APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education

Front Cover
Springer Science & Business Media, Aug 4, 2013 - Education - 254 pages
1 Review
In spite of the fact that APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single references 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. It should be useful for researchers who work with, or would like to learn more about, this theoretical approach, people who are interested in the way which mathematical conceptions are constructed according to this theory, Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors.
 

What people are saying - Write a review

User Review - Flag as inappropriate

APOS THEORY

Contents

Introduction
1
From Piagets Theory to APOS Theory Reflective Abstraction in Learning Mathematics and the Historical Development
5
Mental Structures and Mechanisms APOS Theory and the Construction of Mathematical Knowledge
16
Genetic Decomposition
27
The Teaching of Mathematics Using APOS Theory
57
The APOS Paradigm for Research and Curriculum Development
92
Schemas Their Development and Interaction
109
Totality as a Possible New Stage and Levels in APOS Theory
137
Use of APOS Theory to Teach Mathematics at Elementary School
151
Frequently Asked Questions
175
Conclusions
188
Annotated Bibliography
197
References
227
About the Authors
233
Index
234
Copyright

Other editions - View all

Common terms and phrases

About the author (2013)

Ed Dubinsky is a Visiting Adjunct Professor at the University of Miami, FL, USA. Dr. Dubinsky is considered the father of APOS Theory. Ilana Arnon is a lecturer of Mathematics Education for prospective middle school mathematics teachers at Givat Washington Academic College of Education, Israel. Jim Cottrill is an assistant professor of Mathematics at Ohio Dominican University, OH, USA. Asuman Oktaš is a professor in the Department of Mathematics Education at CINVESTAV-IPN, Mexico. Dora Solange Roa is an associate professor in the School of Mathematics at the Universidad Industrial de Santander, Colombia. Maria Trigueros is a professor in the Department of Mathematics at Instituto Tecnolˇgico Autˇnomo de MÚxico, Mexico. Kirk Weller is a professor and head of the Mathematics Department at Ferris State University, MI, USA.

Bibliographic information