Search arXivSearch

arXiv · 2512.09952

Developing a Learner-Centered Teaching Routine

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.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Hyeeun Jang. 2025-12-09. Developing a Learner-Centered Teaching Routine. https://arxiv.org/abs/2512.09952

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Come for the vibe, stay for the math

This article describes our experiences in mathematical outreach over the past decade. We talk about specific activities, but also general principles that we've learned along the way.

math.HO

From foundations to applications: reverse mathematics and philosophy

Reverse mathematics is a branch of mathematical logic dedicated to determining the minimal set existence principles necessary and sufficient to derive ordinary mathematical theorems about concrete structures like the real line. Since the mid-1970s, reverse mathematics has developed a systematic classification of the strength of theorems in areas of mathematics ranging from real and complex analysis to infinitary combinatorics. This essay will place reverse mathematics in its historical and philosophical context, and reveal its relevance to central issues in the philosophy of mathematics, from the foundational programmes of Hilbert and Brouwer to contemporary debates about realism, determinacy, and applicability of mathematics. In doing so, it will discuss the role of computability theory in measuring the strength of set existence principles, as well as related questions about idealisation when these principles are applied in the physical sciences and in philosophy.

math.HO