Canonical Upgrade Notes

New features used:

AVOO roles: Architect → Visionary → Oracle → Operator
WarOS conflict lens (applied to education): “conflict” = deadline lock + irreversible cost + option death (not violence)
CivOS-HD: lanes (NL/SL), derivatives (d²S/dt²), topology (OffRamps/Chokes), Fence (Truncate/Stitch)

Version: Unified-CivOS Canonical v2.0 compatible
Module: CivOS-HD vNext+HD
Place: SGP×BUKIT_TIMAH

Bukit Timah OS (PlaceOS) v1.0

(Almost-Code · CivOS-HD · AVOO · WarOS-Conflict Lens)
Site: BukitTimahTutor.com
Version: Unified-CivOS Canonical v2.0 compatible
Module Dependencies: CivOS-HD vNext+HD · Counter-Signal Atlas v0.1 · Negative Void Atlas v1.0

Bukit Timah OS (SGP×BUKIT_TIMAH) — PlaceOS Directory v1.0

0) CivOS-HD Front-Matter (Ultra-Compact)

State: P∈{P0..P3}, Z∈{Z0..Z6}, G(t), D(t), R=D/G, Ω_real, S(NL↔SL), TTC, PS_fast/PS_confirmed
HD: dG/dt, dD/dt, dΩ/dt, dS/dt, d²S/dt², ΔCoupling/Δt
NIT: (Ω_real<Ω_crit) AND (IrreversibleCost=true) Lanes: NL=claims/status stories; SL=time/budget/staffing/routing/feedback loops Fence: if TTC1 for τ → Truncate() then Stitch()

1) Canonical Definition

Bukit Timah OS is a Z4 district-level coordination lattice that routes family time, school requirements, and tuition interventions into stable learning throughput. It is “education gravity” at district scale: the local system is stable only if regeneration of capability (G) stays above decay (D) and option space (Ω_real) remains above irreversibility thresholds under exam deadlines.

2) Place Identity and Scope

			
SPEC PlaceOS.BUKIT_TIMAH.v1.0
PlaceID: SGP×BUKIT_TIMAH
ZoomDefault: Z4
BindsTo: Z0(Family), Z1(Class), Z2(School), Z3(Industry), Z5(Singapore)
CoreLaw:
  Stability ↔ (G>D) AND (Ω_real>Ω_crit)

		

3) Lanes (What “counts”)

3.1 Narrative Lane (NL) — Cheap signals (often noisy)

“Top school district”
“A1/A2 culture”
“Math genius”
“More tuition hours = better”
“More papers = improvement”

3.2 Substrate Lane (SL) — Expensive signals (real physics)

weekly time allocation (practice vs tuition vs rest)
diagnostic frequency + feedback latency
tutor bandwidth + routing quality
family scheduling stability (sleep/meals/commute)
assessment cadence + syllabus sequencing
error correction loops + spaced review loops

Energy Filter rule:
If NL↑ but SL unchanged → Noise.
If SL changes (diagnostics/feedback/time routing) → Mass.

4) AVOO Role Stack (Local Runtime)

			
ROLES.AVOO.BUKIT_TIMAH.v1.0
Architect(A): designs corridor permutations (topic order, time routing, review topology)
Visionary(V): expands Ω_real via new methods ONLY when buffers stable
Oracle(O): instruments sensors, forecasts TTC, detects derivative spikes
Operator(Op): executes drills, repair loops, truncation+stitching

		

5) WarOS Conflict Lens (Education-as-Conflict)

Conflict in Bukit Timah OS is not violence.
It is deadline lock + irreversible cost + option death.

			
WAROS_CONFLICT.EDU.v1.0
DeadlineLock := {WA/EOY, streaming gates, PSLE, N/O-level timelines}
ConflictTrigger :=
  DeadlineLock=true AND (dΩ/dt < 0) AND (d²S/dt² spike OR R>1 OR TTC short)
Interpretation:
  System enters “conflict corridor” when return becomes expensive and options close.

		

6) Topology (Off-Ramps, Choke Points, Redundancy)

6.1 Choke Points (thin binds that collapse many paths)

weak foundations (fractions, algebra manipulation)
low feedback rate (errors persist for weeks)
topic spread too wide (no mastery)
time chaos (sleep debt, schedule collapse)
tutor mismatch (wrong protocol for the leak)

6.2 Off-Ramps (recovery corridors preserving Ω_real)

Diagnostic reset corridor (rebuild map, stop guessing)
Micro-foundations rebuild (2–4 weeks)
Exam-stability corridor (score floor, reduce panic)
Schedule re-routing corridor (time buffers restored)

6.3 Redundancy (multiple routes)

alternate representations (diagram/table/algebra)
multiple solution paths
spaced retrieval loops (Day1/Day3/Day7)
mixed-topic transfer training (prevents brittle performance)

7) PlaceOS Sensors (Z4)

			
SENSORS.PlaceOS.BUKIT_TIMAH.v1.0
S1: TR_math (transfer under time + mixed topics + novel context)
S2: FeedbackLatency (days from error → correction)
S3: ScheduleStability (sleep+practice consistency)
S4: Shear S := distance(GradesClaims, TR_math)
S5: OptionSpace Ω := viable corridor count (streams/confidence/subject choices)
S6: TTC_exam := time to next lock (WA/EOY/PSLE/N/O-level)
S7: CouplingCount := # lanes moving together (school+home+tuition+health)

		

8) FenceOS at Place Level

			
FENCE.PlaceOS.BUKIT_TIMAH.v1.0
Trigger:
  if TTC_exam < TTC_min OR R>1 for τ OR d²S/dt² spike:
      Truncate()
      Stitch()
Truncate():
  - freeze topic expansion
  - narrow to top-3 choke points
  - increase feedback cadence immediately
  - restore sleep/time buffers
Stitch():
  - rebuild prerequisite binds
  - install spaced retrieval topology
  - rebuild transfer reliability under load
  - reopen corridors (Ω_real)

		

9) PlaceOS Directory Records (Machine-Readable)

