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Showing 1 to 15 of 214 results Save | Export
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Munakata, Mika; Vaidya, Ashwin; Monahan, Ceire; Krupa, Erin – PRIMUS, 2021
This paper describes the development and implementation of course modules intended to encourage creative thinking in an undergraduate general education mathematics course. The modules were designed to address the characteristics of creativity outlined in the literature through explorations of mathematics relevant to non-mathematics majors. A…
Descriptors: Mathematics Instruction, Creative Thinking, Undergraduate Study, College Mathematics
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Apkarian, Naneh; Kirin, Dana; Gehrtz, Jessica; Vroom, Kristen – PRIMUS, 2021
The Mathematical Association of America's "Precalculus to Calculus: Insights and Innovations Conference" brought together representatives of mathematics departments from across the country with members of two national research projects to share and discuss both research findings and on-the-ground concerns of faculty. In this article, we…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Education, Conferences (Gatherings)
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Gruber, Sean; Rosca, Raluca I.; Chazan, Daniel; Fleming, Elizabeth; Balady, Steve; VanNetta, Catherine; Okoudjou, Kasso A. – PRIMUS, 2021
Addressed toward course coordinators and departmental leaders interested in redesigning an undergraduate mathematics course, we highlight the steps our team at the University of Maryland, College Park has taken in bringing active learning to our Precalculus course. We provide examples of ways in which we have coordinated active learning across…
Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Calculus
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Lange, Karin E.; Deiger, Megan; Bourque, Matthew; Tingley, Peter; Peters, Emily; Jordan, Laurie E.; Giaquinto, Anthony – PRIMUS, 2021
In the context of national collaborative efforts to increase the prevalence of active learning strategies in undergraduate precalculus and calculus classrooms, we discuss the context, strategy, and processes used at one university to create change within a mathematics department. We highlight the use of a unified active learning approach and the…
Descriptors: College Mathematics, Mathematics Instruction, Active Learning, Teaching Methods
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Maciejewski, Wes; Bragelman, John; Campisi, Marion; Hsu, Tim; Gottlieb, Andrea; Schettler, Jordan; Bergthold, Trisha; Cayco, Bem – PRIMUS, 2021
Our university is one campus of the larger, 23-campus California State University system. In 2017, the Chancellor of the system discontinued the developmental mathematics programs at all 23 campuses. This caught us by surprise and compelled us to act quickly. This article gives an overview of our response, highlighting the change our department…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Educational Change
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Krause, Andrew J.; Maccombs, Ryan J.; Wong, Willie W. Y. – PRIMUS, 2021
Our traditional model of calculus instruction at a large public research university emphasized factual knowledge and procedural fluency with few realistic applications, leaving a chasm between classroom mathematics and disciplinary practice. Amid an ongoing effort by our department to improve undergraduate learning outcomes, we replaced…
Descriptors: Calculus, Mathematics Instruction, College Mathematics, Undergraduate Study
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Vandenbussche, Jennifer; Ritter, Lake; Callahan, Kadian M.; Westlund, Erik E. – PRIMUS, 2021
In this article, the authors propose a department-level curricular committee structure, called Strand Committees, as a mechanism to facilitate oversight and enact significant change to policies and practices in specific courses. The primary goal of the Strand Committees is improving both student success and instruction while upholding a high…
Descriptors: Undergraduate Study, STEM Education, Educational Improvement, Educational Change
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Adiredja, Aditya P. – PRIMUS, 2021
The complexity in understanding the [epsilon-delta] definition has motivated research into the teaching and learning of the topic. In this paper I share my design of an instructional analogy called the Pancake Story and four different questions to explore the logical relationship between [epsilon] and [delta] that structures the definition. I…
Descriptors: Mathematics Instruction, College Mathematics, Teaching Methods, Calculus
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Petrilli, Salvatore J., Jr. – PRIMUS, 2021
The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Logic
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Nievergelt, Yves – PRIMUS, 2021
Answering a call by the "Common Vision" for instructional material to "establish stronger connections with other disciplines" and "work with professional-level technology tools," the present article shows how various aspects of fitting circles to data fit in existing courses from basic calculus to advanced calculus.
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Undergraduate Study
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Turner, Dusty; Pleuss, James; Collins, Christopher – PRIMUS, 2021
In the continual pursuit of classroom learning effectiveness, researchers and educators aim to develop strategies that improve student performance and learning. One such strategy is to create academically homogeneous environments where students are grouped into classes based on their preconceived academic ability. The research team tests this…
Descriptors: Grouping (Instructional Purposes), Undergraduate Study, Ability Grouping, College Mathematics
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McDowell, Eric L. – PRIMUS, 2021
This article chronicles the author's positive experience of conducting a liberal arts mathematics course with no testing whatsoever. The format of the course is discussed, and student responses to the format are summarized.
Descriptors: Mathematics Instruction, Liberal Arts, College Mathematics, Mathematical Concepts
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Lahme, Brigitte; Shott, Martha – PRIMUS, 2021
In 2011, Sonoma State University developed a STEM first-year experience (supported by NSF STEP grant 1068445) that combines general education requirements in mathematics, biology, and critical thinking. The mathematics content includes topics from precalculus and elementary statistics, with a particular focus on using functions and modeling with…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, STEM Education
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Coggins, Porter E., III; Glatzer, Tim – PRIMUS, 2020
We present an algorithm for a matrix-based Enigma-type encoder based on a variation of the Hill Cipher as an application of 2 × 2 matrices. In particular, students will use vector addition and 2 × 2 matrix multiplication by column vectors to simulate a matrix version of the German Enigma Encoding Machine as a basic example of cryptography. The…
Descriptors: Mathematics Instruction, Matrices, Technology, Addition
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Seager, Suzanne – PRIMUS, 2020
For many of my students, Real Analysis I is the first, and only, analysis course they will ever take, and these students tend to be overwhelmed by epsilon-delta proofs. To help them I reordered Real Analysis I to start with an "Analysis Boot Camp" in the first 2 weeks of class, which focuses on working with inequalities, absolute value,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Concept Formation
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