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Lewis, Drew; Clontz, Steven; Estis, Julie – PRIMUS, 2021

Team-Based Learning (TBL) is a cooperative learning strategy blending elements of flipped learning, inquiry-based learning, and problem-based learning. Although used quite frequently in other disciplines, use of this strategy in mathematics has been limited. In this article, we describe how TBL can be implemented in math courses with adherence to…

Descriptors: Cooperative Learning, Inquiry, Active Learning, Flipped Classroom

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

Helmreich, James E.; Krog, K. Peter – PRIMUS, 2018

We present a short, inquiry-based learning course on concepts and methods underlying ordinary least squares (OLS), least absolute deviation (LAD), and quantile regression (QR). Students investigate squared, absolute, and weighted absolute distance functions (metrics) as location measures. Using differential calculus and properties of convex…

Descriptors: Least Squares Statistics, Regression (Statistics), Active Learning, Inquiry

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

Kenyon, Paula L.; Bardzell, Michael J. – Primus, 2001

Summarizes an interdisciplinary undergraduate research project involving experimental physics and calculus and illustrates how mathematics was used to finesse incomplete experimental information and maximize physical quantity known as jerk. Describes how calculus can be applied in the "real world" where functions are not always given by nice…

Descriptors: Calculus, Higher Education, Integrated Activities, Interdisciplinary Approach

Peer reviewed

Kerley, Lyndell; Knisley, Jeff – Primus, 2001

Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom justified. Uses the data itself to motivate mathematical models in introductory mathematics courses. Illustrates various regression and optimization techniques. (Author/ASK)

Descriptors: College Mathematics, Higher Education, Mathematical Models, Mathematics Instruction

Peer reviewed

Dancis, Jerome – Primus, 2001

Students in a freshmen calculus course should become fluent in modeling physical phenomena represented by integrals, in particular geometric formulas for volumes and arc length and physical formulas for work. Describes how to train students to became fluent in such modeling and derivation of standard integral formulas. Indicates that these lessons…

Descriptors: Calculus, College Mathematics, Higher Education, Mathematical Models

Peer reviewed

Allen, David – Primus, 2001

Shares a series of problems designed to provide students with opportunities to develop an understanding of applications of the definite integral. Discourages Template solutions, solutions in which students mimic a rehearsed strategy without understanding as the variety of problems helps prevent the construction of a template. (Author/ASK)

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

Peer reviewed

Pilzer, Scott – Primus, 2001

Explores a method of teaching called Peer Instruction. Describes how Peer Instruction was implemented in physics and summarizes the results. Discusses the way in which Peer Instruction was modified to be used in an introductory single variable calculus course. (Author/ASK)

Descriptors: Calculus, Higher Education, Mathematics Education, Peer Teaching

Peer reviewed

Lehmann, Joel; Gillman, Rick – Primus, 1998

Presents a summary of insights gained by the authors after a semester of collaborative teaching. Emphasizes pedagogical and administrative insights. (Author/ASK)

Descriptors: Cooperative Learning, Higher Education, Mathematics Instruction, Professional Development