Wednesday, April 9, 2014: 9:10 AM
Room 203/204 ( Ernest N. Morial Convention Center)
This proposal presents students’ proof schemes for proving and disproving mathematics propositions using 480 proofs constructed by 60 Singapore students. A seven-level classification for proving and a six-level classification for disproving revealed the cognitive nuances in inferential processes and suggested an interplay found between students’ mathematical knowledge and inferential processes.