottrill
  • Ed Dubinsky
  • Asuman Oktaç
  • Solange Roa Fuentes
  • María Trigueros
  • Kirk Weller
Chapter

Abstract

The discussion concludes with three themes that have been developed throughout the preceding chapters. The notions of the developmental/evaluative dichotomy, the development of APOS Theory through mechanisms similar to those used in the theory, and the future of APOS Theory are discussed. The chapter provides “APOS Theory at a glance” and ends with some final thoughts.

Keywords

Coherence Assimilation Triad 

References

  1. Asiala, M., Brown, A., DeVries, D., Dubinsky, E., Mathews, D., & Thomas, K. (1996). A framework for research and curriculum development in undergraduate mathematics education. In Research in Collegiate Mathematics Education II. CBMS Issues in Mathematics Education (Vol. 6, pp. 1–32). Providence, RI: American Mathematical Society.Google Scholar
  2. Baker, B., Cooley, L., & Trigueros, M. (2000). A calculus graphing schema. Journal for Research in Mathematics Education, 31, 557–578.CrossRefGoogle Scholar
  3. Clark, J. M., Cordero, F., Cottrill, J., Czarnocha, B., DeVries, D. J., St. John, D., et al. (1997). Constructing a schema: The case of the chain rule. The Journal of Mathematical Behavior, 16, 345–364.CrossRefGoogle Scholar
  4. Cooley, L., Trigueros, M., & Baker, B. (2007). Schema thematization: A theoretical framework and an example. Journal for Research in Mathematics Education, 38, 370–392.Google Scholar
  5. Cottrill, J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K., & Vidaković, D. (1996). Understanding the limit concept: Beginning with a coordinated process schema. The Journal of Mathematical Behavior, 15, 167–192.CrossRefGoogle Scholar
  6. Piaget, J., & García, R. (1989). Psychogenesis and the history of science (H. Feider, Trans.). New York: Columbia University Press. (Original work published 1983).Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Ilana Arnon
    • 1
  • Jim Cottrill
    • 2
  • Ed Dubinsky
    • 3
  • Asuman Oktaç
    • 4
  • Solange Roa Fuentes
    • 5
  • María Trigueros
    • 6
  • Kirk Weller
    • 7
  1. 1.College of EducationGivat Washington AcademicTel AvivIsrael
  2. 2.Department of MathematicsOhio Dominican UniversityColumbusUSA
  3. 3.School of EducationUniversity of MiamiMiamiUSA
  4. 4.Departamento de Matemática EducativaCinvestav-IPNMexico CityMexico
  5. 5.Escuela de MatemáticasUniversidad Industrial de SantanderBucaramangaColombia
  6. 6.Departamento de MatemáticasInstituto Tecnológico Autónomo de MéxicoSan AngelMexico
  7. 7.Department of MathematicsFerris State UniversityBig RapidsUSA

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