Abstract
In this chapter, affect, mathematical modeling, and to a lesser degree cognition, are discussed in an attempt to provide readers with a fundamental understanding for the remainder of the book. Affect is described as a multifaceted construct that relates to beliefs, attitudes, and emotions (McLeod and Adams 1989). DeBellis and Goldin (2006) refer to meta-affect, which is affect about affect, though they later added the tetrahedral model, which included values. Affect, once considered a subset of cognition (Binet and Simon 1916) may now be considered a co-equal constituent with cognition. Mathematical modeling is considered a process or act, in which problem solvers seek to generate understanding of mathematical information through mathematizing in an iterative process. In this chapter, a model is provided in which the relationship between affect, cognition, and mathematical modeling is elucidated.
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Chamberlin, S.A. (2019). Chapter 1: The Construct of Affect in Mathematical Modeling. In: Chamberlin, S.A., Sriraman, B. (eds) Affect in Mathematical Modeling. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-04432-9_2
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