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Showing 46 to 60 of 1,134 results Save | Export
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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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Engelke Infante, N. – PRIMUS, 2021
In calculus, related rates problems are some of the most difficult for students to master. This is due, in part, to the nature of the problems, which require constructing a nuanced mental model and a solid understanding of the function. Many textbooks present a procedure for their solution that is unlike how experts approach the problem and elide…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Schemata (Cognition)
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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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Cline, Kelly; Huckaby, David A. – PRIMUS, 2021
We recorded the percentage of students voting on each option on every clicker question used in 19 introductory statistics classes. To identify the questions that provide the most useful feedback, we looked for those for which the percentage of students voting correctly varied the most from class to class, producing the largest standard deviations.…
Descriptors: Audience Response Systems, Educational Technology, Technology Uses in Education, Statistics
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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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Venkatesh, Anil; Piercey, Victor – PRIMUS, 2021
Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…
Descriptors: Mathematics Instruction, College Mathematics, Inquiry, Grading
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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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Bruder, Andrea; Kohler, Brynja R. – PRIMUS, 2020
Although modeling is an integral process in applied mathematics, students rarely encounter modeling opportunities in their calculus courses. We introduce a laboratory experience as a starting point for calculus students to investigate multivariable functions. A layered system of coffee and milk serves as a physical model for temperature gradients…
Descriptors: Calculus, Mathematics Instruction, Climate, Food
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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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