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Apkarian, Naneh; Kirin, Dana; Gehrtz, Jessica; Vroom, Kristen – PRIMUS, 2021

The Mathematical Association of America's "Precalculus to Calculus: Insights and Innovations Conference" brought together representatives of mathematics departments from across the country with members of two national research projects to share and discuss both research findings and on-the-ground concerns of faculty. In this article, we…

Descriptors: College Mathematics, Undergraduate Study, Mathematics Education, Conferences (Gatherings)

Mingus, Tabitha T. Y.; Koelling, Melinda – PRIMUS, 2021

Faced with students failing to complete Calculus 1 at rates of almost 50%, the Department of Mathematics at Western Michigan University addressed the lack of progression of STEM majors through this gateway course and, thus, through their intended majors. In this case study, we describe the four-year process of redesigning our single variable…

Descriptors: Teacher Collaboration, Calculus, Mathematics Achievement, Introductory Courses

Bennoun, Steve; Holm, Tara – PRIMUS, 2021

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Change, Active Learning

Rahman, Zareen G.; Murray, Eileen; Golnabi, Amir H. – PRIMUS, 2021

Ongoing need for adjunct instructor support is a critical aspect for institutions to consider. Through research focused on full-time and part-time faculty job satisfaction, a number of practices for supporting faculty and improving job satisfaction have been suggested. In this article, we present an innovative model of instructor resources and…

Descriptors: Adjunct Faculty, Part Time Faculty, College Faculty, Job Satisfaction

Das, Tushar; George, Whitney; Warnberg, Nathan – PRIMUS, 2020

Mathematics educators view the equals sign as a bidirectional relation symbol, but the authors have observed that students might not have such flexibility in their understanding of the equals sign. The authors have observed that students have a hard time viewing mathematical properties (for example, log (MN) = log (M) log (N)) with bidirectional…

Descriptors: Mathematics Education, Mathematical Concepts, Symbols (Mathematics), College Mathematics

Cline, K.; Fasteen, J.; Francis, A.; Sullivan, E.; Wendt, T. – PRIMUS, 2020

We have integrated computer programming instruction into the required courses of our mathematics major. Our majors take a sequence of four courses in their first 2 years, each of which is paired with a weekly 75-minute computer lab period that has a dual purpose of both computationally exploring the mathematical concepts from the lecture portion…

Descriptors: College Mathematics, Majors (Students), Programming, Teaching Methods

Apkarian, Naneh; Bowers, Janet; O'Sullivan, Michael E.; Rasmussen, Chris – PRIMUS, 2018

This article presents a case study that details the successes and lessons learned by faculty and administrators at San Diego State University (SDSU) who are in the process of implementing a substantial improvement to the Precalculus to Calculus 2 sequence. Improvement efforts have been informed by national studies of successful programs and center…

Descriptors: Case Studies, Mathematics Instruction, Calculus, College Faculty

Oates, Greg; Paterson, Judy; Reilly, Ivan; Woods, Grant – PRIMUS, 2016

We report on three approaches taken to incorporate collaborative activities into undergraduate mathematics classes. There is strong evidence from research in K-12 classrooms that these, and similar, approaches support a range of positive learning outcomes for students. Despite the potential benefits the cited studies have shown, research into the…

Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Cooperative Learning

Jaafar, Reem – PRIMUS, 2016

For students with little experience in mathematical thinking and conceptualization, writing-to-learn activities (WTL) can be particularly effective in promoting discovery and understanding. For community college students embarking on a first calculus course in particular, writing activities can help facilitate the transition from an "apply…

Descriptors: College Mathematics, Calculus, Mathematics Instruction, Writing Instruction

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

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

Kull, Trent C. – PRIMUS, 2011

A typical introductory course in ordinary differential equations (ODEs) exposes students to exact solution methods. However, many differential equations must be approximated with numerical methods. Textbooks commonly include explicit methods such as Euler's and Improved Euler's. Implicit methods are typically introduced in more advanced courses…

Descriptors: Introductory Courses, Textbooks, Equations (Mathematics), Calculus

Savoye, Philippe – PRIMUS, 2009

In recent years, I started covering difference equations and z transform methods in my introductory differential equations course. This allowed my students to extend the "classical" methods for (ordinary differential equation) ODE's to discrete time problems arising in many applications.

Descriptors: Equations (Mathematics), Calculus, College Mathematics, Mathematics Instruction

Pennell, S.; Avitabile, P.; White, J. – PRIMUS, 2009

The introductory differential equations course can be made more relevant to engineering students by including more of the engineering viewpoint, in which differential equations are regarded as systems with inputs and outputs. This can be done without sacrificing any of the usual topical coverage. This point of view is conducive to student…

Descriptors: Equations (Mathematics), Calculus, Introductory Courses, Engineering Education

Lock, Robin H.; Lock, Patti Frazer – PRIMUS, 2008

Bootstrap methods and randomization tests are increasingly being used as alternatives to standard statistical procedures in biology. They also serve as an effective introduction to the key ideas of statistical inference in introductory courses for biology students. We discuss the use of such simulation based procedures in an integrated curriculum…

Descriptors: Integrated Curriculum, Introductory Courses, Biology, Statistical Inference

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