Student retention is a priority in universities, as drop-out rates among university students within 12 months of starting continue to rise, according to UK figures released by the Higher Education Statistics Agency (HESA) (https://www.hesa.ac.uk/data-and-analysis/performance-indicators/non-continuation, accessed February 2022), and with…

Homework completion and self-regulatory ability have both been extensively studied to examine their impact on learning achievement. Moreover, the reciprocal nature of how these two qualities affect one another is also an area of research. While evidence shows that voluntary completion of assigned homework predicts self-regulation in students, a…

In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…

Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction.…

We now know how "best" to teach our students -- student-centered learning. Yet many of us face challenges when trying to design courses that are student-centered. In this paper, we present our experience with a Web 2.0 technology, VoiceThread, that has helped us address some of the challenges we have encountered when designing…

In calculus courses, instructors often use the end-of-section problems in a textbook in homework assignments or other course assessments. As a result, these problems influence the teaching and learning of calculus. In this study, we examine the levels of cognitive demand of these problems in a mainstream calculus textbook and classify them within…

The Math Immersion intervention was designed to aid the transition-to-proof phase of the undergraduate mathematics major. The Immersion was co-taught by two instructors, one for Intro to Proofs and Abstract Algebra and another for Probability and Statistics and Linear Algebra. This case study documented that efficiency gains directly attributable…

This article presents a mathematical modeling activity for students related to the process of memorization in which students collect their own data to drive their model development, parameterization, and validation. Engaging in the data collection gives them insight to critique and evaluate various models. This task is a low-floor high ceiling…

Experienced provers employ a host of skills when assessing the validity of a justification, often without names for those skills. This paper offers an introduction to a lens called Toulmin analysis that can help make sense of this process. Then this paper describes both an in-class module to help students learn to apply Toulmin analysis and…

The article describes how to derive the equation of curves that are obtained from string art. Conversely, if the equation of a curve is given, one can find the relation between the intercepts either on a rectangular axes, skewed axis, or a circle to trace out these curves. Some of these curves can be easily traced out using the string art if they…

The Euclidean Discus Toss is an active and tactile learning activity that models the extended Euclidean algorithm with a frisbee relay. The extended Euclidean algorithm involves both iterative and recursive programming and is regularly taught throughout the mathematics and computer science curricula. The Euclidean Discus Toss invites students to…

This case study examines how online mathematics homework impacts student learning, attitude, and efficacy in a college Calculus I class. This research is important because it provides data on student perceptions for how to effectively implement online homework. Participants for this study completed homework using a blend of online and paper…

We present a system for math placement and intervention that pairs ALEKS PPL with an online, standards-based "bridge" course designed to prepare students interested in STEM for PreCalculus. To determine the efficacy of this system we studied ALEKS PPL placement scores, bridge course grades, ALEKS concept mastery percentages, and…

Collaborative assessment techniques are needed to align with shifting approaches to learning that center peer interaction. Furthermore, it is critical to understand how collaborative assessments work for students belonging to historically marginalized groups. This study reports the perspectives of four mixed race and Latina/Hispanic women…

Lesson study, a popular method of professional development in which instructors collaborate to critique and improve a lesson, can be used for curriculum development. This paper describes an implementation of lesson study that went through two iterations across different, related, contexts: an undergraduate mathematics content course for secondary…