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Affective Assessment and Mathematics Classroom Engagement: A Case Study
Authors:Steven R Williams  Kathy MC Ivey
Institution:(1) Department of Mathematics, Brigham Young University, Provo, Utah, U.S.A.;(2) Department of Mathematics and Computer Science, Western Carolina University, Asheville, North Carolina
Abstract:This paper reports a case study of one student’s pattern of engagement in an eighth-grade algebra class. The student, Bryan, was a participant in a yearlong study of mathematical communication in middle school classrooms. His case is interesting both because of the striking differences between his being engaged and disengaged in classroom work, and because of the reasons he gives for his pattern of engagement. Several current theories of engagement and motivation are discussed as we attempt to gain insight into his actions and explanations. All are successful in describing parts of Bryan’s behavior. However, we argue both empirically and theoretically that none serve to characterize what we feel is the core of Bryan’s decision about engagement: his affective assessment of mathematics. We provide an analysis based on Rychlak’s (1988, 1994)Logical Learning Theory to give insights into Bryan’s assessment of mathematics, and discuss what this approach adds to our understanding of this particular case. This revised version was published online in July 2006 with corrections to the Cover Date.
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