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Alexander, Nathan N.; Teymuroglu, Zeynep; Yerger, Carl R. – PRIMUS, 2019

This article explores how critical conversations engage undergraduate mathematics faculty in a community of practice that enhances their knowledge about teaching and learning mathematics for social justice. More broadly, critical conversations are defined as a cooperative learning strategy that can be used to identify, explore, and respond to…

Descriptors: Mathematics Instruction, Social Justice, College Faculty, Communities of Practice

berg, jenn; Buell, Catherine A.; Day, Danette; Evans, Rhonda – PRIMUS, 2019

As an interdisciplinary team, we set out to create an applied statistics course that would cover the traditional introductory statistics topics in a consistent framework of social justice. The goal was to motivate students to understand and learn math while deepening their understanding of the interplay, at local and global levels, between social…

Descriptors: Mathematics Instruction, Social Justice, Interdisciplinary Approach, College Mathematics

Hoke, Kathy; Keough, Lauren; Wares, Joanna – PRIMUS, 2019

In the calculus classroom, integrating applications with the theoretical and procedural conveys the relevance of the material. Since Newton and Leibniz developed calculus in the context of physics and astronomy, applications in these fields tend to predominate. To engage and excite our students, pedagogical considerations must include broader…

Descriptors: Mathematics Instruction, College Mathematics, Teaching Methods, Calculus

O'Donovan, Barbara; Geary, Krisan – PRIMUS, 2019

Income inequality is a central social justice concern, and hence excellent motivation for real-world applications in mathematics classrooms at every level. We describe the "Mathematics for Social Justice" course at Saint Michael's College, giving a specific example of one of the typical social justice projects for the course, and showing…

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

Unfried, Alana; Canner, Judith – PRIMUS, 2019

Many students experience mathematics as a neutral entity, without understanding its impact on social justice and equity. Students must understand that mathematics and statistics are powerful tools for creating social change, and that students themselves are capable to enact positive social change through their mathematical abilities. In this…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Social Justice

Melkonian, Vardges – PRIMUS, 2019

This paper discusses a game that can be used for introducing the binary representation of integers in an interactive and fun environment. The game is introduced in the way it is presented in an undergraduate Discrete Mathematics class. Variations of the game are discussed, particularly its extension to base-three representation of integers. It is…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Educational Games

Kostadinov, Boyan; Thiel, Johann; Singh, Satyanand – PRIMUS, 2019

The goal of this paper is to promote the use of R and Python as high-level, free, open-source programming environments that can be used as a computational and visualization tool for teaching differential equations. Both R and Python also allow for creating reproducible dynamic documents using Markdown, which combines live code, plain text, and…

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

Singh, Satyanand – PRIMUS, 2019

We show that the total distance traveled by an under-damped oscillating spring mass system with sinusoidal displacement results in a nice, closed-form expression.

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Concepts

Clark, Thomas J. – PRIMUS, 2019

The first day of many mathematics classes is filled with the formalities of the syllabus and a lecture introduction to the course content. Here, an alternative is presented where modeling is placed as the centerpiece to orient students to the work of differential equations; namely, to capture as beautifully and compactly as possible through the…

Descriptors: Equations (Mathematics), Calculus, Mathematical Models, College Mathematics

Hirst, H.; Palmer, K. – PRIMUS, 2019

The authors describe working with partner disciplines during the process of updating mathematics courses for the general education quantitative literacy requirement. The conversations resulted in significant changes to the business calculus course and a rich listing of applications to be incorporated into the college algebra course from technical…

Descriptors: Mathematics Instruction, College Mathematics, Algebra, Calculus

Bliss, Karen M.; Galluzzo, Benjamin J.; Kavanagh, Kathleen R.; Skufa, Joseph D. – PRIMUS, 2019

To promote and facilitate the teaching of math modeling throughout the K-16 setting, the Consortium for Mathematics and Its Applications and the Society for Industrial and Applied Mathematics recently published the GAIMME (Guidelines for Assessment and Instruction in Mathematical Modeling Education) Report. This paper provides insight into how the…

Descriptors: Mathematical Models, Undergraduate Study, Mathematics Instruction, Elementary Secondary Education

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

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

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

Isihara, Paul; Congdon, Elisabeth; Perciante, Terry – PRIMUS, 2018

Within the undergraduate mathematics curriculum, the topic of simple least-squares linear regression is often first encountered in multi-variable calculus where the line of best fit is obtained by using partial derivatives to find the slope and y-intercept of the line that minimizes the residual sum of squares. A markedly different approach from…

Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Least Squares Statistics