Collaborative problem-solving (CPS) has been widely used in K-12, higher education, and informal learning to enhance the quality of student learning. Understanding the relationship between learning engagement and group performance is crucial for CPS pedagogy and analytics. However, few empirical studies investigated individual engagement role…

While proof has been studied from different perspectives in the mathematics education literature for decades, students continue to struggle to build proof comprehension. Complicating this, the manner in which proof comprehension is assessed largely remains to be the definition-theorem-proof format in which students are asked to reproduce proofs or…

This study investigates the embodied, symbolic, and formal reasoning of two fourth-year university students while exploring geometric reasoning about the Cauchy-Riemann equations with the aid of "Geometer's Sketchpad (GSP)." These students participated in a teaching activity designed to encourage shifts between embodied, symbolic, and…

The use of digital technologies is a fundamental part of being a university student. Hence, there is a growing interest in equipping students with the skills they need to thrive in a world that is full of technology and constantly changing. Moreover, the need to provide university students with the skills they need to succeed in a rapidly…

Expectancy-value models assume that task values play an important role in engaging successfully with the learning content. However, teacher education students in mathematics only value tasks that deal with university mathematics to a low degree. Offering students profession-related tasks that uncover the connection between university mathematics…

Assembly Bill (AB) 1705 seeks to improve California community college students' progress in Science, Technology, Engineering and Math (STEM) programs. The law ensures that students begin math in the course that best positions them to complete their calculus requirement. A college has this obligation to all STEM students, regardless of their…

The learning of calculus concepts is considered challenging for students. This claim is actual for calculus in general and for specific concepts in particular. In this paper, we focus on the concept of the inflection point. We argue that one of the roots of this problem is the lack of a useful and productive meaning of the concept--the…

Developmental mathematics is often a barrier to student progress and success in college. As a result and for this reason, this research study describes the redesign of a developmental mathematics course at a U.S. East Coast university to decrease the amount of time it takes for students to complete their developmental requirement and increase the…

The aim of the study was to investigate the validity level of Socrates-based linear algebra e-module, both material validity and design. This is a research and "development" (R&D) with ADDIE procedure: analysis, design, develop, implement, and evaluate. The participants were 30 students and 2 lecturers who supervised linear algebra…

This study aims at better understanding of the use of self-assessment to support high-achieving students in first-year university mathematics. The students, who had not previously self-assessed their skills and knowledge in mathematics, were given two self-assessment exercises during a calculus course: they assessed their prior knowledge and…

Mathematics Learning Support Centres are becoming more and more common in higher education both internationally and in Germany. Whereas it is clear that their quality largely depends on a functioning interaction in consultations, little is known about how such consultations proceed in detail. On the basis of models from the literature and recorded…

Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…

Mathematics anxiety is a reality for many students as a number of community college and four-year university students feel disconnected from math and struggle to pass mathematics courses. Using a case study and grounded theory approach, six remedial mathematics instructors were interviewed and observed to examine their instructional strategies and…

Mathematics has been a barrier for degree attainment. Research has focused on mathematics generally and not the transition from remedial to college-level coursework. This study examined the effects of delaying enrollment in college-level mathematics on student success. Propensity score matching minimized bias between immediate and delayed…

Machine learning is a powerful method for predicting the outcomes of interactions with educational software, such as the grade a student is likely to receive. However, a predicted outcome alone provides little insight regarding how a student's experience should be personalized based on that outcome. In this paper, we explore a generalizable…