Escape the Math Room is a fun, interactive, sequence of puzzles designed to encourage mathematical collaboration, team work, and ingenuity. Using advanced mathematical topics in an accessible way, Escape the Math Room appropriately challenges students ranging from high school to advanced undergraduate. The activity can be adjusted by adding or…

This study synthesizes theories of achievement motivation to better understand the development of academic task values in high school students and their relation to college major selection. We utilize longitudinal structural equation modeling to understand how grades relate to task values, how task values across domains relate to one another over…

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…

Statistics & data science are growing, rapidly evolving, and increasingly important for an informed citizenry in a data-saturated world. In this dissertation, I address two central questions: (1) who is taking statistics? and (2) what are statistics courses teaching? I estimate that 920,000 US students take statistics in high school each year,…

The transition from school to university is a challenging process for many students which is reflected in high dropout and low examination success rates during the first year at university. Qualitative studies have found hints that students' beliefs play an important role during the transition. Due to their dialectic nature with cognitive as well…

This keynote address explores the history and role of college math requirements with a focus on ensuring math courses serve to expand students' horizons, rather than serve as gatekeepers. It discusses the advent of general education math courses, which brought more students into math departments, which ultimately contributed to broadening the…

The University of Minnesota Talented Youth Mathematics Program (UMTYMP) is a selective, five-year accelerated mathematics program for students in grades 6-12. During the program, students take college mathematics courses on University of Minnesota campuses, starting with algebra and continuing through logic and proofs, linear algebra, and…

The purpose of this concurrent mixed methods action research study was to investigate the impact of new technology-enhanced Dual Enrollment (DE) math courses on students' perception of college courses, the influence the technology-enhanced DE had on students' intention of going to college, and the students' perception of the technology-enhanced DE…

This quantitative study investigated the academic outcomes of high school students from one community college district in Illinois who took a high school transitional math course designed to give them direct placement into a college-level math course. The goal of successful completion of a transitional math course is to allow students direct…

Annually, 40% to 60% of students who graduate high school and enroll in higher education do not exhibit the skills necessary to succeed in college-level work and will need remediation in mathematics or English (Jimenez et al., 2016). Successfully graduating from high school does not guarantee academic preparedness for college. To understand why a…

In Tunisia, calculus is a fundamental component of mathematics curriculum in high school and a major requirement at the advanced level in the mathematics bachelor's degree and in engineering. Yet, paving the way for a passage between high school calculus and university calculus remains a challenge for both mathematics education researchers and…

Students' proof abilities were explored in the context of an inquiry-based learning (IBL) approach to teaching an introductory proofs course. IBL is a teaching method that puts the responsibility for proof on students and focuses on student discussion and exploration. Data collected from each of the 70 participants included a portfolio consisting…

Examining linked academic transcripts from urban community colleges and their feeder high schools, we identify math course-taking patterns that span sectors. We highlight stifled mobility and chronic repetition of math coursework in the transition to college, and we identify "math traps" from which students do not escape. Math mobility…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Numerous national and state endeavors have advocated for approaches, funding, and programs focused on expanding the science, technology, engineering, and mathematics (STEM) workforce of the nation and investing in education to cultivate a more diverse and impactful cohort of students who pursue STEM pathways. Educators, support personnel, and…