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Eklund, Holly – PRIMUS, 2020
The purpose of this paper is to explain a newly implemented interactive delivery model for students at the Colorado School of Mines (Mines) repeating Calculus for Scientists & Engineers I during the spring of 2017. Since calculus is a necessary component for so many STEM degrees, it will continue to be a gateway to obtaining such degrees and…
Descriptors: Teaching Methods, Delivery Systems, Calculus, Scientists
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Garaschuk, Kseniya M.; Cytrynbaum, Eric N. – PRIMUS, 2019
Active learning techniques, such as peer instruction and group work, have been gaining a lot of traction in universities. Taking a natural next step in re-evaluating current practices, many institutions recently started experimenting student-centred group exams. In order to assess the feasibility and effectiveness of collaborative assessments, we…
Descriptors: Instructional Effectiveness, Mathematics Instruction, Group Testing, Group Activities
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Ludwig, Patrice; Tongen, Anthony; Walton, Brian – PRIMUS, 2018
James Madison University faculty team-teach an interdisciplinary mathematical modeling course for mathematics and biology students. We have used two different project-based approaches to emphasize the mathematical concepts taught in class, while also exposing students to new areas of mathematics not formally covered in class. The first method…
Descriptors: Mathematics Instruction, Science Instruction, Case Studies, Interdisciplinary Approach
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Fisher, Brian – PRIMUS, 2016
This paper describes the development of an instructional sequence designed to allow students to reinvent the definition of sequence convergence in an introductory proof course. The sequence follows a heuristic of guided reinvention that encourages students to independently create their own mathematical definitions. This case study reports on how…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematical Logic, Validity
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Davis, Tara C.; Lu', Hùng – PRIMUS, 2015
This paper describes the results of a two-semester-long study of the effects of student-centered instruction on Precalculus courses. We also describe our teaching approaches centering around students, which include a mixture of lectures, student presentations, group work, discussion, and guided investigations. Students were taught with either the…
Descriptors: Calculus, Mathematics Instruction, Learner Controlled Instruction, Teaching Methods
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Brandt, Jim – PRIMUS, 2013
Equivalence relations and partitions are two interconnected ideas that play important roles in advanced mathematics. While students encounter the informal notion of equivalence in many courses, the formal definition of an equivalence relation is typically introduced in a junior level transition-to-proof course. This paper reports the results of a…
Descriptors: College Mathematics, Teaching Methods, Mathematical Concepts, Lecture Method