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  • 1
    Online Resource
    Online Resource
    Dordrecht : Springer Science+Business Media B.V
    ISBN: 9789048197293
    Language: English
    Pages: Online-Ressource (XXIV, 246p. 20 illus, digital)
    Series Statement: Mathematics Education Library 48
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Buchausg. u.d.T.
    Keywords: Mathematics ; Education ; Education ; Mathematics
    Abstract: Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb's own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb's contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb's work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics, He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his 'new ways of looking' useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb's work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers' constant pursuit of new insights.
    Description / Table of Contents: Foreword; Cobbs, and the Fields, Learning Trajectory; The Scientific Quality of Cobbs Research; References; Acknowledgments; Contents; Contributors; About Paul Cobb; About the Contributors; 1 Introduction; References; Part I Radical Constructivism; 2 Introduction; 3 The Constructivist Researcher as Teacher and Model Builder; Part II Social Constructivism; 4 Introduction; 5 Young Childrens Emotional Acts While Engaged in Mathematical Problem Solving; Part III Symbolizing and Instructional Design Developing Instructional Sequences to Support Students Mathematical Learning; 6 Introduction
    Description / Table of Contents: 7 Learning from Distributed Theories of IntelligencePart IV Classroom Mathematical Practices; 8 Introduction; 9 Participating in Classroom Mathematical Practices; Part V Diversity and Equity; 10 Introduction; 11 Culture, Identity, and Equity in the Mathematics Classroom; Part VI The Institutional Setting of Mathematics Teaching and Learning; 12 Introduction; 13 The Collective Mediation of a High-Stakes Accountability Program: Communities and Networks of Practice; 14 Epilogue: On the Importance of Looking Back; Author Index; Subject Index;
    Note: Description based upon print version of record
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 2
    ISBN: 9789401731942
    Language: English
    Pages: Online-Ressource (IV, 308 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Mathematics Education Library 30
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Education ; Curriculum planning ; Mathematics ; Learning. ; Instruction. ; Curriculums (Courses of study). ; Mathematics—Study and teaching . ; Education—Curricula. ; Learning, Psychology of.
    Abstract: The almost universal rejection of the notion of symbols as `carriers of meaning' has created the need to find an alternative for the use of models as embodiments of mathematical concepts. By taking its point of departure as a concern for the way students actually use tools and symbols, and for what these signify for them, this book explores the option of building on symbolizing, modelling and tool use as personally meaningful activities of students. This theme is approached from different angles and different perspectives. One dimension is that of setting, varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction. Another dimension is the theoretical framework of the researcher, varying from constructivism, to activity theory, cognitive-psychology and instructional-design theory. This book will appeal to a wide audience, varying from researchers, instructional designers, educators, and graduate students
    URL: Volltext  (lizenzpflichtig)
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