For decades, calculus has towered over the high-school math landscape, its mastery viewed as the surest marker of high academic achievement. Yet in New England as across the nation, changes are underway: Statistics and data science courses are multiplying, and state leaders are re-engineering graduation rules so students can choose the pathway…

A student-led mathematics bootcamp has been designed and implemented to help foster community building, improve confidence in mathematical skills, and provide mathematical resources for incoming physical chemistry doctoral students. The bootcamp is held immediately before the start of the first semester of graduate school and uses an active…

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

This quantitative correlational study examines school-level longitudinal outcomes of eighth-grade algebra universal acceleration in 15 U.S. school districts when compared with selective acceleration in 289 school districts. Universally accelerated school districts had higher enrollments, with large effect sizes, in geometry, algebra 2, and…

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 survey paper presents recent relevant research in mathematics education produced in Spain, which allows the identification of different broad lines of research developed by Spanish groups of scholars. First, we present and describe studies whose research objectives are related to student learning of specific curricular contents and…

This paper introduces a course design for a post-Calculus undergraduate course on mathematical modeling for the life sciences. The course includes differential equations, discrete, and cellular automata approaches (among others) to modeling questions in the life sciences, as well as a variety of biological topics. The course focuses on model…

A study was done at a mid-sized public university in the Midwest of the United States. At this university, there are three large classes taught in Student-Centered Active Learning Environment with Upside-down Pedagogies (SCALE-UP) classrooms: algebra-based introductory physics, calculus-based introductory physics, and introductory statistics.…

We developed the Physics Inventory of Quantitative Literacy (PIQL) to assess students' quantitative reasoning in introductory physics contexts. The PIQL includes several "multiple-choice-multipleresponse" (MCMR) items (i.e., multiple-choice questions for which more than one response may be selected) as well as traditional single-response…

Academic scholars face a difficult challenge when attempting to grasp the intricate world of mathematics. The complexity of mathematical concepts often lies hidden beneath layers of formulas and procedures, obscuring their true essence. Traditional educational resources often fall short in conveying the profound meaning behind these concepts,…

In the continual pursuit of classroom learning effectiveness, researchers and educators aim to develop strategies that improve student performance and learning. One such strategy is to create academically homogeneous environments where students are grouped into classes based on their preconceived academic ability. The research team tests this…

Governmental and educational organizations have pointed out that students coming into the biological sciences require stronger skills in statistics and data modeling that are not usually addressed in typical engineering-based calculus courses. Our work here documents how faculty in biology and mathematics addressed this issue at a large urban…

The goal of the paper is to pay attention to some important techniques and approaches including adequate designations as a tool for unambiguous understanding and a key to success in solving problems, vivid visual images as a mnemonic techniques, and special formulas as a universal tool for solving typical problems, when teaching medical students…

While calculus remains the gold standard of academic rigor in most college admissions offices, educators and employers increasingly champion advanced statistics as critical for navigating today's data-driven workforce. So which math pathway actually shapes long-term success? To find out, we asked UT Austin Associate Professor Matt Giani, graduate…

Analyzing the test scores of more than 10,000,000 students who participated in the Advanced Placement (AP) math exams from 1997 to 2019, this study examined the direction and magnitude of the trend in gender disparity by race in participation in and top achievement on AP Calculus AB, Calculus BC, and Statistics exams. The results of this study…