Introductory calculus classes at the college level are often used as "gatekeepers" or "filters" for science and engineering majors. However, some researchers have questioned whether calculus courses, as currently taught, are filtering students appropriately (Black & Hernandez-Martinez, 2016; Williams, 2012; Williams &…

The expectations gap -- the difference between the level at which high schools prepare students and the preparation colleges expect -- is believed to be accountable for hindering access to, and success in, higher education. It has been largely attributed to misalignment of priorities and lack of communication among policy makers and educators and…

AB 1705 requires colleges to validate their math placement policies and associated enrollment practices to ensure that students begin in coursework that gives them the best chance of completing the initial transfer-level math requirements for their academic goal. If students are required to enroll in prerequisite coursework prior to the…

Introductory calculus is mandatory for postsecondary science, technology, engineering, and mathematics (STEM) majors (Bressoud, 2015); however, many students do not persist through introductory calculus to further STEM study (Rasmussen et al., 2019). One reason for this may be that students struggle with the prior mathematical knowledge required…

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…

Business Statistics is a required course for undergraduate business majors and presents significant challenges for students with weak quantitative and critical thinking skills. This paper shows that changing the pre-requisite for the Business Statistics course from Business Calculus to Probability and Statistics makes a significant positive…

[This paper is part of the Focused Collection in Investigating and Improving Quantum Education through Research.] The modern physics course is a crucial gateway for physics majors as it provides an introduction to concepts beyond the scope of the K-12 education. This study collected 167 modern physics syllabi from 127 U.S. research-intensive…

Using administrative data from nearly 270,000 transfer-intending students who began at 70 community colleges across three state systems, this paper seeks to identify a set of metrics that will be useful to community college leaders as they formatively assess their colleges' efforts to improve STEM transfer outcomes. We find that a relatively…

Objective: Community colleges have considerable potential to grow the number of individuals who complete STEM baccalaureate degrees and to broaden access to educational opportunities in STEM. However, efforts to tap this potential have been hampered by nagging questions about whether community colleges prepare students adequately for advanced STEM…

In the United States, the first course in single-variable calculus is considered tertiary level mathematics. Initially offered in high schools as a means for strong students to do college-level work, it is now taken by over 20% of high school students and perceived to be a prerequisite for admission into selective colleges and universities. This…

This qualitative study explores the lack of African American students enrolled in AP Calculus courses in North Carolina public high schools. It considered the perception of student-counselor relationships, academic advising practices, and identity of high school counselor participants. In-depth interviews were conducted with three, African…

Calculus is a stepping stone to science, technology, engineering, and mathematics (STEM) degrees and careers, but countless college students abandon their STEM ambitions after an encounter with calculus--or to avoid taking the intimidating course altogether. While traditional approaches have focused on prerequisite courses--which often repeat high…

This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this…

Nearly two decades into the "completion agenda" in higher education, many community colleges have adopted collegewide reforms designed to improve stubbornly flat rates of student success and address persistent equity gaps. The longer-term effects of such collegewide reforms may take years to observe. In the meantime, college leaders need…

There is a low enrollment of African American high school students in advanced mathematics. High school advanced mathematics are prerequisites to college calculus, one of the basic courses in science, technology, engineering, and mathematics disciplines. African Americans earned only 7.6% of all bachelor's degrees in science, technology,…