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Piaget’s Genetic Epistemology for Mathematics Education Research / edited by Paul Christian Dawkins, Amy J. Hackenberg, Anderson Norton.

Springer Nature - Springer Education eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Dawkins, Paul Christian.
Contributor:
Hackenberg, Amy J.
Norton, Anderson.
Series:
Research in Mathematics Education, 2570-4737
Language:
English
Subjects (All):
Mathematics--Study and teaching.
Mathematics.
Education--Philosophy.
Education.
Mathematics Education.
Educational Philosophy.
Local Subjects:
Mathematics Education.
Educational Philosophy.
Physical Description:
1 online resource (620 pages)
Edition:
1st ed. 2024.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2024.
Summary:
The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.
Contents:
Section 1. Introduction to Piaget’s genetic epistemology and the tradition of use featured in this book
Chapter 1) Introduction to Piaget’s Genetic Epistemology
Chapter 2) An Historical Reflection on Adapting Piaget’s Work for Ongoing Mathematics Education Research
Section 2. Key constructs from genetic epistemology being used in ongoing mathematics education research
Chapter 3) Schemes and Scheme Theory: Core Explanatory Constructs for Studying Mathematical Learning
Chapter 4) Operationalizing Figurative and Operative Framings of Thought
Chapter 5) Figurative and Operative Imagery: Essential Aspects of Reflection in the Development of Schemes and Meanings
Chapter 6) Empirical and Reflective Abstraction
Chapter 7) Group and Group-like Structures
Chapter 8) Reflected Abstraction
Chapter 9) The Construct of Decentering in Research on Mathematics Learning and Teaching
Chapter 10) Logic in Genetic Epistemology
Chapter 11) Units Coordination
Chapter 12) Modeling Quantitative and Covariational Reasoning
Section 3. Commentaries on genetic epistemology and its use in ongoing research
Chapter 13) Genetic Epistemology as a Complex and Unified Theory of Knowing
Chapter 14) Second-Order Models as Acts of Equity
Chapter 15) Reflections on the Power of Genetic Epistemology by the Modern Cognitive Psychologist
Chapter 16) Skepticism and Constructivism
Section 4. Using constructs from genetic epistemology to develop agendas of research
Chapter 17) Researching Special Education: Using and Expanding Upon Genetic Epistemology Constructs – Jessica Hunt
Chapter 18) Research in Subitizing to Examine Early Number Construction
Chapter 19) Researching Coordinate Systems Using Genetic Epistemology Constructs
Chapter 20) Researching Quantifications of Angularity Using Genetic Epistemology Constructs
Chapter 21) UsingConstructivism to Develop an Agenda of Research in Stochastics Education Research.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
9783031473869
3031473868
OCLC:
1417079180

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