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Jonathan Brown; Erin Turner; Delia Sotelo Fierros – Mathematics Teacher: Learning and Teaching PK-12, 2025
Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Problem Solving
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Kularajan, Sindura Subanemy; Czocher, Jennifer A. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
In this paper we address the question, how do quantitative reasoning and covariational reasoning present as students build structural conceptions of real-world situations. We use data from an exploratory teaching experiment with an undergraduate STEM major to illustrate the explanatory roles quantitative reasoning and covariational reasoning play…
Descriptors: Mathematics, Thinking Skills, Concept Formation, Undergraduate Students
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Haberman, Shelby J. – ETS Research Report Series, 2020
Best linear prediction (BLP) and penalized best linear prediction (PBLP) are techniques for combining sources of information to produce task scores, section scores, and composite test scores. The report examines issues to consider in operational implementation of BLP and PBLP in testing programs administered by ETS [Educational Testing Service].
Descriptors: Prediction, Scores, Tests, Testing Programs