eduKateSG.IC.CoreModules.UniversalPack.v1.0

# =========================================================
# UNIVERSAL CORE MODULES PACK (Shared by ALL lanes)
# Each module is publishable as a standalone foundation page.
#
# IDs:
#   eduKateSG.IC.CoreModule.<Name>.v1.0 (one per module)
# Bundle ID:
#   eduKateSG.IC.CoreModules.UniversalPack.v1.0
#
# Grammar: ClassicalFoundation → CivGradeDefinition → P0–P3 Map → Examinables (D/S/T/V/C)
#          → Threshold Inequality → Failure Trace → Repair Corridor → Retest → Badge mapping
# =========================================================
This module operates inside InterstellarCore.GeniusCorridor v1.0.
Entry: Stable P3 only.
Fence: APRC enforced.
Bounded: Subject to BudgetRules (BaseFloor protection).
Return: All outputs must produce reusable artefacts.
  CoreModules_UniversalPack:
  Meta:
    BundleID: eduKateSG.IC.CoreModules.UniversalPack.v1.0
    Version: v1.0
    UsedBy: "All Career Lattice lanes + University + Gifted + CCA"
    CoreLaw:
      - "These modules prevent civilisation-grade failure by enforcing verification, transfer, and stability."
    PassRule_Global:
      - "No lane module pass if Core Verification module not maintained."
  Modules:
    # =====================================================
    # 0) VERIFICATION CORE (the keystone)
    # =====================================================
    - ModuleID: CORE.Verification.001
      Meta:
        ID: eduKateSG.IC.CoreModule.Verification.v1.0
        Title: "Verification: Assumptions → Tests → Edge Cases → Rewrite"
      ClassicalFoundation:
        - "Verification is checking whether claims are true using evidence and tests."
      CivGradeDefinition:
        - "Verification is the corridor guard that prevents plausible nonsense under load (human or AI)."
      P0_P3_Map:
        P0: "No checks; confidence-driven; hallucination risk"
        P1: "Checks only when forced; inconsistent"
        P2: "Checks habit exists; edge cases sometimes"
        P3: "Checks are automatic; bounded conclusions; independent cross-check"
      Examinables:
        Depth_D: "Explain your method + why it should work (1 page)."
        Stability_S: "Maintain verification during timed/stress work."
        Transfer_T: "Apply verification to a new domain (non-math)."
        Verification_V: "Produce VerificationPack: assumptions>=2, tests>=3, edge case>=1, rewrite>=1."
        Coordination_C: "Peer uses your pack to reproduce result."
      Threshold_Inequality:
        - "PASS requires: V >= 2 AND (D+S+T+C)/4 >= 2 (0–4 scale)."
      FailureTrace:
        - "No assumptions list → wrong method → no tests → error persists → confidence increases → collapse at stress."
      RepairCorridor:
        Truncation: "Stop new work; only verification pack for 7 days."
        Repair: "Write assumptions; design 3 tests; add edge case; rewrite conclusion."
        Stitch: "Reintroduce normal workload gradually over 2 weeks."
      Retest:
        - "Submit 3 verification packs on 3 different tasks; must include 1 failure fixed."
      BadgeMapping:
        Bronze: "Can produce pack with help"
        Silver: "Pack independent + consistent"
        Gold: "Includes alternate approach compare"
        Platinum: "Independent cross-check + replication"
    # =====================================================
    # 1) LOGIC & REASONING CORE (proof habit)
    # =====================================================
    - ModuleID: CORE.Logic.010
      Meta:
        ID: eduKateSG.IC.CoreModule.LogicReasoning.v1.0
        Title: "Logic & Reasoning: From Claims to Proof-like Thinking"
      ClassicalFoundation:
        - "Logic studies valid inference: if premises are true, conclusions follow."
      CivGradeDefinition:
        - "Logic is the anti-hallucination skeleton that makes thinking stable under stress and complexity."
      P0_P3_Map:
        P0: "Jumps; narrative reasoning; unbounded claims"
        P1: "Partial steps; misses hidden assumptions"
        P2: "Clear steps; can justify most moves"
        P3: "Can formalise; can find counterexamples; bounded conclusions"
      Examinables:
        D: "Write a step-by-step justification for 3 problems."
