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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
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McNicholl, T. H.; Frank, K.; Hogenson, K.; Roat, J.; Carlson, M. P. – PRIMUS, 2021
We discuss an implementation of the research-based Pathways precalculus curriculum in a large-lecture format supported by recitations, clickers, and online homework. We describe our approach to adapting the implementation of Pathways precalculus from a small class to a large lecture instructional format. We report data on student learning and…
Descriptors: Mathematics Instruction, College Mathematics, Teaching Methods, Calculus
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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
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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
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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
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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
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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
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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
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McGee, Daniel; Moore-Russo, Deborah; Martinez-Planell, Rafael – PRIMUS, 2015
Reviewing numerous textbooks, we found that in both differential and integral calculus textbooks the authors commonly assume that: (i) students can generalize associations between representations in two dimensions to associations between representations of the same mathematical concept in three dimensions on their own; and (ii) explicit…
Descriptors: Mathematics Instruction, Calculus, Undergraduate Study, College Mathematics
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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
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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
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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
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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
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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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Hilbert, Stephen; And Others – Primus, 1993
Discusses a pedagogical approach to calculus based on the question: What kinds of problems should students be able to solve? Includes a discussion of types of problems and curriculum threads for such a course. Describes a projects-based calculus with examples of projects and classroom activities. (Author/MDH)
Descriptors: Calculus, Class Activities, College Mathematics, Higher Education
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