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Kindle, Jennifer; Gentimis, Thanos – PRIMUS, 2018

At Florida Polytechnic University, a STEM University founded in 2014, Calculus I is the first mathematics course required by students in every major. In order to ensure students received the support necessary for Calculus I, an online Primer course was developed. The course, which is housed in the online platform CANVAS, targets specific topics…

Descriptors: College Mathematics, Calculus, Undergraduate Students, Educational Technology

Reinholz, Daniel L. – PRIMUS, 2018

Large lecture halls are a common feature of many undergraduate mathematics programs. However, teaching effectively in a large lecture hall can be challenging. This paper discusses the use of personal whiteboards for students as a way to make large lecture halls a more productive learning environment. I discuss the logistics of using whiteboards,…

Descriptors: Undergraduate Study, College Mathematics, Teaching Methods, Lecture Method

Lovric, Miroslav – PRIMUS, 2018

We discuss teaching and learning situations that surfaced when computer programming and mathematics were brought together in a course where students write computer code to explore mathematics problems. Combining programming and mathematics creates a rich ecosystem which, on top of traditional mathematics activities (writing solutions, proofs,…

Descriptors: Programming, Mathematics Instruction, College Mathematics, Problem Solving

Combs, Randy; Bingham, Teri; Roper, Taylor – PRIMUS, 2018

In this paper I discuss my experience in using the inverted classroom structure to teach a proof-based, upper level Advanced Calculus course. The structure of the inverted classroom model allows students to begin learning the new mathematics prior to the class meeting. By front-loading learning of new concepts, students can use valuable class time…

Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic

Malmstrom, Hans; Eriksson, Dennis – PRIMUS, 2018

This paper reports observations and reflections from a pedagogic intervention intended to enhance mathematics students' learning of course content in a course in multivariable calculus. The intervention design required students to structure, practice, and deliver an oral presentation that was a synthesis of the teacher's weekly lectures, for the…

Descriptors: Mathematics Instruction, Teaching Methods, Undergraduate Students, Calculus

Patterson, Brian; McBride, C. Rett; Gieger, J. Lynn – PRIMUS, 2018

We explored the effectiveness of a flipped active learning pedagogy in a liberal arts mathematics course without video or interactive preparation. In both control and active learning classes, students were required to respond to a reading before class and take a quiz after class. During the active learning class, students worked together in groups…

Descriptors: Homework, Mathematics Instruction, Active Learning, Liberal Arts

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

Berger, Lisa – PRIMUS, 2018

In this article we address the Common Core State Standard for Mathematical Practice: Attend to Precision. We describe work in mathematics content courses for pre-service and inservice teachers focused on developing teachers' understanding of mathematical definitions. We discuss teachers' work in developing definitions for students at various…

Descriptors: Mathematics Instruction, Mathematical Concepts, Definitions, Preservice Teachers

Kadas, Z. – PRIMUS, 2018

We make a case for including difference equations, in particular the discrete logistic equation, in basic differential equations courses. Contrasting the behavior of discrete and continuous models enriches students' understanding of both modeling and differential equations. To facilitate sharing discrete population models with students, some…

Descriptors: Equations (Mathematics), Mathematics Instruction, College Mathematics, Undergraduate Study

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

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)

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

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

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

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)