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Learning Through Teaching Mathematics: Development of Teachers' Knowledge and Expertise in Practice

✍ Scribed by Roza Leikin, Rina Zazkis (auth.), Roza Leikin, Rina Zazkis (eds.)


Publisher
Springer Netherlands
Year
2010
Tongue
English
Leaves
299
Series
Mathematics Teacher Education 5
Edition
1
Category
Library

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✦ Synopsis


This volume explores how and when teachers' knowledge develops through teaching. The book presents international views on teachers' learning from their practice; the chapters are written by mathematicians or mathematics educators from Brazil, Canada, Israel, Mexico, UK, and USA. They address diverse content – numerical literacy, geometry, algebra, and real analysis – and a variety of levels – elementary school, secondary school, undergraduate mathematics, and teacher education courses. The authors employ different methodological tools and different theoretical perspectives as they consider teaching in different learning environments: lecturing, small group work on problems and tasks, mathematical explorations with the support of technological software, or e-learning. Despite these differences, the authors exemplify and analyze teachers’ learning that occurred and address the question: "What kinds of knowledge are developed as a result of teaching mathematics and what are the factors that support or impede such development?"

Further, the chapters explore interactions and interrelationships between the enhancement of mathematical and pedagogical knowledge. The important and original contribution of this book is that it ties together the notions of teachers’ knowledge and complexity of teacher’s work, while presenting them from a relatively unexplored perspective – learning through teaching mathematics.

✦ Table of Contents


Front Matter....Pages i-xii
Front Matter....Pages 1-1
Teachers’ Opportunities to Learn Mathematics Through Teaching....Pages 3-21
Attention and Intention in Learning About Teaching Through Teaching....Pages 23-47
How and What Might Teachers Learn Through Teaching Mathematics: Contributions to Closing an Unspoken Gap....Pages 49-67
Learning Through Teaching Through the Lens of Multiple Solution Tasks....Pages 69-85
Front Matter....Pages 87-89
What Have I Learned: Mathematical Insights and Pedagogical Implications....Pages 91-110
Dialogical Education and Learning Mathematics Online from Teachers....Pages 111-125
Role of Task and Technology in Provoking Teacher Change: A Case of Proofs and Proving in High School Algebra....Pages 127-152
Learning Through Teaching, When Teaching Machines: Discursive Interaction Design in Sketchpad....Pages 153-168
What Experienced Teachers Have Learned from Helping Students Think About Solving Equations in the One-Variable-First Algebra Curriculum....Pages 169-187
Front Matter....Pages 189-190
Exploring Reform Ideas for Teaching Algebra: Analysis of Videotaped Episodes and of Conversations About Them....Pages 191-207
On Rapid Professional Growth: Cases of Learning Through Teaching....Pages 209-225
Interactions Between Teaching and Research: Developing Pedagogical Content Knowledge for Real Analysis....Pages 227-245
Teachers Learning from Their Teaching: The Case of Communicative Practices....Pages 247-262
Feedback: Expanding a Repertoire and Making Choices....Pages 263-285
Back Matter....Pages 287-300

✦ Subjects


Mathematics Education; Teaching and Teacher Education; Learning & Instruction; Educational Psychology


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