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PrefaceResearch on mathematical problem solving has received considerable attention in recent years, not only from those who do research on mathematics learning and teaching, but also from psychologists and others who work in the cognitive sciences. Although most of this research has focused on cognitive factors, there has been a surge of interest in the role of affect in mathematical problem solving. This book explores these affective factors and their relationships to the cognitive processes involved in problem solving. The ideas are of particular interest to those who work in mathematics education, psychology, and other fields that are related to the cognitive sciences.The origins of the book can be found in George Mandler's (1984) theory of emotion and in Edward Silver's (1985) effort to integrate the multiple perspectives that influence research on mathematical problem solving. Therefore, the interdisciplinary mix for this volume includes not only the usual perspectives of mathematics education, cognitive psychology, and artificial intelligence, but also cognitive approaches to clinical and counseling psychology.The book is divided into five parts. The first introduces the basic ideas of Mandler's theory and suggests how the theory can be applied in research on mathematical problem solving. Part II presents five studies of learning that test and extend the theory, and the five chapters in Part III perform the same function in the context of research on teaching. Part IV includes two responses to the theory, one from the viewpoint of mathematics education, and the other from cognitive psychology. Finally, following George Polya's recommendations, Part V is spent "looking back" at the problem of how to build a theory of affective factors in mathematical problem solving.The development of an interdisciplinary volume like this one requires a substantial amount of time both for interaction and reflection by the participants. In this case we were fortunate to have the support of the National Science Foundation for two meetings where the chapter authors and other researchers had a chance to debate the issues and report on their own research. The first meeting was held in May 1986, in San Diego, and focused on presenting and discussing Mandler's theory. Participants also outlined their plans for implementing Mandler's ideas in their own research during the next year. In June 1987, the vi Preface part...