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APOS Theory [electronic resource] :A Framework for Research and Curriculum Development in Mathematics Education / by Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, Maria Trigueros, Kirk Weller.

by Arnon, Ilana [author.]; Cottrill, Jim [author.]; Dubinsky, Ed [author.]; Oktaç, Asuman [author.]; Roa Fuentes, Solange [author.]; Trigueros, Maria [author.]; Weller, Kirk [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: New York, NY : Springer New York : 2014.Description: XI, 254 p. 33 illus., 2 illus. in color. online resource.ISBN: 9781461479666.Subject(s): Education | Mathematics | Education | Mathematics Education | Learning & InstructionDDC classification: 370 Online resources: Click here to access online
Contents:
Chapter 1 Introduction -- Chapter 2 From Piaget’s Theory to APOS Theory: Reflective Abstraction in Learning Mathematics and the Historical Development of APOS Theory -- Chapter 3 Mental Structures and Mechanisms: APOS Theory and the Construction of Mathematical Knowledge -- Chapter 4 Genetic Decomposition -- Chapter 5 The Teaching of Mathematics Using APOS Theory -- Chapter 6 The APOS Paradigm for Research and Curriculum Development -- Chapter 7 Schemas, Their Development and Interaction -- Chapter 8 Totality as a Possible New Stage and Levels in APOS Theory -- Chapter 9 Use of APOS Theory to Teach Mathematics at Elementary School -- Chapter 10 Frequently Asked Questions -- Chapter 11 Conclusions -- Chapter 12 Annotated Bibliography -- References -- Index.
In: Springer eBooksSummary: 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.
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Chapter 1 Introduction -- Chapter 2 From Piaget’s Theory to APOS Theory: Reflective Abstraction in Learning Mathematics and the Historical Development of APOS Theory -- Chapter 3 Mental Structures and Mechanisms: APOS Theory and the Construction of Mathematical Knowledge -- Chapter 4 Genetic Decomposition -- Chapter 5 The Teaching of Mathematics Using APOS Theory -- Chapter 6 The APOS Paradigm for Research and Curriculum Development -- Chapter 7 Schemas, Their Development and Interaction -- Chapter 8 Totality as a Possible New Stage and Levels in APOS Theory -- Chapter 9 Use of APOS Theory to Teach Mathematics at Elementary School -- Chapter 10 Frequently Asked Questions -- Chapter 11 Conclusions -- Chapter 12 Annotated Bibliography -- References -- Index.

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.

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