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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

Piercey, Victor – PRIMUS, 2021

Since the content of the Theory of Interest course in an actuarial science program is tied to an external exam, instructors may be hesitant to attempt to use inquiry-based learning. In this paper, I outline how and why I did so, including descriptions of the materials that I wrote. I found that student performance on the final exam improved…

Descriptors: Risk Management, Inquiry, Mathematics, Money Management

Shelton, Therese; Laurent, Theresa; Agyemang-Barimah, Beulah – PRIMUS, 2019

We present adaptable activities for models of drug movement in the human body -- pharmacokinetics -- that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models,…

Descriptors: Equations (Mathematics), Active Learning, Calculus, Pharmacology

George, Michael – PRIMUS, 2012

Research has shown that a significant majority of students in remedial mathematics do not remediate successfully. Such widespread failure raises the question of motivation. Some would argue that the instructor should directly compel students to commit themselves to the course and its work. This can be done by mandating attendance and/or by…

Descriptors: Motivation, Remedial Mathematics, French, Intervention

Royer, Melvin – PRIMUS, 2012

Gabriel's Horn is a solid of revolution commonly featured in calculus textbooks as a counter-intuitive example of a solid having finite volume but infinite surface area. Other examples of solids with surprising geometrical finitude relationships have also appeared in the literature. This article cites several intriguing examples (some of fractal…

Descriptors: Mathematics Education, Textbooks, Scientific Concepts, Calculus

Lucas, Adam R. – PRIMUS, 2012

"WeBWorK," an online homework system, can be be used to deliver daily reading questions to students. The author studied its use for this purpose with a lower division Introduction to Programming course and an upper division Probability and Statistics course. In the lower division course, "WeBWorK" significantly improved peer…

Descriptors: Homework, Student Attitudes, Active Learning, Grading

Cardetti, Fabiana; McKenna, P. Joseph – PRIMUS, 2012

The purpose of this article is to provide a deeper understanding of the natural rhythm of a typical semester, as observed in students' reflections in journals kept during the semester. Our analysis of students' writings rendered a breakdown of the semester into four distinct periods that were independent of the particular semester or section the…

Descriptors: Higher Education, Anatomy, Calculus, Teaching Methods

Otten, Samuel; Zin, Christopher – PRIMUS, 2012

The emergence of non-Euclidean geometries in the 19th century rocked the foundations of mathematical knowledge and certainty. The tremors can still be felt in undergraduate mathematics today where encounters with non-Euclidean geometry are novel and often shocking to students. Because of its divergence from ordinary and comfortable notions of…

Descriptors: Undergraduate Students, Mathematics Education, Textbooks, Geometry

Gonzalez-Muniz, Madeline; Klingler, Lee; Moosai, Susan; Raviv, Daniel – PRIMUS, 2012

Florida Atlantic University implemented a number of changes in the College Algebra course in an attempt to improve student success. We summarize these changes, and how they have affected the course. We also discuss possibilities for future improvements. (Contains 3 figures and 1 footnote.)

Descriptors: Algebra, Mathematics Instruction, College Mathematics, Higher Education

Rash, Agnes M.; Winkel, Brian J. – PRIMUS, 2009

This paper describes details of development of the general birth and death process from which we can extract the Poisson process as a special case. This general process is appropriate for a number of courses and units in courses and can enrich the study of mathematics for students as it touches and uses a diverse set of mathematical topics, e.g.,…

Descriptors: Equations (Mathematics), Probability, Calculus, Mathematics Instruction

White, James D.; Carpenter, Jenna P. – PRIMUS, 2008

Louisiana Tech University has an integrated science curriculum for its mathematics, chemistry, physics, computer science, biology-research track and secondary mathematics and science education majors. The curriculum focuses on the calculus sequence and introductory labs in biology, physics, and chemistry. In the introductory biology laboratory…

Descriptors: Education Majors, Laboratory Experiments, Laboratory Safety, Physics

Lock, Robin H.; Lock, Patti Frazer – PRIMUS, 2008

Bootstrap methods and randomization tests are increasingly being used as alternatives to standard statistical procedures in biology. They also serve as an effective introduction to the key ideas of statistical inference in introductory courses for biology students. We discuss the use of such simulation based procedures in an integrated curriculum…

Descriptors: Integrated Curriculum, Introductory Courses, Biology, Statistical Inference

Marland, Eric; Palmer, Katrina M.; Salinas, Rene A. – PRIMUS, 2008

In this article we provide two detailed examples of how we incorporate biological examples into two mathematics courses: Linear Algebra and Ordinary Differential Equations. We use Leslie matrix models to demonstrate the biological properties of eigenvalues and eigenvectors. For Ordinary Differential Equations, we show how using a logistic growth…

Descriptors: Mathematics Instruction, Biology, Integrated Curriculum, Equations (Mathematics)

Ledder, Glenn – PRIMUS, 2008

The simplest age-structured population models update a population vector via multiplication by a matrix. These linear models offer an opportunity to introduce mathematical modeling to students of limited mathematical sophistication and background. We begin with a detailed discussion of mathematical modeling, particularly in a biological context.…

Descriptors: Scientific Research, Mathematical Models, Entomology, Biology

Lorch, Crystal; Lorch, John – PRIMUS, 2008

Two methods are presented for counting small "essentially different" sudoku puzzles using elementary group theory: one method (due to Jarvis and Russell) uses Burnside's counting formula, while the other employs an invariant property of sudoku puzzles. Ideas are included for incorporating this material into an introductory abstract algebra course.…

Descriptors: Algebra, College Mathematics, Puzzles, Computation