Beliefs

by Leder, Gilah C.; Pehkonen, Erkki; Torner, Gunter

• ISBN13: 9781402010576
• ISBN10: 1402010575
• Format: Hardcover
• Copyright: 2003-04-01
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

Tables and Figures	vii
Acknowledgements	xi
Contributors	xiii
Setting the Scene	1	(12)
Gilah C. Leder
Erkki Pehkonen
Gunter Torner
PART 1 BELIEFS: CONCEPTUALIZATION AND MEASUREMENT
Framing Students' Mathematics-Related Beliefs. A Quest for Conceptual Clarity and a Comprehensive Categorization	13	(26)
Peter Op't Eynde
Erik de Corte
Lieven Verschaffel
Rethinking Characterizations of Beliefs	39	(20)
Fulvia Furinghetti
Erkki Pehkonen
Affect, Meta-Affect, and Mathematical Belief Structures	59	(14)
Gerald A. Goldin
Mathematical Beliefs -- A Search for a Common Ground: Some Theoretical Considerations on Structuring Beliefs, Some Research Questions, and Some Phenomenological Observations	73	(22)
Gunter Torner
Measuring Mathematical Beliefs and Their Impact on the Learning of Mathematics: A New Approach	95	(20)
Gilah C. Leder
Helen J. Forgasz
Synthesis - Beliefs and Mathematics Education: Implications For Learning, Teaching, and Research	115	(12)
Douglas B. McLeod
Susan H. McLeod
PART 2 TEACHERS' BELIEFS
Mathematics Teacher Change and Development. The Role of Beliefs	127	(22)
Melvin (Skip) Wilson
Thomas J. Cooney
Mathematics Teachers' Beliefs and Experiences with Innovative Curriculum Materials. The Role of Curriculum in Teacher Development	149	(12)
Gwendolyn M. Lloyd
A Four Year Follow-up Study of Teachers' Beliefs after Participating in a Teacher Enhancement Project	161	(16)
Lynn C. Hart
Belief Structure and Inservice High School Mathematics Teacher Growth	177	(18)
Olive Chapman
Participation and Reification in Learning to Teach: The Role of Knowledge and Beliefs	195	(16)
Salvador Llinares
A Study of the Mathematics Teaching Efficacy Beliefs of Primary Teachers	211	(22)
George Philippou
Constantinos Christou
Situating Research on Mathematics Teachers' Beliefs and on Change	233	(14)
Stephen Lerman
PART 3 STUDENTS' BELIEFS
Beliefs about Mathematics and Mathematics Learning in the Secondary School: Measurement and Implications for Motivation	247	(24)
Peter Kloosterman
``The Answer is Really 4.5'': Beliefs about Word Problems	271	(22)
Brian Greer
Lieven Verschaffel
Erik De Corte
Beliefs about the Nature of Mathematics in the Bridging of Everyday and School Mathematical Practices	293	(20)
Norma Presmeg
Beliefs and Norms in the Mathematics Classroom	313	(18)
Erna Yackel
Chris Rasmussen
Intuitive Beliefs, Formal Definitions and Undefined Operations: Cases of Division by Zero	331	(14)
Pessia Tsamir
Dina Tirosh
Implications of Research on Students' Beliefs for Classroom Practice	345	(10)
Frank K. Lester, Jr.
Index	355