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In this study we explore the usefulness of Bayesian networks as a novel approach to functionally describe teachers’ usable knowledge and knowledge use in mathematics. We use teachers’ responses to the Classroom Video Analysis (CVA-M) measure as a proxy measure of usable knowledge. We identify the different knowledge pieces contained in teachers’ CVA-M responses and use this information as input to discover the structure and associated weights of the usable knowledge network. Results indicate that early carrier and experienced teachers access similar knowledge in their responses, but that, as expected, the structure of their knowledge is qualitatively different, providing promising preliminary empirical evidence for the usefulness of computational models to describe and study useable knowledge and knowledge use in teaching.
Nicole B. Kersting, The University of Arizona
Beau Vezino, Northern Arizona University
James E. Smith, University of Arizona
Mei-Kuang Chen, The University of Arizona
Marcy B. Wood, The University of Arizona
James W. Stigler, University of California - Los Angeles