APOS Theory

1. Introduction
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

2. From Piaget’s Theory to APOS Theory: Reflective Abstraction in Learning Mathematics and the Historical Development of APOS Theory
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

3. Mental Structures and Mechanisms: APOS Theory and the Construction of Mathematical Knowledge
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

4. Genetic Decomposition
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

5. The Teaching of Mathematics Using APOS Theory
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

6. The APOS Paradigm for Research and Curriculum Development
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

7. Schemas, Their Development and Interaction
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

8. Totality as a Possible New Stage and Levels in APOS Theory
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

9. Use of APOS Theory to Teach Mathematics at Elementary School
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

10. Frequently Asked Questions
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

11. Conclusions
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

12. Annotated Bibliography
Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, María Trigueros, Kirk Weller

Avainsanat: Education, Mathematics Education, Learning & Instruction