BukitTimahTutor Sec 1 Maths as EDUOS→MATHOS Router (Code-Only v0.1)
0) METADATA
NODE.ID: BTT-EDUOS-MATHOS-SEC1-A1-00NODE.TYPE: place_implementation_childPLACE.ID: SG-SGP-BUKITTIMAHORG.ID: BTTPARENT.NODE: BTT-EDUOS-MATHOS-SEC-A1-00LEVEL: secondary_1SUBOS: MATHOSPURPOSE: prevent_early_algebra_collapse_and_build_P3_symbol_execution_foundationsVERSION: v0.1
1) DEFINITION LOCK
DEF.BTT_SEC1_IMPL: Sec 1 is the algebra-entry transition. BTT implements a repair+stabilise+upgrade router that hardens number integrity, prevents symbol confusion, and installs checking and retrieval habits early so students do not drift into P0 collapse.
2) DOMINANT CAPABILITY TARGETS (SEC1)
TARGET.SEC1.T1: real_numbers_integrity (fractions, negatives, indices entry)TARGET.SEC1.T2: algebra_symbol_fluency (substitution, expressions)TARGET.SEC1.T3: equation_chain_template (multi-step linear)TARGET.SEC1.T4: ratio_rate_foundations (scaling readiness)TARGET.SEC1.T5: checking_habit_installation (careless firewall)TARGET.SEC1.T6: confidence_re-entry (avoidance suppression)
3) DOMINANT FAILURE MODES (SEC1)
FAIL.DOM.SEC1: F1: arithmetic_fragility (fractions/negatives) F2: letter_as_object_confusion F3: equals_sign_misread F4: step_order_errors (chain break) F5: careless_density (no checks) F7: word_problem_translation_gap (LANGOS) F8: bio_load_misalignment (fatigue/stress)
Routing emphasis:
SEC1 success = prevent F1–F4 early, or the whole secondary pipeline leaks later.
4) PHASE TRACK ROUTING (SEC1)
TRACK.SEC1.R0 (P0): - re-entry: basics + confidence - micro-wins + short loopsTRACK.SEC1.R1 (P1/P2): - stabilise: kill repeat errors - seal leaks: speed + checking + substitutionTRACK.SEC1.R2 (P3): - maintain: reduce slips + twist prep
5) PROTOCOL SET (SEC1 IMPLEMENTATION)
PROTO.SEC1.1: basics_hardening - fractions/negatives drills with error taggingPROTO.SEC1.2: symbol_meaning_protocol - x as value; substitution loops under timePROTO.SEC1.3: equation_chain_template - standard steps; no freestyle; checkpointsPROTO.SEC1.4: sign_firewall - negatives tracking; term conservationPROTO.SEC1.5: checking_protocol_install (MVS) - substitution check + reasonableness checkPROTO.SEC1.6: language_to_math_translation (LANGOS bridge) - define variable with unit + referent before solvingPROTO.SEC1.7: spaced_retrieval_lock (BIOOS bridge) - short recall cycles; prevent decay
6) SENSOR TARGETS (SEC1)
SENSOR.SEC1.S1: fraction_negative_error_rate -> lowSENSOR.SEC1.S2: substitution_accuracy_under_time -> highSENSOR.SEC1.S3: chain_integrity_step_loss_rate -> near_zeroSENSOR.SEC1.S4: checking_rate -> stableSENSOR.SEC1.S5: time_to_first_step -> lowSENSOR.SEC1.S6: retention_7d_14d -> stable
7) OUTPUTS (SEC1)
OUT.SEC1.1: stable algebra entry (P3 direction)OUT.SEC1.2: reduced careless densityOUT.SEC1.3: reliable equation chainsOUT.SEC1.4: improved confidence and engagement
8) LINKS
LINK.PARENT: BTT-EDUOS-MATHOS-SEC-A1-00LINK.SIBLING.NEXT: BTT-EDUOS-MATHOS-SEC2-A1-00LINK.UP: EDUOS-00, MATHOS-00, EDUOSxBIOOS-01, LANGOS-00, EDUOS-IMPL-02
9) LOCK
LOCK: Sec 1 is the algebra-entry gate. If symbols + real numbers + checking stabilize early, the entire secondary pipeline becomes easier. BTT routes to P3 by sealing leaks at the root.
