This study was guided by the question, how do we understand the multiplicative reasoning of upper high school students and use that to give insight to their performance on a standardized test? After administering a partial ACT assessment to a class of high school students, we identified students to make comparisons between low and high scoring…

More knowledge is needed regarding the student factors that impact academic reading and success in college beyond traditional measures of college readiness. This study examined the contributions of student factors specified by the Proficient Academic Reader framework--reading literacy skills, metacognitive reading strategies, and reading…

Procedures for identifying the gifted often make use of tests of general intelligence, among other assessments. Robert J. Sternberg recently suggested that identification of the gifted should further involve assessment of what he refers to as adaptive intelligence--the ability to adapt to real-world environments. Such a conception of intelligence…

Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…

Problem Roulette (PR), an online study service at the University of Michigan, offers points-free formative practice to students preparing for examinations in introductory science, technology, engineering, and mathematics courses. Using four years of PR data involving millions of problem attempts by thousands of students, we quantify the benefits…

Spearman concluded that performance on any test of mental ability could be explained by several cognitive factors organized hierarchically as one general factor and several subordinate specific factors (Spearman, 1904, 1927). The general factor accounted for the significant amount of inter-correlation between all ability tests for any one…

Large foundational courses delivered in lecture halls are disadvantaged in eliciting participation from all students and maintaining engagement throughout the class session. We introduced a question-driven method facilitated by an audience response system, namely TopHat™, that allows the instructor to engage students in solving Calculus problems…

One primary goal of many science courses is for students to learn creative problem-solving skills; that is, integrating concepts, explaining concepts in a problem context, and using concepts to solve problems. However, what science instructors see is that many students, even those having excellent SAT/ACT and Advanced Placement scores, struggle in…

This study aims to investigate the effectiveness of the Emporium instructional method in a course of college algebra and trigonometry by comparing to the traditional lecture method. The math emporium method is a nontraditional instructional method of learning math that has been implemented at several universities with much success and has been…