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Marco, Nadav; Palatnik, Alik; Schwarz, Baruch B. – For the Learning of Mathematics, 2021
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…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic