6533b7d2fe1ef96bd125e8b2

RESEARCH PRODUCT

Non-standard Problems in an Ordinary Differential Equations Course

Svitlana RogovchenkoStephanie Treffert-thomasYuriy Rogovchenko

subject

design researchnon-standard problemsordinary differential equations[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][SHS.EDU] Humanities and Social Sciences/Education[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]ComputingMilieux_COMPUTERSANDEDUCATIONmathematical discoursecommognitive theoryexistence and uniqueness theoremsnonstandard problems

description

International audience; We report first results from a teaching intervention in an ordinary differential equations (ODEs) course for engineering students. Our aim is to challenge traditional approaches to teaching of Existence and Uniqueness Theorems (EUTs) through the design of problems that students cannot solve by applying well-rehearsed techniques or familiar methods. We analyse how the use of nonstandard problems contributes to the development of students' conceptual understanding of EUTs and ODEs.

https://hal.archives-ouvertes.fr/hal-01849927