Mathematics plays a significant role in many study programs. However, several studies show deficiencies and a decline in beginning undergraduates' skills in mathematics in many content domains. However, it remains unclear whether they have improved in so-called process competencies like modeling, mathematical reasoning, or using different…

This quantitative study investigated the academic outcomes of high school students from one community college district in Illinois who took a high school transitional math course designed to give them direct placement into a college-level math course. The goal of successful completion of a transitional math course is to allow students direct…

In this study, effects of asking participants to make different types of considerations when solving a realistic word problem were investigated. A two-factorial experiment with the factors "addressing realistic considerations" (with vs. without) and "addressing mathematical operations" (with vs. without) was conducted. It was…

We view the (real) Laplace transform through the lens of linear algebra as a continuous analogue of the power series by a negative exponential transformation that switches the basis of power functions to the basis of exponential functions. This approach immediately points to how the complex Laplace transform is a generalisation of the Fourier…

Spatial skills can predict mathematics performance, with many researchers investigating how and why these skills are related. However, a literature review on spatial ability revealed a multiplicity of spatial taxonomies and analytical frameworks that lack convergence, presenting a confusing terrain for researchers to navigate. We expose two…

The current study was conducted to investigate the relationship between math anxiety and math achievement, highlighting differences in motivation based on age, and the mediating effects of task persistence as well as aspects of the expectancy-value theory. The students in the study (grade five N = 335, grade eight N = 251) were from Estonian…

For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…

Vocational education is an international priority, as it contributes to countries' economic growth, quality education, and social development. This article aims to compare vocational education's 'prescribed' and 'enacted' curricula (curriculum implementation guidance documents, textbooks, classroom resources, materials, and research articles) in…

Corequisite mathematics is a developmental education intervention designed to provide the instruction of college-level math content while concurrently requiring student participation in learning support. Its purpose is to facilitate underprepared mathematics students in expeditiously completing their college gateway math requirements. This model…

This literature review examines how mathematics education uses the Technology, pedagogy, and content knowledge (TPACK). This study examines how TPACK affects mathematics classroom instruction, student engagement, and learning outcomes. A detailed examination and synthesis of pertinent publications over the last decade will accomplish this. The…

Attending to students' thinking and using it to inform instruction has been shown to be an effective and equitable teaching practice. Research on teachers' noticing of thinking conceptualizes noticing as a cognitive process, while work on noticing for equity treats noticing as culturally situated but primarily focuses on participation. Drawing on…

This study investigated how students reason about the partial derivative and the directional derivative of a multivariable function at a given point, using different graphical representations for the function in the problem statement. Questions were formulated to be as isomorphic as possible in both mathematics and physics contexts and were given…

Mathematical abstraction constitutes the foundational cornerstone for the establishment and evolution of mathematical disciplines, serving as the pathway through which mathematical concepts emerge. As one of the information technologies widely applied in mathematics education, the Dynamic Mathematics Systems (DMS) have been found to have a…

Undergraduate mathematics education is essential for building a foundation for success in various scientific disciplines. Curriculum reforms in mathematics education have emphasized the need for cultivating learning skills that depend on effective student engagement (SE). Consequently, there has been growing research on the mechanisms that…

This paper presents research activity on computer-based mathematics learning to study the effectiveness of open-source teaching computer platforms (Canvas) in computer-assisted instruction. We designed a set of multiple-choice online quizzes as a dynamical flow-chart of possible paths to follow while solving a difficult math problem on…