RUME 26
2024
Omaha, Nebraska
Student Quantitative Understanding of Integration in Single Variable Calculus
Page: 386
Student understanding of integration and 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 rich understanding of integrals in multiple representations, with some gaps. Also revealed were connections between those concepts expressed over intervals in Algebra and expressed instantaneously in Calculus, and how conceptions of infinitesimals supported those connections. Implications for instruction are considered.