The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of subspaces of vector spaces in a series of in-depth qualitative interviews in a technology-assisted learning environment. Fourteen mathematics majors came up with a diversity of innovative and creative ways in which…

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,…

The number of fully online asynchronous undergraduate mathematics courses is growing rapidly, making it imperative that the instructional choices that are chosen by instructors and their effects on students' opportunities to learn in the online learning environment be further explored. Therefore, this research aims to understand instructors'…

This qualitative narrative study examined high achieving college Black STEM students who enrolled in precalculus, calculus I and II, differential equations, linear algebra, and applied linear algebra courses at Rhowlin Bonsu University (RBU). RBU is located in the Midwestern region of the United States. This investigation used a semi-structured…

Statistical education is a very important area of research because it builds knowledge and promotes innovation in the courses of this discipline. Based on the advances in this area, changes in the content and approaches of the courses at all educational levels have been promoted in several countries. In this study, we examine programs of…

The relevance of the research is due to the fact that the study of further mathematics in an engineering university provides the level of general education and general cultural development of students, and educational background in special disciplines for the subsequent professional tasks solution. At the same time, there are significant…

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 faculty created a model for intermediate algebra integrating principles from the science of learning. The redesigned curriculum revolved around two big ideas (solving and graphing) and provided students with information about the formation of long-term memories, the benefits of distributed practice, the impact of physiological aspects…

One of the main goals of statistics is to use data to provide evidence in support of an argument. This article will discuss some popular forms of writing assessments currently in use, to demonstrate the differences between the methods for structuring the students' learning to support their arguments with evidence. We share a model, which was…

Accurate placement into an initial college mathematics course is a key step toward the successful completion of college mathematics and, eventually, a college degree. Conversely, misplacement in mathematics may lead to a reduced likelihood of course completion and degree attainment. This study investigated the ability of two placement models to…

Although students may develop extensive geometric intuition about derivatives during calculus, many complex analysis texts avoid geometric connections between the real and complex derivative. In this report, we discuss our implementation of, and student responses to, a Geometer's Sketchpad lab that was informed by mathematics education research.…

The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…

SARS-CoV-2 virus has caused universities to update their courses in the distance modality. The general aim of this mixed research was to build and analyse the use of a web application for the educational process about the t-test considering data science. In particular, the professor of the Teaching of Mathematics II course needed to update the…

For millions of students at American colleges, freshman year starts off with an unpleasant surprise: despite graduating high school, students find themselves assigned to remedial classes in math or English, which they must pay for and pass before being allowed into college-level courses. Policymakers looking to increase postsecondary enrollment…

Traditionally, post-secondary developmental mathematics courses aspire to equip students with mathematical content knowledge needed to succeed in calculus and subsequent STEM courses. The literature shows that this goal alone is insufficient, as the emphasis on content acquisition often comes at the expense of developing higher-order skills such…