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Jennifer Pi; Christopher Davis; Yasmeen Baki; Alessandra Pantano – PRIMUS, 2024
We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…
Descriptors: Reflection, Cooperative Learning, Introductory Courses, Mathematical Logic
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Cardetti, Fabiana; LeMay, Steven – PRIMUS, 2019
In this article we present the results of a study focused on engaging students in argumentation to support their growth as mathematical learners, which in turn strengthens their science learning experiences. We identify five argumentation categories that promote the learning of argumentation skills and enrich mathematical reasoning at the…
Descriptors: Persuasive Discourse, Abstract Reasoning, Mathematics Skills, Science Process Skills
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Jensen-Vallin, Jacqueline – PRIMUS, 2017
As STEM educators, we know it is beneficial to train students to think critically and mathematically during their early mathematical lives. To this end, the author teaches the College Algebra/Precalculus course in a flipped classroom version of an inquiry-based learning style. However, the techniques described in this paper can be applied to a…
Descriptors: Mathematics Instruction, Critical Thinking, College Mathematics, Inquiry
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Beier, Julie C.; Gevertz, Jana L.; Howard, Keith E. – PRIMUS, 2015
The use of modeling projects serves to integrate, reinforce, and extend student knowledge. Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience. Here we discuss…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Models
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Eriksen, Steven E. – PRIMUS, 2009
The manner in which we teach, learn, and apply operations research has evolved steadily over the last two decades. Students and instructors alike appreciate the accessibility to technology both within and outside of the classroom. However, with such easy solution finding technology we risk the inculcation of a "right answer" mentality. How do we…
Descriptors: Operations Research, Critical Thinking, Learning Processes, Problem Solving