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

✍ Scribed by Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, Maria Trigueros, Kirk Weller (auth.)

• Publisher: Springer-Verlag New York
• Year: 2014
• Tongue: English
• Leaves: 259
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xi
Introduction....Pages 1-4
From Piaget’s Theory to APOS Theory: Reflective Abstraction in Learning Mathematics and the Historical Development of APOS Theory....Pages 5-15
Mental Structures and Mechanisms: APOS Theory and the Construction of Mathematical Knowledge....Pages 17-26
Genetic Decomposition....Pages 27-55
The Teaching of Mathematics Using APOS Theory....Pages 57-91
The APOS Paradigm for Research and Curriculum Development....Pages 93-108
Schemas, Their Development and Interaction....Pages 109-135
Totality as a Possible New Stage and Levels in APOS Theory....Pages 137-150
Use of APOS Theory to Teach Mathematics at Elementary School....Pages 151-174
Frequently Asked Questions....Pages 175-187
Conclusions....Pages 189-195
Annotated Bibliography....Pages 197-226
Back Matter....Pages 227-254

✦ Subjects

Mathematics Education; Learning & Instruction