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×EDU×Z4×O×Sensor×TR_Math×v1.0
Type: Sensor
Lane: EDU×MATH
Zoom: Z4
Role: Oracle
Definition: Measures transfer reliability under load (time + mixed topics + new context).
Outputs: TR_math, PS_fast contribution, TTC contribution
BindsTo: SGP×BUKIT_TIMAH×EDU×Z4×Op×Protocol×Truncate_Stitch_Math×v1.0
Evidence: timed mixed-topic tests (expensive signal)
RECORD v1.0
ID: SGP×BUKIT_TIMAH×EDU×Z4×Op×Protocol×Truncate_Stitch_Math×v1.0
Type: Protocol
Lane: EDU×MATH
Zoom: Z4
Role: Operator
Definition: Executes truncation and stitching to prevent option death near deadlines.
Inputs: TR_math, ErrorSignature, TTC_exam
Outputs: stabilized score floor + rebuilt binds + restored Ω_real
Evidence: improved TR across 3 contexts

		

10) LLM Runner (PlaceOS)

			
RUNNER.PlaceOS.BUKIT_TIMAH.v1.0
Input: student level, recent scores, next assessment date, weekly time, topic list.
1) Compute TTC_exam + DeadlineLock.
2) Propose TR_math mini-test (mixed topics).
3) Output: S, dS/dt risk, Ω status, R qualitative.
4) If conflict trigger: propose Truncate (48–72h) + Stitch plan (2–6 weeks).
Return: Operator Report + Protocol calls + schedule.

		

11) Verdict Sentence

Bukit Timah OS is stable when time, feedback, and prerequisite binds are routed so capability compounds faster than it decays—especially under deadline locks that would otherwise kill options.

✅ ARTICLE 2 — Bukit Timah Tuition OS v1.0

(Almost-Code · Repair Router + Buffer Injector · AVOO · Conflict Lens)

Bukit Timah Tuition OS — TuitionOS Directory v1.0

0) Canonical Definition

TuitionOS is the Z0→Z2 repair router that converts household load into transfer-reliable output under exam constraints. Its function is FenceOS for education: prevent option death (Ω_real collapse) during deadline locks by raising G and lowering D via diagnostic-driven protocols.

1) Spec Header

			
SPEC TuitionOS.BUKIT_TIMAH.v1.0
PlaceID: SGP×BUKIT_TIMAH
Zoom: Z0/Z1/Z2 impact; contributes to Z5 cohort quality
CoreLaw: G>D AND Ω_real>Ω_crit

2) Lanes (Noise vs Mass)

NL (noise patterns)

“More tuition hours”
“More papers”
“More tuition centers”
“Chase advanced topics”

SL (mass patterns)

diagnostic cycles + feedback frequency
topic routing + prerequisite graph repair
spaced retrieval plan installed
transfer training under load (timed mixed-topic)
buffer injection (time, confidence, tutor bandwidth)

3) AVOO Roles in TuitionOS

			
AVOO.TuitionOS.v1.0
Architect(A): produces corridor design = TopicOrder×DrillMix×TimeBudget×ReviewTopology
Visionary(V): introduces new strategies only when stable (avoid crisis novelty)
Oracle(O): monitors TR, S, Ω, TTC; sets thresholds; detects derivative spikes
Operator(Op): executes protocols; runs truncation+stitching; promotes P3 routines

		

4) Core Sensors (TuitionOS)

			
SENSORS.TuitionOS.v1.0
TR_math: correctness under time + mixed topics + novel context
ErrorSignature: {concept, method, careless, language, time}
FeedbackLatency: time from error → corrected bind
Ω_student: corridor count (confidence, grade band, stream options)
TTC_exam: time to WA/EOY/PSLE/N/O-level
Shear S: distance(GradeClaim, TR_math reality)
R=D/G: decay vs mastery growth proxy

		

5) Conflict Mode (WarOS lens)

			
CONFLICTMODE.TuitionOS.v1.0
DeadlineLock := TTC_exam short OR streaming gate imminent
ConflictTrigger := DeadlineLock AND (dΩ/dt<0) AND (d²S/dt² spike OR R>1)
If ConflictTrigger:
  Objective := Preserve Ω_real (prevent option death)
  Freeze := syllabus expansion
  Prioritize := high-yield binds + score floor
  Cycle := 48–72h repair loops

		

6) Fence Protocols (Truncate + Stitch)

			
PROTOCOL.Truncate.TuitionOS.v1.0
Stop:
  - paper spam without diagnosis
  - step memorization without concept binds
  - advancing topics while foundations leak
Do:
  - narrow to top-3 choke points
  - increase feedback cadence (daily micro-checks)
  - restore buffers (sleep/time)
PROTOCOL.Stitch.TuitionOS.v1.0
Do:
  - BindRepair (prereq chain rebuild)
  - SpacedRetrieval (Day1/Day3/Day7)
  - TransferTraining (mixed topics, new context)
  - StressStability (timed sets, controlled load)
Promote:
  - promote when TR≥target across 3 contexts + stable error signature

		

7) Records (Machine-Readable)

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×TUITION×Z0×A×Protocol×CorridorDesign×v1.0
Type: Protocol
Role: Architect
Definition: Generates topic routing plan and review topology from diagnostics.
Inputs: ErrorSignature, TR_math, TTC_exam, time_per_week
Outputs: TopicOrder, DrillMix, ReviewSchedule, BufferPlan
RECORD v1.0
ID: SGP×BUKIT_TIMAH×TUITION×Z0×O×Sensor×ShearMonitor×v1.0
Type: Sensor
Role: Oracle
Definition: Tracks mismatch between grades and transfer reliability.
Trigger: if d²S/dt² spike => ConflictMode

		

8) Verdict Sentence

TuitionOS works when it changes substrate—diagnostics, feedback, routing, buffers—so transfer reliability rises faster than errors can compound, especially under deadline locks.

