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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

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

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

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

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

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

Dwyer, Dave; Gruenwald, Mark; Stickles, Joe; Axtell, Mike – PRIMUS, 2018

Resequencing Calculus is a project that has reordered the typical delivery of Calculus material to better serve the needs of STEM majors. Funded twice by the National Science Foundation, this project has produced a three-semester textbook that has been piloted at numerous institutions, large and small, public and private. This paper describes the…

Descriptors: Undergraduate Students, STEM Education, Majors (Students), Calculus

Crawford, Pam; Moseley, Daniel; Nancarrow, Mike; Ward, Erika – PRIMUS, 2018

One of the greatest challenges facing students new to calculus is the ability to persevere in the face of failure. Whether the student is choosing an integration technique or a series test, calculus is often the first course in mathematics where the path to the solution is not prescribed in an algorithmic way. At Jacksonville University we…

Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Active Learning

Bode, A. Martina – PRIMUS, 2018

This case study details the integration of an online grading platform in a Calculus program. Initially implemented to increase the efficiency and quality of grading written assessments in a large undergraduate program, the effects were many and surprising. Two main concerns surfaced that we needed to address, namely: (1) consistency in grading;…

Descriptors: Cooperative Learning, Grading, Calculus, Mathematics Instruction

Schroeder, Larissa Bucchi; McGivney-Burelle, Jean; Haruta, Mako E.; Xue, Fei – PRIMUS, 2018

At the University of Hartford we transformed our approach to Calculus I--moving it away from a lecture-dominant format to one that focuses squarely on students solving problems and discussing and presenting their mathematical ideas for the majority of class time. In this article, we discuss our Flipping Calculus project and how a departmental…

Descriptors: College Mathematics, Calculus, Mathematics Curriculum, Curriculum Development

Apkarian, Naneh; Bowers, Janet; O'Sullivan, Michael E.; Rasmussen, Chris – PRIMUS, 2018

This article presents a case study that details the successes and lessons learned by faculty and administrators at San Diego State University (SDSU) who are in the process of implementing a substantial improvement to the Precalculus to Calculus 2 sequence. Improvement efforts have been informed by national studies of successful programs and center…

Descriptors: Case Studies, Mathematics Instruction, Calculus, College Faculty

AsKew, A.; Kennedy, K.; Klima, V. – PRIMUS, 2018

In this article we discuss relationships between the cyclic group Z[subscript 12] and Western tonal music that is embedded in a 12-note division of the octave. We then offer several questions inviting students to explore extensions of these relationships to other "n"-note octave divisions. The answers to most questions require only basic…

Descriptors: Arithmetic, Music Theory, Correlation, Numbers

Adams, Caleb; Dove, Anthony – PRIMUS, 2018

This assessment study examined one potential instructional method for improving student learning in Calculus for majors, flipped learning, in comparison with traditional lecture-based instruction. Results suggest that participation in flipped learning substantially improved growth in achievement over the semester, final exam grades, and final…

Descriptors: Calculus, Mathematics Instruction, Academic Achievement, Student Attitudes

Pilgrim, M. E.; Gehrtz, J. – PRIMUS, 2018

In an effort to improve upon Calculus I instruction at our institution, we designed a pilot study that incorporated a variety of evidence-based classroom practices. The goal was not to formally test known successful teaching interventions. Rather, the purpose was to develop and identify course materials and instructional methods that would not…

Descriptors: Mixed Methods Research, Calculus, Mathematics Instruction, Teaching Assistants

Champion, Joe; Mesa, Vilma – PRIMUS, 2018

In this paper, we present findings from a preliminary analysis of transcript data in the High School Longitudinal Study (HSLS:09), a large-scale longitudinal investigation of academic achievement among U.S. high school students. Using proportional flow diagrams of course-taking patterns, we illustrate differences in calculus completion associated…

Descriptors: Calculus, Mathematics Instruction, Longitudinal Studies, High School Students