We describe and evaluate a method to mitigate unwanted student collaborations in assessments, which we recently implemented in a second-year undergraduate mathematics module. The method requires a list of specific pairs of students to be prevented from collaborating, which we constructed based on the results of previous assessments. We converted…

This study aimed to determine the relationship between attitude, metacognitive awareness, and mathematics reasoning, as well as investigate the role of metacognitive awareness as a mediator. This study examined data from 378 pre-service teachers in Malaysia. The data were gathered by administering questionnaires and a mathematics reasoning…

In this paper, we propose a novel conceptual framework tailored for modeling the meaning of mathematical concepts in university-level mathematics, addressing their rigorous nature and their relationships with related concepts as well as interpretations in various contexts. Within this framework, we present a model of meaning for the concepts of…

This article studies the efficacy of ALEKS Preparation, Placement and Learning (PPL) in assessing the likelihood of a student succeeding in a first-semester calculus course. Proctored ALEKS PPL assessments were taken by all students enrolled in Calculus 1 during five semesters in which all students took a tightly coordinated course that included…

One of the most important goals in a statistics class is to develop students who are statistically literate and can reason with statistical concepts. The REALI instrument was designed to concurrently assess statistical literacy and reasoning in introductory statistics students. This paper reports a measurement analysis of the statistical literacy…

That the manifestation of cheating varies between disciplines is rarely discussed, an unspoken assumption being that assessment takes the form of written prose supported by a bibliography. Students and academics from disciplines, such as mathematics, not fitting this model can feel that their work is regarded as an aberration. 'Plagiarism' is not…

This study focuses on students who are registered for the University of Pretoria's academic development programme, the Four-year Programme (FYP). The programme was introduced as a gateway for students who are under-prepared but have the potential to succeed. This programme helps them to then continue their studies in mainstream science programmes.…

Though statistical testing is commonly practiced, the logic of statistical tests is confusing, thinking about distributions is difficult, and the way statisticians formulate expectations as probability distributions is poorly understood. To support instruction, the statistics education community has increasingly utilized simulation-based…

This article explores the conceptual challenges that engineering students encounter with double integrals in a vector calculus course. Drawing on previous literature and utilising APOS (Activity- Process- Objects- Schema) as a theoretical framework, this study investigates the difficulties that students face in understanding and applying double…

Academic integrity at our small Canadian college is informed by several key frameworks and centred around teaching, learning, and proactive education. Mathematics assessments were quickly moved through various learning environments over the past year, showing that some assessment design strategies were no longer feasible if they instead centred on…

During the 2020 COVID-19 lockdowns, one of the primary challenges faced by mathematics educators was maintaining assessment integrity when replacing invigilated assessments with online assessments. These assessments presented students with the opportunity to engage in misconduct in a manner that ordinarily would not exist. This was particularly…

This article presents a study investigating the use of games in undergraduate mathematics instruction, with a specific focus on students' perspectives regarding post-instructional quiz games. The study explores students' opinions on the implementation of a linear algebra quiz game as a supplementary learning tool. A survey was administered to 78…

Understanding the concepts related to real function is essential in learning mathematics. To determine how students understand these concepts, it is necessary to have an appropriate measurement tool. In this paper, we have created a web application using 32 items from conceptual understanding of real functions (CURF) item bank. We conducted a…

Besides homework assignments, optional quizzes are a commonly used means for formative assessment in tertiary mathematics education. Instructors, for example, implement these to help students detect gaps in their understanding, or to foster a continuous and active engagement with the content. The extent to which these goals are reached, however,…

We conducted a descriptive study among first-year engineering students at the Anton de Kom University of Suriname. We analyzed students' errors regarding necessary prior knowledge in a calculus A exam. We found that the stage of the solution in which prior knowledge is required impacts the importance of prior knowledge. We also found that many…