✅ ARTICLE 3 — Secondary 1–4 Mathematics Tuition OS v1.0

(Almost-Code · HD · Conflict Mode · AVOO · Protocol Library)

Secondary 1–4 Mathematics Tuition OS — Bukit Timah (SGP×BUKIT_TIMAH) v1.0

0) Canonical Definition

Secondary Math Tuition is an option-space preservation engine: it prevents Sec 1–4 learners from drifting into irreversible grade corridors (NIT) by rebuilding prerequisite binds and producing exam-stable transfer reliability under time and mixed topics.

1) Spec Header

			
SPEC MathTuitionOS.SEC1-4.BUKIT_TIMAH.v1.0
PlaceID: SGP×BUKIT_TIMAH
Lane: EDU×MATH
Zoom: Z0 student (primary), binds to Z2 school, impacts Z5 cohort
CoreLaw: G>D AND Ω_real>Ω_crit

		

2) Node Graph (Topics as Nodes, Prereqs as Binds)

			
GRAPH.SEC_MATH.v1.0
Nodes:
  N_Number
  N_FractionsRatioRate
  N_AlgebraManipulation
  N_LinearEquationsInequalities
  N_GeometryAngles
  N_SimilarityCongruence
  N_Mensuration
  N_StatisticsProbability
  N_CoordinateGeometry
  N_Trigonometry (upper sec)
  N_FunctionsGraphs (upper sec)
  N_WordProblemModeling (cross-cutting)
Binds (examples):
  Bind(N_FractionsRatioRate -> N_AlgebraManipulation)
  Bind(N_AlgebraManipulation -> N_LinearEquationsInequalities)
  Bind(N_GeometryAngles -> N_SimilarityCongruence)
  Bind(N_AlgebraManipulation -> N_FunctionsGraphs)
  Bind(N_WordProblemModeling -> ALL)

		

3) Core Metrics (HD)

			
METRICS.SEC_MATH.v1.0
TR_math := P(correct | time_limit, mixed_topics, novel_context)
ErrorSignature := vector{concept, method, careless, language, time}
FeedbackLatency := days(error -> corrected bind)
Load := time pressure + interference + stress
Ω_student := corridor count (confidence, grade band, subject options)
S_shear := distance(ReportedGrade, TR_math)
TTC_exam := time to WA/EOY/N/O-level
R := D/G  where:
  D ~ error accumulation + forgetting + avoidance
  G ~ mastery compounding + retrieval speed + transfer success
Derivatives:
  dTR/dt, dError/dt, dS/dt, d²S/dt², dΩ/dt

		

4) WarOS Conflict Mode for Secondary Math

			
CONFLICTMODE.SEC_MATH.v1.0
DeadlineLock := (TTC_exam <= TTC_min) OR (streaming gate imminent)
ConflictTrigger :=
  DeadlineLock AND (dΩ/dt < 0) AND (d²S/dt² spike OR R>1)
If ConflictTrigger:
  Objective := Preserve Ω_student (prevent option death)
  Freeze := topic expansion
  Focus := top-3 choke binds + score floor
  Cycle := 48–72h repair loops until TR stabilizes

		

5) AVOO Execution

			
AVOO.SEC_MATH.v1.0
Architect:
  Generates CorridorPlan := TopicOrder×DrillMix×ReviewTopology×TimeBudget
Visionary:
  Adds methods/heuristics ONLY if stable (avoid crisis novelty)
Oracle:
  Runs sensors weekly: TR, Shear, TTC, d²S, CouplingCount
Operator:
  Runs daily: Diagnose -> Truncate/Stitch -> Promote

		

6) Protocol Library (Operator-ready)

6.1 Diagnose (20–30 min)

			
PROTOCOL.Diagnose.SEC.v1.0
Input:
  - 20 mixed items (core nodes)
  - 3 word problems
  - 1 reasoning item
Output:
  - TR_baseline
  - ErrorSignature
  - Top-3 ChokePoints
  - TTC risk class

		

6.2 Truncate (48–72h)

			
PROTOCOL.Truncate.SEC.v1.0
Stop:
  - full paper spam
  - “advance chapters” when binds leak
Do:
  - narrow to Top-3 ChokePoints
  - micro-drills: 10–15 items per choke bind
  - feedback within 24h
Goal:
  - reduce dError/dt
  - stop d²S/dt² escalation

		

6.3 Stitch (2–6 weeks)

			
PROTOCOL.Stitch.SEC.v1.0
Steps:
  1) BindRepair (prereqs)
  2) SpacedRetrieval (Day1/Day3/Day7)
  3) TransferTraining (mixed topics, new contexts)
  4) StressStability (timed sets; controlled load)
PromotionRule:
  Promote when TR >= target across 3 contexts AND ErrorSignature stabilizes

		

6.4 Conflict Protocol (Exam Floor)

			
PROTOCOL.Conflict.SEC.v1.0
Trigger: ConflictTrigger=true
Actions:
  - build score floor: high-yield nodes first
  - minimize syllabus width
  - timed micro-sets daily
  - eliminate careless/time errors via checklists
Exit:
  - when TR stabilizes and dΩ/dt stops shrinking

		

7) Choke Point Catalog (Sec 1–4)

			
CHOKEPOINTS.SEC.v1.0
C1: Algebraic manipulation (expand/factorize, indices)
C2: Fractions/ratio/rate (unit rates, proportional reasoning)
C3: Equation modeling (turn text -> equations)
C4: Angle/similarity bind chain
C5: Coordinate binds (gradient, intercept, distance)
C6: Trig fundamentals (ratio meaning -> identities) (upper sec)

		

8) Records (Machine-Readable)

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×SEC_MATH×Z0×O×Sensor×TR_UnderLoad×v1.0
Type: Sensor
Definition: TR under time + mixed topics + novel context.
Thresholds: TR_target, TR_floor, d²S_spike
Outputs: PS_fast, ConflictTrigger
RECORD v1.0
ID: SGP×BUKIT_TIMAH×SEC_MATH×Z0×Op×Protocol×Diagnose_Truncate_Stitch×v1.0
Type: Protocol
Definition: Full repair pipeline from diagnosis to promotion.
BindsTo: ...×Sensor×TR_UnderLoad×v1.0
Evidence: TR improvement across 3 contexts

		

9) LLM Runner (Sec Math)

			
RUNNER.SEC_MATH.v1.0
Input: Sec level, last test scripts, next exam date, hours/week.
1) Create 25-item mixed diagnostic.
2) Infer ErrorSignature + TR_baseline.
3) Output: CorridorPlan (Architect), thresholds (Oracle), daily drills (Operator).
4) If ConflictTrigger: output Conflict Protocol.
Return: weekly schedule + Day1/3/7 plan + promotion rule.

		

10) Verdict Sentence

Secondary Math Tuition is successful when it stabilizes transfer reliability under load fast enough to prevent deadline locks from killing option space.

✅ ARTICLE 4 — Primary 1–6 Mathematics Tuition OS v1.0

(Almost-Code · Foundations as Bind Engine · Transfer via Word Problems · Conflict Lens for PSLE)

Primary 1–6 Mathematics Tuition OS — Bukit Timah (SGP×BUKIT_TIMAH) v1.0

0) Canonical Definition

Primary Math Tuition is foundation bind thickening plus transfer training. Its job is to build a stable arithmetic-to-modeling lattice early so that later corridors (upper primary, PSLE, secondary) remain open. Primary “conflict” is panic-driven option death near assessment locks (especially PSLE).

1) Spec Header

			
SPEC MathTuitionOS.PRI1-6.BUKIT_TIMAH.v1.0
PlaceID: SGP×BUKIT_TIMAH
Lane: EDU×MATH
Zoom: Z0 family routines → Z1 class competence; impacts Z2/Z5 later
CoreLaw: G>D AND Ω_real>Ω_crit

		

2) Primary Node Graph (Foundations)

			
GRAPH.PRI_MATH.v1.0
Nodes:
  N0_NumberSense
  N1_PlaceValue
  N2_OperationsFluency
  N3_FractionsDecimals
  N4_RatioUnitary (upper pri)
  N5_WordProblemParsing (language bind)
  N6_ModelDrawingBarModel
  N7_MultiStepPlanning
  N8_SpeedAccuracyUnderLowStress
Binds (examples):
  Bind(N0->N2)
  Bind(N1->N3)
  Bind(N2->N6)
  Bind(N5->N6)
  Bind(N3->N4)
  Bind(N6->N7)

		

3) Core Metrics (HD)

			
METRICS.PRI_MATH.v1.0
Fluency := speed × accuracy on fundamentals (N0/N1/N2)
TR_primary := correctness on novel word problems + multi-step tasks
ErrorSignature := {careless, concept, method, language, time}
FeedbackLatency := days(error -> corrected bind)
Ω_student := confidence + readiness corridor (upper pri / PSLE options)
S_shear := distance(ParentClaim, TR_primary)
TTC_assessment := time to WA/EOY; TTC_PSLE (long horizon)
R := D/G (forgetting/error growth vs mastery growth)
Derivatives:
  dFluency/dt, dTR/dt, dS/dt, d²S/dt², dΩ/dt

		

4) WarOS Conflict Mode (Primary/PSLE)

			
CONFLICTMODE.PRI_MATH.v1.0
DeadlineLock := (WA/EOY near) OR (PSLE horizon enters “short” zone)
ConflictTrigger :=
  DeadlineLock AND (dΩ/dt<0) AND (d²S/dt² spike OR R>1)
Common Mask:
  "Paper spam" = FakeCost (looks expensive; often doesn’t change binds)

		

5) AVOO Execution

			
AVOO.PRI_MATH.v1.0
Architect:
  designs routine topology: FluencyBlock + WordProblemBlock + ReviewLoop
Visionary:
  introduces heuristics only after foundations stable (avoid premature shortcuts)
Oracle:
  monitors FluencyFloor, TR_primary, Shear, TTC; flags d²S spikes
Operator:
  runs daily micro-drills + immediate correction + spaced retrieval

		

6) Protocol Library (Primary)

6.1 Diagnose (15–25 min)

			
PROTOCOL.Diagnose.PRI.v1.0
Input:
  - fundamentals sprint (10 min)
  - 8 word problems
  - 1 multi-step problem
Output:
  - Fluency score
  - TR_primary
  - ErrorSignature
  - Top-3 ChokePoints

		

6.2 Truncate (48–72h)

			
PROTOCOL.Truncate.PRI.v1.0
Stop:
  - excessive papers without bind repair
  - rushing into ratio/model heuristics before number sense
Do:
  - rebuild 1–2 binds/day
  - daily micro-fluency + correction
Goal:
  - stop R>1 drift; prevent panic shear acceleration

		

6.3 Stitch (2–8 weeks)

			
PROTOCOL.Stitch.PRI.v1.0
Steps:
  1) FoundationBindRepair (N0/N1/N2)
  2) LanguageBindRepair (N5: parsing, key info, units)
  3) ModelStability (N6: bar model)
  4) TransferSets (novel contexts)
  5) LowStressTiming (build speed without panic)
PromotionRule:
  - FluencyFloor stable + TR_primary >= target across 3 contexts

		

6.4 Conflict Protocol (PSLE corridor protection)

			
PROTOCOL.Conflict.PRI.v1.0
Trigger: ConflictTrigger=true
Actions:
  - stabilize fundamentals floor
  - reduce question-type spread
  - high-yield model types + error elimination
  - short cycles (48–72h) until TR stabilizes
Exit:
  - dΩ/dt stops shrinking + shear normalizes

		

7) Choke Point Catalog (Primary)

			
CHOKEPOINTS.PRI.v1.0
C1: Place value / regrouping errors
C2: Fraction meaning + operations
C3: Unitary method / ratio reasoning (upper pri)
C4: Word problem parsing (language bind)
C5: Bar model mapping (representation bind)
C6: Multi-step planning (working memory under load)

		

8) Records (Machine-Readable)