BTT-EDUOS-MATHOS-SEC2-A1-00 — SECONDARY 2 IMPLEMENTATION NODE
BukitTimahTutor Sec 2 Maths as EDUOS→MATHOS Router (Code-Only v0.1)
0) METADATA
NODE.ID: BTT-EDUOS-MATHOS-SEC2-A1-00NODE.TYPE: place_implementation_childPLACE.ID: SG-SGP-BUKITTIMAHORG.ID: BTTPARENT.NODE: BTT-EDUOS-MATHOS-SEC-A1-00LEVEL: secondary_2SUBOS: MATHOSPURPOSE: seal_algebra_chain_leaks_and_stabilise_scaling_graphs_and_time_pressure_executionVERSION: v0.1
1) DEFINITION LOCK
DEF.BTT_SEC2_IMPL: Sec 2 is the chain-length + speed + representation-alignment year. BTT implements protocols that stop sign/term leaks, unify scaling models (ratio/rate/percent), and lock graph-equation alignment so students reach stable execution under pressure.
2) DOMINANT CAPABILITY TARGETS (SEC2)
TARGET.SEC2.T1: algebra_chain_integrity (longer manipulations)TARGET.SEC2.T2: scaling_unification (ratio/rate/percent as one model)TARGET.SEC2.T3: linear_graph_alignment (table<->graph<->equation)TARGET.SEC2.T4: word_problem_variable_definition (LANGOS)TARGET.SEC2.T5: checking_survival_under_time (MVS)TARGET.SEC2.T6: fluency_latency_reduction (speed)
3) DOMINANT FAILURE MODES (SEC2)
FAIL.DOM.SEC2: F2: chain_break F3: fluency_latency F4: transfer_failure F5: checking_absence F6: representation_misalignment F7: word_problem_translation_gap F8: bio_load_misalignment
4) PHASE TRACK ROUTING (SEC2)
TRACK.SEC2.R0 (P0): - rebuild basics + re-entry into multi-step problemsTRACK.SEC2.R1 (P1/P2): - stabilise: repeat-error kill switch - seal leaks: speed + checks + alignment drillsTRACK.SEC2.R2 (P3): - maintain: mixed sets + twist variants
5) PROTOCOL SET (SEC2 IMPLEMENTATION)
PROTO.SEC2.1: chain_template_library + checkpointsPROTO.SEC2.2: sign_error_firewall (negatives/term tracking)PROTO.SEC2.3: scaling_unification (ratio/rate/percent with units)PROTO.SEC2.4: representation_alignment (graph/table/equation loops)PROTO.SEC2.5: variable_definition_protocol (LANGOS bridge)PROTO.SEC2.6: checking_MVS_under_timePROTO.SEC2.7: timed_fluency_loopsPROTO.SEC2.8: spaced_retrieval_lock (BIOOS bridge)
6) SENSOR TARGETS (SEC2)
SENSOR.SEC2.S1: sign/term leak rate -> lowSENSOR.SEC2.S2: chain_integrity -> highSENSOR.SEC2.S3: scaling accuracy (units) -> highSENSOR.SEC2.S4: graph alignment accuracy -> highSENSOR.SEC2.S5: checking rate under time -> stableSENSOR.SEC2.S6: time_to_first_step -> lowSENSOR.SEC2.S7: variance -> lowSENSOR.SEC2.S8: retention_7d_14d -> stable
7) OUTPUTS (SEC2)
OUT.SEC2.1: stable multi-step executionOUT.SEC2.2: improved speed without losing accuracyOUT.SEC2.3: reliable graph and scaling reasoningOUT.SEC2.4: reduced swings across tests
8) LINKS
LINK.PARENT: BTT-EDUOS-MATHOS-SEC-A1-00LINK.SIBLING.PREV: BTT-EDUOS-MATHOS-SEC1-A1-00LINK.SIBLING.NEXT: BTT-EDUOS-MATHOS-SEC3-A1-00LINK.UP: EDUOS-00, MATHOS-00, EDUOSxBIOOS-01, LANGOS-00, EDUOS-IMPL-02
9) LOCK
LOCK: Sec 2 is where chain length + speed + alignment decide outcomes. Seal leaks, unify scaling, and make checking survive time pressure to reach P3.
BTT-EDUOS-MATHOS-SEC3-A1-00 — SECONDARY 3 IMPLEMENTATION NODE
BukitTimahTutor Sec 3 Maths as EDUOS→MATHOS Router (Code-Only v0.1)
0) METADATA
NODE.ID: BTT-EDUOS-MATHOS-SEC3-A1-00NODE.TYPE: place_implementation_childPLACE.ID: SG-SGP-BUKITTIMAHORG.ID: BTTPARENT.NODE: BTT-EDUOS-MATHOS-SEC-A1-00LEVEL: secondary_3SUBOS: MATHOSPURPOSE: build_mixed_topic_routing_novelty_transfer_and_exam_style_pacing_reliabilityVERSION: v0.1
1) DEFINITION LOCK
DEF.BTT_SEC3_IMPL: Sec 3 is the mixed-topic and novelty-transfer bottleneck. BTT implements fast question classification, method routing, and interleaved mixed-set training so students stop failing due to wrong method choice and panic under unfamiliar wrappers.
