APOS Theory
A Framework for Research and Curriculum Development in Mathematics Education
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Beschreibung
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.
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.
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
Autor*in
Ilana Arnon
Themen in »APOS Theory«
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
Stimmen zu »APOS Theory«
“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)
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