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Developing a Learner-Centered Teaching Routine

Published 9 Dec 2025 in math.HO | (2512.09952v1)

Abstract: This paper shares a classroom story from Fall 2022 to Spring 2025 about a learner centered routine in undergraduate mathematics. I use four steps: an opening question, a short mini lecture about meaning, structured small group work, and a short end of class exit check, sometimes with quick visuals. I used this mainly in elementary statistics, with some use in calculus and linear algebra. The evidence is local and practical: my notes, one minute exit checks, informal student comments and surveys, and conference feedback. Across courses, I saw less passive lecturing, more visible participation, and students explaining their reasoning during the closing time. Limits are clear: one instructor and no controlled comparisons. Next I plan to improve the prompts for different student groups and to simplify the visuals. I offer a simple routine and timing that other instructors can adapt to their own classes.

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