Ebook: Affect and Mathematical Problem Solving: A New Perspective

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.

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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.

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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.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Affect and Learning: Causes and Consequences of Emotional Interactions....Pages 3-19
The Role of Affect in Mathematical Problem Solving....Pages 20-36
Describing the Affective Domain: Saying What We Mean....Pages 37-45
Front Matter....Pages 47-47
Affect in Schema Knowledge: Source and Impact....Pages 49-58
Aesthetic Influences on Expert Mathematical Problem Solving....Pages 59-74
Self-Confidence, Interest, Beliefs, and Metacognition: Key Influences on Problem-Solving Behavior....Pages 75-88
Information Technologies and Affect in Mathematical Experience....Pages 89-103
Searching for Affect in the Solution of Story Problems in Mathematics....Pages 104-113
Front Matter....Pages 115-115
Young Children’s Emotional Acts While Engaged in Mathematical Problem Solving....Pages 117-148
Teaching Practices and Student Affect in Problem-Solving Lessons of Select Junior-High Mathematics Teachers....Pages 149-161
Affect and Problem Solving in an Elementary School Mathematics Classroom....Pages 162-176
Affective Factors and Computational Estimation Ability....Pages 177-191
Affective Issues in Teaching Problem Solving: A Teacher’s Perspective....Pages 192-201
Front Matter....Pages 203-203
The Study of Affect and Mathematics: A Proposed Generic Model for Research....Pages 205-219
Psychological Conceptions of Mathematics and Emotion....Pages 220-234
Front Matter....Pages 235-235
Affect and Learning: Reflections and Prospects....Pages 237-244
Beliefs, Attitudes, and Emotions: New Views of Affect in Mathematics Education....Pages 245-258
Back Matter....Pages 259-268

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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.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Affect and Learning: Causes and Consequences of Emotional Interactions....Pages 3-19
The Role of Affect in Mathematical Problem Solving....Pages 20-36
Describing the Affective Domain: Saying What We Mean....Pages 37-45
Front Matter....Pages 47-47
Affect in Schema Knowledge: Source and Impact....Pages 49-58
Aesthetic Influences on Expert Mathematical Problem Solving....Pages 59-74
Self-Confidence, Interest, Beliefs, and Metacognition: Key Influences on Problem-Solving Behavior....Pages 75-88
Information Technologies and Affect in Mathematical Experience....Pages 89-103
Searching for Affect in the Solution of Story Problems in Mathematics....Pages 104-113
Front Matter....Pages 115-115
Young Children’s Emotional Acts While Engaged in Mathematical Problem Solving....Pages 117-148
Teaching Practices and Student Affect in Problem-Solving Lessons of Select Junior-High Mathematics Teachers....Pages 149-161
Affect and Problem Solving in an Elementary School Mathematics Classroom....Pages 162-176
Affective Factors and Computational Estimation Ability....Pages 177-191
Affective Issues in Teaching Problem Solving: A Teacher’s Perspective....Pages 192-201
Front Matter....Pages 203-203
The Study of Affect and Mathematics: A Proposed Generic Model for Research....Pages 205-219
Psychological Conceptions of Mathematics and Emotion....Pages 220-234
Front Matter....Pages 235-235
Affect and Learning: Reflections and Prospects....Pages 237-244
Beliefs, Attitudes, and Emotions: New Views of Affect in Mathematics Education....Pages 245-258
Back Matter....Pages 259-268
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