Table of 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).

She is currently a guest editor of a special issue of the Journal of Mathematics Teacher Education focusing on the nature and role of tasks for teacher education, and the leading author of a chapter in the 2nd International Handbook Professional Development in Mathematics Education: Trends and Tasks.

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.

He is an author of the popular teacher resource Open-ended maths activities: Using good questions to enhance learning that is published in the US asGood questions for math teaching. He is an editor of the Journal of Mathematics Teacher Education.