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×PRI_MATH×Z0×O×Sensor×FluencyFloor×v1.0
Type: Sensor
Definition: Minimum stable fluency on fundamentals under low stress.
Outputs: risk of downstream collapse, TTC contribution
RECORD v1.0
ID: SGP×BUKIT_TIMAH×PRI_MATH×Z0×Op×Protocol×BindRepairRoutine×v1.0
Type: Protocol
Definition: Daily routine to thicken prerequisite binds and prevent paper-spam masking.
Evidence: FluencyFloor ↑ and TR_primary ↑ across contexts

		

9) LLM Runner (Primary Math)

			
RUNNER.PRI_MATH.v1.0
Input: Pri level, last worksheets, next assessment date, time/week.
1) Generate Diagnose set (fluency sprint + word problems).
2) Compute FluencyFloor + TR_primary + ErrorSignature.
3) Output: Architect routine topology (≤45 min/day).
4) If ConflictTrigger: output Conflict Protocol (PSLE corridor protection).
Return: Day1/3/7 loop + promotion rule + parent instructions.

		

10) Verdict Sentence

Primary Math Tuition works when it thickens foundational binds and trains transfer early, so assessment deadlines cannot force panic-driven option death later.

OPTIONAL: One Shared FAQ Block (usable on all 4 pages)

What’s the “WarOS conflict lens” doing on a tuition site?

It treats exam deadlines like conflict clocks: when deadlines lock, options die fast unless repair is executed quickly. This lens prevents “panic mode” from destroying corridor options.

Why “Architect”?

Because most failures are routing failures (wrong topic order, wrong drill mix, wrong review topology), not lack of effort. Architect designs corridors; Operator runs them; Oracle measures; Visionary expands safely.

What’s the fastest indicator we’re drifting?

Shear + derivative: grades or “confidence claims” rise while transfer reliability under time stays weak, and the mismatch accelerates (d²S/dt²).

WordPress Paste Pack v1.0 — BukitTimahTutor.com (4 Full Pages)

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PAGE 1 — Bukit Timah OS (PlaceOS) Directory v1.0

H1: Bukit Timah OS (SGP×BUKIT_TIMAH) — PlaceOS Directory v1.0

Spec: Unified-CivOS v2.0 compatible · Module: CivOS-HD vNext+HD · Roles: AVOO · Lens: WarOS-Conflict (deadline locks)

Hero (6 lines, canonical)

Bukit Timah OS is the district-level education gravity system.
It is stable only when capability regeneration G(t) stays above decay D(t) and real option space Ω_real stays above irreversibility thresholds under load.
In education, “conflict” is deadline lock + irreversible cost + option death (not violence).
Tuition exists here as a repair router: diagnose leaks, truncate accelerating failure, stitch foundations, restore options.
Narratives don’t count. Substrate counts: time allocation, feedback latency, bind strength, and transfer reliability under exam load.
This page is a machine-readable runtime directory.

CivOS-HD Front-Matter (Ultra-Compact)

P ∈ {P0,P1,P2,P3}, Z ∈ {Z0..Z6}
G(t) regen, D(t) decay, R=D/G
Ω_real(t) option space, S(t) shear (NL↔SL), TTC time-to-collision
HD derivatives: dG/dt, dD/dt, dΩ/dt, dS/dt, d²S/dt², ΔCoupling/Δt
NIT: (Ω_real < Ω_crit) AND (IrreversibleCost=true)
Fence: if TTC1 for τ → Truncate() then Stitch()

1) Canonical Definition

Bukit Timah OS is a Z4 district coordination lattice that routes family time, school requirements, and tuition interventions into transfer-reliable learning output under deadline locks (WA/EOY/PSLE/N/O-level). It is stable only if G>D and Ω_real>Ω_crit.

2) Place Scope & Z-Binds

Place: SGP×BUKIT_TIMAH
Primary zoom: Z4
BindsTo:

Z0: households / students
Z1: classes / peer environments
Z2: schools / departments
Z3: industry / career corridor expectations
Z5: Singapore cohort quality + national capability regeneration

3) Lanes (What counts)

Narrative Lane (NL) — cheap signals

“top district”, “elite culture”
“more tuition hours”
“more papers”
“advance topics early”
“grades look fine”

Substrate Lane (SL) — expensive signals

weekly time allocation (practice/review/sleep)
diagnostic frequency + feedback latency
tutor protocol quality + bandwidth
prerequisite bind thickness (foundations)
transfer training (timed + mixed topics + novel contexts)

Energy Filter:

NL↑ but SL unchanged → Noise
SL changes + costly actions → Mass

4) AVOO Runtime Roles (new look)

Architect (A): corridor design (topic order × drill mix × review topology × time budget)
Visionary (V): expands strategies only when buffers allow
Oracle (O): instruments sensors, detects derivative spikes, forecasts TTC
Operator (Op): executes diagnose → truncate → stitch → promote

5) WarOS Conflict Lens (education version)

Conflict = deadline lock + option death risk.
Not violence.

ConflictTrigger (canonical):

DeadlineLock = true
dΩ/dt < 0
and (d²S/dt² spike OR R>1 OR TTC short)

When triggered, the system must switch to Conflict Protocol:

freeze syllabus expansion
protect score floor
repair top choke binds in 48–72h cycles
preserve Ω_real

6) Topology

Choke points (common)

weak foundations (fractions / algebra manipulation)
low feedback rate (errors persist)
topic spread too wide
schedule instability (sleep debt)
wrong intervention type (paper spam masking)

OffRamps (recovery corridors)

diagnostic reset corridor
micro-foundations rebuild (2–4 weeks)
exam stability corridor (score floor)
schedule re-routing corridor (buffers restored)

Redundancy (anti-brittleness)

multiple representations (diagram/table/algebra)
spaced retrieval (Day1/Day3/Day7)
mixed-topic transfer training

7) Sensors

TR_math: transfer under time + mixed topics + novel context
FeedbackLatency: days from error → corrected bind
ScheduleStability: consistency of sleep/practice blocks
Shear S: distance(GradeClaim, TR_math)
Ω_student: corridor count (confidence/grades/stream options)
TTC_exam: time to next assessment lock
CouplingCount: # lanes deviating together (school+home+tuition+health)

