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Showing 1 to 15 of 254 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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Dunnigan, Gerri; Halcrow, Cheryl – PRIMUS, 2021
We describe a project to restructure the way Applied Calculus is taught at our university to improve student success rates. Eliminating large lecture sections, re-evaluating the needs and expectations of our students, developing uniform course delivery and grading systems, incorporating active learning teaching methods, and focusing on conceptual…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Teaching Methods
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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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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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Bleiler-Baxter, Sarah K.; Pair, Jeffrey D.; Reed, Samuel D. – PRIMUS, 2021
Students often view their role as that of a replicator, rather than a creator, of mathematical arguments. We aimed to engage our students more fully in the creation process, helping them to see themselves as legitimate proof creators. In this paper, we describe an instructional activity (i.e., the "group proof activity") that is…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
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McNicholl, T. H.; Frank, K.; Hogenson, K.; Roat, J.; Carlson, M. P. – PRIMUS, 2021
We discuss an implementation of the research-based Pathways precalculus curriculum in a large-lecture format supported by recitations, clickers, and online homework. We describe our approach to adapting the implementation of Pathways precalculus from a small class to a large lecture instructional format. We report data on student learning and…
Descriptors: Mathematics Instruction, College Mathematics, Teaching Methods, Calculus
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Becker, Paul; Medwid, Mark – PRIMUS, 2021
Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for "abstract" concepts. We describe Maple lab…
Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Assignments
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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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Yao, Guangming; Black, Kelly; Ramsdell, Michael; Skufca, Joseph – PRIMUS, 2020
Improving student success rates in introductory calculus and physics courses is critically important for our students' path in STEM fields. Many of the students who have an intuitive understanding of physics fail calculus and are pushed to delay or drop their majors in technical fields. One way of addressing this issue is by adopting a program…
Descriptors: STEM Education, Undergraduate Students, Success, Mathematics Achievement
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Reinholz, Daniel L. – PRIMUS, 2020
This article describes an inquiry-oriented real analysis classroom in which students were guided to discover mathematics for themselves. To support student inquiry, the framework of "five practices" from K-12 education was used. To illustrate this framework, two case examples are given from actual discussions that took place in this…
Descriptors: Mathematics Instruction, Teaching Methods, Inquiry, Mathematical Concepts
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Bossé, Michael J.; Cook, William J.; Castonguay, Joseph M. – PRIMUS, 2020
Following a line of inquiry regarding the exact number of real roots of a real polynomial, this investigation considers: Descartes' Rule of Signs, the Budan-Fourier Theorem, and versions of Sturm's Method in contrast with the approximate root count gleaned from graphing utilities. Online applets are provided to allow the reader to freely…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Educational Technology
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Flórez, Rigoberto; Mukherjee, Antara – PRIMUS, 2020
We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…
Descriptors: Mathematics Instruction, College Mathematics, Secondary School Mathematics, Undergraduate Study
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