Constructing Knowledge for Teaching Secondary Mathematics - Tasks to enhance prospective and practicing teacher learning

Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents.

This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice).

This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

List of contents

From the contents:
- Introduction
- Varying, Adapting and Considering Alternatives
- Classification and Noticing Similarities and Differences
- Conflict, Dilemmas and Their Resolution
- Designing and Solving Problems
- Learning from the Study of Practice
- Selecting and Using Appropriate Tools for Teaching
- Identifying and Overcoming Barriers to Student Learning and Becoming Sensitive to Students' Thinking and Inventive Ideas
- Sharing and Revealing Self, Peer, and Student Dispositions
- Summary

About the author

Orit Zaslavsky is an Associate Professor of Mathematics Education at the Department of Education in Technology and Science, Technion - Israel Institute of Technology. She directed several wide scope national professional development projects for secondary mathematics teachers, and teaches undergraduate and graduate courses for prospective and practicing mathematics teachers. Her main research and development projects include: The Interplay between Teachers' Use of Instructional Examples in Mathematics and Students' Learning (3-year study funded by the Israel Science Foundation); and a 5-year national program for promoting excellence and motivating and advancing the potential of high achieving students in learning mathematics (the program focuses on the preparation of secondary teachers to meet these goals).

Peter Sullivan is Professor of Science, Mathematics, and Information Technology Education in Monash University. His main professional achievements are in the field of research. Some major research projects include the Early Numeracy Research Project, and three Australian Research Council (ARC) funded projects: Overcoming barriers in mathematics learning project; the Using interactive media in enhancing teachers' awareness of key characteristics of effecting teaching project; and the Maximizing success in mathematics for disadvantaged students project.
He is a member of the Australian Research Council College of Experts for Social Behavioral and Economic Sciences

Summary

Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents.

This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice).

This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

Product details

• Assisted by: Sullivan (Editor), Sullivan (Editor), Peter Sullivan (Editor), Ori Zaslavsky (Editor), Orit Zaslavsky (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 31.07.2011
• EAN: 9780387098111
• ISBN: 978-0-387-09811-1
• No. of pages: 330
• Weight: 634 g
• Illustrations: X, 330 p.
• Series: Mathematics Teacher Education; Mathematics Teacher Education
• Subject: Humanities, art, music > Education > Adult education