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Koss, Lorelei – PRIMUS, 2022

In a recent article, Crider recommends ending a course with a memorable learning experience, called an epic finale, instead of a final exam. Here, we give the details of epic finales given in four mathematics courses: Discrete Mathematics, Information and Coding Theory, Real Analysis, and Complex Analysis. We describe how to reconfigure a course…

Descriptors: Mathematics Instruction, Learning Activities, Mathematics Tests, Teamwork

DeOrsey, Philip; von Renesse, Christine – PRIMUS, 2022

We introduce a ruler and compass activity designed around Islamic Geometry and provide a detailed description of the various components of the activity along with ideas for students exhibitions in both digital and print form. In our experience, this activity helps students to "buy into" actively doing mathematics, making it an ideal…

Descriptors: Geometry, Mathematics Instruction, Learning Activities, Inquiry

Melhuish, K.; Lew, K.; Hicks, M. – PRIMUS, 2022

Connecting and comparing across student strategies has been shown to be productive for students in elementary and secondary classrooms. We have recently been working on a project converting such practices from the K-12 level to the undergraduate classroom. In this paper, we share a particular instantiation of this practice in an abstract algebra…

Descriptors: Mathematics Instruction, Teaching Methods, Best Practices, Algebra

Palmer, Katrina; Bauldry, William; Bossé, Michael J.; Post, Jaehee – PRIMUS, 2022

Most any students can explain the meaning of "a[superscript b]", for "a" ? R and for "b" ? Z. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" ? R and for "c" ? Z. However, few may be able to explain "a[superscript di]" or…

Descriptors: Mathematics Instruction, Mathematical Concepts, Secondary School Mathematics, College Mathematics

Venkatesh, Anil; Bagley, Spencer – PRIMUS, 2022

To address a deteriorating classroom climate at the midpoint of a two-semester course sequence, we employed a novel intervention: reading a research manuscript together with students as an invitation to legitimate peripheral participation in scholarly reflection on teaching and learning. This intervention resolved many student complaints about the…

Descriptors: Classroom Environment, Intervention, Student Participation, Publications

Gaines, Benjamin – PRIMUS, 2022

In introductory level math classes, writing prompts can be used as part of weekly homework assignments to encourage students to think more deeply about the subject at hand. These writing prompts present scenarios related to recently learned material in a new context and require students to submit a short written response online. Writing prompts…

Descriptors: Introductory Courses, Mathematics Instruction, Cues, Writing (Composition)

Ledder, G.; Homp, M. – PRIMUS, 2022

The COVID-19 pandemic has made mathematical epidemiology a topic of critical importance, providing mathematics educators with an unparalleled opportunity. This opportunity is accompanied by a challenge: how do mathematics educators, some of whom have little personal experience with mathematical modeling, teach mathematical epidemiology to their…

Descriptors: COVID-19, Pandemics, Mathematics Instruction, Epidemiology

Jungck, John R. – PRIMUS, 2022

Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Learning Modules

Pulley, Melissa; Rodriguez, Leoncio; Lewis, Matthew; Kohler, Brynja; Gordillo, Luis – PRIMUS, 2022

Inspired by the approach first employed by C.S. Holling in his classic "disc experiment," this article provides a sequence of learning activities that increase students' understanding of the mechanisms behind saturating effects in predator-prey scenarios. The proposed lesson is recommended for inclusion in courses that address…

Descriptors: Biology, Science Instruction, Interdisciplinary Approach, Learning Activities

Masso, Majid – PRIMUS, 2022

Recent years have seen an explosion of science, technology, engineering, and mathematics (STEM) research leading to myriad practical applications. This backdrop serves as a powerful motivator for students. George Mason University hosts an annual Aspiring Students Summer Internship Program (ASSIP) for students to participate as interns in ongoing…

Descriptors: Student Participation, College Students, College Faculty, Research

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

Yoshida, R.; Page, R. – PRIMUS, 2022

In the fall of 2009 and in the spring of 2012, supported by the National Institute of General Medical Sciences (NIGMS) in the National Institutes of Health (NIH), we designed a course "Phylogenetic Analysis and Molecular Evolution" (PAME), the first cross-listed course across three different colleges (College of Arts and Sciences,…

Descriptors: Molecular Biology, Evolution, Molecular Structure, Graduate Students

Prasad, Priya V.; Boyce, Steven – PRIMUS, 2022

Exploring non-Euclidean geometries is a common way for College Geometry instructors to highlight subtleties in Euclidean geometry. The concept of congruence, going undefined or informally defined in multiple axiomatic systems, is particularly susceptible to conflation with the idea of "same measure." Taxicab geometry provides a context…

Descriptors: College Mathematics, Geometry, Geometric Concepts, Preservice Teachers

Norton, Douglas E. – PRIMUS, 2022

This paper introduces a course design for a post-Calculus undergraduate course on mathematical modeling for the life sciences. The course includes differential equations, discrete, and cellular automata approaches (among others) to modeling questions in the life sciences, as well as a variety of biological topics. The course focuses on model…

Descriptors: Undergraduate Study, College Mathematics, Mathematical Models, Biological Sciences

Gordon, Sheldon P.; Gross, Sarah; Bahamonde, Matthew; Winn, Jack; Seifert, Jessica; Martin, Carla A.; Yang, Yajun – PRIMUS, 2022

This article describes the authors' experiences developing and implementing an innovative curriculum connecting mathematics and the biological sciences. It describes the original plan, the modifications that were necessary, and some advice to readers who might want to develop comparable programs.

Descriptors: Mathematics Instruction, Biological Sciences, Curriculum Development, Interdisciplinary Approach