2021 Research in Undergraduate Mathematics Education Reports
2021
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Relative Size Reasoning: A Cross-Cutting Way of Thinking for Learning Precalculus Ideas
Page: 410
The goal of this paper is to describe a cross-cutting way of thinking which may be productive for learning precalculus ideas. I describe the construct, “relative size reasoning” which consists of thinking about the relative size of two quantities as they change together. This way of thinking entails quantitative and covariational reasoning. I describe the mental operations involved in relative size reasoning and how it can be used by providing three illustrations of relative size reasoning in three precalculus ideas and conclude with future research.