Beliefs: A Hidden Variable in Mathematics Education? / Edition 1

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The twenty chapters in this book all focus on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The book is divided into three, partly overlapping, sections. The first concentrates on conceptualizations and measurement of beliefs, the second on research about teachers' beliefs, and the third on facets of students' beliefs about mathematics. A diversity of instruments is used for data collection, including surveys, interviews, observations, and essay writing, as well as more innovative approaches. The volume is intended for researchers in the fleld, as well as for mathematics educators teaching the next generation of students. The book is also useful for those working in other subject disciplines, since many of the themes explored have relevance well beyond mathematics education.

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Product Details

  • ISBN-13: 9781402010576
  • Publisher: Springer Netherlands
  • Publication date: 1/31/2003
  • Series: Mathematics Education Library Series, #31
  • Edition description: 2002
  • Edition number: 1
  • Pages: 364
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.88 (d)

Table of Contents

Tables and Figures
Ch. 1 Setting the Scene 1
Ch. 2 Framing Students' Mathematics-Related Beliefs. A Quest for Conceptual Clarity and a Comprehensive Categorization 13
Ch. 3 Rethinking Characterizations of Beliefs 39
Ch. 4 Affect, Meta-Affect, and Mathematical Belief Structures 59
Ch. 5 Mathematical Beliefs - A Search for a Common Ground: Some Theoretical Considerations on Structuring Beliefs, Some Research Questions, and Some Phenomenological Observations 73
Ch. 6 Measuring Mathematical Beliefs and Their Impact on the Learning of Mathematics: A New Approach 95
Ch. 7 Synthesis - Beliefs and Mathematics Education: Implications For Learning, Teaching, and Research 115
Ch. 8 Mathematics Teacher Change and Development. The Role of Beliefs 127
Ch. 9 Mathematics Teachers' Beliefs and Experiences with Innovative Curriculum Materials. The Role of Curriculum in Teacher Development 149
Ch. 10 A Four Year Follow-up Study of Teachers' Beliefs after Participating in a Teacher Enhancement Project 161
Ch. 11 Belief Structure and Inservice High School Mathematics Teacher Growth 177
Ch. 12 Participation and Reification in Learning to Teach: The Role of Knowledge and Beliefs 195
Ch. 13 A Study of the Mathematics Teaching Efficacy Beliefs of Primary Teachers 211
Ch. 14 Situating Research on Mathematics Teachers' Beliefs and on Change 233
Ch. 15 Beliefs about Mathematics and Mathematics Learning in the Secondary School: Measurement and Implications for Motivation 247
Ch. 16 "The Answer is Really 4.5": Beliefs about Word Problems 271
Ch. 17 Beliefs about the Nature of Mathematics in the Bridging of Everyday and School Mathematical Practices 293
Ch. 18 Beliefs and Norms in the Mathematics Classroom 313
Ch. 19 Intuitive Beliefs, Formal Definitions and Undefined Operations: Cases of Division by Zero 331
Ch. 20 Implications of Research on Students' Beliefs for Classroom Practice 345
Index 355
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