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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

White, D.; Sullivan, E. – PRIMUS, 2018

Teaching teachers to participate in mathematical inquiry has the potential to both transform belief systems about mathematics and to transform teachers from consumers of mathematics to producers of mathematics. The focus of this paper is to describe the use of a problem, based on a non-traditional binary operation, to encourage and teach…

Descriptors: Inquiry, Preservice Teachers, Inservice Teacher Education, Problem Solving

Daugulis, Peteris; Sondore, Anita – PRIMUS, 2018

Efficient visualizations of computational algorithms are important tools for students, educators, and researchers. In this article, we point out an innovative visualization technique for matrix multiplication. This method differs from the standard, formal approach by using block matrices to make computations more visual. We find this method a…

Descriptors: Mathematics Instruction, Matrices, Visualization, Multiplication

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

Buell, Catherine A.; Greenstein, Steven; Wilstein, Zahava – PRIMUS, 2017

It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…

Descriptors: Inquiry, Active Learning, Mathematics, Mathematics Instruction

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

Dorff, Michael; Henrich, Allison; Pudwell, Lara – PRIMUS, 2017

Undergraduate research occurs in a variety of mathematical fields and in diverse settings, but all mentors of undergraduates face a number of common considerations. This article is a brief guide to help faculty with various levels of previous mentoring experience lead students in research projects. In particular, we discuss the issues of picking…

Descriptors: Undergraduate Students, Mentors, Mathematics Instruction, Mathematics Teachers

Abbasian, Reza O.; Sieben, John T. – PRIMUS, 2016

In this paper we present a short tutorial on creating mini-videos using two platforms--PCs and tablets such as iPads--and software packages that work with these devices. Specifically, we describe the step-by-step process of creating and editing videos using a Wacom Intuos pen-tablet plus Camtasia software on a PC platform and using the software…

Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Video Technology

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

Smith, Michael D. – PRIMUS, 2016

The purpose of this article is to share a new approach for introducing students to the definition and standard examples of Abelian groups. The definition of an Abelian group is revised to include six axioms. A bullseye provides a way to visualize elementary examples and non-examples of Abelian groups. An activity based on the game of Jenga is used…

Descriptors: Undergraduate Study, College Mathematics, Games, Manipulative Materials

Kuiper, Shonda R.; Carver, Robert H.; Posner, Michael A.; Everson, Michelle G. – PRIMUS, 2015

The term "flipped" or "inverted" classroom includes a broad range of pedagogical innovations, and has recently received a significant amount of press. Although flipping an entire course might be a more extreme step than most are able to take, we discuss modular ideas for change that can be more easily implemented. This paper…

Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology

Strayer, Jeremy F.; Hart, James B.; Bleiler, Sarah K. – PRIMUS, 2015

In this article, we share a model of flipped instruction that allowed us to gain a window into our students' mathematical thinking. We depict how that increased awareness of student thinking shaped our mathematics instruction in productive ways. Drawing on our experiences with students in our own classrooms, we show how flipped instruction can be…

Descriptors: College Mathematics, Undergraduate Study, Technology Uses in Education, Video Technology

Carney, Debra; Ormes, Nicholas; Swanson, Rebecca – PRIMUS, 2015

In this article we describe a partially flipped Introductory Linear Algebra course developed by three faculty members at two different universities. We give motivation for our partially flipped design and describe our implementation in detail. Two main features of our course design are team-developed preview videos and related in-class activities.…

Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Educational Technology