Interpretations: quick rules of thumb

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Low average + low dispersion (everyone low)
- Likely problems: assessment misaligned with teaching, teaching pace too fast, or previously missing prerequisite knowledge. Plan a re-teach for most of the class.
Low average + high dispersion (wide spread)
- Likely: a few students got it, many didn’t. Consider differentiated support and check whether the assessment favored certain learners. Might need small-group interventions.
High average + high dispersion
- Many succeed, but some are left behind. Plan extensions for high achievers while supporting those who fell through.
High average + low dispersion
- Most students are successful. Focus on deeper challenges or transfer tasks and maybe assess higher-order skills (metacognition, application).
Many students missing the same item
- Targeted mini-lesson on that concept; use examples that bridge from students’ prior knowledge.
Students answer correctly but can’t explain
- They may be using rote procedures. Build tasks that require explanation, justification, and transfer.

Top Teacher Theory 1: W