Moonbear said:
Wow! That's a great idea! I might have to incorporate a few like that into future exams. Did he ever get a student that went through and just circled choices? With enough years of teaching, surely there was one student who didn't read instructions and just filled out their multiple guess answers.
Haha well there are big sections of questions in between. (usually 3-4 question per multiple choice). Like we got a multiple choice which was basically "Evaluate such and such an intergral" the questions we got were;
"Can the value be negative?" - Of course, we're just evaluating, not finding the area under the graph.
"Use your calculator to evaluate the integral" - The answer was -2 (what was funny is some people said no to the first question then put -2 for this one).
"Use Calculus to determine the answer" - simple enough.
"What mistake would someone choosing alternative E: 2, have made?" - Thinking that you can't have negatives, or having the evaluation of the integral the wrong way around (Like having 2 - 0 rather then 0 - 2).
Also stuff like "What is the derivative of e^(x^2)" and "Why would a student be temped to choose B: 2xe^2x?"
I think it's really handy way of teaching things, and it helps students to be more aware of stupid little mistakes, which I think is really good because most the time when I get a question wrong it was just some stupid freakin' mistake or miss-thinking that screwed me up. For instance in one test it asked me to evaluate the area under the graph of somethingorother from x = -2 to x = 2 and I for some stupid reason read it as "y= -2 to y = 2"! Luckily I figured out why I was so confused after a while haha.
Another stupid mistake I did was anti-differentiation and evaluation bit, and I was just about to finish the evaluation when I realized I left out the most important bit, c. So I just added +c on the end of all my lines and of course forgot to multiply the c by 3 along with everything else, so I got c = 12 rather then c = 4. I was the only student to get that far, which was kind of ironic considering I thought the question was kind of easy, and they get better marks then me - because I haven't done a single lick of work since the start of the year. (I literally slept through classes - which wasn't a good idea, but I'm too lazy)
I'm sort of lucky to get through high school unscathed though, my chemistry teacher wanted to fail me because I did no homework or anything - I did the required work (which are done in SACs in Australia, donno about other places). Just nothing else he wanted me to do. But that's when I got a B on my chemistry mid-year (The highest in the class was B+ only 1, then a few Bs and the rest were Cs, I donno if it was a hard exam or if the class is just stupid) so that ruined his chances of failing me. But he is a cool teacher and we talk a fair bit, he didn't want to fail me because he doesn't like me, just because I did no work and deserved a fail so badly.
Anyway a ranted on a bit, that's basically my whole life. :P