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Students’ sense-making frames in mathematics lectures
Institution:1. Department of Mathematics, Ithaca College, 953 Danby Road, Ithaca, NY 14850, United States;2. Department of Mathematics & Statistics, University of New Hampshire, W383 Kingsbury Hall, 33 Academic Way, Durham, NH 03824, United States;1. University of Alicante, Spain;2. University of Leuven, Belgium;1. Department of Mathematics and Science Education, University of Georgia, 105G Aderhold Hall, Athens, GA 30602-7124, United States;2. School of Mathematical & Statistical Sciences, Arizona State University, Tempe, AZ 85287, United States;1. Simon Fraser University, Burnaby, BC V5A 1S6, Canada;2. The University of Auckland, New Zealand
Abstract:The goal of this study is to describe the various ways students make sense of mathematics lectures. Here, sense-making refers to a process by which people construct personal meanings for phenomena they experience. This study introduces the idea of a sense-making frame and describes three different types of frames: content-, communication-, and situating-oriented. We found that students in an abstract algebra class regularly engaged in sense-making during lectures on equivalence relations, and this sense-making influenced their note-taking practices. We discuss the relationship between the choice of frame, the students’ sense-making practices, and the potential missed opportunities for learning from the lecture. These results show the importance of understanding the ways students make sense of aspects of mathematics lectures and how their sense-making practices influence what they might learn from the lecture.
Keywords:Sense-making  Lectures  Abstract algebra
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