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#deck:Math::Learning to learn::Metacognition
#tags:learning metacognition
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What is metacognition, in Flavell's words?	Thinking about your own thinking.	definition
Name Flavell's four aspects of metacognition.	Think about your own thinking; be aware of yourself as a problem solver; monitor, plan and control your mental processing; accurately judge your level of learning.	definition
Which of the four aspects of metacognition can be measured?	Accurately judging your level of learning: write a confidence before answering, then compare with the results.	calibration
What question does McGuire suggest asking while studying?	Am I understanding this material, or just memorizing it?	definition
What does it mean to be calibrated?	Your answers given with p percent confidence are right about p percent of the time.	calibration
What is the overconfidence gap?	Mean confidence minus the share of answers that were right. Positive means overconfident.	calibration
What is the Brier score?	The mean of (confidence - outcome) squared, with outcome 1 for right and 0 for wrong. 0 is perfect.	scoring
What Brier score does saying 50 percent every time give?	0.25.	scoring
What does the Brier score charge for being 100 percent sure and wrong?	1, the most it can charge.	scoring
Why can the Brier score not be gamed?	Its expected value p(1 - q)^2 + (1 - p)q^2 is smallest at q = p, so reporting your true belief is best. It is a proper scoring rule.	scoring
Why does rereading make learners overconfident?	The page feels familiar, and familiarity feels like knowing. But an exam asks for recall without the page, which rereading never tests.	trap
When should you stop studying a topic?	When a test without looking says you know it, not when it feels familiar.	trap