The purpose of this study is to examine the performances of university students' using dynamic mathematics software GeoGebra in argumentations and proving processes. A task related to the limit involving "sinx/x" was designed and 18 university students worked on the task during the collaborative learning, scientific debate, and…

National studies continue to indicate that the graduating STEM student body is not representative of the diversity of the U.S. population. In addition to, or in the absence of, institutional change, instructors must learn how to implement equity-focused pedagogical changes in order to better support their students. This article describes my…

Community college mathematics faculty have instituted changes to address inadequate preparation of incoming students to learn college-level mathematics. However, they could do more to develop student cognitive capabilities to enable underprepared students to successfully learn college mathematics. This basic qualitative study examined the…

We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…

An important step to achieving a sustainable department culture that encourages innovation in teaching is the alleviation of the isolation that teaching faculty experience. Decreasing this isolation should be accomplished in a manner that respects all instructors' classroom practices while simultaneously exposing faculty to new ideas. In this…

The shift across developmental education from prerequisite to corequisite remediation has left students underprepared for college-level mathematics in need of additional support. Typically, this support takes the form of content remediation, but what happens when this extra help is reframed in terms of student learning skills and confidence?…

At the college level, it can be difficult to engage students outside the classroom through the use of effective homework assignments. Although it is straightforward to create assignments that test the ability to carry out computations as discussed in class, it is more challenging to create assignments that encourage students to think more…

This study explores the impact of Peer-Assisted Reflection (PAR), a structured active learning strategy that emphasizes peer feedback and reflection, on students' perceptions of mathematical thinking, and of the roles their peers and their instructors play in their learning process. This study also examines the impact of PAR on the students'…

Self or formative assessment are terms that, linked to feedback, appear in the literature associated with initiatives aimed at improving the learning process in higher education. Some studies have highlighted the peculiarities of the feedback techniques targeted towards first-year undergraduates, in subjects with a large number of students, or…

This collaborative action research highlights the need for developing students' evaluative competence and self-reflection by embedding self-and-peer assessment into online instruction. Over the course of a semester in an online master program in mathematics and computer sciences, students conducted research on assigned topics, held presentations,…

In this study, we analysed a mathematician's teaching journals on eigenvalues and eigenvectors in a first-year linear algebra course. The research team employed Tall's ["How humans learn to think mathematically: Exploring the three worlds of mathematics." Cambridge University Press] three-world model of embodied, symbolic and formal as a…

Early childhood and elementary preservice teachers often fear mathematics, find it irrelevant, have mathematics anxiety, hold negative self-perceptions, and have low mathematics achievement. This study investigates the influence of an identity exploration intervention on preservice teachers' mathematics identities during a college Algebra course…

This article describes some reflections from the first Calculus I undergraduate teaching assistant in our department as she explored the various ways in which she was able to support both novice and experienced Calculus teachers and the effect of her experience on her academic and career plans.

Peer assessment has great potential to improve student learning. However, assessment is not an everyday activity for students, and thus providing appropriate guidance to students is a key component of creating a successful peer assessment experience. This paper explores how to structure peer feedback in the guided process Peer-Assisted Reflection…

This study examined how participation in an inquiry-based workshop on assessing course syllabi for equity-mindedness and cultural inclusivity fostered community college math faculty learning about racial/ethnic equity and equity-mindedness. Findings show that the workshop prompted reflection on what equity means and how participants' teaching…