Mathematics Teachers Engaging with Representations of Practice

Abstract

Intro; Reflecting on Representations Which Reflect Practiceâ#x80;#x94;A Preface; Contents; 1 Representations of Practice in Teacher Education and Researchâ#x80;#x94;Spotlights on Different Approaches; Abstract; References; 2 Representations of Practice to Support Teacher Instruction: Video Case Mathematics Professional Development; Abstract; Introduction; Noticing as a Conceptual Frame; LTG Video Case Materials and Design; The LTG Efficacy Study; Data Collection and Analysis; Findings; Generative User Example; Transformative User Example; Incremental User Example; Non User Example; Conclusions; References 3 A Situated Approach to Assess Teachersâ#x80;#x99; Professional Competencies Using Classroom VideosAbstract; Introduction; Theoretical Background; Teachersâ#x80;#x99; Expertise and Teacher Noticing; Teachersâ#x80;#x99; Professional Knowledge and Its Connection to Teachersâ#x80;#x99; Noticing; Research Question; Methodological Approach; The TEDS-Follow-Up Study; Data Sampling and Data Analysis; Results; Summary, Discussion and Conclusions; References; 4 Representations of Practice in a Video-Based In-Service Teacher Professional Development Project and in Its Evaluation; Abstract; Introduction; Theoretical Background Representations of Practice in Video Format and Their Potential Role for Professional DevelopmentAddressing Components of Professional Knowledge with Representations of Practice; Supporting Teachersâ#x80;#x99; Knowledge and Views Related to Classroom Interaction with Representations of Practice; A Specific Video-Based PD Project; Evaluation Research; Research Questions for the Review of the Professional Development Project and Its Evaluation; The Intervention: Design of the PD Projectâ#x80;#x99;s Video-Based Work with Representations of Classroom Situations Design and Methods of the Evaluation Research: Investigating Teachersâ#x80;#x99; Situation-Specific Views with the Use of Representations of PracticeResults of the Evaluation Research: Evidence Indicating Development of the Teachersâ#x80;#x99; Situation-Specific Views; Reflection, Discussion and Conclusions; References; 5 Concept Cartoons as a Representation of Practice; Abstract; Introduction; Background of the Research; Teachers and Their Knowledge; Concept Cartoons; Concept Cartoons as a Representation of Practice and a Diagnostic Tool; Preparatory Study; The First Stage; The Second Stage; Main Survey Participants and Data CollectionData Analysis; General Findings; Illustrative Data Excerpts; Discussion; Conclusion; Acknowledgements; References; 6 Simulations as a Tool for Practicing Questioning; Abstract; Introduction; Background; Questioning Practices; Learning to Ask Better Questions; Representations of Practice; Methods; Participants; Data Collected from the Simulations; Data and Analysis; Results; Impact of the Simulated Experiences on PSTsâ#x80;#x99; Question Preferences; Important Features of the Experiences; Discussion; Conclusion and Future Considerations; Acknowledgements; References