Salvador Llinares is Professor of Mathematics Education at University of Alicante, Spain. He has participated in the Encyclopedia of Mathematics Education (Springer, 2014), the International Encyclopedia of Education (Elsevier, 2010) and serves as associate editor of the Journal of Mathematics Teacher Education.Olive Chapman is Professor of Mathematics Education at the University of Calgary, Canada. She served as editor-in-chief of the Journal of Mathematics Teacher Education and a member of the Board of Directors of the National Council of Teachers of Mathematics.

• PrefaceOlive ChapmanList of Figures and TablesTools and Ways of Thinking in Mathematics Teacher Education: An IntroductionSalvador LlinaresPart 1: Video, Tasks to Promote Reflective Skills and Lesson De-Brief Conversations as Tools in Mathematics Teacher Education1. Leveraging the Power of Video for Teacher Learning: A Design Framework for Mathematics Teacher EducatorsElizabeth A. van Es, Miray Tekkumru-Kisa and Nanette Seago2. Tasks Promoting Prospective Mathematics Teachers’ Reflective Skills: Focus on Individual DifferencesNaïa Vondrová3. Learning to Teach Mathematics: The Lesson De-Brief ConversationJulian Brown, Laurinda Brown, Alf Coles and Tracy HelliwellPart 2: Technological Tools and Technological Mediation in Mathematics Teacher Education4. Technology as a Curricular InstrumentAngel Ruiz5. Digital Curriculum Resources in/for Mathematics Teacher Learning: A Documentational Approach PerspectiveGhislaine Gueudet and Birgit Pepin6. Prospective and Practicing Teachers and the Use of Digital Technologies in Mathematical Problem-Solving ApproachesManuel Santos-Trigo7. Computational Modelling in Elementary Mathematics Teacher EducationGeorge Gadanidis, Janette M. Hughes, Immaculate Namukasa and Ricardo Scucuglia8. Technology Tools for Mathematics Teacher Learning: How Might They Support the Development of Capacity for Specific Teaching Assignments?Patricio Herbst, Daniel Chazan and Amanda MilewskiPart 3: Conceptual Instrumentation in Mathematics Teacher Education: Learning to Use Theories to Analyze Teaching9. The Fractal Complexity of Using Theories in Mathematics Teacher Education: Issues and Debates, Opportunities and LimitationsElisabeta Eriksen and Annette Hessen Bjerke10. Controlled Implementations: Teaching Practice to Practicing Mathematics TeachersPaola Sztajn, Lara Dick, Reema Alnizami, Dan Heck and Kristen Malzahn11. Noticing as a Tool to Analyze Mathematics Instruction and LearningJulie Amador12. Theoretical Lenses to Develop Mathematics Teacher Noticing: Learning, Teaching, Psychological, and Social PerspectivesCeneida Fernández and Ban Heng Choy13. Transcending Contemporary Obsessions: The Development of a Model for Teacher Professional DevelopmentPaulino Preciado-Babb, Martina Metz, Brent Davis and Soroush SabbaghanPart 4: Crosscutting Issues on Tools and Processes in Mathematics Teacher Education14. Using Professional Development Contexts to Structure Prospective Teacher EducationJosé Carrillo, Nuria Climent, Luis C. Contreras and Miguel Montes15. From Tools to Resources in the Professional Development of Mathematics Teachers: General Perspectives and Crosscutting IssuesAbraham ArcaviIndex

Salvador Llinares is Professor of Mathematics Education at University of Alicante, Spain. He has participated in the Encyclopedia of Mathematics Education (Springer, 2014), the International Encyclopedia of Education (Elsevier, 2010) and serves as associate editor of the Journal of Mathematics Teacher Education.Olive Chapman is Professor of Mathematics Education at the University of Calgary, Canada. She served as editor-in-chief of the Journal of Mathematics Teacher Education and a member of the Board of Directors of the National Council of Teachers of Mathematics.

