| name | answer-processing |
| description | Use whenever the user uploads a hand-written or scanned answer PDF to be graded against a reference solution. Converts answer PDFs in `answers/*.pdf` to markdown in `answers/converted/*.md` using the pdf skill (OCR as needed), then performs strategy-based grading against `converted/solutions/*.md` or `quizzes/*_answers.md`. Invoked by `/grade`. |
Answer Processing
When to load
- User uploads an answer PDF and asks to grade it
/grade is invoked
- User says "I finished the quiz, here's my work"
Core pipeline
answers/<quiz-name>.pdf ← user uploads hand-written scan
↓ (pdf skill, OCR)
answers/converted/<quiz-name>.md
↓ (this skill)
grade report → stdout (compact) + errors/log.md (append)
Step-by-step procedure
Step 1: Locate the answer file
If /grade was called with an argument, use it as a hint. Otherwise find the most recently modified file in answers/ (not answers/converted/).
Step 2: Convert PDF to MD (if PDF)
Use the vision-ocr skill — delegates to a local VLM (Qwen3-VL 8B via ollama) for clean prose + LaTeX transcription (the script reads INTERFACE_LANG from .course-meta so the VLM keeps the handwriting in its original language), with pytesseract as automatic fallback.
python3 "${CLAUDE_PLUGIN_ROOT}/scripts/vision_ocr.py" answers/<name>.pdf answers/converted/<name>.md
The script handles model warmup, page-by-page inference, and tier fallback. See .claude/skills/vision-ocr/SKILL.md. The output header tells the grader which tier produced the text:
<!-- SOURCE: ..., qwen3-vl:8b @ 300dpi, N pages --> → high-confidence
<!-- TIER: tesseract fallback --> → degraded; treat results conservatively
Step 3: Graceful handling of OCR noise
Hand-written math OCR will be imperfect. Expect:
- Greek letters misread as Latin ($\alpha \to a$, $\beta \to B$, $\pi \to T$ or $n$)
- Fractions rendered as flattened text ($\tfrac{dU}{dT} \to dUdT$ or similar)
- Subscripts/superscripts lost or inlined
Do not grade on algebraic correctness of OCR output. Instead, apply strategy-based grading:
Step 4: Strategy extraction from noisy MD
Read the converted MD file. For each problem, identify:
-
Which pattern(s) did the user invoke? Look for:
- Named theorems / techniques the user wrote out ("Maxwell relation", "Stokes theorem", "by induction")
- Variables they held fixed (even if notation is mangled)
- Key intermediate objects (a chosen potential, a change of variable, an ansatz)
-
Did the reasoning reach the correct end form? Even if algebra is wrong, the user's final expression structure (Does it have a log? A sqrt? A series? Correct variables?) tells you if the approach worked.
-
Where did they stop? Incomplete work is common; note which step is the last recognizable one.
Step 5: Compare against reference solution
Open the reference (converted/solutions/<hw>.md for HW, quizzes/<name>_answers.md for quizzes, twins/<id>_<ts>_sol.md for twins, chain/<ts>_sol.md for chain).
For each problem/part, produce a verdict:
## P<n>
- Pattern match: ✅ / ⚠️ / ❌ [user invoked <Pk>, solution uses <Pk>]
- Variable choice: ✅ / ⚠️ / ❌ [user held <x> fixed, should be <y>]
- End form: ✅ / ⚠️ / ❌ [user's final: <form>, expected: <form>]
- Completeness: <last step user reached>
- Overall: <PASS | PARTIAL | FAIL>
- Note: <one line — what to study, which Pk to re-drill>
Do not report line-by-line algebra mistakes unless they are specifically about sign errors or notation bugs that matter on the exam (e.g., missing $-$ on $\kappa$ definition, conjugate vs. transpose confusion).
Step 6: Log errors
Canonical errors/log.md schema — single source of truth. Every command that appends here (/grade, /blind, future drills) MUST use exactly these keys. Downstream readers (statusline.py, weakmap, session_start.py) pattern-match on pattern: and problem_id: lines; any drift silently hides entries.
- problem_id: <id>
pattern: <Pk>
error_type: pattern-missed | wrong-variable | wrong-end-form | algebraic | sign | definition
phase: reading | comprehension | transformation | execution | encoding
nature: slip | misconception | gap
summary: "<1 line>"
source: answers/converted/<name>.md
date: <ISO>
overridden_by: <source>
Only problem_id, pattern, error_type, summary, source, date are required (the six REQUIRED_KEYS log_tool.py enforces). phase, nature, and overridden_by are optional additive keys — omit them and downstream readers promote phase/nature from error_type via DEFAULT_PHASE/DEFAULT_NATURE (paideia_lib.iter_error_entries); write them explicitly only when the grading determined a phase/nature that differs from the inferred default.
