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Malagon, Audrey – PRIMUS, 2023

The mathematical egg hunt is a hands-on activity designed to help students understand mathematical relations in an Introduction to Proofs course. This activity gives students the opportunity to practice selecting which ordered pairs do and do not belong to a given relation in a moderately competitive egg hunt. It is designed to be low-stakes, yet…

Descriptors: Mathematics Education, Active Learning, Mathematical Logic, Validity

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

Klebanoff, Aaron – Primus, 1997

Describes a project involving a short car trip in which students experience an early opportunity to work in teams, think about mathematics, gather and analyze speed and distance data, and produce a report on their findings. Provides a typical-authored solution. (Author/ASK)

Descriptors: Calculus, Data Collection, Higher Education, Mathematical Concepts

Peer reviewed

Craighead, Robert L., Jr.; Fleck, Cynthia – Primus, 1997

Presents an experiment to design a precalculus topic that would help prepare students for limits in differential calculus. Emphasizes the topic to enhance the interpretation of graphs and to be applicable in both technology-based and traditional precalculus courses. Uses graphing calculators to help students observe the results of their…

Descriptors: Calculus, Educational Technology, Functions (Mathematics), Graphing Calculators

Peer reviewed

Gray, Shirley B.; Mena, Robert A. – Primus, 1997

Presents activities that engage students and promote discussion emphasizing the history of mathematics, diversity, and multiculturalism. Six activities included are Crossword Puzzle, Date of Event, Quotes Matching, Famous Mathematical Expressions, Calendar Scramble, and Map Puzzle. Also lists related World Wide Web sites. Contains 15 references.…

Descriptors: Educational Games, Higher Education, Integrated Activities, Mathematical Concepts

Peer reviewed

Graham, Jeff; Barnes, Julia – Primus, 1997

Argues that although differential equations are billed as applied mathematics, there is rarely any hands-on experience incorporated into the course. Presents a laboratory project that requires students to obtain data from a physics lab and use that data to compute the coefficients of the second order differential equation, which mathematically…

Descriptors: Data Collection, Differential Equations, Electric Circuits, Experiential Learning

Peer reviewed

Harris, Gary A.; Tarwater, J. Dalton – Primus, 1997

Describes a nine-hour, three-sequence mathematics course in the elementary teacher certification program at Texas Tech University. Emphasizes the development, philosophy, design, and implementation of the sequence. Presents excerpts from the activities and group exercises outlined for the course. Contains 15 references. (Author/ASK)

Descriptors: Course Descriptions, Elementary Education, Elementary School Teachers, Higher Education