2) DOMINANT CAPABILITY TARGETS (SEC3)
TARGET.SEC3.T1: question_classification (identify what is tested)TARGET.SEC3.T2: method_selection_speedTARGET.SEC3.T3: novelty_resilience (same concept, new wrapper)TARGET.SEC3.T4: mixed_set_execution (interleaved topics)TARGET.SEC3.T5: time_budget_control + sinkhole escapesTARGET.SEC3.T6: checking_survival_under_pressure
3) DOMINANT FAILURE MODES (SEC3)
FAIL.DOM.SEC3: F4: transfer_failure (mixed sets) F3: fluency_latency (selection latency) F5: checking_absence under time F6: representation_misalignment F7: language/interpretation issues (LANGOS) F8: bio_load_misalignment
4) PHASE TRACK ROUTING (SEC3)
TRACK.SEC3.R0 (P0): - re-entry into mixed sets; remove avoidanceTRACK.SEC3.R1 (P1/P2): - stabilise via classifier templates - upgrade novelty transfer via variationTRACK.SEC3.R2 (P3): - maintain + twist dominance + paper stamina
5) PROTOCOL SET (SEC3 IMPLEMENTATION)
PROTO.SEC3.1: question_classifier + cue cardsPROTO.SEC3.2: method_router_cards (if cues -> method)PROTO.SEC3.3: interleaved_mixed_sets (transfer training)PROTO.SEC3.4: novelty_inoculation (format variation)PROTO.SEC3.5: paper_time_budget + sinkhole_escapePROTO.SEC3.6: chain_integrity_microcheckpointsPROTO.SEC3.7: checking_MVS_under_timePROTO.SEC3.8: spaced_retrieval_lock (BIOOS bridge)
6) SENSOR TARGETS (SEC3)
SENSOR.SEC3.S1: misclassification_rate -> lowSENSOR.SEC3.S2: method_selection_latency -> lowSENSOR.SEC3.S3: novelty_transfer_rate -> highSENSOR.SEC3.S4: mixed_set_variance -> lowSENSOR.SEC3.S5: sinkhole_count -> lowSENSOR.SEC3.S6: checking_rate_under_time -> stableSENSOR.SEC3.S7: retention_14d_30d -> stable
7) OUTPUTS (SEC3)
OUT.SEC3.1: reliable method selectionOUT.SEC3.2: stable mixed-topic scoresOUT.SEC3.3: resilience to unfamiliar question wrappersOUT.SEC3.4: improved pacing and reduced panic
8) LINKS
LINK.PARENT: BTT-EDUOS-MATHOS-SEC-A1-00LINK.SIBLING.PREV: BTT-EDUOS-MATHOS-SEC2-A1-00LINK.SIBLING.NEXT: BTT-EDUOS-MATHOS-SEC4-A1-00LINK.UP: EDUOS-00, MATHOS-00, EDUOSxBIOOS-01, LANGOS-00, EDUOS-IMPL-02
9) LOCK
LOCK: Sec 3 is the routing problem: identify -> choose method -> execute under novelty. Interleaving + classifier templates + pacing control drives P3 stability.
BTT-EDUOS-MATHOS-SEC4-A1-00 — SECONDARY 4 IMPLEMENTATION NODE
BukitTimahTutor Sec 4 Maths as EDUOS→MATHOS Router (Code-Only v0.1)
0) METADATA
NODE.ID: BTT-EDUOS-MATHOS-SEC4-A1-00NODE.TYPE: place_implementation_childPLACE.ID: SG-SGP-BUKITTIMAHORG.ID: BTTPARENT.NODE: BTT-EDUOS-MATHOS-SEC-A1-00LEVEL: secondary_4SUBOS: MATHOSPURPOSE: lock_full_paper_execution_stability_slip_elimination_and_exam_grade_consistencyVERSION: v0.1
1) DEFINITION LOCK
DEF.BTT_SEC4_IMPL: Sec 4 is execution consolidation. BTT implements full-paper routing, sinkhole escapes, minimum viable checking, and slip firewalls so students protect marks and sustain low-variance performance to reach A1-grade reliability (P3 under exam constraints).
