New answers tagged reference-request
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Scoring too strictly might be counter-productive if the students are too young?
Not sure if this is what you're looking for but in Karen Elizabeth Kebles's paper "What's in an A? A Quantitative Study on the Grading Perceptions of Middle School and High School Math Teachers" If you skip down to page 114 to see the results of "What are middle school and high ...
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My advice: Look at the test itself. If possible get some statistics on common errors. If not, ask other teachers or at least use your intuition. I.e. make an intelligent guess, "Bayesian estimate".
Then design something (lecture and practice together) to hit the common mistakes. Don't reteach theory, concepts, etc. in some sort of organic manner. You ...
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You might engage them in billiards on an elliptical table
(1st ref below), or on a circular table but aiming to hit
a second ball (2nd ref below).
Nice analytic geometry coupled with intuitive situations.
See this Numberphile video.
Fig.1 (detail) in Reznick et al.
&...
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As Benjamin Dickman, I am also not aware of any texts or other resources aimed directly at high-school (or earlier) teachers, but there are a number of APOS oriented studies at these levels that should be accessible and may contain some concrete ideas on structuring e.g. lesson plans.
Here is a small selection of texts that you and your colleagues may find ...
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