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Showing 1 to 15 of 226 results Save | Export
Peer reviewed
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
Peer reviewed
Grundmeier, T. A.; Retsek, D.; Berg, A.; Mann, S.; Hamlin Prieto, A. – PRIMUS, 2022
Students' proof abilities were explored in the context of an inquiry-based learning (IBL) approach to teaching an introductory proofs course. IBL is a teaching method that puts the responsibility for proof on students and focuses on student discussion and exploration. Data collected from each of the 70 participants included a portfolio consisting…
Descriptors: Mathematics Instruction, Inquiry, Validity, Mathematical Logic
Peer reviewed
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
Peer reviewed
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
Peer reviewed
Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Fulton, Elizabeth W. – PRIMUS, 2022
We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Algebra
Peer reviewed
Fulton, Elizabeth W.; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle – PRIMUS, 2022
This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into…
Descriptors: High Schools, Secondary School Mathematics, Mathematics Instruction, Undergraduate Study
Peer reviewed
Andriunas, R.; Boyle, B.; Lazowski, A. – PRIMUS, 2022
This paper discusses a project for linear algebra instructors interested in a concrete, geometric application of matrix diagonalization. The project provides a theorem concerning a nested sequence of tetrahedrons and scaffolded questions for students to work through a proof. Along the way students learn content from three-dimensional geometry and…
Descriptors: Algebra, Geometry, Matrices, Mathematics Instruction
Peer reviewed
Hossain, M. Alamgir; Menz, Petra M.; Stockie, John M. – PRIMUS, 2022
We present a question bank consisting of over 250 multiple-choice and true--false questions covering a broad range of material typically taught in an introductory undergraduate course in numerical analysis or computational science. The questions are ideal for polling students during lectures by means of a student response system that uses…
Descriptors: Audience Response Systems, Undergraduate Study, Telecommunications, Handheld Devices
Peer reviewed
Toney, Allison F.; Boul, Stephen D. – PRIMUS, 2022
Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Difficulty Level
Peer reviewed
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
Peer reviewed
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)
Peer reviewed
White, D.; Anderson, M. – PRIMUS, 2021
The purpose of this paper is to describe the use of a problem involving superfactorials (a specific product of factorials) that provides an in-depth and comprehensive mathematical experience, encompassing skills that mathematicians view as tantamount to exploration. The problem is easily accessible and fosters creativity and perseverance, thereby…
Descriptors: Mathematics Instruction, College Mathematics, Problem Solving, Mathematics Skills
Peer reviewed
Fowler, Jim; Snapp, Bart; Johns, Carolyn; Andrews, Darry; Boros, Dan; Clemens, Herb; Ferdinand, Vic; Findell, Brad; Husen, Bill; Johnson, John H.; Lakos, Nela; Miller, Elizabeth; Ramsey, Bobby; Sheldon, Jenny; Talamo, Jim; Carlson, Tim – PRIMUS, 2021
An interactive open-source calculus textbook is compared to a popular commercial textbook. Structured as a non-inferiority study, use of the open-source textbook does not harm student outcomes, and there is evidence that the open-source textbook is better than the commercial textbook in promoting post-course enjoyment of mathematics and confidence…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Textbooks
Peer reviewed