In response to pedagogical challenges in higher education, blended learning has become a prevalent practice in colleges and universities. Flipped learning (FL) represents a newly emerging form of blended learning, where students individually watch online lectures prior to class and then engage in classroom learning activities interacting with…

This paper is a case study of the teaching of an undergraduate abstract algebra course, in particular the way the instructor presented proofs. It describes a framework for proof writing based on Selden and Selden (2009) and the work of Alcock (2010) on modes of thought that support proof writing. The paper offers a case study of the teaching of a…

Florida Atlantic University implemented a number of changes in the College Algebra course in an attempt to improve student success. We summarize these changes, and how they have affected the course. We also discuss possibilities for future improvements. (Contains 3 figures and 1 footnote.)

This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

The aim of this study was to investigate the effects of peer instruction on college students' conceptual learning, motivation, and self-efficacy in an algebra-based introductory physics course for nonmajors. Variables were studied via a quasi-experiment, Solomon four-group design on 123 students. Treatment groups were taught by peer instruction.…

The study we report here examines parts of what Chevallard calls the "institutional" dimension of the students' learning experience of a relatively under-researched, yet crucial, concept in Analysis, the concept of infinite series. In particular, we examine how the concept is introduced to students in texts and in teaching practice. To…

One prohibitory component to graduation rates in college is the lack of student success in college algebra. The current national passing rate of college students enrolled in college algebra is approximately 40 percent. Lack of success in college algebra creating higher enrollments in remediation courses for students has also been linked to…

Over the past ten years, traditional lecture style delivery has given way to computer-aided instruction (CAI) in post-secondary education. Developmental mathematics courses have been one of the most widely used applications. At a small community college in the Mississippi Delta, a computer assisted version of Intermediate Algebra was implemented.…

A research study conducted at Sam Houston State University (Texas) compared the final grades of students who chose the lecture method of instruction with the final grades of students who chose the self-paced method of instruction in introductory algebra classes. All students were required to take seven tests plus a comprehensive final examination.…

Presented is an abstract of a study done to try to determine a set of variables which are capable of accounting for a significant amount of variation in algebra achievement in each of two instructional formats. Tables representing final grade distributions, initial comparison of groups, and comparability of volunteer subgroup variables are…

Describes a remedial college course in intermediate algebra designed to improve student success rate. Suggests that the course was easy and inexpensive to implement and required a minimum of reorganization. (PK)

This study was an initial effort at Brenau College (Georgia) to analyze the relative effectiveness of a self-paced math lab approach to developmental pre-college algebra. Students enrolled in 1988-89 were taught under the lecture method; this applied to students needing both developmental arithmetic and developmental algebra. During the subsequent…