Clements & Sarama (2007)

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Early Childhood Mathematics Learning

Outline of Headings

  • Mathematics in Early Childhood
  • Young Children and Mathematics Learning
    • Theoretical Frameworks
  • Number and Quantitative Thinking
    • Introduction to the Early Development of Quantity
    • Subitizing
      • Early Work on Subitizing
      • Nature of the Subitizing Process and the Early Development of Quantity
      • Types of Subitizing
      • Factors Affecting Difficulty of Subitizing Tasks
      • Role of Spontaneous Subitizing in Early Mathematics Development
    • Verbal and Object Counting
      • Verbal Counting
      • Object Counting
      • Zero and Infinity
      • Summary
    • Comparing and Ordering
      • Comparing and Equivalence
      • Ordering and Ordinal Numbers
    • Beginning Addition and Subtraction, and Arithmetic Counting Strategies
      • The Earliest Arithmetic
      • Arithmetic Strategies
      • Summary
      • Education
    • Composing and Decomposing
    • Language, Numerals, and Other Symbols
    • Final Words
  • Geometry and Spatial Reasoning
    • Spatial Thinking
      • Spatial Orientation
      • Spatial Location and Intuitive Navigation
        • Self- and external-based systems
        • Response learning and cue learning
        • Path integration ("dead reckoning")
        • Place learning
        • Selection of systems
        • Hierarchical combination of systems
        • Summary
      • Spatial Thought
        • Development of spatial thought
        • Spatial perspective taking
        • Navigation through large-scale environments
        • The language of space
      • Models and Maps
      • Coordinates and Spatial Reasoning
      • Spatial Visualization and Imagery
      • Education
    • Shape
      • Theories of Young Children's Perception and Knowledge of Shape
      • Thinking and Learning About Specific Shapes
      • 3-D Figures
      • Congruence, Symmetry, and Transformations
      • Education
    • Composition of Shapes
      • Disembedding Shapes
      • Composition and Decomposition
    • Summary and Issues
      • Theoretical Framework
      • Final Words
  • Geometric Measurement
    • Length Measurement
      • Concepts in Linear Measurement
      • Early Development of Length Measurement Concepts
      • Education
    • Area Measurement
    • Conclusion
  • Patterns and Algebraic Thinking
  • Data Analysis
  • Mathematical Processes
    • Reasoning and Problem Solving
    • Classification and Seriation
      • Education
  • Learning and Teaching Contexts
    • Early Childhood Mathematics Education
    • Issues of Equity and Individual Differences
  • Final Words

Also

APA
Clements, D. H., & Sarama, J. (2007). Early childhood mathematics learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 461–555). Charlotte, NC: Information Age.
BibTeX
@incollection{Clements2007,
address = {Charlotte, NC},
author = {Clements, Douglas H. and Sarama, Julie},
booktitle = {Second handbook of research on mathematics teaching and learning},
chapter = {12},
editor = {Lester, Frank K.},
pages = {461--555},
publisher = {Information Age},
title = {{Early childhood mathematics learning}},
year = {2007}
}