Abstract:This paper concerns undergraduate mathematics students’ understandings of refutation and their related performance in abstract conditional inference. It reports on 173 responses to a refutation instrument that asked participants to: 1) state ‘true’ or ‘false’ for three statements, providing counterexamples or reasons if they thought these false (all three were false); 2) evaluate possible counterexamples and reasons, where reasons were ‘corrected’ versions of the statements but not valid refutations; and 3) ch… Show more
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