Background: The demand for professionals with expertise in Science, Technology, Engineering, and Mathematics (STEM) continues to grow. To meet this demand, universities are actively seeking strategies to engage more students in STEM disciplines and improve their learning outcomes. One promising approach is gamification, specifically using…

Mathematical modelling is an interlinking process between mathematics and real-world problems that can be applied as a means to increase motivation, develop cognitive competencies, and enhance the ability to transfer mathematical knowledge to other areas of science, such as engineering disciplines. This study was designed to investigate the effect…

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…

Evidence shows that to improve student persistence in mathematics, we must change our course design to encourage students to have a growth mindset. By using standards-based grading, students earn grades based on their actual learning, so they are motivated to persist with difficult topics until they achieve understanding. Mastery-based testing has…

In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

Among the problems identified at Technical and Vocational Education and Training (TVET) colleges, low achievement in mathematical subjects is the most prominent one. This paper documents a qualitative case study undertaken at TVET College in Gauteng with the purpose of exploring the National Certificate Vocational (NC(V)) Level 4 students' errors…

Texas A&M University-Commerce has implemented supplemental instruction (SI) for Calculus since the fall of 2013. A direct display of the ABC rates from fall 2005 to spring 2021 only presents fluctuation from semester to semester, and one can hardly deduce that the ABC rates are increasing. In this paper, the "moving average"…

The curricular unit Calculus I -- Extraordinary Semester (UCCISE) -- was explicitly created to respond to students' difficulties in the curriculum unit Calculus I (UCCI). Only students who fail the UCCI are allowed to attend UCCISE. Considering the enrolled students' familiarity with mathematical software, the potential of group work to stimulate…

This study aimed to investigate the impact of using scoring rubrics on assessing the performance of students in achievement. The study followed an experimental approach, and the sample consisted of 187 male and female students enrolled in the Calculus course. They were divided into three groups: the first experimental group, whose performance was…

Despite growing theoretical and empirical evidence that writing has the potential to be an effective tool for student learning in undergraduate mathematics, writing-to-learn integration in mathematics is rare. Major deterrents include perceived lack of alignment between writing and learning goals, deficit views of students' writing abilities, and…

This research explores the link between achievement emotions and covariational reasoning, a type of mathematical reasoning involving two variables. The study employs a case study approach, focusing on a high school calculus student named Valeria, and develops a theoretical framework based on the control-value theory and levels of covariational…

Background: Applied Calculus courses serve hundreds of thousands of undergraduates as quantitative preparation and gatekeepers across diverse fields of study. The current study investigated how motivational factors are associated with students' learning outcomes in Applied Calculus courses from the perspective of self-determination theory--a sound…

The purpose of this quantitative ex post facto research study is to determine if there is a difference in students' pre-calculus knowledge and mathematical skills achievement based on pre-calculus instructional conditions and gender at a community college in the Mid-Atlantic region of the United States. Three research questions were used to…

The objective of this research is to consider the possible relationship between academic performance and university students' beliefs about Mathematics, particularly in the subject of Integral Calculus. The methodology employed is quantitative, descriptive and correlational, based on a non-experimental design. The instrument used for the…

The expectations gap -- the difference between the level at which high schools prepare students and the preparation colleges expect -- is believed to be accountable for hindering access to, and success in, higher education. It has been largely attributed to misalignment of priorities and lack of communication among policy makers and educators and…