Skip to main content

Piaget’s Genetic Epistemology for Mathematics Education Research

  • Book
  • © 2024

Overview

  • Introduces the use of Piaget’s Genetic Epistemology for mathematics education research
  • Explains methodological requirements for using Piaget's key constructs of genetic epistemology
  • Summarizes models of student thinking through the lens of Piaget's genetic epistemology
  • Provides the perfect starting point for those hoping to engage with Piaget’s work for the teaching and learning of mathematics

Part of the book series: Research in Mathematics Education (RME)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (21 chapters)

  1. Introduction to Piaget’s Genetic Epistemology and the Tradition of Use Featured in This Book

  2. Key Constructs from Genetic Epistemology Being Used in Ongoing Mathematics Education Research

  3. Commentaries on Genetic Epistemology and Its Use in Ongoing Research

Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Texas State University, San Marcos, USA

    Paul Christian Dawkins

  • Department of Curriculum and Instruction, Indiana University, Bloomington, USA

    Amy J. Hackenberg

  • Department of Mathematics, Virginia Tech, Blacksburg, USA

    Anderson Norton

About the editors

Dr. Paul Christian Dawkins is a Professor of mathematics education at Texas State University, USA. His research focuses on students’ learning of proof-oriented mathematics at the university level, specifically on student understanding of logic, defining, and axioms. Since he began as a professor in 2010, he has published 30 peer-reviewed journal articles and received multiple awards for his work, including the Selden Prize from the Mathematics Association of America. He serves on the editorial board of the Journal of Mathematical Behavior and the International Journal of Research in Undergraduate Mathematics Education.

Dr. Amy J. Hackenberg is a Professor of mathematics education at Indiana University, Bloomington, USA. Her research focuses on how middle school students construct rational number knowledge and algebraic reasoning and the role of units coordination in those processes. She also does research on how to orchestrate mathematics instruction for middle school students at different stages of units coordination, studying her own teaching as well as co-teaching with classroom teachers. She was the recipient of an early career award from the National Science Foundation, and she has earned the Trustees Teaching Award for excellence in teaching four times since she joined the faculty at IU in 2007. She serves on the Advisory Board of the journal For the Learning of Mathematics.

Dr. Anderson Norton is a Professor of mathematics education in the Department of Mathematics at Virginia Tech. USA. His research focuses on building psychological models of students’ mathematical development—particularly in the domain of fractions knowledge—and epistemology of mathematics. He has served as chair for the editorial panel of the Journal for Research in Mathematics Education, chair of the steering committee for the North American Chapter of the International Group for the Psychology of Mathematics Education, and lead editor for the Springer book, Constructing Number. In 2013, in recognition of his outreach efforts, he received the Early Career Award from the Association of Mathematics Teacher Educators.

Bibliographic Information

  • Book Title: Piaget’s Genetic Epistemology for Mathematics Education Research

  • Editors: Paul Christian Dawkins, Amy J. Hackenberg, Anderson Norton

  • Series Title: Research in Mathematics Education

  • DOI: https://doi.org/10.1007/978-3-031-47386-9

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Hardcover ISBN: 978-3-031-47385-2Published: 03 January 2024

  • Softcover ISBN: 978-3-031-47388-3Due: 22 January 2024

  • eBook ISBN: 978-3-031-47386-9Published: 02 January 2024

  • Series ISSN: 2570-4729

  • Series E-ISSN: 2570-4737

  • Edition Number: 1

  • Number of Pages: XVII, 617

  • Number of Illustrations: 40 b/w illustrations, 72 illustrations in colour

  • Topics: Mathematics Education, Educational Philosophy

Publish with us