Merry Christmas, everyone!
Small-Scale Question Sunday for December 25, 2022
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There's no good reason you should do worse after going back and reviewing answers. More time to think should always be better, ceteris paribus. The only explanation I can think of would be if you're biased toward assuming your initial answer was wrong (e.g. because you doubt your own intelligence or doubt your test taking abilities) and so you consistently talk yourself into changing answers you shouldn't change.
What I found when studying for LSAT was that frequently I changed an answer from correct to incorrect when I went back. Typically after a section there were 2-3 I was unsure of.
I developed a rule that I would only change the answer if I could construct basically a logical statement that proves another answer was correct. When that happened changes were generally from incorrect to correct.
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It's not that I always did worse, it's that it was as likely I'd do worse as I'd do better. At a certain point more time isn't helpful, in a closed book exam room setting time is only helpful up to some point where you've done all the work and extracted all the knowledge from your brain. I seem to hit that point much faster.
Can you be more specific about the type of test you're talking about? I initially envisioned a g-loaded multiple-choice test like the SAT, but what you're describing sounds more like a long-form written answer test based on subject matter knowledge. As another commenter pointed out, maybe you're just a fast writer/typist?
As someone who has always been an extremely fast test taker (and a consistently high-scoring test taker), I still struggle to think of situations where more time would not be beneficial for me. Unless the test is pure regurgitation of memorized lists, or unless the test is so easy that you're scoring close to 100% on the initial pass, having more time to review and refine your answers should tend to result in a higher score.
"Solve this math question" where you don't actually know how to do all of it. More time won't help when you lack some of the fundamental knowledge required.
If you literally have no clue how to do it, then I can see how more time would not be helpful. But I wouldn't consider that being a "fast test taker" I would consider that simply being unprepared for the test.
In my experience as someone who majored in physics and minored in math, there is almost always some way to use additional time productively on math tests, even if you're stumped by a problem. Re-write the problem in a different form and see if it looks more familiar. Change the coordinate system and see if it makes things easier. Try out various mathematical tools/techniques and see if they work.
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I mean just set the time period to thousands of years, and eventually your descendants will develop new maths?
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Everything. SAT, LSAT, ASVAB, Grade school math, high school calc, undergrad econ, law school fed courts. Been perpetually true. Essay, multiple choice, hard, soft. Selective college, gen pop at a public school.
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