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APOS Theory
A Framework for Research and Curriculum Development in Mathematics Education
Buch von Ilana Arnon (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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, [...] 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.

Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2013
Fachbereich: Didaktik/Methodik/Schulpädagogik/Fachdidaktik
Genre: Erziehung & Bildung, Importe
Rubrik: Sozialwissenschaften
Medium: Buch
Inhalt: xi
254 S.
ISBN-13: 9781461479659
ISBN-10: 1461479657
Sprache: Englisch
Herstellernummer: 86115587
Einband: Gebunden
Autor: Arnon, Ilana
Cottrill, Jim
Dubinsky, Ed
Weller, Kirk
Roa Fuentes, Solange
Trigueros, Maria
Oktaç, Asuman
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 20 mm
Von/Mit: Ilana Arnon (u. a.)
Erscheinungsdatum: 05.08.2013
Gewicht: 0,571 kg
Artikel-ID: 105940098
Über den Autor

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, [...] 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.

Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2013
Fachbereich: Didaktik/Methodik/Schulpädagogik/Fachdidaktik
Genre: Erziehung & Bildung, Importe
Rubrik: Sozialwissenschaften
Medium: Buch
Inhalt: xi
254 S.
ISBN-13: 9781461479659
ISBN-10: 1461479657
Sprache: Englisch
Herstellernummer: 86115587
Einband: Gebunden
Autor: Arnon, Ilana
Cottrill, Jim
Dubinsky, Ed
Weller, Kirk
Roa Fuentes, Solange
Trigueros, Maria
Oktaç, Asuman
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 20 mm
Von/Mit: Ilana Arnon (u. a.)
Erscheinungsdatum: 05.08.2013
Gewicht: 0,571 kg
Artikel-ID: 105940098
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