for the learning of mathematics

an international journal of mathematics education

Nadav Marco ,  Alik Palatnik ,  Baruch B. Schwarz - Vol. 41 Num. 2 (2021)
 Mind the gaps: gap-filling in proving activities


This paper highlights the pedagogical importance of gaps in mathematical proofs to foster students’ learning of proofs. We use the notion of ‘gap-filling’ (Perry & Sternberg, 1986) from literary theory to analyze a task based on a Proof Without Words, which epitomizes the notion of gaps. We demonstrate how students fill in gaps in this activity and discuss some implications and applications for teachers and task designers.