8) FenceOS (Truncate → Stitch)

Trigger: TTC short OR R>1 for τ OR d²S spike
Truncate():

freeze topic expansion
narrow to top-3 choke binds
raise feedback cadence immediately
restore buffers (sleep/time)
Stitch():
rebuild prerequisite binds
install review topology Day1/3/7
rebuild transfer reliability under load
reopen corridors (Ω_real)

9) Machine-Readable Records

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×EDU×Z4×O×Sensor×TR_Math×v1.0
Type: Sensor
Lane: EDU×MATH
Zoom: Z4
Role: Oracle
Definition: Measures transfer reliability under load (time + mixed topics + novel context).
Outputs: TR_math, PS_fast contribution, TTC contribution
BindsTo: SGP×BUKIT_TIMAH×EDU×Z4×Op×Protocol×Fence_TruncateStitch×v1.0
Evidence: timed mixed-topic tests (expensive signal)
RECORD v1.0
ID: SGP×BUKIT_TIMAH×EDU×Z4×Op×Protocol×Fence_TruncateStitch×v1.0
Type: Protocol
Lane: EDU×MATH
Zoom: Z4
Role: Operator
Definition: Executes truncation+stitching to prevent option death near deadlines.
Inputs: TR_math, ErrorSignature, TTC_exam
Outputs: stabilized score floor + rebuilt binds + restored Ω_real
Evidence: TR improves across 3 contexts

		

10) LLM Runner

			
RUNNER.PlaceOS.BUKIT_TIMAH.v1.0
Input: student level, recent scores, next assessment date, time/week, topic list.
1) Compute TTC_exam + DeadlineLock status.
2) Propose 25-item mixed diagnostic to estimate TR_math + ErrorSignature.
3) Output: Shear S + d²S risk, Ω status, R qualitative.
4) If ConflictTrigger: output Truncate (48–72h) + Stitch (2–6 weeks).
Return: Operator Report + schedule + promotion rules.

		

FAQ (short)

Why is “WarOS conflict” here?
Because exam cycles create deadline locks. Options die fast unless repair is executed fast.

Why “Architect”?
Most failures are routing failures (wrong topic order/drill mix/review topology), not effort.

What’s the fastest drift signal?
Shear accelerating: grades/claims look fine while TR under time stays weak, and mismatch grows.

PAGE 2 — Bukit Timah Tuition OS v1.0

H1: Bukit Timah Tuition OS — Repair Router Directory v1.0

Spec: Unified-CivOS v2.0 compatible · Roles: AVOO · Lens: Conflict under deadline locks

Hero (6 lines)

TuitionOS is not “extra teaching.”
It is a repair router + buffer injector that prevents option death under deadlines.
It works when it changes substrate: diagnostics, feedback cadence, routing, bind repair, and transfer training under load.
It fails when it becomes narrative-only: more hours, more papers, more centers.
Architect designs the corridor, Oracle measures drift, Operator repairs, Visionary expands safely.
This page is the machine-readable runtime spec.

CivOS-HD Front-Matter (Ultra-Compact)

(same as Page 1; keep consistent)

1) Definition

TuitionOS converts household load into stable learning throughput by reducing decay D (errors, forgetting, avoidance) and increasing regeneration G (mastery compounding, retrieval speed, transfer). Its job is FenceOS for learning: prevent crossing NIT when deadlines close corridors.

2) AVOO Roles

Architect: CorridorPlan = TopicOrder × DrillMix × ReviewTopology × TimeBudget
Visionary: adds new strategies only when buffers stable
Oracle: TR, Shear, Ω, TTC monitoring + derivative alerts
Operator: diagnose → truncate → stitch → promote

3) Sensors

TR_math (timed, mixed topics, novel context)
ErrorSignature (concept/method/careless/language/time)
FeedbackLatency
Ω_student
TTC_exam
Shear S
R=D/G qualitative

4) Conflict Mode

Trigger: DeadlineLock AND dΩ/dt<0 AND (d²S spike OR R>1 OR TTC short)
Objective: preserve Ω_student
Action: freeze expansion, protect score floor, repair top binds in 48–72h cycles

5) Fence Protocols

			
PROTOCOL.Truncate.TuitionOS.v1.0
Stop: paper spam, step-memorization, widening syllabus during leaks
Do: narrow to top-3 choke binds, daily micro-checks, restore buffers
PROTOCOL.Stitch.TuitionOS.v1.0
Do: BindRepair + Day1/3/7 retrieval + TransferTraining + StressStability
Promote: TR>=target across 3 contexts + stable ErrorSignature

		

6) Records

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×TUITION×Z0×A×Protocol×CorridorDesign×v1.0
Type: Protocol
Role: Architect
Definition: Generates corridor plan from diagnostics.
Inputs: ErrorSignature, TR_math, TTC_exam, time_per_week
Outputs: TopicOrder, DrillMix, ReviewTopology, BufferPlan
RECORD v1.0
ID: SGP×BUKIT_TIMAH×TUITION×Z0×O×Sensor×ShearMonitor×v1.0
Type: Sensor
Role: Oracle
Definition: Tracks mismatch between grade claims and transfer reliability.
Trigger: d²S spike => ConflictMode

		

LLM Runner

			
RUNNER.TuitionOS.BUKIT_TIMAH.v1.0
Input: level, latest scores, next exam date, time/week.
Output: CorridorPlan (A), thresholds (O), daily drills (Op), safe expansions (V).

PAGE 3 — Secondary 1–4 Math Tuition OS v1.0

H1: Secondary 1–4 Math Tuition (Bukit Timah) — MathTuitionOS v1.0

Spec: Unified-CivOS v2.0 compatible · Mode: Conflict-aware under WA/EOY/N/O-level locks

Hero (6 lines)

Secondary Math fails when foundations leak under time and mixed topics.
Grades can look fine until transfer collapses — that’s shear.
MathTuitionOS fixes this with a closed loop: diagnose → truncate → stitch → promote.
Under deadline locks, we switch to Conflict Mode to preserve option space.
Architect designs corridor routing, Oracle measures drift, Operator repairs, Visionary expands safely.
This is the executable spec.

