Beliefs: A Hidden Variable in Mathematics Education?

This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

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Tables and Figures. Acknowledgements. Contributors. 1. Setting the Scene; G.C. Leder, et al. Part 1: Beliefs: Conceptualization and Measurement. 2. Framing Students' Mathematics-Related Beliefs. A Quest for Conceptual Clarity and a Comprehensive Categorization; P. Op't Eynde, et al. 3. Rethinking Characterizations of Beliefs; F. Furinghetti, E. Pehkonen. 4. Affect, Meta-Affect, and Mathematical Belief Structures; G.A. Goldin. 5. Mathematical Beliefs A Search for Common Ground: Some Theoretical Considerations on Structuring Beliefs, Some Research Questions, and Some Phenomenological Observations; G. Törner. 6. Measuring Mathematical Beliefs and Their Impact on the Learning of Mathematics: A new Approach; G.H. Leder, H.J. Forgasz. 7. Synthesis Beliefs and Mathematics Education: Implications for Learning, Teaching, and Research; B.B. McLeod, S.H. McLeod. Part 2: Teacher's Beliefs. 8. Mathematics Teacher Change and Development. The Role of Beliefs; M. Wilson, T.J. Cooney. 9. Mathematics Teacher's Beliefs and Experiences with Innovative Curriculum Materials. The Role of Curriculum in Teacher Development; G.M. Lloyd. 10. A Four Year Follow-up Study of Teachers'Beliefs after Participating in a Teacher Enhancement Project; L.C. Hart. 11.Belief Structure and Inservice High School Mathematics Teacher Growth; O. Chapman. 12. Participation and Reification in Learning to Teach: The Role of Knowledge and Beliefs; S. Llinares. 13. A Study of the Mathematics Teaching Efficacy Beliefs of Primary Teachers; G. Philippou, C. Christou. 14. A Study ofthe Mathematics Teaching Efficacy Beliefs and on Change; S. Lerman. Part 3: Students'Beliefs. 15. Beliefs about Mathematics and Mathematics Learning in the Secondary School: Measurement and Implications for Motivation; P. Kloosterman. 16. 'The Answer is Really 4.5': Beliefs about Word Problems; B. greer, et al. 17. Beliefs about the Nature of Mathematics in the Bridging of Everyday and School Mathematical Practices; N. Presmeg. 18. Beliefs and Norms in the Mathematics Classroom; E. Yackel, C. Rasmussen. 19. Intuitive Beliefs, Formal Definitions and Undefined Operations: Cases of Division by Zero; P. Tsamir, D. Tirosh. 20. Implications of Research on Students' Beliefs for Classroom Practice; F.K. Lester Jr. Index