Secondary preparation for single variable college calculus: Significant pedagogies used to revise the Four Component Instructional Design model

There is abundant evidence that many students in the United States are not adequately prepared for college calculus. How to design and implement instruction to adequately prepare secondary students for college calculus is a concern to both college mathematics professors and secondary mathematics teachers. While both groups agree that rigorous instruction promotes mathematical understanding, they hold different opinions about how to optimally prepare high school students for single variable college calculus. This is important because readiness for success in college calculus is a known gatekeeper for success in STEM majors. The data used in this study was drawn from the Factors Influencing College Success in Mathematics (FICSMath) project, which focuses on finding evidence for effective strategies that prepare students for college calculus success. Funded by the National Science Foundation (NSF award ;...