2) DOMINANT CAPABILITY TARGETS (SEC4)
TARGET.SEC4.T1: full_paper_router (scan->order->time budget)TARGET.SEC4.T2: slip_elimination (avoidables to near zero)TARGET.SEC4.T3: checking_MVS_survival (under time)TARGET.SEC4.T4: twist_class_library (novel wrappers)TARGET.SEC4.T5: endurance_accuracy (late-paper stability)TARGET.SEC4.T6: calm_recovery_protocol (panic reset)
3) DOMINANT FAILURE MODES (SEC4)
FAIL.DOM.SEC4: F3: time_pressure_collapse (pacing) F5: checking_absence under time F4: transfer_failure to twists F8: bio_load_misalignment (endurance/stress)
4) PHASE TRACK ROUTING (SEC4)
TRACK.SEC4.R0 (P0): - re-entry: complete papers safely; stop avoidanceTRACK.SEC4.R1 (P1/P2): - stabilise: reduce variance; eliminate repeated slips - seal leaks: time + checks + twistsTRACK.SEC4.R2 (P3): - maintain: A1 consistency, low slip, twist dominance
5) PROTOCOL SET (SEC4 IMPLEMENTATION)
PROTO.SEC4.1: paper_router_protocol (scan/order/budget)PROTO.SEC4.2: sinkhole_escape_protocol (stuck -> mark -> move -> return)PROTO.SEC4.3: slip_firewalls (sign/copy/unit/boundary checks)PROTO.SEC4.4: checking_MVS_under_time (fast checks)PROTO.SEC4.5: twist_class_library + drills (transfer)PROTO.SEC4.6: endurance_blocks (long-form accuracy)PROTO.SEC4.7: calm_recovery_script (BIOOS bridge)PROTO.SEC4.8: spaced_retrieval_lock_to_exam (consolidation)
6) SENSOR TARGETS (SEC4)
SENSOR.SEC4.S1: completion_rate -> highSENSOR.SEC4.S2: pacing_accuracy -> highSENSOR.SEC4.S3: sinkhole_count -> lowSENSOR.SEC4.S4: slip_density -> near_zeroSENSOR.SEC4.S5: checking_rate_under_time -> stableSENSOR.SEC4.S6: twist_transfer_rate -> highSENSOR.SEC4.S7: late_paper_accuracy_drop -> lowSENSOR.SEC4.S8: variance_across_papers -> lowSENSOR.SEC4.S9: retention_to_exam -> stable
7) OUTPUTS (SEC4)
OUT.SEC4.1: stable full-paper exam performanceOUT.SEC4.2: protected marks via slip eliminationOUT.SEC4.3: resilience to twist questionsOUT.SEC4.4: confident pacing + recovery behavior
8) LINKS
LINK.PARENT: BTT-EDUOS-MATHOS-SEC-A1-00LINK.SIBLING.PREV: BTT-EDUOS-MATHOS-SEC3-A1-00LINK.UP: EDUOS-00, MATHOS-00, EDUOSxBIOOS-01, LANGOS-00, EDUOS-IMPL-02LINK.CROSS: BTT-EDUOS-ADDMATH-A1-00 (AddMath specialization routing)
9) LOCK
LOCK: Sec 4 is execution stability. Paper routing + sinkhole escapes + slip firewalls + checking survival under time locks P3 reliability and produces A1 consistency.
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- https://bukittimahtutor.com/z0-math-algebra-reliability/
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- https://bukittimahtutor.com/understanding-inversion-test-z0/
- https://bukittimahtutor.com/phase-z0-student-skill-reliability-p0-p3/
BukitTimahTutor Lattice Graph Block
Z0 Execution:
BTT.MAT.Z0.P.ALG.001
BTT.MAT.Z0.P.DIF.001
BTT.SEN.Z0.S.TTC.001
BTT.MAT.Z0.S.ERR.001
Z1 Support Loops:
BTT.PAR.Z1.P.HOM.001
BTT.TUI.Z1.P.SCF.001
BTT.SEN.Z1.S.DEP.001
BTT.SEN.Z1.S.FCG.001
Z2 Exam/Transition:
BTT.EXM.Z2.P.SEC.001
BTT.EDU.Z2.P.TRN.001
BTT.EXM.Z2.B.OLEV.001
Z3 Interfaces:
SG.EDU.Z3.B.SYL.001
SG.EDU.Z3.B.EXM.001
SG.EDU.Z3.B.PLC.001
Edges:
BTT.TUI.Z1.P.SCF.001 BindsTo BTT.MAT.Z0.P.ALG.001
BTT.MAT.Z0.P.ALG.001 BindsTo BTT.EXM.Z2.P.SEC.001
BTT.EDU.Z2.P.TRN.001 Impacts BTT.EXM.Z2.B.OLEV.001
BTT.SEN.Z1.S.DEP.001 Impacts BTT.EXM.Z2.P.SEC.001
BTT.SEN.Z0.S.TTC.001 Observes BTT.EXM.Z2.P.SEC.001