This research aims to determine second-year university students' understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of…

A partially-automated method of assessment is proposed, in which automated question setting is used to generate individualized versions of a coursework assignment, which is completed by students and marked by hand. This is designed to be (a) comparable to a traditional written coursework assignment in validity, in that complex and open-ended tasks…

We describe an organizing principle for online learning materials; we term coherently organized digital exercises and expositions. Larger in scale than individual lessons but smaller than a programme of study, this innovation in instructional practice is increasingly guiding our thinking in the development of university mathematics courses.…

Research suggests that using only standardized placement test scores to determine which new college students should take developmental coursework is inadequate, as many students may be unnecessarily assigned to developmental courses. These courses generally take one or more semesters to complete, delaying entry into college-level coursework, and…

Research and data show that developmental education has been a stumbling block for the majority of community college students in pursuing their higher education degree. Students can spend several semesters to complete developmental math requirements in order to take a first college-level credit-bearing math course for their degree. Many colleges…

The purpose of this study was to design, develop, and test the effects of digital game-based learning on undergraduate students' learning motivation, mathematics achievement, and learning retention in a college algebra course. Digital games utilize interactive digital media that offer rules-based challenges and react to the individual's choices.…

The purpose of this study was to evaluate the effectiveness of co-requisite education on gateway mathematics, predicated on the Reinforced Instruction for Student Excellence (RISE) model, at a large urban community college (LUCC) in North Carolina. The research study explored the success rates in gateway mathematics courses in relation to the…

We show that the total distance traveled by an under-damped oscillating spring mass system with sinusoidal displacement results in a nice, closed-form expression.

This paper sets forth a construct that describes how many undergraduate students understand mathematical terms to refer to mathematical objects, namely that they only refer to those objects that satisfy the term. I call this students' pronominal sense of reference (PSR) because it means they treat terms as pronouns that point to objects, like…

Recently, Wilmer III and Costa introduced a method into the mathematics education research literature which they employed to construct solutions to certain classes of ordinary differential equations. In this article, we build on their ideas in the following ways. We establish a link between their approach and the method of successive…

This study examined the extent to which college algebra instructors employ pedagogical practices previously found to assist students master difficult STEM content material and address their own previous math deficits. Faculty classroom behaviors were assessed with a modified version of the Generalized Observation and Reflection Platform (GORP).…

This paper highlights the new enhancements of the Halomda platform designed to improve students' learning and exam preparation. The new features include a Graph Plotter, Algebraic Calculator and Context ChatGPT Recommended Key Guidelines. The use of these features is demonstrated though a working example of solving a double integral, illustrating…

This dissertation examined how adult learners who took developmental mathematics in a community college and passed the courses, viewed their self-efficacy and the roles they felt self-efficacy had on their successful completion of mathematics. Semi-structured interviews were conducted with 10 adult learners in two U.S. community colleges.…

This study conducted at the Lebanese American University in spring 2018 reports on an inquiry-oriented differential equations class where the course curriculum falls within the realm of Realistic Mathematics Education. The focus of the study is on some curriculum tasks and how they assist students reinvent successfully key mathematical notions…

We describe the effects of a change in the mathematics placement policy at a large 4-year public university. The change resulted in a sharp reduction of the number of students placed in remedial courses, while the levels of academic preparedness of the students, the course content, and the instruction methods remained the same. This allows us to…