George Mandler (auth.), Douglas B. McLeod, Verna M. Adams's Affect and Mathematical Problem Solving: A New Perspective PDF

By George Mandler (auth.), Douglas B. McLeod, Verna M. Adams (eds.)

ISBN-10: 1461236142

ISBN-13: 9781461236146

ISBN-10: 1461281784

ISBN-13: 9781461281788

Research on cognitive features of mathematical challenge fixing has made nice growth in recent times, however the dating of affective components to problem-solving functionality has been a missed study zone. the aim of Affect and Mathematical challenge fixing: a brand new Perspective is to teach how the theories and strategies of cognitive technology will be prolonged to incorporate the function of impact in mathematical challenge fixing. The ebook provides Mandler's concept of emotion and explores its implications for the training and instructing of mathematical challenge fixing. additionally, top researchers from arithmetic, schooling, and psychology file how they've got built-in have an effect on into their very own cognitive learn. The reports specialise in metacognitive techniques, aesthetic impacts on specialist challenge solvers, instructor decision-making, know-how and instructing challenge fixing, and ideology approximately arithmetic. the consequences recommend how emotional elements like nervousness, frustration, pleasure, and delight may help or prevent functionality in challenge solving.

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So much of the current mathematics curriculum is designed to develop automatic responses (basic facts and algorithms in arithmetic, for example) that it is not surprising to find students attacking problems in an automatic way. Automaticity is normally a part of cognitive theories (Resnick & Ford, 1981; Shiffrin & Dumais, 1981), but the processing of affective information related to mathematics is also done automatically, in large part. Students who get frustrated by a nonroutine problem, for example, will often just quit; they assume, without really thinking about it, that frustration is a signal to go and get help, rather than a normal part of problem solving.

Other educators have consciously decided to use affective as a general term for beliefs, attitudes, and emotions. Fennema, for example, uses the term affective variables because the early work on attitudes toward mathematics was not careful about the definition or measurement of attitudes, and she prefers to avoid the terms used at that time. In summary, psychologists often use the term affect to indicate hot, gut-level emotional reactions. It is often used by educators to mean a wide variety of beliefs, attitudes, and emotions ranging from cold to hot.

It should also provide those positive experiences that help students enjoy problem solving. DURATION OF THE EMOTION Another important characteristic of affective states is the duration of the emotion (Kagan, 1978). Affective reactions during problem solving are typically intense, but they are relatively short in duration. Students have difficulty persisting in problem solving iftheir reaction is intense and negative, so they tend to quit and reduce the magnitude of the emotion. Students who persist will go from positive emotions (when they feel they are making progress) to negative emotions (when they feel they are blocked), and then back to positive emotions again.

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Affect and Mathematical Problem Solving: A New Perspective by George Mandler (auth.), Douglas B. McLeod, Verna M. Adams (eds.)

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