Affect and Mathematical Problem Solving

1. Front Matter

   Pages i-x

   PDF

2. A Theory of Affect for Mathematical Problem Solving

   1. Front Matter

      Pages 1-1

      PDF

   2. Affect and Learning: Causes and Consequences of Emotional Interactions

      • George Mandler

      Pages 3-19

   3. The Role of Affect in Mathematical Problem Solving

      • Douglas B. McLeod

      Pages 20-36

   4. Describing the Affective Domain: Saying What We Mean

      • Laurie E. Hart

      Pages 37-45

3. Studies of Learning

   1. Front Matter

      Pages 47-47

      PDF

   2. Affect in Schema Knowledge: Source and Impact

      • Sandra P. Marshall

      Pages 49-58

   3. Aesthetic Influences on Expert Mathematical Problem Solving

      • Edward A. Silver, Wendy Metzger

      Pages 59-74

   4. Self-Confidence, Interest, Beliefs, and Metacognition: Key Influences on Problem-Solving Behavior

      • Frank K. Lester, Joe Garofalo, Diana Lambdin Kroll

      Pages 75-88

   5. Information Technologies and Affect in Mathematical Experience

      • James J. Kaput

      Pages 89-103

   6. Searching for Affect in the Solution of Story Problems in Mathematics

      • Larry Sowder

      Pages 104-113

4. Studies of Teaching

   1. Front Matter

      Pages 115-115

      PDF

   2. Young Children’s Emotional Acts While Engaged in Mathematical Problem Solving

      • Paul Cobb, Erna Yackel, Terry Wood

      Pages 117-148

   3. Teaching Practices and Student Affect in Problem-Solving Lessons of Select Junior-High Mathematics Teachers

      • Douglas A. Grouws, Kathleen Cramer

      Pages 149-161

   4. Affect and Problem Solving in an Elementary School Mathematics Classroom

      • Alba G. Thompson, Patrick W. Thompson

      Pages 162-176

   5. Affective Factors and Computational Estimation Ability

      • Judith Threadgill Sowder

      Pages 177-191

   6. Affective Issues in Teaching Problem Solving: A Teacher’s Perspective

      • Verna M. Adams

      Pages 192-201

5. Responses to the theory

   1. Front Matter

      Pages 203-203

      PDF

   2. The Study of Affect and Mathematics: A Proposed Generic Model for Research

      • Elizabeth Fennema

      Pages 205-219

   3. Psychological Conceptions of Mathematics and Emotion

      • Barbara A. McDonald

      Pages 220-234

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.

• Action
• Emotion
• Problem Solving
• Problem-solving
• cognitive science
• learning
• linear optimization
• mathematics

• Elementary and Secondary Education, Washington State University, Pullman, USA

  Douglas B. McLeod

• University of Georgia, Athens, USA

  Verna M. Adams

Policies and ethics