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Bossé, Michael J.; Cook, William J.; Castonguay, Joseph M. – PRIMUS, 2020

Following a line of inquiry regarding the exact number of real roots of a real polynomial, this investigation considers: Descartes' Rule of Signs, the Budan-Fourier Theorem, and versions of Sturm's Method in contrast with the approximate root count gleaned from graphing utilities. Online applets are provided to allow the reader to freely…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Educational Technology

Le, Phong – PRIMUS, 2020

Local community organizations with data and statistical needs provide beneficial authenticity and context in the classroom. Students can provide creative, broad perspectives to problems and issues relevant to those organizations. This paper describes characteristics of mutually beneficial relationships between classes and community partners.…

Descriptors: Statistics, Partnerships in Education, School Community Relationship, Low Income Groups

Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2020

This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to hypothesis testing to increase student understanding of the concepts and methods in elementary statistics courses. The article considers hypothesis tests for the population mean with large or…

Descriptors: Hypothesis Testing, Computer Software, Educational Technology, Technology Uses in Education

Eklund, Holly – PRIMUS, 2020

The purpose of this paper is to explain a newly implemented interactive delivery model for students at the Colorado School of Mines (Mines) repeating Calculus for Scientists & Engineers I during the spring of 2017. Since calculus is a necessary component for so many STEM degrees, it will continue to be a gateway to obtaining such degrees and…

Descriptors: Teaching Methods, Delivery Systems, Calculus, Scientists

Bagley, Spencer – PRIMUS, 2020

The flipped classroom model interchanges the roles of in-class and out-of-class time to allow students more time to engage with cognitively demanding tasks when expert help from their instructor is more available. An extensive body of literature supports the effectiveness of this model. In contrast, I present a case study of a less-successful…

Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology

Krouss, Paul; Lesseig, Kristin – PRIMUS, 2020

Introductory and remedial courses in college mathematics often serve as a gateway to student success. However, these university courses have seen little innovation despite historically low success rates. We sought to address deficits of the traditional lecture model and enhance student learning in an introductory college algebra course through the…

Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology

Ackerman, Michael; Fenton, William E.; Raymond, Anne M. – PRIMUS, 2020

A Mathematics Department Chair plays many roles within the department and within the university as a whole. Facilitating the development and teaching of mathematics services courses requires working with mathematics faculty as well as members of other departments on campus. In this paper, we discuss many issues related to the Department Chair's…

Descriptors: Department Heads, Administrator Role, Mathematics Instruction, Course Content

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

Anderson, Jeffrey A.; McCusker, Michael V. – PRIMUS, 2019

We present a new learning activity that enables students to apply eigenvalue theory to investigate a practical modeling problem. We demonstrate how to build a spring-coupled pair of pendula and describe how students can measure the movements of these pendula using open-source image processing software. We then illustrate how to analyze this…

Descriptors: Mathematics Instruction, College Mathematics, Experiential Learning, Learning Activities

Soto-Johnson, Hortensia; Hancock, Brent – PRIMUS, 2019

Although students may develop extensive geometric intuition about derivatives during calculus, many complex analysis texts avoid geometric connections between the real and complex derivative. In this report, we discuss our implementation of, and student responses to, a Geometer's Sketchpad lab that was informed by mathematics education research.…

Descriptors: Mathematics Instruction, College Mathematics, Geometric Concepts, Educational Technology

Klima, V. – PRIMUS, 2019

As teachers of mathematics we encourage our students to ask good questions, and we strive to help our students find and understand answers to these questions. This journey can be made more meaningful if students conclude by reflecting on their learning process. If we find careful questioning and reflection important, we should include such…

Descriptors: Homework, Mathematics Instruction, College Mathematics, Color

Dunmyre, Justin R. – PRIMUS, 2019

In this paper, I present a homework system that supports a flipped classroom environment using only a textbook for students' first contact with the material. Motivated by David Pengelley's homework system, each unit of material has four key components: Core Assignments, Conceptual Assignments, In-class Worksheets, and Follow-up Assignments. The…

Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology

OShaughnessy, J. – PRIMUS, 2019

This paper investigates the advantages of using a two-step homework system. First, technology is used to collect and grade traditional homework. Then, students are expected to present and explain problems from their assignments in class. Several versions of implementation are discussed for different course levels and sizes. Through these methods,…

Descriptors: Mathematics Instruction, College Mathematics, Homework, Educational Technology

Shaw, Christopher – PRIMUS, 2018

We present a short-term class project used in an introductory linear algebra course, designed to engage students in matrix algebra. In this activity, students responded to a survey of their pop culture tastes. Using the survey responses, they worked to design a series of matching algorithms, using matrices, with the goal of matching the students…

Descriptors: Algebra, Mathematics Instruction, Matrices, Popular Culture

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