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Diedrichs, Danilo R. – PRIMUS, 2019

Harvesting models based on ordinary differential equations are commonly used in the fishery industry and wildlife management to model the evolution of a population depleted by harvest mortality. We present a project consisting of a series of scenarios based on fishery harvesting models to teach the application of theoretical concepts learned in a…

Descriptors: Mathematical Models, Equations (Mathematics), Calculus, Industry

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

McCarthy, Chris; Lan, Jie; Li, Jieying – PRIMUS, 2019

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

Descriptors: Equations (Mathematics), Mathematical Models, Problem Solving, Computer Simulation

Dorée, Suzanne Ingrid – PRIMUS, 2017

How can we teach inquiry? In this paper, I offer practical techniques for teaching inquiry effectively using activities built from routine textbook exercises with minimal advanced preparation, including rephrasing exercises as questions, creating activities that inspire students to make conjectures, and asking for counterexamples to reasonable,…

Descriptors: Inquiry, Mathematics Instruction, Learning Activities, Problem Solving

Selby, Christina – PRIMUS, 2016

Linear algebra students are typically introduced to the problem of how to convert from one coordinate system to another in a very abstract way. Often, two bases for a given vector space are provided, and students are taught how to determine a transition matrix to be used for changing coordinates. If students are successful in memorizing this…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Algebra

Latulippe, Joe; Latulippe, Christine – PRIMUS, 2014

As an often recommended but under-utilized pedagogical strategy, writing in mathematics has many benefits for students. However, creating and grading worthwhile writing projects can be more time-consuming than utilizing more traditional forms of assessment. This paper provides a concrete example of a writing project prompt, questions, directions,…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Content Area Writing

Kalajdzievska, Darja – PRIMUS, 2014

In many post-secondary, introductory mathematics courses failure and withdrawal rates are reaching as high as 50% and average GPA is steadily decreasing. This is a problem that has been witnessed across the globe. With widespread reforms taking place in K-12 mathematics education, many innovative teaching strategies have been created, implemented,…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Student Motivation

Peer reviewed

Levine, Alan; Shanfelder, Benjamin – Primus, 2000

A major cause of the difficulty undergraduate mathematics majors have with the transition from elementary to advanced mathematics courses is that advanced courses require students to understand how mathematics is created. Describes a course whose main purpose is to introduce students to the creative process in mathematics. The course consists of…

Descriptors: Course Descriptions, Epistemology, Experiments, Higher Education

Peer reviewed

Oty, Karla J.; Elliott, Brett M.; McArthur, John M.; Clark, Bryon K. – Primus, 2000

Describes an interdisciplinary quantitative reasoning course that uses algebra to answer questions from science. Describes the development, philosophy, and structure of the course and demonstrates two of the projects developed for this course. Presents student reactions and attitudes towards the course. (Contains 11 references.) (Author/ASK)

Descriptors: Algebra, Course Descriptions, Higher Education, Interdisciplinary Approach

Peer reviewed

Krussel, Libby – Primus, 2000

Describes an assignment in which students were asked to identify a mathematical concept that had been difficult for them to master and to write a paper that investigated and described the historical development of the concept. Students reported that the assignment, though difficult, was very valuable in helping them understand their difficulties.…

Descriptors: Content Area Writing, Elementary Secondary Education, Mathematics History, Mathematics Instruction

Peer reviewed

Castro, James – Primus, 1991

Describes several techniques that have been used in a variety of college mathematics classes to shift the classroom experience from instructor-centered to student-centered. Discusses specific applications of these techniques to remedial mathematics, precalculus, liberal arts mathematics, calculus, and geometry classroom settings. (40 references)…

Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Cooperative Learning

Peer reviewed

Mathews, Susann M. – Primus, 1991

Describes the mechanics of group work in the college mathematics classroom specifically group formation, preliminary class work, class and group discourse, individual and group assignments, and impact on test taking. Includes examples from a first-semester calculus course. (JJK)

Descriptors: Calculus, Cheating, Classroom Techniques, College Mathematics

Peer reviewed

Schurle, Arlo W. – Primus, 1991

Reports on the differences in two sections of a college course on differential equations. Results on a common examination showed that writing assignments substituted for traditional homework assignments did not improve test performance. However, survey results indicated that students felt the writing assignments, in lieu of additional homework,…

Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Differential Equations

Peer reviewed

Mayfield, Betty – Primus, 2001

Describes the senior seminar in mathematics at Hood College which is a course in the history of mathematics. It is a student-led seminar with students gaining practice in oral presentation, preparing visual aids, and planning a class. (Author/MM)

Descriptors: Course Descriptions, Higher Education, Mathematics History, Mathematics Instruction

Peer reviewed

Lutzer, Carl V. – Primus, 2001

Describes an activity designed to help students develop a good foundation from the beginning of the transition from multivariate calculus to linear algebra. (MM)

Descriptors: Calculus, Higher Education, Learning Activities, Mathematics Education

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