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Showing 1 to 15 of 943 results Save | Export
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Ludwig, Patrice; Tongen, Anthony; Walton, Brian – PRIMUS, 2018
James Madison University faculty team-teach an interdisciplinary mathematical modeling course for mathematics and biology students. We have used two different project-based approaches to emphasize the mathematical concepts taught in class, while also exposing students to new areas of mathematics not formally covered in class. The first method…
Descriptors: Mathematics Instruction, Science Instruction, Case Studies, Interdisciplinary Approach
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Lynch, Frank H.; Page, Breeanna S. – PRIMUS, 2018
This paper uses the lens of a calculus student to examine different solutions to a weekly puzzler from the radio show "Car Talk," hosted by Tom and Ray Magliozzi. The puzzler describes an automobile that is traveling 75 miles per hour and is 75 miles from its destination. The trip is completed by traveling 1 mile at 75 miles per hour, 1…
Descriptors: Calculus, Problem Solving, Word Problems (Mathematics), Mathematics Instruction
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Sanft, Rebecca; Ziegler-Graham, Kathryn – PRIMUS, 2018
The Mathematics Practicum has been offered at St. Olaf College for over 30 years. The Practicum is a 4-week, January Interim course where three teams of five students work on consulting problems solicited from area businesses, government agencies, and non-profit organizations. These problems have significant mathematical, statistical, and…
Descriptors: Mathematics Instruction, Practicums, Active Learning, Student Projects
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Shelton, Therese – PRIMUS, 2018
Mathematical modeling allows flexibility for a project-based experience. We share details of our regular capstone course, successful for virtually 100% of our math majors for almost two decades. Our research-like approach in this course accommodates a variety of student backgrounds and interests, and has produced some award-winning student…
Descriptors: Mathematical Models, Mathematics Instruction, Active Learning, Student Projects
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Harwood, R. Corban – PRIMUS, 2018
This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negative experiences implementing projects in the past. Project implementation is given for both lower- and upper-division mathematics courses with an emphasis on mathematical…
Descriptors: Mathematics Instruction, Mathematical Models, Active Learning, Student Projects
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Evans, Riley; Friedman, Jane; McGrath, Lynn; Myers, Perla; Ruiz, Amanda – PRIMUS, 2018
Although the number of bachelor's degrees in the U.S. awarded to women has gone up, engagement of women in science, technology, engineering, and mathematics (STEM) continues to be low. This paper presents a project-based learning program, informed by education research best practices, designed to provide research experiences to female students…
Descriptors: Mathematics Instruction, Females, Active Learning, Student Projects
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Eubanks-Turner, Christina; Beaulieu, Patricia; Pal, Nabendu – PRIMUS, 2018
The Smooth Transition for Advancement to Graduate Education (STAGE) project was a three-year pilot project designed to mentor undergraduate students primarily from under-represented groups in the mathematical sciences. The STAGE pilot project focused on mentoring students as they transitioned from undergraduate education to either graduate school…
Descriptors: Graduate Study, Transitional Programs, Disproportionate Representation, Pilot Projects
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DeDieu, Lauren; Lovric, Miroslav – PRIMUS, 2018
The use of writing to learn mathematics at the university-level is a pedagogical tool that has been gaining momentum. The setting of this study is a second-year differential equations class where written assignments have been incorporated into the course. By analyzing survey results and students' written work, we examine the extent to which…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Equations (Mathematics)
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Williams, Kristopher – PRIMUS, 2018
This article describes a system of specifications-based grading used in an introduction to proofs course. The system was introduced to address two issues that arose in the course: how to spend less time grading and how to encourage use of feedback. We describe the implementation of the system and the results on grading and on students.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Validity
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Hendrickson, Anders O. F. – PRIMUS, 2018
Teaching determinants poses significant challenges to the instructor of a proof-based undergraduate linear algebra course. The standard definition by cofactor expansion is ugly, lacks symmetry, and is hard for students to use in proofs. We introduce a visual definition of the determinant that interprets permutations as arrangements of…
Descriptors: Mathematical Concepts, Mathematics Instruction, College Mathematics, Algebra
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Shannon, Kathleen – PRIMUS, 2018
This paper describes, as an alternative to the Moore Method or a purely flipped classroom, a student-driven, textbook-supported method for teaching that allows movement through the standard course material with differing depths, but the same pace. This method, which includes a combination of board work followed by class discussion, on-demand brief…
Descriptors: Mathematics Instruction, Textbooks, Mathematics, Portfolio Assessment
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Pourciau, Bruce – PRIMUS, 2018
In a first proof-oriented mathematics course, students will often ask questions--for example, "What is this problem asking me to do?" or "What would a proof of this even look like"--that have more to do with logic than mathematics. The logical structure of a proof is a dance involving those basic logical forms--such as "p…
Descriptors: Mathematical Logic, Problem Solving, Undergraduate Students, Majors (Students)
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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
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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
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Herrera, Christine A.; McCabe, Terrance; Strictland, Sharon; White, Alexander – PRIMUS, 2018
In an undergraduate analysis course taught by one of the authors, three prompts are regularly given: (i) What do we know? (ii) What do we need to show? (iii) Let's draw a picture. We focus on the third prompt and its role in helping students develop their confidence in learning how to construct proofs. Specific examples of visual models and their…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Mathematics Skills
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