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Edd V. Taylor and Elizabeth Dyer

The purpose of this article is to describe the reported goals of teachers participating in professional development related to their efforts to consider multiple representations in their teaching. Through analysis of monthly written reflections and group discussion, we describe 3 teacher dilemmas that emerged related to their efforts to consider multiple representations in their teaching: (a) equitable practices when particular representations result in differential success, (b) a teacher's need to balance exposure and choice, and (c) a potential dilemma related to conflicts between competing goals. We provide suggestions of how mathematics educators might use these findings to support future professional development efforts.

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Elizabeth A. van Es, Shari L. Stockero, Miriam G. Sherin, Laura R. Van Zoest and Elizabeth Dyer

Recent advances in technology have resulted in an array of new digital tools for capturing classroom video, making it much easier for teachers to collect video from their own classrooms and share it with colleagues, both near and far. We view teacher selfcaptured video as a promising tool for improving mathematics teacher education. In this article, we discuss three issues that are essential for making the most of selfcaptured video: camera position, how much video to capture, and when to specify tasks for capturing, selecting, and using video. We propose that the act of deliberately participating in the self-capture process, as well as viewing and analyzing one's own video with colleagues, offers worthwhile opportunities for mathematics teacher learning.