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Using Balacheff’s (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set of a given set of vectors. An analysis of the correctness of the application of these strategies provides a more nuanced understanding of student responses that might be more useful for instructors than simply classifying the responses as right or wrong. These findings add to our knowledge of the textbook’s presentation of span and student understanding of span. We discuss implications for research and practice.more » « less
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Liakos, Yannis; Gerami, Saba; Mesa, Vilma; Judson, Thomas; Ma, Yue (, International Journal of Mathematical Education in Science and Technology)
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Mesa, Vilma; Ma, Yue; Quiroz, Carlos; Gerami, Saba; Liakos, Yannis; Judson, Thomas; Chamberlain, Lynn (, ZDM – Mathematics Education)
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Mesa, Vilma Mali (, For the Learning of Mathematics)null (Ed.)In this essay we reflect on the evolution of a strategy designed to gather data about students’ actions with dynamic textbooks in university mathematics as part of a two-year long, federally-funded, large-scale exploratory study. We present the context of the study, and how that context generated both opportunities and challenges to obtain information about student actions with these textbooks. The evolving process of data collection has provided insights into the relationship between researchers, participants, context, and data collection systems, and the ways in which these inform each other.more » « less
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