Includes bibliographical references and indexes.

Introduction Part I: Theoretical and Methodological Perspectives on Teachers' Learning through Teaching Chapter 1 Roza Leikin and Rina Zazkis Teachers' opportunities to learn mathematics through teaching Chapter 2 John Mason Attention and intention: Learning about teaching through teaching Chapter 3 Ron Tzur What and How might mathematics teachers learn via teaching: Contributions to closing an unspoken gap Chapter 4 Roza Leikin Learning through teaching though the lens of multiple solution tasks Part II: Examples of Learning through teaching: Pedagogical mathematics Interlude 1 Chapter 5 Rina Zazkis What have I learned: Mathematical insights and pedagogical implication Chapter 6 Marcelo Borba and Rubia B. A. Zulatto Dialogical education and learning mathematics online from teachers. Chapter 7 Carolyn Kieran and Jose Guzman Role of task and technology in provoking teacher change: A case of proofs and proving in high school Algebra Chapter 8 Nick Jackiw and Nathalie Sinclair Learning through teaching when teaching machines: Discursive interaction design in Sketchpad Chapter 13 Robin Marcus and Daniel Chazan What experienced teachers have learned from helping students think about solving equations in the one-variable-first algebra curriculum Part III: Examples of Learning through teaching: Mathematical pedagogy Interlude 2 Chapter 9 Michal Yerushalmy and Shulamit Elikan Exploring reform ideas of teaching Algebra: Analysis of videotaped episodes and conversations about them Chapter 10 Peter Liljedahl On rapid professional growth: cases of learning through teaching Chapter 11 Lara Alcock Interactions between teaching and research: Developing pedagogical content knowledge for Real Analysis Chapter 12 Helen Doerr and Stephen Lerman Teachers learning from their teaching: The case of communicative practices Chapter 14 Dave Hewitt Feedback: Expanding a repertoire and making choices Conclusion.