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Krause, Andrew J.; Maccombs, Ryan J.; Wong, Willie W. Y. – PRIMUS, 2021

Our traditional model of calculus instruction at a large public research university emphasized factual knowledge and procedural fluency with few realistic applications, leaving a chasm between classroom mathematics and disciplinary practice. Amid an ongoing effort by our department to improve undergraduate learning outcomes, we replaced…

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

Hodge, Angie; Wanek, Katie; Rech, Janice – PRIMUS, 2020

In this paper, we will discuss a type of activity that lets the mathematics classroom become a place where students can learn more than mathematical content. Specifically, students can learn interdisciplinary skills in the area of communication (both verbal and non-verbal) and debate skills that are often taught in communication or English…

Descriptors: Interdisciplinary Approach, Communication Skills, Learning Activities, Mathematics Instruction

Bruder, Andrea; Kummel, Miro – PRIMUS, 2019

We present our experience with an open-ended lab activity that we designed for students with a Calculus 1 background. With the goal of learning how scientists study transport in streams, the students collected data on how a pulse of leaves travels down a nearby stream. Students who had little to no experience with data with two independent…

Descriptors: Calculus, Pollution, Inquiry, Problem Based Learning

Breen, Sinéad; O'Shea, Ann – PRIMUS, 2019

Research has shown that the types of tasks assigned to students affect their learning. Various authors have described desirable features of mathematical tasks or of the activity they initiate. Others have suggested task taxonomies that might be used in classifying mathematical tasks. Drawing on this literature, we propose a set of task types that…

Descriptors: Undergraduate Students, Mathematics Instruction, College Mathematics, Learning Activities

Paul, Stepan – PRIMUS, 2018

As three-dimensional (3D) printing technology is fast becoming more affordable and accessible, calculus instructors can now consider using 3D printing and 3D printed models to actively engage students in core concepts relating to objects in R[superscript 3]. This article describes three lessons for a multivariable calculus class in which students…

Descriptors: Manipulative Materials, Calculus, Mathematics Instruction, Visual Aids

Greene, M.; von Renesse, C. – PRIMUS, 2017

This paper aims to illustrate a design cycle of inquiry-based mathematics activities. We highlight a series of questions that we use when creating inquiry-based materials, testing and evaluating those materials, and revising the materials following this evaluation. These questions highlight the many decisions necessary to find just the right tasks…

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

Lockwood, Elise; Swinyard, Craig A. – PRIMUS, 2016

In this paper, we present a set of activities for an introduction to solving counting problems. These activities emerged from a teaching experiment with two university students, during which they reinvented four basic counting formulas. Here we present a three-phase set of activities: orienting counting activities; reinvention counting activities;…

Descriptors: Learning Activities, Undergraduate Students, Teaching Methods, Cues

Alayont, Feryal – PRIMUS, 2014

This article presents a problem-based approach that prepares students for future learning in the classroom. In this approach, students complete problem-based activities before coming to class to familiarize themselves with the topics to be covered. After the discussion on how the use of these activities relate to the learning and transfer…

Descriptors: Problem Based Learning, Learning Activities, Class Activities, Calculus

Mikhaylov, Jessica – PRIMUS, 2011

A hands-on activity can help multivariable calculus students visualize surfaces and understand volume estimation. This activity can be extended to include the concepts of Fubini's Theorem and the visualization of the curves resulting from cross-sections of the surface. This activity uses students as pillars and a sheet or tablecloth for the…

Descriptors: Calculus, College Mathematics, Mathematics Instruction, College Students

Chin, Cynthia E. – PRIMUS, 2007

The history of Fermat's Last Theorem, recounted in the theatrical piece "Fermat's Last Tango," is a useful vehicle for introducing students to the variety of personalities, processes, and products involved in advanced mathematical investigation. The musical's accessible, informative, and positive portrayal of mathematicians and their work is…

Descriptors: High School Students, Teaching Methods, Mathematics Instruction, Mathematical Concepts

Gordon, Sheldon P. – PRIMUS, 2004

In this article, the author describes an individualized term project that is designed to increase student understanding of some of the major concepts and methods in multivariate calculus. The project involves having each student conduct a complete max-min analysis of a third degree polynomial in x and y that is based on his or her social security…

Descriptors: Calculus, Mathematics Instruction, Student Projects, Mathematical Concepts

Peer reviewed

Avioli, John J. – Primus, 1993

Computer labs using Calculus T/L were introduced into Calculus I classes at Christopher Newport University. A description of the labs, the instructor's experiences in using the labs, and student reactions are detailed. Contains instructions for Lab I involving inputting functions, finding difference quotients, and sketching a graph. (Author/MDH)

Descriptors: Calculus, Class Activities, College Mathematics, Computer Assisted 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