On the one hand, mathematical software is ubiquitous in mathematics education. On the other hand, word problems are an important part of the curriculum, and they often require modelling skills. This is especially true with optimisation and extrema problems proposed to high school and undergraduate students. We propose two activities around extrema…

The purpose of this quantitative study was to measure the change in mathematics self-efficacy of students enrolled in a college mathematics course at a community college in Missouri. The change was measured over a single semester as a pre-test and post-test. The timing of this study is significant, given that it follows statewide changes in…

Student engagement is an impactful component of student experience in mathematics classrooms and can shape academic and affective outcomes. The measurement of engagement in classroom settings has been limited to self-report measures or observational frameworks which privilege verbal participation. By conducting a microanalysis of two students'…

It is a well-known fact that many students struggle during the transition from school to university mathematics. The aim of our quantitative study was to clarify the role of students' beliefs concerning the nature of mathematics for a successful transition. We distinguish between static beliefs (mathematics as a finished system of rules, facts and…

We describe how one department moved from skepticism to wide-spread embrace of coordinated Calculus I. Data played a crucial role in this process. Details of this journey, including successful strategies and missteps, may provide insight and perspective to other departments starting on, or immersed in, similar transformational adventures.

Background: While previous research has emphasized the importance of personal beliefs (expectancy-value theories) for achievement-motivated behaviour, it lacks the integration of temporal factors that are also discussed as important drivers of achievement-motivated behaviour. Temporal Motivation Theory (TMT) combines both approaches in a…

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…

Schools and universities had to make unexpected changes beginning in Spring 2020 because of the COVID-19 pandemic. In Spring 2021, one university in the southern region of the United States implemented hybrid teaching formats in College Algebra courses, where students attended half of the classes in-person, and the remaining half of classes were…

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…

Because the failure rate for college algebra is large and sometimes up to 50%, college algebra serves as a gatekeeper to STEM fields and degree completion. Therefore, it is critical to examine students who are at risk of dropping, withdrawing, and failing college algebra help-seeking behavior. The purpose of this mixed methods study was to focus…

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…