As part of a departmental reform project, a large University converted a "Precalculus College Mathematics" lecture-based course for 97 students into an active learning flipped classroom for first-year engineering students. The curriculum was designed specifically to provide applications of pre-calculus in various engineering subjects.…

First-year mathematics instructors at universities across North America and the globe have been noticing a decline in the mathematics skills and preparation of their incoming students, who have been failing out of first-year mathematics courses at alarming rates. Though some universities have implemented placement or diagnostic tests to measure…

The state mandated College Credit Plus (CCP) program in Ohio has grown significantly for several years. Many general education core courses are being offered to high school students, on-premises or in a partnering university. In mathematics, students can complete pre-calculus courses while in high school. In forming the partnerships with high…

First-year STEM students often interpret academic challenges as diagnostic of belonging. Studies demonstrate that a social-belonging intervention helps undergraduates reframe belonging uncertainty as temporary and universal. We implemented this intervention with first-year engineering majors. In Study 1 (N = 284), we analyzed data from engineering…

Calculus at the college level has significant potential to serve as a pump for increasing the number of students majoring in STEM fields. It is a foundation course for all STEM majors and, if mastered well, should provide students with a positive and successful first-year experience and gateway into more advanced courses. Studies have shown that a…

Pre-calculus concepts such as working with functions and solving equations are essential for students to explore limits, rates of change, and integrals. Yet many students have a weak understanding of these key concepts which impedes performance in their first year university Calculus course. A series of online learning objects was developed to…

First-year university students design and play their own games, including board, computer, and other kinds of games, to learn mathematical concepts and practice procedures for their pre-calculus and calculus courses. (Contains 2 tables and 8 figures.)

Peer-led Team Learning (PLTL) is an instructional method reported to increase student learning in STEM courses. As mathematics is a significant hurdle for many freshmen engineering students, a PLTL program was implemented for students to attempt to improve their course performance. Here, an analysis of PLTL for freshmen engineering students in…

Many researchers, policymakers, and university administrators have called for more students to major in Science, Technology, Engineering and Mathematics (STEM) fields to address the critical need for a diverse and technically skilled workforce that is prepared to address national problems and educate its future STEM leaders. One of the questions…

This article is the first of the two-part discussion of the development of a new Freshman Business Mathematics (FBM) course at our college. Part I of the article describes the background and history behind the course, and provides a theoretical framework for the design of the course. This design involves students in learning and applying…

Ongoing action research at the University of Pretoria investigates first-year students' preparedness for a study in calculus. In 2005 first-year engineering students completed a mathematics diagnostic survey at the beginning and end of the year. In this article the results of the 2005 survey are compared with the students' final school marks in…

Evaluated were measures of mathematical ability of college freshmen for effectiveness of predicting performance in a televised pre-calculus course. A Two-stage sequential selection model is developed which yields gains in predictability over other models. (JG)

Describes a pre-calculus, freshman-level modern physics course for prospective physics majors. The problems and goals which led to the course are discussed. Course objectives, content, laboratory projects, text and reference materials and evaluaton procedures used are reported. (LC)

There has been concern over the validity of the Algebra Diagnostic Test (ADT) used to determine the actual level of student preparation for the first quarter of calculus as taught at the University of California, Santa Barbara. It has been hypothesized that performance-based questions, along with the more traditional multiple choice questions,…

Spatial reasoning is required for many topics in undergraduate mathematics as well as other STEM fields. In calculus specifically, there are few interventions that assess students' spatial skills and provide remediation. Haptic technology is a novel approach to spatial skills remediation due to its unfamiliarity to students and its flexibility…