The COVID-19 pandemic, like past historical events such as the Vietnam War or 9/11, will shape a generation. Mathematics educators can seize this unprecedented opportunity to teach the principles of mathematical modeling in epidemiology. Compartmental epidemiological models, such as the SIR (susceptible-infected-recovered), are widely used by…

Widening and increasing participation in advanced mathematics studies at upper-secondary level (age 16-18) is a significant challenge for most education systems. Policy makers in Ireland have attempted to address this challenge over the past decade by introducing an incentive to encourage students to study advanced mathematics. This study examines…

We describe a three-day advanced organic laboratory experience that includes the solid-phase synthesis of an unknown three amino acid polypeptide for junior/senior undergraduate chemistry majors. Students conduct a series of 1D and 2D NMR experiments (HSQC, HMBC, TOCSY) and analyze the data to identify the side chain residues of the peptide and…

This study examines the effects of remedial courses in high school on postsecondary outcomes using a regression discontinuity design and explores the mechanisms behind these effects. I find that being placed in the remedial schedule and taking an additional remedial course in high school reduces the likelihood of attaining a 2- or 4-year college…

This study investigates the critical literacy practices of adult learners at a community college. Student participants were selected from four different leveled reading courses. In this study, four guiding questions that were adopted from Klenner and Sandretto (2011): (1) How do students make personal connections to text?; (2) In what ways do…

A major goal of physics education is to develop strong problem-solving skills for students. To become expert problem solvers, students must have opportunities to deliberately practice those skills. In this work, we adopt a previously described definition of problem solving that consists of a set of 29 decisions made by expert scientists. We…

America's reckoning with racial injustice and the pursuit of equity have led some public school systems to reduce or terminate (or at least question) special programs for high achievers, such as "gifted" education, honors courses, and selective high schools. Historically, such programs have served disproportionately few Black, Hispanic,…

This memorandum provides information on Advanced Placement (AP) and International Baccalaureate (IB) course enrollment, exam participation, and exam performance during the 2022-2023 school year. During the 2022-2023 school year, 129 AP or IB courses were offered across high schools. Among the 25 comprehensive high schools, all offered AP courses,…

In this paper we discuss the important Abel's summation formula, which is a very powerful tool for analysing series of real or complex numbers. We derive from it an integral test which may be useful in cases where the classical integral test may not be applied. We also discuss how this new integral test may be used when one is dealing with…

In this paper, we present a qualitative study on what values students perceive in their abstract algebra course. We interviewed six undergraduates early in their abstract algebra course and then again after their course was completed about what motivated them to learn abstract algebra and what value they saw in the subject. The key finding from…

Creating equity for Black science students requires deep listening and can be achieved with phenomenological qualitative research and a community of inquiry. The phenomenological study examines the lived experience of a phenomenon by a student. This article investigates how Black students perceive advanced science classes and what prevents them…

Coming from the commognitive standpoint, we consider proof-based mathematics as a distinct discourse, the transition to which requires special rules for endorsement and rejection of mathematical statements. In this study, we investigate newcomers' learning of these rules when being taught them explicitly. Our data come from academically motivated…

Testing is a highly important tool, used ubiquitously in academia, to assess student comprehension and understanding of material. Unfortunately, the emphasis placed on test grades has resulted in a modern epidemic of test-related anxiety, which can have adverse health effects on students. Over time, novel testing strategies have been developed to…

While there is consensus that taking advanced coursework in high school is strongly related to subsequent academic outcomes, well-qualified Students of Color are less likely than White students to take advanced high school courses. K12 schools have sought strategies to encourage more qualified Students of Color to take advanced courses in…

In this article we consider two triangles: one inscribed in another. We prove that the area of the central triangle is at least the harmonic mean of the areas of corner triangles. We give two proofs of this theorem. One is based on Rigby inequality and the other is based on the known algebraic inequality, to which we bring a new, geometric, proof.…