Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…

Research suggests that using only standardized placement test scores to determine which new college students should take developmental coursework is inadequate, as many students may be unnecessarily assigned to developmental courses. These courses generally take one or more semesters to complete, delaying entry into college-level coursework, and…

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…

Recent trends in developmental education (DE) include the reduction of time spent in DE courses, which includes the acceleration of the course content. In 2011, the North Carolina Community College System redesigned all DE mathematics courses using this trend of acceleration. This study looks at the subsequent gateway mathematics course success…

Virtually all community colleges and more than 90 percent of public four-year colleges use the results of placement tests--either alone or in concert with other information--to determine whether students are ready for college-level coursework or need remedial help in math or English. Evidence suggests that placement tests do a poor job of…

Many incoming college students are referred to remedial programs in math or English based on scores they earn on standardized placement tests. Yet research shows that some students assigned to remediation based on test scores would likely succeed in a college-level course in the same subject area without first taking a remedial course if given…

Classroom voting can be an effective way to stimulate student discussions. In this pedagogy, the instructor poses a multiple-choice question to the class, and then allows a few minutes for consideration and small-group discussion before students vote, either with clickers, cell phones, or a non-electronic method. After the vote the instructor…

Mathematics textbooks are a significant pedagogical tool, particularly in light of the growing interest in "flipped" classrooms. However, there has been little research on how mathematics students read and comprehend textbooks. This article uses the ideas of the implied reader, sense-making frames, and sense-making gaps to analyze…

Statway® is an accelerated developmental mathematics intervention program for college students who are not yet prepared to succeed in a college-level math course. The Carnegie Foundation for the Advancement of Teaching created the initiative to increase student success rates in developmental mathematics and subsequent credit-bearing, college-level…

Objective: Quantway is a Carnegie Math Pathways initiative, which redesigns the content, pedagogy, and structure of traditional developmental mathematics courses to simultaneously tackle traditional barriers to student success and support a broad range of developmental students in achieving their mathematics potential. Specifically, Quantway is a…

Across the United States, more than half of entering freshmen discover they are ineligible for college-level coursework each year, most commonly in math. The readiness gap is widest when considering students at nonselective two-year colleges, and students who are black, Hispanic, or from low-income families. It often spells disaster for students…

The United States lags behind many countries in mathematics proficiency. Quite often, students after graduating from high school are not prepared to enter college and are required to take remedial courses before taking credit-bearing math courses. This is particularly true at two-year institutions such as LaGuardia Community College, which…

An experiment was conducted over three recent semesters of an introductory calculus course to test whether it was possible to quantify the effect that difficulty with basic algebraic and arithmetic computation had on individual performance. Points lost during the term were classified as being due to either algebraic and arithmetic mistakes…

Quantway is a Carnegie Math Pathways initiative which redesigns the content, pedagogy, and structure of traditional developmental math courses to simultaneously tackle traditional barriers of student success and support a broader range of developmental students in achieving their math potential. Specifically, Quantway is a quantitative reasoning…

High failure rates in calculus have plagued students, teachers, and administrators for decades, while science, technology, engineering, and mathematics programmes continue to suffer from low enrollments and high attrition. In an effort to affect this reality, some educators are "flipping" (or inverting) their classrooms. By flipping, we…