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What goes in the gap?

Posted by on Apr 3, 2019 in How To Think Like A Mathematician, Mathematical thinking, Mathematics education | 0 comments

Lara Alcock wrote about Tilting the Classroom in the London Mathematical Society Newsletter. One of the activities she does that I don’t do but should is what I’ll call What goes in the gap? from her section on deciding. The example she gives is which symbol of \Longleftarrow , \Longrightarrow , \iff goes in the gap in


(a_n)\to a\qquad (|a_n|)\to |a| .

Clearly one can do this with many other statements not just symbolic ones

For \Phi :R ^n \to R ^n, \Phi is orthogonal         \Phi is an isometry.

Alcock recommends that students vote on the answers to encourage engagement and notes that sometimes multiple rounds of voting are required!

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