NODE.ID: BTT-EDUOS-ADDMATH-A1-00
NODE.TYPE: place_implementation_intervention
PLACE.ID: SG-SGP-BUKITTIMAH
ORG.ID: BTT (BukitTimahTutor)
PARENT.OS: EDUOS
SUBOS: ADDMATHOS
IMPL: tuition_intervention_router
PURPOSE: route_students_to_P3_A1_reliability_in_additional_mathematics_under_exam_constraints
VERSION: v0.1

DEF.BTT_ADD_MATH_IMPL:
  BukitTimahTutor implements the Education OS AddMath intervention router by
  diagnosing failure modes, enforcing the A0 algebra integrity gate, and running
  repair+upgrade protocols to produce P3-stable modelling execution (A1 grade reliability)
  under Singapore upper-secondary exam conditions.

BIND.UP.1: EDUOS-00 (Education OS pillar)
BIND.UP.2: EDUOS-02 (Education as anti-decay)
BIND.UP.3: ADDMATHOS-00 (AddMath supply lane)
BIND.UP.4: EDUOS-ADDMATHOS-ROUTER-00 (AddMath router canonical)
BIND.SIDE.1: MATHOS-00 (A0 algebra integrity gate)
BIND.SIDE.2: LANGOS-00 (word/definition translation dependency)
BIND.SIDE.3: SCIOS-00  (downstream modelling dependency)
BIND.SIDE.4: EDUOSxBIOOS-01 (bio constraints: fatigue/stress/consolidation)
BIND.IMPL.1: EDUOS-IMPL-02 (tuition as intervention router)

TARGET.GRADE.A1 := P3 reliability under full-paper constraints
TARGET.PHASE := P3
TARGET.SENSORS:
  - algebra_leak_rate_under_pressure -> near_zero
  - structure_recognition_latency -> low
  - mixed_modelling_transfer_rate -> high
  - variance_across_papers -> low
  - checking_microcheck_frequency -> stable_under_time

A1 is a reliability state, not a topic coverage claim.

CLASSIFY.IN:
  - PHASE: P0|P1|P2|P3
  - FAIL: A1..A9 (from EDUOS-ADDMATHOS-ROUTER-00)
  - TIME: exam_date_distance (weeks)
  - LOAD: fatigue/stress proxy
  - PRIOR: current algebra integrity baseline

TRACK.ID: BTT-ADD-R0
ENTRY: P0 or severe avoidance
GOAL: re_entry + minimum viable chain execution
METHOD:
  - A0 integrity rebuild
  - confidence re-entry loops
  - low threat, high feedback
EXIT: P1 stable participation

TRACK.ID: BTT-ADD-R1
ENTRY: P1 or leaky P2
GOAL: seal leaks + raise transfer reliability
METHOD:
  - enforce A0 gate
  - structure recognition
  - transformation templates
  - mixed transfer ladders
EXIT: P2/P3 stability

TRACK.ID: BTT-ADD-R2
ENTRY: P3 but wants A1 consistency
GOAL: slip elimination + twist dominance + paper stability
METHOD:
  - timed mixed papers
  - microcheck survival under time
  - sinkhole escape protocol
EXIT: low variance A1 reliability

GATE.A0.ENFORCE:
  if algebra_leak_rate > threshold:
    - pause advanced topic pushing
    - run integrity firewall first
    - re-test under time pressure

- sign tracking
- term conservation check
- substitution sanity
- identity anchoring
- checkpoint protocol at high-risk steps

PROTO.BTT.ADD.1: integrity_firewall (A0)
PROTO.BTT.ADD.2: structure_cue_cards (fast classification)
PROTO.BTT.ADD.3: function_system_protocol (compose/inverse/domain-range)
PROTO.BTT.ADD.4: identity_template_library (logs/indices/trig)
PROTO.BTT.ADD.5: modelling_translation_protocol (vars/units/constraints)
PROTO.BTT.ADD.6: mixed_transfer_ladders (interleaving + variation)
PROTO.BTT.ADD.7: verification_microchecks (proof-like habits)
PROTO.BTT.ADD.8: timed_chain_endurance (full-paper stamina)
PROTO.BTT.ADD.9: spaced_retrieval_lock (BIOOS scheduling)
PROTO.BTT.ADD.10: panic_recovery_script (re-entry mid-paper)

SENSOR.SET:
  S1 algebra_leak_rate_under_pressure
  S2 structure_recognition_latency
  S3 transformation_accuracy
  S4 mixed_transfer_rate
  S5 microcheck_frequency_under_time
  S6 paper_variance
  S7 retention_7d_14d

IF S1 high -> route to A0 firewall
IF S4 low but S3 ok -> increase variation wrappers (transfer training)
IF S6 high -> paper routing + endurance blocks
IF S5 drops under time -> minimum viable checking protocol training

POSITIONING:
  - not "more practice"
  - not "chapter coverage"
  - "high-coupling reliability engineering for Add Math"
  - "A0 gate + structure recognition + transfer under exam time"
SEO-LANE:
  education_os_intervention_router
  modelling_reliability
  leak_sealing
  phase_stability

LINK.OUT.1: EDUOS-ADDMATHOS-ROUTER-00 (canonical router on eduKateSG)
LINK.OUT.2: ADDMATHOS-00 (supply lane definition)
LINK.OUT.3: MATHOS-00 (A0 gate)
LINK.OUT.4: EDUOSxBIOOS-01 (fatigue/stress)
LINK.OUT.5: EDUOS-IMPL-02 (tuition router spec)
LINK.OUT.6: BTT-EDUOS-MATHOS-SEC-00 (secondary math router impl, optional next)

LOCK:
  BukitTimahTutor implements AddMath success as reliability engineering:
  enforce the A0 algebra integrity gate, build structure recognition, train mixed
  modelling transfer, and lock P3 stability under full-paper time pressure to reach A1.