        S: "Timed reasoning set with no step-skips."
        T: "Apply same inference pattern to a new context (policy/science)."
        V: "Assumptions list + counterexample search."
        C: "Teach-back: peer reproduces your argument."
      Threshold_Inequality:
        - "PASS: (D>=2) AND (V>=2) AND (counterexample attempt present)."
      FailureTrace:
        - "Step skipping → hidden assumption → wrong conclusion → cannot debug → repeated failure."
      RepairCorridor:
        Truncation: "Reduce to 1–2 problems/day, full justification only."
        Repair: "Assumption extraction + counterexample drills."
        Stitch: "Increase volume only after 3 consecutive justified solves."
      Retest:
        - "3 arguments + 1 counterexample attempt each."
      BadgeMapping:
        Bronze: "Explains steps with prompts"
        Silver: "Explains steps independently"
        Gold: "Finds counterexamples; revises"
        Platinum: "Writes bounded conclusions automatically"
    # =====================================================
    # 2) WRITING & BOUNDED CONCLUSIONS CORE
    # =====================================================
    - ModuleID: CORE.Writing.020
      Meta:
        ID: eduKateSG.IC.CoreModule.WritingBoundedConclusions.v1.0
        Title: "Writing: Bounded Conclusions Under Uncertainty"
      ClassicalFoundation:
        - "Writing is communication of ideas with structure and evidence."
      CivGradeDefinition:
        - "Bounded writing prevents false authority: it ties claims to evidence, assumptions, and limits."
      P0_P3_Map:
        P0: "Overclaims; vague; no evidence"
        P1: "Some structure; weak boundaries"
        P2: "Clear structure; states limits"
        P3: "Precise claims + uncertainty + alternatives + action rules"
      Examinables:
        D: "Write a 1-page explanation with claim→evidence→limits."
        S: "Timed writing: coherent in 30–45 min."
        T: "Rewrite for a different audience without changing truth."
        V: "Include assumptions + 3 checks + 1 counterargument."
        C: "Peer reads and can reproduce steps/decision."
      Threshold_Inequality:
        - "FAIL if unbounded claims present."
        - "PASS requires 'Limits' section + 'Assumptions' section."
      FailureTrace:
        - "No limits → reader overtrusts → wrong decision → blame/identity collapse."
      RepairCorridor:
        Truncation: "Reduce to 150–300 word briefs."
        Repair: "Add explicit limits + uncertainty statement + action rule."
        Stitch: "Scale to 1000–2500 word reports."
      Retest:
        - "3 briefs + 1 longer report; all must include boundaries."
      BadgeMapping:
        Bronze: "Structure exists"
        Silver: "Boundaries exist"
        Gold: "Alternate view included"
        Platinum: "Decision rules + rollback triggers"
    # =====================================================
    # 3) STATISTICS & UNCERTAINTY CORE
    # =====================================================
    - ModuleID: CORE.Stats.030
      Meta:
        ID: eduKateSG.IC.CoreModule.StatsUncertainty.v1.0
        Title: "Statistics: Uncertainty, Variation, and Decision Under Noise"
      ClassicalFoundation:
        - "Statistics studies data, variation, inference, and uncertainty."
      CivGradeDefinition:
        - "Stats is civilisation-grade noise handling: prevents overfitting and false certainty."
      P0_P3_Map:
        P0: "Treats single data point as truth"
        P1: "Knows averages; ignores spread"
        P2: "Uses distributions; basic inference"
        P3: "Understands bias, overfitting, sensitivity, and robustness"
      Examinables:
        D: "Explain mean/variance + what they mean in plain language."
        S: "Timed interpretation of charts/tables."
        T: "Apply stats reasoning to non-math domain (health/ops)."
        V: "Identify bias + do sensitivity check (>=2 parameters)."
        C: "Present results to team with bounded conclusion."
      Threshold_Inequality:
        - "PASS requires at least 1 bias check + 1 sensitivity check."
      FailureTrace:
        - "No uncertainty model → wrong confidence → wrong action → cascade under stress."
      RepairCorridor:
        Truncation: "Stop inference; return to describing data + spread."
        Repair: "Bias list + sensitivity drills."
        Stitch: "Reintroduce inference slowly."
