Overview
- The first book on APOS Theory in Mathematics Education, written by the people who developed APOS Theory
- Provides examples of curriculum development utilizing APOS Theory
- Links research and teaching APOS Theory in a coherent manner
- Describes relation of APOS Theory to Functions, Mathematical Induction, Discrete Mathematics, Linear and Abstract Algebra? and more
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (12 chapters)
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
- learning and instruction
About this book
Reviews
“This book is clearly intended to persuade researchers to consider adopting an APOS-based approach. … the authors describe APOS theory as a Kuhnian paradigm, and set out to explain the paradigmatic questions, assumptions, and methods that within-paradigm researchers adopt. … In sum, for a reader interested in understanding APOS theory, this is an excellent book. It lays out APOS’s theoretical assumptions and standard research methods with clarity and precision, and it gives helpful examples of research conducted within the programme.” (Matthew Inglis, International Journal of Research in Undergraduate Mathematics Education, Vol. 1, 2015)
Authors and Affiliations
About the authors
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 Oktaç 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 Tecnológico Autónomo de México, Mexico. Kirk Weller is a professor and head of the Mathematics Department at Ferris State University, MI, USA.
Bibliographic Information
Book Title: APOS Theory
Book Subtitle: A Framework for Research and Curriculum Development in Mathematics Education
Authors: Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, Maria Trigueros, Kirk Weller
DOI: https://doi.org/10.1007/978-1-4614-7966-6
Publisher: Springer New York, NY
eBook Packages: Humanities, Social Sciences and Law, Education (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4614-7965-9Published: 05 August 2013
Softcover ISBN: 978-1-4899-9825-5Published: 27 August 2015
eBook ISBN: 978-1-4614-7966-6Published: 04 August 2013
Edition Number: 1
Number of Pages: XI, 254