Write through log_tool.py — never hand-edit the log. Build the YAML
block for every non-✅ entry of this grading, then make ONE call:
python3 "${CLAUDE_PLUGIN_ROOT}/scripts/log_tool.py" append \
--source="answers/converted/<name>.md" <<'YAML'
- problem_id: <id>
pattern: <Pk>
error_type: <type>
summary: "<1 line>"
source: answers/converted/<name>.md
date: <ISO>
YAML
The tool schema-validates every entry (keys, error_type values, date shape,
source: equal to --source) and rejects the whole batch on any violation —
fix the block and re-run rather than writing around it.
Why the tool exists — idempotent by source:, replace don't pile up.
Re-grading the same answer (fix the OCR, re-run /grade) or re-running
/blind on the same problem must NOT leave two copies of that attempt's
errors in the log — the weakmap histogram would then double-count and
over-rank those patterns. log_tool.py append deletes every existing entry
whose source: equals --source before appending, atomically, so the log
stays a record of the latest grading of each source, not a transcript of
every re-grade. (A genuinely new attempt belongs under a new source: — a
new upload gets a new filename, so this only collapses true re-grades of the
same file.) If a grading produced zero errors on a re-grade, run
log_tool.py remove --source=<source> so the stale entries clear.
Misgrade correction — origin-preserving override.
When a user disputes a verdict (OCR misread, wrong error classification), use
log_tool.py override instead of append. The original entries are preserved
in the log with overridden_by: <source> injected after their date: line.
The correction entries are appended as the new current verdict (no marker).
This is the only path that maintains an audit trail of the original ruling.
python3 "${CLAUDE_PLUGIN_ROOT}/scripts/log_tool.py" override \
--source="answers/converted/<name>.md" <<'YAML'
- problem_id: <id>
pattern: <Pk>
error_type: <corrected-type>
summary: "<corrected 1-line description>"
source: answers/converted/<name>.md
date: <ISO>
YAML
Rules: override when changing the verdict; remove only when the re-grade produced zero
errors; never include overridden_by: in stdin (tool assigns it — passing it is rejected).
The weakmap histogram counts only entries without overridden_by: as current verdicts;
original-marked entries do not double-count. The six required keys and PATTERN_RX are
unchanged — overridden_by is an optional additive key, not a seventh required key.
Step 7: Render grade summary (chat output)
Compact table, no verbose explanations:
| Problem | Pattern | Vars | End form | Overall |
|---|---|---|---|---|
| P1 | ✅ | ✅ | ⚠️ | PARTIAL |
| P2 | ❌ | — | — | FAIL |
| P3 | ✅ | ✅ | ✅ | PASS |
Dominant issue: pattern-missed on P2 (used brute-force integration; should use residue theorem, P7).
Drill next: /blind <problem testing P7>, or /pattern P7 for quick review.
Keep this under 15 lines of output.
Handling edge cases
Empty or unreadable PDF
If OCR yields <100 chars total, ask the user (in INTERFACE_LANG from .course-meta, default en):
"OCR returned too little. PDF quality may be low or the handwriting too small. Options:
(a) re-scan brighter/larger and re-upload
(b) type the answer into .md and save it to answers/converted/<name>.md, then /grade again"
User uploads .md directly
Skip PDF conversion. Read answers/<name>.md directly. Everything else is the same.
Multi-page with disordered content
Hand-written work often has margin notes, arrows, struck-through attempts. OCR will render them chaotically. Note in the grade (in $INTERFACE_LANG): "Answer ordering ambiguous. My interpretation: . Let me know if different."
User already in context
If the user pastes their work directly into chat (not as PDF), grade it from context. Still apply strategy-based grading.
Anti-patterns (things NOT to do)
❌ Demand pixel-perfect algebra from OCR output
❌ Mark something wrong because OCR mangled a Greek letter
❌ Require the user to retype their solution in LaTeX
❌ Produce 3-page grade reports (stay compact)
❌ Reveal the reference solution before grading (user might be asking "did I get it right" as a first pass)
Integration
- Called by
/grade
- Uses
pdf skill for OCR
- Reads
course-index/patterns.md (pattern IDs) and converted/solutions/ or equivalent
- Writes to
errors/log.md and answers/converted/