Variation in Students’ Thinking about Sameness and Comparisons to Mathematicians
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Sameness is a topic threaded throughout all levels of mathematics and yet it has not received much focus from the mathematics education research community. Our work categorizes the dimensions of variation that students highlighted when asked to describe sameness using a recent framework on sameness in mathematics. We captured students’ ideas about sameness through a pair of open response surveys at multiple doctoral-granting institutions across the United States. In this presentation, we report on the variation found in the student surveys and also compare our findings to a prior study of surveyed mathematicians.