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Reinholz, Daniel L. – PRIMUS, 2020

This article describes an inquiry-oriented real analysis classroom in which students were guided to discover mathematics for themselves. To support student inquiry, the framework of "five practices" from K-12 education was used. To illustrate this framework, two case examples are given from actual discussions that took place in this…

Descriptors: Mathematics Instruction, Teaching Methods, Inquiry, Mathematical Concepts

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

Ekici, Celil; Plyley, Chris – PRIMUS, 2019

Following a modeling-first approach to differential equations, inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors. Emerging exemplary practices are presented, building towards a balanced teaching of differential equations involving…

Descriptors: Calculus, Mathematics Instruction, Inquiry, Mathematical Models

Rasmussen, Chris; Dunmyre, Justin; Fortune, Nicholas; Keene, Karen – PRIMUS, 2019

This article provides an overview of a modeling sequence that culminates in student reinvention of a bifurcation diagram. The sequence is the result of years of classroom-based research and curriculum development grounded in the instructional design theory of Realistic Mathematics Education. The sequence of modeling tasks and examples of student…

Descriptors: Mathematical Models, Teaching Methods, Mathematics Instruction, Inquiry

Shelton, Therese; Laurent, Theresa; Agyemang-Barimah, Beulah – PRIMUS, 2019

We present adaptable activities for models of drug movement in the human body -- pharmacokinetics -- that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models,…

Descriptors: Equations (Mathematics), Active Learning, Calculus, Pharmacology

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

Branson, Mark – PRIMUS, 2019

Mathematics has a unique and powerful role to play in the teaching of social justice issues. There is substantial quantitative evidence for social injustice, but many citizens lack the quantitative skills to understand that evidence. A course in quantitative literacy is a unique opportunity to provide this quantitative understanding to a wide…

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

Carreon, Fernando; DeBacker, Stephen; Kessenich, Paul; Kubena, Angela; LaRose, P. Gavin – PRIMUS, 2018

In the abstract for "Calculus for a New Century: A Pump, Not a Filter," Lynn Steen wrote: "The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of…

Descriptors: Mathematics Instruction, Calculus, Active Learning, Inquiry

Davis, Diana – PRIMUS, 2018

We describe a case study of a problem-solving section, using the "Harkness" discussion method, of an honors multivariable calculus course. Students in the problem-solving section had equivalent outcomes on exams, reported higher ratings in self-assessments of skills, and took more math classes in the following year, compared with…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Students, Inquiry

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

Cushman, Jane R.; Gantner, Ryan; George, C. Yousuf; Morrow, Margaret L.; Rault, Patrick X. – PRIMUS, 2018

What began as a small group of professors gathering to discuss implementation of Inquiry-Based Learning (IBL) in our classes has developed into a strong regional community of practice. Through a generous grant and a lot of hard work, we created the Greater Upstate New York IBL consortium with a mission to create, grow, and maintain a community of…

Descriptors: College Mathematics, Inquiry, Teaching Methods, Communities of Practice

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

Kuster, George; Johnson, Estrella; Keene, Karen; Andrews-Larson, Christine – PRIMUS, 2018

Research has highlighted that inquiry-based learning (IBL) instruction leads to many positive student outcomes in undergraduate mathematics. Although this research points to the value of IBL instruction, the practices of IBL instructors are not well-understood. Here, we offer a characterization of a particular form of IBL instruction:…

Descriptors: Inquiry, Educational Principles, Active Learning, Outcomes of Education

El Turkey, Houssein; Tang, Gail; Savic, Milos; Karakok, Gulden; Cilli-Turner, Emily; Plaxco, David – PRIMUS, 2018

A growing body of mathematics education research points to the importance of fostering students' mathematical creativity in undergraduate mathematics courses. However, there are not many research-based instructional practices that aim to accomplish this task. Our research group has been working to address this issue and created a formative…

Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Creativity

Helmreich, James E.; Krog, K. Peter – PRIMUS, 2018

We present a short, inquiry-based learning course on concepts and methods underlying ordinary least squares (OLS), least absolute deviation (LAD), and quantile regression (QR). Students investigate squared, absolute, and weighted absolute distance functions (metrics) as location measures. Using differential calculus and properties of convex…

Descriptors: Least Squares Statistics, Regression (Statistics), Active Learning, Inquiry