1) Topic Graph (Nodes/Binds)

			
GRAPH.SEC_MATH.v1.0
Nodes: Number, FractionsRatioRate, AlgebraManipulation, LinearEq/Ineq,
       GeometryAngles, SimilarityCongruence, Mensuration, StatsProb,
       CoordinateGeom, Trig, FunctionsGraphs, WordProblemModeling
Binds:
  FractionsRatioRate -> AlgebraManipulation -> LinearEq/Ineq
  GeometryAngles -> SimilarityCongruence
  AlgebraManipulation -> FunctionsGraphs
  WordProblemModeling -> ALL

		

2) Metrics (HD)

			
TR_math := P(correct | time_limit, mixed_topics, novel_context)
ErrorSignature := {concept, method, careless, language, time}
S_shear := distance(ReportedGrade, TR_math)
Ω_student := corridor count (confidence/grade band/options)
TTC_exam := time to next lock
R := D/G (error growth/forgetting vs mastery compounding)
Derivatives: dTR/dt, dError/dt, dS/dt, d²S/dt², dΩ/dt

		

3) Conflict Mode (WarOS lens)

			
DeadlineLock := (TTC_exam <= TTC_min) OR (streaming gate imminent)
ConflictTrigger := DeadlineLock AND dΩ/dt<0 AND (d²S spike OR R>1)
If ConflictTrigger:
  Freeze topic expansion
  Build score floor (high-yield binds)
  Run 48–72h repair cycles
  Exit when TR stabilizes + dΩ/dt stops shrinking

		

4) AVOO Execution

Architect: CorridorPlan generation
Oracle: weekly sensors + derivative alerts
Operator: daily drills + feedback + promote
Visionary: safe method expansion only when stable

5) Protocol Library (copyable)

			
PROTOCOL.Diagnose.SEC.v1.0
Input: 20 mixed items + 3 word problems + 1 reasoning item
Output: TR_baseline, ErrorSignature, Top-3 ChokePoints, TTC risk
PROTOCOL.Truncate.SEC.v1.0 (48–72h)
Stop: full paper spam, widen syllabus during leaks
Do: Top-3 choke bind micro-drills + 24h feedback
Goal: reduce dError/dt; stop d²S escalation
PROTOCOL.Stitch.SEC.v1.0 (2–6 weeks)
BindRepair + Day1/3/7 retrieval + TransferTraining + StressStability
Promote: TR>=target across 3 contexts + stable ErrorSignature
PROTOCOL.Conflict.SEC.v1.0
Build score floor; minimize spread; timed micro-sets; careless/time checklist

		

6) Choke Point Catalog

Algebra manipulation (expand/factorize/indices)
Fractions/ratio/rate (unit rates, proportional reasoning)
Equation modeling (text→equations)
Angle→similarity bind chain
Coordinate basics (gradient/intercept/distance)
Trig meaning (upper sec)

7) Records

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×SEC_MATH×Z0×O×Sensor×TR_UnderLoad×v1.0
Type: Sensor
Definition: TR under time + mixed topics + novel context.
Thresholds: TR_target, TR_floor, d²S_spike
Outputs: PS_fast, ConflictTrigger
RECORD v1.0
ID: SGP×BUKIT_TIMAH×SEC_MATH×Z0×Op×Protocol×Diagnose_Truncate_Stitch×v1.0
Type: Protocol
Definition: Full repair pipeline.
Evidence: TR improves across 3 contexts

		

LLM Runner

			
RUNNER.SEC_MATH.v1.0
Input: Sec level, scripts, next exam date, hours/week.
Output: Diagnostic, ErrorSignature, CorridorPlan, daily drills, Conflict plan if needed.

PAGE 4 — Primary 1–6 Math Tuition OS v1.0

H1: Primary 1–6 Math Tuition (Bukit Timah) — MathTuitionOS v1.0

Spec: Unified-CivOS v2.0 compatible · Focus: foundations + transfer + PSLE corridor protection

Hero (6 lines)

Primary Math is where option space is won early.
Foundations are binds: number sense → fluency → modeling → multi-step transfer.
Most failure is paper-spam masking: expensive-looking work that doesn’t thicken binds.
We run a closed loop: diagnose → truncate → stitch → promote.
Near PSLE or major assessments, we switch to Conflict Mode to stop option death.
This is the executable spec.

1) Primary Node Graph

			
GRAPH.PRI_MATH.v1.0
Nodes:
  NumberSense, PlaceValue, OperationsFluency,
  FractionsDecimals, RatioUnitary,
  WordProblemParsing, BarModel, MultiStepPlanning,
  SpeedAccuracyLowStress
Binds:
  NumberSense->OperationsFluency
  PlaceValue->FractionsDecimals->RatioUnitary
  WordProblemParsing->BarModel->MultiStepPlanning
  OperationsFluency->BarModel

		

2) Metrics (HD)

			
Fluency := speed×accuracy fundamentals
TR_primary := novel word problems + multi-step correctness
ErrorSignature := {careless, concept, method, language, time}
S_shear := distance(ParentClaim, TR_primary)
Ω_student := confidence + readiness corridor
TTC_assessment := WA/EOY; TTC_PSLE
R := D/G
Derivatives: dFluency/dt, dTR/dt, dS/dt, d²S/dt², dΩ/dt

		

3) Conflict Mode (Primary/PSLE)

			
DeadlineLock := (WA/EOY near) OR (PSLE horizon enters short zone)
ConflictTrigger := DeadlineLock AND dΩ/dt<0 AND (d²S spike OR R>1)
Common Mask:
  PaperSpam = FakeCost (looks expensive; bind thickness unchanged)

