The California Community Colleges (CCC) began implementation of AB 705 in fall 2018, ensuring that most students started in transfer-level math rather than a developmental education sequence. The RP Group's Multiple Measures Assessment Project (MMAP) has found that for all student groups, dramatically increasing access to transfer-level math…

After serving multiple terms as department chair at a small, liberal arts college, we have had the opportunity to develop some insights in a variety of circumstances. Through these experiences, we have formulated some advice for current and future unit leaders. We have included some general transition advice and a "top ten list" of…

Modeling projects in differential equations and engineering courses create an authentic activity and an opportunity to attain the holy grail of "deeper" learning. However, what do we mean by "deeper" learning and how do we create an environment that encourages that? This article describes a proposal and case study in using…

While the culture of many mathematics departments inflects strongly towards STEM, most mathematics departments also offer a significant number of introductory courses intended for both STEM and non-STEM majors. We are a group of mathematicians who, in this work, examine the intent and goals of a university mathematics education for the non-STEM…

Requiring that students enrolled in college algebra to spend hours in a computer lab has been a practice in colleges and universities to improve success and retention. In part, because students come with different backgrounds, skills, and the computer lab environment allows for personalized supplemental instruction and tutoring. However, the way…

A multitude of online courses are available that provide opportunities for students to meet their higher education needs, goals, and desires in a nontraditional school setting. But, from a content specific perspective, how are students performing in online courses compared to their face-to-face counterparts? This study seeks to examine the…

College algebra has been noted as a critical course in post-secondary institutions because it serves as a gateway for major selection and college completion. Combinatorial topics like repeatable permutations are often overlooked in K-12 and undergraduate curricula. Likewise, students' achievement and motivation are affected by the type of…

In 2015, Bergen Community College (BCC) received a grant from the U.S. Department of Education First in the World Grant Program. The grant entitled Alternatives to Mathematics Education: An Unprecedented Program (AMP-UP), was awarded to conduct a randomized control trial on a corequisite approach to developmental math education. This study was…

During the Fall of 2015, faculty and staff at a large community college district with an enrollment of 55,000 in the Southwest United States were encouraged to apply for Innovation Challenge Grants. The goal of these grants was to allow faculty and staff an opportunity to create, innovate, and share ideas, so that the college could strive to be…

The standard technique taught in calculus courses for partial fraction expansions uses undetermined coefficients to generate a system of linear equations; we present a derivative-based technique that calculus and differential equations instructors can use to reinforce connections to calculus. Simple algebra shows that we can use the derivative to…

Research reported in this article has been conducted from the theoretical perspective of the Anthropological Theory of the Didactic developed by Y. Chevallard and his collaborators, and from the institutional perspective of university mathematics education in France. It focuses on the teaching and learning of algebraic structures. The article…

We make a case for including difference equations, in particular the discrete logistic equation, in basic differential equations courses. Contrasting the behavior of discrete and continuous models enriches students' understanding of both modeling and differential equations. To facilitate sharing discrete population models with students, some…

In this work, students' thinking modes and representation types in linear algebra are investigated through statistical implicative analysis techniques. Specifically, our research question considers the implicative relationships between students' thinking modes and representation types of linear algebra. The participants were 74 undergraduate…

No research has been conducted on college students in developmental mathematics classes struggling with both mathematics anxiety and computer anxiety in a qualitative manner. Prior studies have dealt with college students in developmental mathematics classes struggling with mathematics anxiety and college students in developmental mathematics…

This study focuses on the undergraduate mathematics students' perceptions and applied techniques for the preparation for their final examination in Abstract Algebra. The results of this study suggest that the revision for the final examination involves, firstly, the review of the lecture notes, followed by the solution of the coursework together…