Cognitive Foundations for Improving Mathematical Learning

David C. Geary, Daniel B. Berch, Kathleen Mann Koepke

• Publisher: Academic Press
• Year: 2019
• ISBN:
  9780128159538
• Topic: Psychology
• Subtopic: Applied Psychology
• Index: Psychology

The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout.

• Identifies the relative influence of school and family on math learning
• Discusses the efficacy of numerical play for improvement in math
• Features learning trajectories in math
• Examines the role of math language in numeracy skills
• Includes assessments of math skills
• Explores the role of cognition in treating math-based learning difficulties

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• Contributors
• Foreword: Cognitive Foundations for Improving Mathematical Learning
• Preface
• Chapter 1: Introduction: Cognitive Foundations for Improving Mathematical Learning
• Chapter 2: The Effects of SES, Grade-Repeating, and IQ in a Game-Based Approximate Math Intervention
• Chapter 3: Role of Play and Games in Building Children's Foundational Numerical Knowledge
• Chapter 4: Understanding the Link Between the Approximate Number System and Math Abilities
• Chapter 5: Mathematical Development in the Early Home Environment
• Chapter 6: From Cognition to Curriculum to Scale
• Chapter 7: Development of Mathematical Language in Preschool and Its Role in Learning Numeracy Skills
• Chapter 8: Early Numeracy Skills Learning and Learning Difficulties—Evidence-based Assessment and Interventions
• Chapter 9: Improving the Mathematical Knowledge of At-Risk Preschool Children: Two Approaches to Intensifying Early Math Intervention
• Chapter 10: The Use of Analogies in Mathematics Instruction: Affordances and Challenges
• Chapter 11: The Role of Visual Representations in Mathematical Word Problems
• Chapter 12: The Role of Cognitive Processes in Treating Mathematics Learning Difficulties
• Chapter 13: Explanations and Implications of Diminishing Intervention Impacts Across Time
• Index