Over the past 9 years, we have implemented, developed, and refined a novel student-centered teaching method called Extreme Apprenticeship in university mathematics context. In this paper, we report the theoretical orientation behind the method, as well as its practical implementation. We also reflect on our experiences gained from using it in our…

Background/Significance: College algebra traditionally serves as the default math requirement for community college students. Lattimore and Depenbrock (2017) reported that approximately two-thirds of community college enrollees are required to take this course, yet nearly 80% fail to complete it, making it "the single most failed course in…

Teaching and learning of differential equations (DEs) have a prominent role in all the fields of education. In spite of its prominence and frequent applications, teaching and learning of DEs is still considered as one of the most difficult, particularly at pre-university level. This is because, the topic of differential equation along with…

Smart classroom is a technology-based learning that is proposed as a solution to increase the capabilities of students. This mode of teaching and learning make the education system more attractive and interactive, in addition to help educators to develop an engaging session. The objective of this study is to determine the effect of smart…

This study questions the dominant approach in the presentation of the concept of slope in undergraduate education through mathematics textbooks. For this purpose, five mathematics textbooks, were analyzed for problems related to slope, and similarities and differences were revealed. First, the subjects related to the slope in the textbooks were…

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…

Background: Graduation rates in engineering programs continue to be a concern in higher education. Prior research has documented an association between students' experiences in first-year mathematics courses and graduation rates, but the influences of the mathematics courses completed and the grades earned are not fully understood. Purpose: The…

Students' attitudes toward mathematics and the strength of their mathematics preparation typically go hand in hand such that their specific effects are difficult to disentangle. Employing the method of propensity weighting of a continuous variable, we built hierarchical linear models in which mathematics attitudes and preparation are uncorrelated.…

Facing increased pressure to improve retention and graduation rates, engineering departments are increasingly scrutinizing whether they are getting their desired outcomes from core mathematics coursework. Since mathematics courses are a significant source of attrition and many engineering faculty are unhappy with students' mathematical abilities,…

An Indigenous research paradigm collectively described by Wilson (2008), Archibald (2008), and Kovach (2009) has yet to be applied to research in undergraduate math education, and specifically at a Tribally Controlled College/University (TCU). Research at TCUs does not require the use of an Indigenous research paradigm, however at the outset, this…

Postsecondary mathematics classrooms continue to become more diverse, which implores educators to continue to incorporate more diverse modes of assessment to support all learners. However, researchers have found that mathematics assessment at the postsecondary level has remained mostly stagnant, with traditional, closed-book exams dominating the…

This article describes a framework of Standards-Based Grading suitable for use in a variety of mathematics courses. We detail our experience adapting this framework to various courses, ranging from Pre-calculus to Differential Equations, at four different institutions, including both small liberal arts colleges and large universities, and in class…

Mathematics education is highly valued in advanced economies due to its role in developing skilled workforces, economic resilience and social well-being. However, university academics across disciplines regularly bemoan undergraduate students' under-preparedness for the mathematical and quantitative demands of undergraduate degree programmes. In…

This paper presents the results of research about innovative actions that use Virtual Environments to improve the teaching and learning of Mathematics in Higher Education and the participants were higher education students of Mathematics. The project was carried out in three stages. During the first stage, we assessed theoretical assumptions about…

Quantitative learning centers (QLCs) have emerged on undergraduate around the globe in an attempt to provide necessary support to students enrolled in undergraduate courses that address quantitative literacy. QLCs often provide support through peer tutoring to students in mathematics or related courses. Since QLCs are prevalent on undergraduate…