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.…

Though there has been limited empirical research on the cost component from the expectancy-value model, a recent interest in the construct has spurred advances in theory and measurement. We present a longitudinal analysis of four types of cost: effort, loss of valued alternatives, emotional, and outside cost. We focus on how cost changes over time…

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…

Until recently, most colleges required students to pass a college-level algebra course in order to earn a degree. As many as 50 percent to 70 percent of community college students enter college unprepared to take these courses, and fewer than 20 percent of such students ever successfully complete a college-level math course; the rest are…

Since the mid-20th century, the standard U.S. high school and college math curriculum has been based on two years of algebra and a year of geometry, preparing students to take classes in pre-calculus followed by calculus. Students' math pursuits have been differentiated primarily by how far or how rapidly they proceed along a clearly defined…

A classroom response system (CRS) involves the use of remote devices allowing all students in a class to respond to questions displayed on a projection screen. A CRS instantly collects, tallies, and shows students' answers to a question on a classroom projection screen--a similar system used in the TV show "Who wants to be a millionaire"…

The choice of pedagogy in statistics should take advantage of the quantitative capabilities and scientific background of the students. In this article, we propose a model for a statistics course that assumes student competency in calculus and a broadening knowledge in biology. We illustrate our methods and practices through examples from the…

Reform in mathematics instruction at the college level has been slow to arrive (Dossey, Halvorson, & McCrone, 2008), and many institutions of higher learning still follow the calculus model, while fewer and fewer students need calculus for their chosen areas of study (Ganter & Barker, 2003). Instead, mathematics that is applicable and transferable…

A significant amount of attention has been given to the predictors of academic achievement in higher education. However, the vast majority of articles have centred on entrance criteria and the learning approaches or personal habits of students. Investigations into how achievement depends on student efforts, being almost invariably based on…

A derivation of the Maxwell Boltzmann distribution without using the Lagrange method of undetermined multipliers is represented. (Contains 1 figure and 2 notes.)

For some students, using the method of cross sections to find the volume of a solid is difficult to understand because of the abstraction involved. This paper demonstrates a fun way for students to visualize the method of cross sections. Although a fun activity, the paper implicitly conveys the importance of connecting theory and experiment.…

This document contains nine research papers presented at the Joint Special Session on Research in Undergraduate Mathematics Education at the annual meeting of the American Mathematical Society and the Mathematical Association of America (San Francisco, California, January 1991). Paper titles are: "The Teaching and Learning of College…