Closed but provocative questions: curves enclosing unit area. (English)

Int. J. Math. Educ. Sci. Technol. 46, No. 5, 776-783 (2015).

Summary: This article describes a task leading to work on curve sketching, simultaneous equations and integration to find the area enclosed between two curves. An initial closed question is used to confront students with a provocative answer, which they then explore in a much more open-ended way.