Secondary Mathematics Deep Repair Routes (P1→P3 Playbook)

(Z0–Z3 Execution Repair + Robustness Upgrade) (Almost-Code Canonical)

CANONICAL LAYER: Almost-Code (Deep Repair Playbook)
SPEC FAMILY: Education OS → EDU-MATH-SEC
GLOBAL VERSION: AC.v1.0
STATUS: Active
SCOPE: A precise routing playbook to lift Secondary Mathematics from fragile P1/P2 to robust P3 across Z0–Z3

0) Reader Contract

This page is execution logic, not commentary.

  • No persuasion.
  • No debate.
  • Goal: P3 under variation + time pressure.
  • Repairs always route to the lowest failing primitive first.

1) Phase Targets (Learning)

P1: works on familiar templates; collapses under variation/time
P2: functional under normal practice
P3: robust under variation + time; stable after delay; low error clustering

2) Secondary Math Collapse Clusters (Canonical)

CLUSTERS:
C1 Algebra manipulation breaks under speed
C2 Problem translation fails (language→math mapping)
C3 Method selection fails (which topic/technique applies)
C4 Careless error clustering (systematic slips)
C5 Multi-step integration collapse (hybrid questions)
C6 Retention collapse (forgot after short delay)

3) Minimal Diagnostic Packet (Z0)

Run this before any “more practice” escalation.

DIAG PACKET:
D1 Untimed accuracy set (mixed topics)
D2 Timed accuracy set (exam pace)
D3 Novel variant set (transfer)
D4 Error clustering map (types + locations)
D5 Explanation bind check (can learner explain method?)
D6 Retention check (repeat after 3–7 days)
OUTPUT:
- failing cluster(s) C1..C6
- failing primitive(s)
- recommended route(s)

4) Route Library (Deep)

ROUTE.MS.001 — Truncation + Scope Freeze (Stop-Loss)

RouteID: ROUTE.MS.001
Trigger: repeated test collapses OR high variance OR overload
Steps:
1) Freeze new topics
2) Narrow to top 2 failure clusters
3) Reduce volume; increase diagnostic quality
4) Protect buffers (sleep + routine)
5) Create stitching window
Verify:
- reduced panic
- error clustering decreases

ROUTE.MS.002 — Algebra Integrity Stitching (C1)

RouteID: ROUTE.MS.002
Trigger: manipulation errors, sign errors, expansion/factorisation breaks
Steps:
1) Identify micro-error type (sign, distribution, fraction handling)
2) ZoomShiftDown to primitives (line-by-line manipulation rules)
3) Drill micro-sets with immediate error correction
4) Reintroduce mixed algebra in low variance
5) Add time pressure gradually
Verify:
- algebra error rate collapses
- timed stability returns

ROUTE.MS.003 — Translation Bind Repair (C2)

RouteID: ROUTE.MS.003
Trigger: learner “doesn’t know what the question wants”
Steps:
1) Teach question decomposition (given / asked / constraints)
2) Paraphrase into simpler language
3) Build equation/diagram from binds (units, relationships)
4) Practice 10–15 translation-only drills (no full solving)
5) Then solve
Verify:
- interpretation accuracy improves
- fewer wrong-method starts

ROUTE.MS.004 — Method Selection Router (C3)

RouteID: ROUTE.MS.004
Trigger: knows topics but chooses wrong methods
Steps:
1) Build a method decision tree (topic signatures)
2) Train “first 20 seconds” recognition
3) Mixed sets by signature (not by chapter)
4) Add variant questions to prevent memorisation
Verify:
- correct method chosen early
- time wasted decreases

ROUTE.MS.005 — Careless Error De-Clustering (C4)

RouteID: ROUTE.MS.005
Trigger: repeated careless mistakes of the same type
Steps:
1) Classify error clusters (carry, sign, copying, arithmetic, unit)
2) Install check rules targeted to cluster (not generic)
3) Slow down only at high-risk steps
4) Timed practice with “checkpoint checks” (3–5 seconds)
5) Review errors weekly; update check list
Verify:
- clustered errors drop
- accuracy rises without major speed loss

ROUTE.MS.006 — Integration Training (C5)

RouteID: ROUTE.MS.006
Trigger: hybrid/multi-step questions collapse
Steps:
1) Identify common integration pairings (topic→topic)
2) Solve linkage drills (step mapping)
3) Train working memory control (write structure early)
4) Gradually increase difficulty and time pressure
Verify:
- stable performance on hybrid sets

ROUTE.MS.007 — Retention & Spaced Repair (C6)

RouteID: ROUTE.MS.007
Trigger: “I understood last week but forgot”
Steps:
1) Short daily recall sets (5–12 minutes)
2) Spaced repetition schedule (1d/3d/7d)
3) Re-solve without notes; then compare
4) Fix missing primitives, not just rewatch solutions
Verify:
- delayed accuracy improves
- rebuild time shortens

5) Z1 Buffer & Routine Coupling (Mandatory)

RULE:
If RoutineStability is low, deep repair fails.
Invoke:
- ROUTE.TRANS.001 (Buffer thickening)
- ROUTE.OL.007 (Buffer stabilisation variant)

6) Z2 Delivery Coordination (School + Tuition)

Z2 RULES:
- avoid duplication of workload
- tuition targets repair routes; school targets breadth
- load balancer prevents overstack
BIND:
{PlaceID}::EDU-MATH-SEC::Z2::InstructionBind::BIND::002 must remain stable,
or learner experiences method conflict and collapses.

7) P3 Confirmation Tests (Secondary Math)

P3 CONFIRMED IF:
- stable timed accuracy
- success on unseen variants
- low error clustering
- correct method selection early
- retention holds after delay

8) Mandatory Failure Mode Trace (Deep Math)

FAILURE MODE TRACE:
topic volume increases
→ method selection confusion
→ panic practice escalates volume
→ buffers thin
→ careless errors cluster
→ timed collapse repeats
→ P1 drift becomes chronic
Correct trace:
truncate
→ identify failing cluster
→ stitch primitives
→ controlled timed re-entry
→ integration training
→ spaced retention
→ P3 robustness

9) Canonical Claim Set (Frozen)

CLAIMS (frozen):
- Secondary Math collapses cluster into C1–C6 patterns.
- “More practice” without diagnosis increases false competence.
- Repairs must route to primitives and error clusters.
- P3 requires time + transfer + retention stability, not chapter completion.
- Buffer stability (Z1) is a prerequisite for deep repair success.

END — Secondary Mathematics Deep Repair Routes (AC.v1.0)

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