Using clickers in the statistics classroom can help students identify and understand common errors and misconceptions through a combination of surprise and discussion. Students are presented with multiple-choice questions that they discuss with each other and then vote on; a class-wide discussion follows. Questions for which many students vote for…

In this reflection of teaching, we describe a series of activities that introduce the Taylor series through dynamic visual representations with explicit connections to students' prior learning. Over the past several decades, educators have noted that curricular materials tend to present the Taylor series in a way that students often interpret as…

Universities have drawn on an assortment of strategies to address the learning challenges and high attrition rates of developmental mathematics students. One of those strategies has been utilizing computer adaptive instruction (CAI) mathematics software. Reports about the efficacy of CAI vary from glowing to unfavorable. This article presents an…

Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…

This article describes the content validation of the Transitioning Learners to Calculus in Community Colleges Institutional Self-Assessment Tool. The instrument comprises five content areas, each with an associated set of items representing practices to promote the success of underrepresented racially minoritized (URM) students as they transition…

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'…

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…

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…

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…

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…

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…

The COVID-19 pandemic has made mathematical epidemiology a topic of critical importance, providing mathematics educators with an unparalleled opportunity. This opportunity is accompanied by a challenge: how do mathematics educators, some of whom have little personal experience with mathematical modeling, teach mathematical epidemiology to their…

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…