      Retest:
        - "2 datasets: describe spread + bias + sensitivity; then bounded conclusion."
      BadgeMapping:
        Bronze: "Understands average/spread"
        Silver: "Uses distributions"
        Gold: "Bias + robustness"
        Platinum: "Generalisation discipline (holdout mindset)"
    # =====================================================
    # 4) MATHEMATICAL STRUCTURE CORE (algebra → functions)
    # =====================================================
    - ModuleID: CORE.Math.040
      Meta:
        ID: eduKateSG.IC.CoreModule.MathStructure.v1.0
        Title: "Mathematics Core: Algebra → Functions → Modelling"
      ClassicalFoundation:
        - "Mathematics formalises patterns and relationships."
      CivGradeDefinition:
        - "Math is the structure language that increases choice and builds stable corridors across lanes."
      P0_P3_Map:
        P0: "Procedures only; brittle"
        P1: "Some understanding; collapses under variation"
        P2: "Flexible; can model simple systems"
        P3: "Chooses methods; explains why; transfers across contexts"
      Examinables:
        D: "Explain one method + why it works (with example)."
        S: "Timed mixed set under variation."
        T: "Apply same structure in a new context (physics/finance)."
        V: "Check solution with alternate method or edge case."
        C: "Teach-back: peer solves using your explanation."
      Threshold_Inequality:
        - "PASS requires: D>=2 AND (V includes alternate check)."
      FailureTrace:
        - "Only memorised steps → changed question form → wrong method → panic → avoidance."
      RepairCorridor:
        Truncation: "Reduce topics; rebuild one ladder (e.g., quadratics)."
        Repair: "Variation drills + explain-why."
        Stitch: "Reintroduce speed once transfer passes."
      Retest:
        - "Unseen variants pack (>=10) + 1 explain-why write-up."
      BadgeMapping:
        Bronze: "Solves standard forms"
        Silver: "Handles variants"
        Gold: "Transfers to new domains"
        Platinum: "Selects method under constraints"
    # =====================================================
    # 5) TRANSFER STUDIO CORE (invariants across contexts)
    # =====================================================
    - ModuleID: CORE.Transfer.050
      Meta:
        ID: eduKateSG.IC.CoreModule.TransferStudio.v1.0
        Title: "Transfer: Invariants, Mapping, and New-Context Performance"
      ClassicalFoundation:
        - "Transfer is applying knowledge to new problems."
      CivGradeDefinition:
        - "Transfer is the civilisation multiplier: it prevents silo brittleness."
      P0_P3_Map:
        P0: "Works only in memorised format"
        P1: "Sometimes transfers; fragile"
        P2: "Transfers with templates"
        P3: "Transfers automatically; builds mappings"
      Examinables:
        D: "State the invariant (what stays the same)."
        S: "Solve under constraint without help."
        T: "Solve 2 unseen contexts."
        V: "Explain why mapping is valid + edge case."
        C: "Team mapping: align on same invariant."
      Threshold_Inequality:
        - "PASS requires 2 unseen contexts solved + invariant stated."
      FailureTrace:
        - "Silo skill → new context fails → identity threat → collapse."
      RepairCorridor:
        Truncation: "Stop new depth; do bridge tasks only."
        Repair: "Mapping template drills (concept→domainA→domainB)."
        Stitch: "Return to depth after 6/8 bridge tasks pass."
      Retest:
        - "8 bridge tasks, must pass >=6."
      BadgeMapping:
        Bronze: "Transfers with help"
        Silver: "Transfers using template"
        Gold: "Transfers without template"
        Platinum: "Creates new mapping templates"
    # =====================================================
    # 6) STABILITY UNDER LOAD CORE (timed + stress)
    # =====================================================
    - ModuleID: CORE.Stability.060
      Meta:
        ID: eduKateSG.IC.CoreModule.StabilityUnderLoad.v1.0
        Title: "Stability: Timed Performance + Stress Recovery Protocols"
      ClassicalFoundation:
        - "Stability is consistent performance under constraints."
      CivGradeDefinition:
        - "Stability prevents collapse when the world changes speed and pressure."
      P0_P3_Map:
        P0: "Panic/avoidance"
        P1: "Inconsistent; collapses under time"
        P2: "Stable under moderate time"
        P3: "Stable under high variation; recovers quickly"
      Examinables:
        D: "Explain your stability plan (pacing + recovery)."
