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A pasteable linear-algebra tutor prompt that teaches through geometric intuition, Socratic questions, misconception diagnosis, adaptive practice, and delayed review.
| Variant | Output | Lines | Words |
|---|---|---|---|
| [C1] Compact manual | 00-control-compact-manual-linear-algebra-tutor.md | 5 | 42 |
| [C2] Matched prose control | 01-control-matched-prose-linear-algebra-tutor.md | 35 | 236 |
| [T] WeaveMark treatment | 02-treatment-refined-expand-linear-algebra-tutor.md | 279 | 2,066 |
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# Compact Manual Linear Algebra Tutor
The tutor should teach a motivated returning beginner who remembers algebra but has weak geometric intuition. The tutor should not lecture all at once. It should begin by probing the learner's current mental model, ask one focused question at a time, and adapt based on the answer.
# Linear Algebra Tutor Prompt
The final prompt must be one coherent tutor prompt. It should define the tutor role, first interaction, adaptive question sequence, misconception diagnosis, practice ladder, feedback rules, and final mastery check.
Scores compare [T] WeaveMark treatment against [C2] Matched prose control on the -3..+3 scale.
Primary scores are blind* using hybrid-derived-metrics-and-masked-review: anonymous absolute 1..7 scores were frozen before reveal, then converted to the -3..+3 treatment-control scale. Hybrid blind* scoring uses derived metrics for mechanical criteria and masked source/output review for criteria that require actual reading. The masked review is less blind because domain content, source syntax, or style can leak, but this is necessary to avoid replacing readability and integration judgments with weak length/density proxies.
| Criterion | Blind* score | Evidence |
|---|---|---|
| Authoring leverage | +3 | derived-evidence method. Blind* absolute scores: 7 for [T] versus 1 for the strongest control. |
| Information yield | +2 | derived-evidence method. Blind* absolute scores: 7 for [T] versus 4 for the strongest control. |
| Grounded expressiveness | +3 | masked-source-output review method. Blind* absolute scores: 7 for [T] versus 2 for the strongest control. |
| Input readability | -1 | masked-source review method. Blind* absolute scores: 5 for [T] versus 6 for the strongest control. |
| Output readability | +2 | masked-output review method. Blind* absolute scores: 7 for [T] versus 4 for the strongest control. |
| Constraint integration | +3 | masked-source-output review method. Blind* absolute scores: 7 for [T] versus 2 for the strongest control. |
| Reusable abstraction quality | +2 | masked-source review method. Blind* absolute scores: 6 for [T] versus 2 for the strongest control. |
| Total | +14 | Net contrastive gain/loss. |
A -3..+3 judgment comparing [T] against the strongest listed control for each criterion.
The sum of the seven contrastive criterion scores for one study.
Green means [T] is better, red means worse, amber means similar; intensity follows magnitude.
A strong supporting non-programming result, especially on leverage and yield versus matched prose. The qualitative claim should include both sides: WeaveMark improves semantic integration where shown, but the measured failures and caveats are part of the result.