Description 
1 online resource 
Series 
Research in mathematics education 

Research in mathematics education (Springer (Firm))

Contents 
Mathematics in Action  Subitizing: The Neglected Quantifier  Discerning a Progression in Conceptions of Magnitude During Children's Construction of Number  Spontaneous mathematical focusing tendencies in mathematical development and education  Leveraging Relational Learning Mechanisms to Improve Understanding of Place Value  The complexity of basic number processing: A commentary from a neurocognitive perspective  Understanding Fractions: Integrating Results from Mathematics Education, Cognitive Psychology, and Neuroscience  Developing Fractions as Multiplicative Relations: A Model of Cognitive Reorganization  Developing a Concept of Multiplication of Fractions: Building on Constructivist and Sociocultural Theory  What's Perception got to do with it? Reframing Foundations for Rational Number Concepts  Commentary on Fractions  Understanding Negative Numbers  Integers as Directed Quantities  Cognitive Science Foundations of Integer Understanding and Instruction  Commentary on Negative Numbers: Aspects of Epistemology, Cognition, and Instruction  Commentary on Negative Numbers: Aspects of Epistemology, Cognition, and Instruction  Author index  Subject index 
Summary 
The book synergizes research on number across two disciplinesmathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children's activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on coauthored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children's activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists 
Notes 
Online resource; title from digital title page (viewed on February 14, 2019) 
Subject 
Mathematics  Psychological aspects


Mathematics  Psychological aspects.

Form 
Electronic book

Author 
Alibali, Martha Wagner, editor


Norton, Anderson, editor

ISBN 
3030004910 

9783030004910 