• PrefaceOlive ChapmanList of Figures and TablesTools and Ways of Thinking in Mathematics Teacher Education: An IntroductionSalvador LlinaresPart 1: Video, Tasks to Promote Reflective Skills and Lesson De-Brief Conversations as Tools in Mathematics Teacher Education1. Leveraging the Power of Video for Teacher Learning: A Design Framework for Mathematics Teacher EducatorsElizabeth A. van Es, Miray Tekkumru-Kisa and Nanette Seago2. Tasks Promoting Prospective Mathematics Teachers’ Reflective Skills: Focus on Individual DifferencesNaïa Vondrová3. Learning to Teach Mathematics: The Lesson De-Brief ConversationJulian Brown, Laurinda Brown, Alf Coles and Tracy HelliwellPart 2: Technological Tools and Technological Mediation in Mathematics Teacher Education4. Technology as a Curricular InstrumentAngel Ruiz5. Digital Curriculum Resources in/for Mathematics Teacher Learning: A Documentational Approach PerspectiveGhislaine Gueudet and Birgit Pepin6. Prospective and Practicing Teachers and the Use of Digital Technologies in Mathematical Problem-Solving ApproachesManuel Santos-Trigo7. Computational Modelling in Elementary Mathematics Teacher EducationGeorge Gadanidis, Janette M. Hughes, Immaculate Namukasa and Ricardo Scucuglia8. Technology Tools for Mathematics Teacher Learning: How Might They Support the Development of Capacity for Specific Teaching Assignments?Patricio Herbst, Daniel Chazan and Amanda MilewskiPart 3: Conceptual Instrumentation in Mathematics Teacher Education: Learning to Use Theories to Analyze Teaching9. The Fractal Complexity of Using Theories in Mathematics Teacher Education: Issues and Debates, Opportunities and LimitationsElisabeta Eriksen and Annette Hessen Bjerke10. Controlled Implementations: Teaching Practice to Practicing Mathematics TeachersPaola Sztajn, Lara Dick, Reema Alnizami, Dan Heck and Kristen Malzahn11. Noticing as a Tool to Analyze Mathematics Instruction and LearningJulie Amador12. Theoretical Lenses to Develop Mathematics Teacher Noticing: Learning, Teaching, Psychological, and Social PerspectivesCeneida Fernández and Ban Heng Choy13. Transcending Contemporary Obsessions: The Development of a Model for Teacher Professional DevelopmentPaulino Preciado-Babb, Martina Metz, Brent Davis and Soroush SabbaghanPart 4: Crosscutting Issues on Tools and Processes in Mathematics Teacher Education14. Using Professional Development Contexts to Structure Prospective Teacher EducationJosé Carrillo, Nuria Climent, Luis C. Contreras and Miguel Montes15. From Tools to Resources in the Professional Development of Mathematics Teachers: General Perspectives and Crosscutting IssuesAbraham ArcaviIndex

Salvador Llinares is Professor of Mathematics Education at University of Alicante, Spain. He has participated in the Encyclopedia of Mathematics Education (Springer, 2014), the International Encyclopedia of Education (Elsevier, 2010) and serves as associate editor of the Journal of Mathematics Teacher Education.Olive Chapman is Professor of Mathematics Education at the University of Calgary, Canada. She served as editor-in-chief of the Journal of Mathematics Teacher Education and a member of the Board of Directors of the National Council of Teachers of Mathematics.

• PrefaceOlive ChapmanList of Figures and TablesTools and Ways of Thinking in Mathematics Teacher Education: An IntroductionSalvador LlinaresPart 1: Video, Tasks to Promote Reflective Skills and Lesson De-Brief Conversations as Tools in Mathematics Teacher Education1. Leveraging the Power of Video for Teacher Learning: A Design Framework for Mathematics Teacher EducatorsElizabeth A. van Es, Miray Tekkumru-Kisa and Nanette Seago2. Tasks Promoting Prospective Mathematics Teachers’ Reflective Skills: Focus on Individual DifferencesNaïa Vondrová3. Learning to Teach Mathematics: The Lesson De-Brief ConversationJulian Brown, Laurinda Brown, Alf Coles and Tracy HelliwellPart 2: Technological Tools and Technological Mediation in Mathematics Teacher Education4. Technology as a Curricular InstrumentAngel Ruiz5. Digital Curriculum Resources in/for Mathematics Teacher Learning: A Documentational Approach PerspectiveGhislaine Gueudet and Birgit Pepin6. Prospective and Practicing Teachers and the Use of Digital Technologies in Mathematical Problem-Solving ApproachesManuel Santos-Trigo7. Computational Modelling in Elementary Mathematics Teacher EducationGeorge Gadanidis, Janette M. Hughes, Immaculate Namukasa and Ricardo Scucuglia8. Technology Tools for Mathematics Teacher Learning: How Might They Support the Development of Capacity for Specific Teaching Assignments?Patricio Herbst, Daniel Chazan and Amanda MilewskiPart 3: Conceptual Instrumentation in Mathematics Teacher Education: Learning to Use Theories to Analyze Teaching9. The Fractal Complexity of Using Theories in Mathematics Teacher Education: Issues and Debates, Opportunities and LimitationsElisabeta Eriksen and Annette Hessen Bjerke10. Controlled Implementations: Teaching Practice to Practicing Mathematics TeachersPaola Sztajn, Lara Dick, Reema Alnizami, Dan Heck and Kristen Malzahn11. Noticing as a Tool to Analyze Mathematics Instruction and LearningJulie Amador12. Theoretical Lenses to Develop Mathematics Teacher Noticing: Learning, Teaching, Psychological, and Social PerspectivesCeneida Fernández and Ban Heng Choy13. Transcending Contemporary Obsessions: The Development of a Model for Teacher Professional DevelopmentPaulino Preciado-Babb, Martina Metz, Brent Davis and Soroush SabbaghanPart 4: Crosscutting Issues on Tools and Processes in Mathematics Teacher Education14. Using Professional Development Contexts to Structure Prospective Teacher EducationJosé Carrillo, Nuria Climent, Luis C. Contreras and Miguel Montes15. From Tools to Resources in the Professional Development of Mathematics Teachers: General Perspectives and Crosscutting IssuesAbraham ArcaviIndex