Beliefs : a hidden variable in mathematics education? / edited by Gilah C. Leder, Erkki Pehkonen, and Günter Törner.

Format:

Book

Contributor:

Leder, Gilah C.

Pehkonen, Erkki.

Törner, Günter, 1947-

Series:

Mathematics education library ; v. 31.

Mathematics education library ; v. 31

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Belief and doubt.

Physical Description:

xix, 362 pages : illustrations ; 25 cm.

Place of Publication:

Dordrecht ; Boston : Kluwer Academic Publishers, [2002]

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.

Contents:

Chapter 1 Setting the Scene / Gilah C. Leder, Erkki Pehkonen, Gunter Torner 1

Part 1 Beliefs: Conceptualization and Measurement

Chapter 2 Framing Students' Mathematics-Related Beliefs. A Quest for Conceptual Clarity and a Comprehensive Categorization / Peter Op't Eynde, Erik de Corte, Lieven Verschaffel 13

Chapter 3 Rethinking Characterizations of Beliefs / Fulvia Furinghetti, Erkki Pehkonen 39

Chapter 4 Affect, Meta-Affect, and Mathematical Belief Structures / Gerald A. Goldin 59

Chapter 5 Mathematical Beliefs

A Search for a Common Ground: Some Theoretical Considerations on Structuring Beliefs, Some Research Questions, and Some Phenomenological Observations / Gunter Torner 73

Chapter 6 Measuring Mathematical Beliefs and Their Impact on the Learning of Mathematics: A New Approach / Gilah C. Leder, Helen J. Forgasz 95

Chapter 7 Synthesis - Beliefs and Mathematics Education: Implications For Learning, Teaching, and Research / Douglas B. McLeod, Susan H. McLeod 115

Part 2 Teachers' Beliefs

Chapter 8 Mathematics Teacher Change and Development. The Role of Beliefs / Melvin (Skip) Wilson, Thomas J. Cooney 127

Chapter 9 Mathematics Teachers' Beliefs and Experiences with Innovative Curriculum Materials. The Role of Curriculum in Teacher Development / Gwendolyn M. Lloyd 149

Chapter 10 A Four Year Follow-up Study of Teachers' Beliefs after Participating in a Teacher Enhancement Project / Lynn C. Hart 161

Chapter 11 Belief Structure and Inservice High School Mathematics Teacher Growth / Olive Chapman 177

Chapter 12 Participation and Reification in Learning to Teach: The Role of Knowledge and Beliefs / Salvador Llinares 195

Chapter 13 A Study of the Mathematics Teaching Efficacy Beliefs of Primary Teachers / George Philippou, Constantinos Christou 211

Chapter 14 Situating Research on Mathematics Teachers' Beliefs and on Change / Stephen Lerman 233

Part 3 Students' Beliefs

Chapter 15 Beliefs about Mathematics and Mathematics Learning in the Secondary School: Measurement and Implications for Motivation / Peter Kloosterman 247

Chapter 16 "The Answer is Really 4.5": Beliefs about Word Problems / Brian Greer, Lieven Verschaffel, Erik De Corte 271

Chapter 17 Beliefs about the Nature of Mathematics in the Bridging of Everyday and School Mathematical Practices / Norma Presmeg 293

Chapter 18 Beliefs and Norms in the Mathematics Classroom / Erna Yackel, Chris Rasmussen 313

Chapter 19 Intuitive Beliefs, Formal Definitions and Undefined Operations: Cases of Division by Zero / Pessia Tsamir, Dina Tirosh 331

Chapter 20 Implications of Research on Students' Beliefs for Classroom Practice / Frank K. Lester, Jr. 345.

Notes:

Includes bibliographical references and index.

ISBN:

1402010575

1402010583

OCLC:

51178271