Learning mathematics does not (necessarily) mean constructing the right knowledge. (English)

Learn. Math. 35, No. 3, 17‒22 (2015).

Summary: In this article, which was first published in 1991, the late Sandy Dawson, discusses aspects of a Lakatosian approach to mathematics teaching. The ideas are illustrated with examples from three teaching situations: making conjectures about the next number in a sequence; making conjectures about the internal angles in a triangle using Logo; and developing a way to find the difference between two eighteen-digit numbers entirely as a mental calculation. The article is a reprint of [in: D. Pimm (ed.) and E. Love (ed.), Teaching and learning school mathematics. London: Hodder and Stoughton (1991)].