Students’ Understanding of Riemann Sums and Double Integrals: The Case of Task Design in APOS Theory
Vahid Borji,
Rafael Martínez-Planell,
María Trigueros
Abstract:In this study, we investigate students’ understanding of the relation between a double integral of a continuous function over a rectangle and the corresponding Riemann sums. To do so, we explore the relation between (1) a proposed model (genetic decomposition) of mental constructions that students may do to understand the relation between Riemann sums and double integrals, (2) tasks designed to help students make these constructions, and (3) the results of semi-structured interviews with eleven students who co… Show more
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