APOS Theory

A Framework for Research and Curriculum Development in Mathematics Education

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 1-4
  3. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 5-15
  4. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 17-26
  5. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 27-55
  6. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 57-91
  7. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 93-108
  8. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 109-135
  9. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 137-150
  10. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 151-174
  11. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 175-187
  12. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 189-195
  13. Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros et al.
    Pages 197-226
  14. Back Matter
    Pages 227-254

About this book

Introduction

Although APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single reference that contains all the relevant information about its components, and provides guidance about its application. The goal of this book is to present the main elements of APOS Theory and its use. The book is intended to be useful for Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors who work with, or would like to learn more about, this theoretical approach, and who are interested in how, according to this theory, individuals construct their understanding of mathematical concepts.

Keywords

ACE cycle and mathematics education APOS Theory APOS theory and abstract algebra APOS theory and curriculum development APOS theory and discrete mathematics APOS theory and linear algebra APOS theory and mathematical induction APOS theory and mathematics functions APOS theory and technology Cognitive phenomena in mathematics education Construction of mathematical knowledge Genetic decomposiition and APOS Theory ISETL in mathematics education Mental constructions and mechanisms in math ed Reflective abstraction in mathematics education schemas in mathematics education

Authors and affiliations

  • Ilana Arnon
    • 1
  • Jim Cottrill
    • 2
  • Ed Dubinsky
    • 3
  • Asuman Oktaç
    • 4
  • Solange Roa Fuentes
    • 5
  • Maria 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 Matematicas Edificio Camilo Torres, Oficina 201Universidad Industrial de SantanderBucaramangaColombia
  6. 6.Departamento de MatematicasInstituto Tecnologico Autonomo de MexicoCol. Tizapan, San AngelMexico
  7. 7.Department of MathematicsFerris State UniversityBig RapidsUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-7966-6
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-1-4614-7965-9
  • Online ISBN 978-1-4614-7966-6
  • About this book