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Ethan Berkove; Ben Galluzzo – PRIMUS, 2024
This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.
Descriptors: Mathematics Education, Undergraduate Study, Mathematical Models, Mathematical Applications
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Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2023
This article makes a case for introducing moving averages into introductory statistics courses and contemporary modeling/data-based courses in college algebra and precalculus. The authors examine a variety of aspects of moving averages and draw parallels between them and similar topics in calculus, differential equations, and linear algebra. The…
Descriptors: College Mathematics, Introductory Courses, Statistics Education, Algebra
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Ayalew, Mentewab; Hylton, Derrick; Sistrunk, Jeticia; Melton, James; Johnson, Kiandra; Voit, Eberhard – PRIMUS, 2022
The integration of biology with mathematics and computer science mandates the training of students capable of comfortably navigating among these fields. We address this formidable pedagogical challenge with the creation of transdisciplinary modules that guide students toward solving realistic problems with methods from different disciplines.…
Descriptors: Biology, Science Instruction, Mathematics Instruction, Interdisciplinary Approach
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Yong, Darryl; Levy, Rachel; Lape, Nancy – PRIMUS, 2015
Flipped classrooms have the potential to improve student learning and metacognitive skills as a result of increased time for active learning and group work and student control over pacing, when compared with traditional lecture-based courses. We are currently running a 4-year controlled study to examine the impact of flipping an Introductory…
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
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Lutzer, Carl V. – PRIMUS, 2015
We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random. We assume only a basic understanding of probability.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Equations (Mathematics)
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Pankavich, Stephen; Swanson, Rebecca – PRIMUS, 2015
Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics,…
Descriptors: Factor Analysis, Mathematics Instruction, College Mathematics, Algebra