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Zack, Laurie; Fuselier, Jenny; Graham-Squire, Adam; Lamb, Ron; O'Hara, Karen – PRIMUS, 2015
Our study compared a flipped class with a standard lecture class in four introductory courses: finite mathematics, precalculus, business calculus, and calculus 1. The flipped sections watched video lectures outside of class and spent time in class actively working on problems. The traditional sections had lectures in class and did homework outside…
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
Yong, Darryl; Levy, Rachel; Lape, Nancy – PRIMUS, 2015
Flipped classrooms have the potential to improve student learning and metacognitive skills as a result of increased time for active learning and group work and student control over pacing, when compared with traditional lecture-based courses. We are currently running a 4-year controlled study to examine the impact of flipping an Introductory…
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
Kraut, Gertrud L. – PRIMUS, 2015
The inverted classroom allows more in-class time for inquiry-based learning and for working through more advanced problem-solving activities than does the traditional lecture class. The skills acquired in this learning environment offer benefits far beyond the statistics classroom. This paper discusses four ways that can make the inverted…
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
Cilli-Turner, Emily – PRIMUS, 2015
Recent studies have highlighted the positive effects on learning and retention rates that active learning brings to the classroom. A flipped classroom is a type of active learning where transmission of content occurs outside of the classroom environment and problem solving and learning activities become the focus of classroom time. This article…
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
Lutzer, Carl V. – PRIMUS, 2015
We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random. We assume only a basic understanding of probability.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Equations (Mathematics)
Pankavich, Stephen; Swanson, Rebecca – PRIMUS, 2015
Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics,…
Descriptors: Factor Analysis, Mathematics Instruction, College Mathematics, Algebra
Gerhardt, Ira – PRIMUS, 2015
An experiment was conducted over three recent semesters of an introductory calculus course to test whether it was possible to quantify the effect that difficulty with basic algebraic and arithmetic computation had on individual performance. Points lost during the term were classified as being due to either algebraic and arithmetic mistakes…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Calculus
Graham-Squire, Adam; Farnell, Elin; Stockton, Julianna Connelly – PRIMUS, 2014
The Mat-Rix-Toe project utilizes a matrix-based game to deepen students' understanding of linear algebra concepts and strengthen students' ability to express themselves mathematically. The project was administered in three classes using slightly different approaches, each of which included some editing component to encourage the…
Descriptors: College Mathematics, Content Area Writing, Algebra, Educational Games
Soltys, Steve; McClintock, Scott – PRIMUS, 2014
This paper proposes and discusses how to use an assignment based on "Freakonomics" as a way to foster critical thinking and statistical literacy skills within the classroom.
Descriptors: Statistics, Mathematics Instruction, Critical Thinking, Numeracy
Brown, David – PRIMUS, 2014
We describe a course that highlights mathematical experimentation as an introductory course for first year mathematics majors. We discuss the benefits of an experimental approach as an alternate pathway into the mathematics major. We also explain how this course serves as a gentle lead-in to later research experiences.
Descriptors: College Freshmen, Introductory Courses, College Mathematics, Majors (Students)
Bargagliotti, Anna E.; Orrison, Michael E. – PRIMUS, 2014
Increased importance is being placed on statistics at both the K-12 and undergraduate level. Research divulging effective methods to teach specific statistical concepts is still widely sought after. In this paper, we focus on best practices for teaching topics in nonparametric statistics at the undergraduate level. To motivate the work, we…
Descriptors: Nonparametric Statistics, Mathematics Instruction, College Mathematics, Undergraduate Study
Carducci, Olivia M. – PRIMUS, 2014
I have included a service-learning project in my mathematical modeling course for the last 6 years. This article describes my experience with service-learning in this course. The article includes a description of the course and the service-learning projects. There is a discussion of how to connect with community partners and identify…
Descriptors: Mathematical Models, Service Learning, Mathematics Instruction, College Mathematics
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