RUME 25
2023
Omaha, Nebraska
Student Quantitative Understanding of Single Variable Calculus
Page: 359
Student understanding of key concepts from Single Variable Calculus and the role of infinitesimals was investigated. Analysis was done using a framework which highlights quantitative reasoning. Data showed robust understanding of instantaneous rate and change across multiple representations. I examined the rich student connections between those concepts expressed discretely in Algebra and expressed instantaneously in Calculus, and how conceptions of infinitesimal quantities were formed in order to support those connections. Implications for instruction are considered.