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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

Spindler, Richard – PRIMUS, 2019

Project-based learning supports unique and authentic problems in differential equations courses. An intuitive, interesting and deep differential equations project is described. The description illustrates a case study of guiding students through a complex project and the technical and personal rewards gained from it. Valuable advice is provided to…

Descriptors: Student Projects, Calculus, Equations (Mathematics), Mathematics Instruction

Linhart, Jean Marie – PRIMUS, 2019

This article describes a method for using the United States Census data to open a differential equations course. The question of finding a model for the United States population data gives students a first experience with creating a model using differential equations, and also understanding derivatives, what they mean, and how to calculate them in…

Descriptors: Census Figures, Equations (Mathematics), Calculus, Mathematical Models

Livingston, Colleen – PRIMUS, 2019

This paper describes an activity using a dog treat ball to introduce systems of first-order differential equations. Beads are placed in the first of two hemispherical chambers of a food-dispensing dog toy. As the ball is turned, students track the number of beads in the first chamber, the second chamber, and the exterior of the ball. Students…

Descriptors: Calculus, Equations (Mathematics), Spreadsheets, Toys

Sears, Ruthmae; Kersaint, Gladis; Burgos, Fernando; Wooten, Rebecca – PRIMUS, 2019

This article describes reflections of two mathematicians and a mathematics teacher educator who collaborated on the development and implementation of courses (probability and statistics connections, number concept connections, and middle school mathematics methods) for middle school mathematics preservice teachers. The instructors of the courses,…

Descriptors: Middle School Mathematics, Preservice Teachers, Knowledge Level, Mathematics Education

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

Karst, Nathaniel; Slegers, Rosa – PRIMUS, 2019

Many of the applied mathematics courses we teach touch upon a range of rich and important ethical issues -- issues that, for a number of reasons, are rarely openly discussed in class. In this work, we describe a sequence of activities co-designed and co-taught by philosophy and mathematics faculty in the hopes of bridging the divide between the…

Descriptors: Team Teaching, Ethics, Mathematics Instruction, Technology

White, David – PRIMUS, 2019

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents a model that a mathematician asked to teach statistics can follow. This model entails connecting with faculty…

Descriptors: Mathematics Instruction, College Mathematics, Student Projects, Teaching Methods

Greer, M. L. – PRIMUS, 2019

"Mathematics Across the Sciences" is an applications-based course designed to strengthen students' mathematical skills in preparation for calculus or for a major in the sciences. Its development relied heavily on input from faculty members in several science departments. This article describes the course; many of the scientific…

Descriptors: Interdisciplinary Approach, Inclusion, Mathematics Skills, Calculus

Pinter, Mike; Jones, Linda – PRIMUS, 2019

We describe a successful collaboration between mathematics and psychological science faculty members to create a learning community for our students that linked sections of introductory mathematical reasoning and psychological science courses. The students in our learning community were in their second or third semester. The learning community is…

Descriptors: Mathematics Instruction, College Mathematics, Interdisciplinary Approach, College Faculty

Fisher, Forest; Warner, Jared; Mickelson, Nate – PRIMUS, 2019

Gentrification is a complex issue with very real repercussions for urban youth. Games make learning fun and provide a way for students to explore complex systems through recursive play. We describe a board game designed to help students explore ratios and proportional reasoning while simultaneously engaging the causes and effects of…

Descriptors: Disadvantaged, Social Class, Change, Middle Class

Dame, L.; Aryal, B.; Huq, A.; Prat-Resina, X. – PRIMUS, 2019

Students entering health sciences programs may face challenges on their road to successful completion and possible entry to medical school in the area of preparedness in quantitative skills. At our institution, faculty analyzed evidence of these challenges including performance on the ACT Math Test, an in-house math placement test and quantitative…

Descriptors: College Faculty, Undergraduate Students, Science Instruction, Algebra

Cardetti, Fabiana; LeMay, Steven – PRIMUS, 2019

In this article we present the results of a study focused on engaging students in argumentation to support their growth as mathematical learners, which in turn strengthens their science learning experiences. We identify five argumentation categories that promote the learning of argumentation skills and enrich mathematical reasoning at the…

Descriptors: Persuasive Discourse, Abstract Reasoning, Mathematics Skills, Science Process Skills

Diaz Eaton, C.; Highlander, H. C.; Dahlquist, K. D.; Ledder, G.; LaMar, M. D.; Schugart, R. C. – PRIMUS, 2019

Despite widespread calls for the incorporation of mathematical modeling into the undergraduate biology curriculum, there is lack of a common understanding around the definition of modeling, which inhibits progress. In this paper, we extend the "Rule-of-Four," initially used in calculus reform efforts, to a "Rule-of-Five"…

Descriptors: Student Improvement, Undergraduate Students, Interdisciplinary Approach, Academic Language

Dray, Tevian; Gire, Elizabeth; Kustusch, Mary Bridget; Manogue, Corinne A.; Roundy, David – PRIMUS, 2019

Calculus, as commonly taught, describes certain operations on explicit functions, but science relies on experimental data, which is inherently discrete. In the face of this disparity, how can we help students transition from lower-division mathematics courses to upper-division coursework in other STEM disciplines? We discuss here our efforts to…

Descriptors: Calculus, Physics, Majors (Students), Science Instruction