Answer by Tommi for Effectiveness of Requiring Students to Repeat Proofs...
As a first intuition, I would rather ask for a proof of a special case or a different case; something which asks for some level of understanding (of what to alter), not only copying and pasting. It can...
View ArticleAnswer by user1149748 for Effectiveness of Requiring Students to Repeat...
I used to often ask questions of the form "State and prove Theorem X" in proof-based courses. My hope was that, instead of memorizing verbatim, students would boil the proof down to a few key ideas,...
View ArticleAnswer by Justin Skycak for Effectiveness of Requiring Students to Repeat...
If you're training musicians, you ideally want them to have two things:The ability to pick up their instrument and improvise something from scratch in real time, on the spot.The ability to leverage...
View ArticleAnswer by Steven Gubkin for Effectiveness of Requiring Students to Repeat...
I view a course as a story. The definitions introduce the characters, the theorems are the plot, and hopefully there is some sort of overarching message that plot is trying to convey.If you were...
View ArticleAnswer by guest troll for Effectiveness of Requiring Students to Repeat...
I vote yes, do it. If you want them to know the proofs (and you do), demonstrated recall will help assure that it happens.I think your hesitancy to have students duplicate work, and do something new...
View ArticleAnswer by trula for Effectiveness of Requiring Students to Repeat Proofs...
You will never be sure that the students really grasp a proof, if they can not express it or at least its essential part in there own words. Knowing proof really helps them to understand, what they do....
View ArticleEffectiveness of Requiring Students to Repeat Proofs Presented in Class
In teaching mathematics, I've avoided asking students to replicate proofs I've demonstrated in class, believing this approach primarily tests memorization rather than understanding or critical...
View ArticleAnswer by Justin Hancock for Effectiveness of Requiring Students to Repeat...
Asking students to reproduce proofs can be very effective. The degree of effectiveness is largely determined by how you ask students to do it. As this answer describes, some reproduction tasks can lead...
View ArticleAnswer by user21820 for Effectiveness of Requiring Students to Repeat Proofs...
I want to emphasize an alternative approach mentioned by Tommi:I would rather ask for a proof of a special case or a different case; something which asks for some level of understanding (of what to...
View ArticleAnswer by frIT for Effectiveness of Requiring Students to Repeat Proofs...
Allow me to add an answer from a student's perspective (many many years ago).In high school my maths marks were pretty mediocre, not bad enough to bar me from college, but still. Proofs were always...
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