We conducted a quantitative analysis to determine how the prerequisite path of students taking calculus I impacts their grade performance. We began by investigating the performance of students that took college algebra and trigonometry versus those that took pre-calculus ahead of their credit-bearing calculus I attempt. We concluded that there was…

In this paper, we study how well SAT scores, high school GPA, and undergraduate precalculus grades relate to undergraduate calculus grades at a 4-year private nonprofit university that does not have a placement exam. In addition, we compare the success in calculus of two groups of students, both of whom require two semesters to pass calculus. The…

First-year mathematics instructors at universities across North America and the globe have been noticing a decline in the mathematics skills and preparation of their incoming students, who have been failing out of first-year mathematics courses at alarming rates. Though some universities have implemented placement or diagnostic tests to measure…

Evidence suggests that active engagement with material as it is being taught improves learning. In-class multiple choice questions are a common way to introduce active learning. Low-stakes writing is another. The author of this article provides evidence that using a content-based low-stakes writing prompt with immediate group feedback during the…

Learning centers offer academic resources to postsecondary students to aid in their success. Despite deep work examining the efficiency of these learning centers, the field still does not know enough about students' experiences with these learning centers' resources. By understanding the mechanisms and experiences of students as they learn about,…

In this study, we investigated female and male students' sense of belonging and their academic performance measured by the Force Concept Inventory (FCI) and course grades in a calculus-based introductory physics course at a large public university in the United States. We find that compared to male students, female students' sense of belonging was…

Assembly Bill 1705 (AB 1705) seeks to strengthen students' completion of the first STEM Calculus course for Science, Technology, Engineering, and Math (STEM) programs across the California Community Colleges. The law sets new standards for students' placement and first math enrollment to ensure STEM students begin in transfer-level coursework that…

This technical appendix accompanies the report, "Preparatory Pathways and STEM Calculus Completion: Implications of the AB 1705 Standards." The appendices contain a full methods section and multivariate analyses that augment the descriptive analyses presented in the report. Together, these analyses examined a cohort of more than 37,000…

Research on the Advanced Placement (AP) program generally shows that students scoring 4s and 5s on AP exams outperform their non-AP peers in subsequent college courses. However, faculty often advise students with AP credit to repeat prerequisite courses in college before attempting advanced coursework, and there are few studies that provide…

This study examines high school preparation measures [ACT/SAT scores, high school grade point average (HSGPA), and conceptual physics pretest scores], in-class behavior measures (homework submission rates and lecture attendance rates), and in-class achievement measures (homework and test averages) for the last two fully face-to-face prepandemic…

Decisions about who gets admitted to college, especially to selective institutions, are the result of a complex mix of policy and practice, and math expectations are part of that mix. Regardless of whether calculus is necessary for a student's college major, entrenched beliefs about calculus as a sign of rigor can play a significant role in…

The purpose of this sequential mixed methods study was to examine the relationship among student achievement factors, gifted and talented status and post-secondary readiness. The study included a review of archived data obtained from a large district in the southeastern region of Texas consisting of a purposeful sample of AP students' who took an…

This report examines the effects of taking math in 12th grade on several academic outcomes, including high school grade point average, A-G course completion, college enrollment, and college persistence. We also investigate whether particular types of math courses (for example, Calculus or Statistics) are especially beneficial for students'…

This report examines the impact of taking a math course in twelfth grade on L.A. Unified students' science, technology, engineering, and math (STEM) college course taking and academic achievement. We also investigate whether particular types of math courses (for example, Calculus or Statistics) are especially beneficial for students' postsecondary…

The Advanced Placement® (AP®) Program offers high school students the opportunity to take rigorous coursework in high school and receive college credit for AP Exam scores that meet or exceed the requirements of their attending institution. Students receiving AP credit are typically exempted from an introductory level course or series of courses…