        S: "Timed stability index test."
        T: "Perform same skill under changed constraint."
        V: "Keep verification during timed work."
        C: "Coordinate pacing with teammate."
      Threshold_Inequality:
        - "PASS: StabilityIndex >= 0.78 (age 13–16), >=0.83 (17+)."
      FailureTrace:
        - "Time pressure → error cascade → panic → avoidance → missed learning."
      RepairCorridor:
        Truncation: "Micro-timed sets only (5–8 min)."
        Repair: "Error cluster fix + pacing drills."
        Stitch: "Increase time gradually; keep logs."
      Retest:
        - "2 stability index passes in 2 weeks."
      BadgeMapping:
        Bronze: "Completes timed sets"
        Silver: "Stable trend"
        Gold: "Stable under variation"
        Platinum: "Stable under crisis drills"
    # =====================================================
    # 7) COORDINATION & INTERFACES CORE (team + runbooks)
    # =====================================================
    - ModuleID: CORE.Coordination.070
      Meta:
        ID: eduKateSG.IC.CoreModule.CoordinationInterfaces.v1.0
        Title: "Coordination: Interfaces, Runbooks, and Teach-Back"
      ClassicalFoundation:
        - "Coordination is aligning actions among people to achieve outcomes."
      CivGradeDefinition:
        - "Coordination is civilisation throughput: without interfaces, even strong individuals fail at scale."
      P0_P3_Map:
        P0: "Solo work; breaks teams"
        P1: "Communicates but unclear roles"
        P2: "Role clarity; basic handoffs"
        P3: "Writes interfaces; prevents cascade; leads postmortems"
      Examinables:
        D: "Write an interface contract (inputs/outputs/owner/time)."
        S: "Run a drill under time pressure."
        T: "Handoff to different teammate/context."
        V: "Audit checklist applied to handoff."
        C: "Teach-back: peer reproduces SOP."
      Threshold_Inequality:
        - "FAIL if peer cannot reproduce SOP."
      FailureTrace:
        - "No interface → miscoordination → rework → stress → collapse."
      RepairCorridor:
        Truncation: "Reduce scope; write runbook first."
        Repair: "Interface contract + teach-back iteration."
        Stitch: "Scale project after 2 successful reproductions."
      Retest:
        - "Two peers reproduce SOP independently."
      BadgeMapping:
        Bronze: "Basic role clarity"
        Silver: "Handoffs work"
        Gold: "Leads drills"
        Platinum: "Runs crisis interfaces"
    # =====================================================
    # 8) ETHICS & SAFETY CORE (rollback discipline)
    # =====================================================
    - ModuleID: CORE.EthicsSafety.080
      Meta:
        ID: eduKateSG.IC.CoreModule.EthicsSafetyRollback.v1.0
        Title: "Ethics & Safety: Constraints, Trade-offs, Rollback"
      ClassicalFoundation:
        - "Ethics considers right action; safety reduces harm risk."
      CivGradeDefinition:
        - "Ethics+Safety is the guardrail that makes innovation survivable (pilot+rollback)."
      P0_P3_Map:
        P0: "Ignores harm; reckless"
        P1: "Cares but not systematic"
        P2: "States constraints; basic trade-offs"
        P3: "Has rollback triggers; audits impact; bounded deployment"
      Examinables:
        D: "Write constraints + trade-offs."
        S: "Decide under time with safety preserved."
        T: "Apply ethics to a new domain."
        V: "Define rollback triggers + monitoring signals."
        C: "Brief team; ensure alignment."
      Threshold_Inequality:
        - "FAIL if no rollback triggers for pilots."
      FailureTrace:
        - "Pilot without rollback → harm event → trust collapse → system shutdown."
      RepairCorridor:
        Truncation: "Stop pilots."
        Repair: "Write constraints + rollback plan + monitoring."
        Stitch: "Restart pilot bounded; oracle sign-off."
      Retest:
        - "Submit rollback plan for 2 scenarios; must pass audit."
      BadgeMapping:
        Bronze: "Understands constraints"
        Silver: "Writes trade-offs"
        Gold: "Writes rollback triggers"
        Platinum: "Runs safe pilots under audit"