NODE.ID: BTT-EDUOS-MATHOS-SEC-A1-00
NODE.TYPE: place_implementation_intervention
PLACE.ID: SG-SGP-BUKITTIMAH
ORG.ID: BTT (BukitTimahTutor)
PARENT.OS: EDUOS
SUBOS: MATHOS
IMPL: tuition_intervention_router
LANE: secondary_mathematics
PURPOSE: route_students_to_P3_A1_reliability_in_secondary_mathematics_under_exam_constraints
VERSION: v0.1

DEF.BTT_SEC_MATH_IMPL:
  BukitTimahTutor implements the Education OS Secondary Mathematics intervention router
  by diagnosing phase + failure mode, repairing algebra/number leaks, stabilising execution
  under time pressure, and upgrading transfer to novel mixed-topic questions to produce
  P3-stable exam-grade performance (A1 reliability).

BIND.UP.1: EDUOS-00 (Education OS pillar)
BIND.UP.2: EDUOS-02 (Education as anti-decay)
BIND.UP.3: MATHOS-00 (MathOS supply lane)
BIND.UP.4: EDUOS-MATHOS-SEC-00 (Secondary Math router canonical)
BIND.UP.5: EDUOS-IMPL-02 (Tuition as intervention router)
BIND.SIDE.1: LANGOS-00 (word-problem translation dependency)
BIND.SIDE.2: EDUOSxBIOOS-01 (bio constraints: fatigue/stress/consolidation)

TARGET.GRADE.A1 := P3 reliability under full-paper constraints
TARGET.PHASE := P3
TARGET.SENSORS:
  - time_to_first_step -> low
  - repeated_error_rate -> low
  - multi_step_chain_integrity -> high
  - checking_rate_under_time -> stable
  - novel_transfer_rate -> high
  - variance_across_papers -> low

A1 is reliability + transfer, not mere syllabus exposure.

CLASSIFY.IN:
  - LEVEL: Sec1|Sec2|Sec3|Sec4
  - PHASE: P0|P1|P2|P3
  - FAIL: F1..F8 (from EDUOS-MATHOS-SEC-00 classifier)
  - TIME: exam_distance_weeks
  - LOAD: fatigue/stress proxy
  - PRIOR: algebra + number integrity baseline

TRACK.ID: BTT-SEC-R0
ENTRY: P0 or severe avoidance
GOAL: re_entry + minimum viable execution
METHOD:
  - basics hardening (fractions/negatives/indices entry)
  - algebra translation (letters->values)
  - short feedback loops + confidence restoration
EXIT: P1 stable participation

TRACK.ID: BTT-SEC-R1
ENTRY: P1 or leaky P2
GOAL: stabilise + seal leaks + speed under time
METHOD:
  - chain templates + sign firewalls
  - checking protocol always-on
  - representation alignment (table/graph/equation)
  - timed fluency loops
EXIT: P2/P3 stability

TRACK.ID: BTT-SEC-R2
ENTRY: P3 but wants A1 consistency
GOAL: slip elimination + twist dominance + paper stability
METHOD:
  - mixed-topic sets + novelty inoculation
  - paper routing + sinkhole escape
  - checking MVS survival under time
EXIT: low variance A1 reliability

FAIL.SECMATH:
  F1: algebra_symbol_confusion
  F2: procedure_chain_break
  F3: fluency_latency (slow recall)
  F4: transfer_failure (novel questions)
  F5: checking_absence (careless cascades)
  F6: representation_misalignment (graphs/relations)
  F7: word_problem_translation_gap (LANGOS)
  F8: bio_load_misalignment (fatigue/stress)

F1,F2 -> chain rebuild + templates
F3 -> retrieval + speed loops
F4 -> variation wrappers + interleaving (transfer training)
F5 -> checking protocol (always-on) + slip firewalls
F6 -> representation alignment drills
F7 -> language-to-math translation protocol (LANGOS bridge)
F8 -> load dosing + consolidation + safety loops (BIOOS bridge)

PROTO.BTT.SEC.1: basics_hardening (number integrity)
PROTO.BTT.SEC.2: chain_template_library (standard steps)
PROTO.BTT.SEC.3: sign_error_firewall (negatives/terms)
PROTO.BTT.SEC.4: representation_alignment (graph/table/equation)
PROTO.BTT.SEC.5: variable_definition_protocol (with units/referents)
PROTO.BTT.SEC.6: checking_protocol_MVS (fast high-yield checks)
PROTO.BTT.SEC.7: timed_fluency_loops (latency reduction)
PROTO.BTT.SEC.8: novelty_inoculation (same concept, new wrapper)
PROTO.BTT.SEC.9: mixed_set_endurance (full-paper stamina)
PROTO.BTT.SEC.10: spaced_retrieval_lock (BIOOS scheduling)
PROTO.BTT.SEC.11: panic_recovery_script (mid-paper re-entry)

SENSOR.SET:
  S1 time_to_first_step
  S2 repeated_error_rate
  S3 chain_integrity
  S4 checking_rate_under_time
  S5 novel_transfer_rate
  S6 paper_variance
  S7 retention_7d_14d

IF S1 high -> increase fluency loops + basics hardening
IF S2 high -> repeated error kill-switch + template enforcement
IF S3 low -> chain rebuild + micro-checkpoints
IF S4 collapses under time -> checking MVS training
IF S5 low -> variation wrappers + interleaved mixed sets
IF S6 high -> paper router + sinkhole escape + endurance blocks

CHILD.NODES:
  BTT-EDUOS-MATHOS-SEC1-A1-00
  BTT-EDUOS-MATHOS-SEC2-A1-00
  BTT-EDUOS-MATHOS-SEC3-A1-00
  BTT-EDUOS-MATHOS-SEC4-A1-00

each child node declares its dominant failure modes + protocols + sensor targets

POSITIONING:
  - not "more practice"
  - not "chapter coverage"
  - "reliability engineering for exam math"
  - "phase shift + leak sealing + transfer to novelty"
SEO-LANE:
  education_os_intervention_router
  reliability_under_load
  mixed_set_transfer
  slip_elimination

LINK.OUT.1: EDUOS-MATHOS-SEC-00 (canonical router on eduKateSG)
LINK.OUT.2: MATHOS-00 (supply lane definition)
LINK.OUT.3: EDUOSxBIOOS-01 (fatigue/stress)
LINK.OUT.4: LANGOS-00 (word-problem translation)
LINK.OUT.5: EDUOS-IMPL-02 (tuition router spec)
LINK.OUT.6: BTT-EDUOS-ADDMATH-A1-00 (Add Math implementation)

LOCK:
  BukitTimahTutor implements Secondary Mathematics success as reliability engineering:
  diagnose phase + failure mode, repair leaks, enforce checking, train mixed-set transfer,
  and lock P3 stability under full-paper time pressure to reach A1.