4) AVOO Execution

Architect designs routine topology: FluencyBlock + WordProblemBlock + ReviewLoop
Oracle monitors FluencyFloor + TR + Shear derivatives
Operator runs daily micro-drills + immediate correction
Visionary adds heuristics only after foundations stable

5) Protocol Library

			
PROTOCOL.Diagnose.PRI.v1.0
Input: 10-min fundamentals sprint + 8 word problems + 1 multi-step
Output: Fluency, TR_primary, ErrorSignature, Top-3 Chokes
PROTOCOL.Truncate.PRI.v1.0 (48–72h)
Stop: paper spam, premature shortcuts
Do: rebuild 1–2 binds/day + daily micro-fluency + correction
PROTOCOL.Stitch.PRI.v1.0 (2–8 weeks)
FoundationBindRepair + LanguageBindRepair + BarModelStability +
TransferSets + LowStressTiming
Promote: FluencyFloor stable + TR>=target across 3 contexts
PROTOCOL.Conflict.PRI.v1.0
Stabilize fundamentals floor; reduce spread; high-yield model types; short cycles
Exit: dΩ/dt stops shrinking + shear normalizes

		

6) Choke Point Catalog

place value/regrouping
fraction meaning + operations
unitary/ratio reasoning
word problem parsing (language bind)
bar model mapping
multi-step planning under load

7) Records

			
RECORD v1.0
ID: SGP×BUKIT_TIMAH×PRI_MATH×Z0×O×Sensor×FluencyFloor×v1.0
Type: Sensor
Definition: minimum stable fundamentals fluency.
Outputs: downstream risk + TTC contribution
RECORD v1.0
ID: SGP×BUKIT_TIMAH×PRI_MATH×Z0×Op×Protocol×BindRepairRoutine×v1.0
Type: Protocol
Definition: daily bind-thickening routine preventing fake-cost masking.
Evidence: FluencyFloor↑ and TR_primary↑ across contexts

		

LLM Runner

			
RUNNER.PRI_MATH.v1.0
Input: Pri level, worksheets, next assessment, time/week.
Output: Diagnose set + routine topology (≤45 min/day) + Conflict plan if needed.

Optional Footer (same on all pages)

Version: v1.0 · Compatibility: append-only · No renaming: forward-only IDs · Dependencies: CivOS-HD vNext+HD, Unified-CivOS v2.0, Counter-Signal Atlas v0.1, Negative Void Atlas v1.0.

Start Here:

eduKateSG Learning Systems:

Bukit Timah OS Upgrade Pack Unified-CivOS Canonical v2.0 compatible

Canonical Upgrade Notes

Bukit Timah OS (PlaceOS) v1.0

Bukit Timah OS (SGP×BUKIT_TIMAH) — PlaceOS Directory v1.0

0) CivOS-HD Front-Matter (Ultra-Compact)

1) Canonical Definition

2) Place Identity and Scope

3) Lanes (What “counts”)

3.1 Narrative Lane (NL) — Cheap signals (often noisy)

3.2 Substrate Lane (SL) — Expensive signals (real physics)

4) AVOO Role Stack (Local Runtime)

5) WarOS Conflict Lens (Education-as-Conflict)

6) Topology (Off-Ramps, Choke Points, Redundancy)

6.1 Choke Points (thin binds that collapse many paths)

6.2 Off-Ramps (recovery corridors preserving Ω_real)

6.3 Redundancy (multiple routes)

7) PlaceOS Sensors (Z4)

8) FenceOS at Place Level

9) PlaceOS Directory Records (Machine-Readable)

10) LLM Runner (PlaceOS)

11) Verdict Sentence

✅ ARTICLE 2 — Bukit Timah Tuition OS v1.0

Bukit Timah Tuition OS — TuitionOS Directory v1.0

0) Canonical Definition

1) Spec Header

2) Lanes (Noise vs Mass)

NL (noise patterns)

SL (mass patterns)

3) AVOO Roles in TuitionOS

4) Core Sensors (TuitionOS)

5) Conflict Mode (WarOS lens)

6) Fence Protocols (Truncate + Stitch)

7) Records (Machine-Readable)

8) Verdict Sentence

✅ ARTICLE 3 — Secondary 1–4 Mathematics Tuition OS v1.0

Secondary 1–4 Mathematics Tuition OS — Bukit Timah (SGP×BUKIT_TIMAH) v1.0

0) Canonical Definition

1) Spec Header

2) Node Graph (Topics as Nodes, Prereqs as Binds)

3) Core Metrics (HD)

4) WarOS Conflict Mode for Secondary Math

5) AVOO Execution

6) Protocol Library (Operator-ready)

6.1 Diagnose (20–30 min)

6.2 Truncate (48–72h)

6.3 Stitch (2–6 weeks)

6.4 Conflict Protocol (Exam Floor)

7) Choke Point Catalog (Sec 1–4)

8) Records (Machine-Readable)

9) LLM Runner (Sec Math)

10) Verdict Sentence

✅ ARTICLE 4 — Primary 1–6 Mathematics Tuition OS v1.0

Primary 1–6 Mathematics Tuition OS — Bukit Timah (SGP×BUKIT_TIMAH) v1.0

0) Canonical Definition

1) Spec Header

2) Primary Node Graph (Foundations)

3) Core Metrics (HD)

4) WarOS Conflict Mode (Primary/PSLE)

5) AVOO Execution

6) Protocol Library (Primary)

6.1 Diagnose (15–25 min)

6.2 Truncate (48–72h)

6.3 Stitch (2–8 weeks)

6.4 Conflict Protocol (PSLE corridor protection)

7) Choke Point Catalog (Primary)

8) Records (Machine-Readable)

9) LLM Runner (Primary Math)

10) Verdict Sentence

OPTIONAL: One Shared FAQ Block (usable on all 4 pages)

What’s the “WarOS conflict lens” doing on a tuition site?

Why “Architect”?

What’s the fastest indicator we’re drifting?

WordPress Paste Pack v1.0 — BukitTimahTutor.com (4 Full Pages)

PAGE 1 — Bukit Timah OS (PlaceOS) Directory v1.0

H1: Bukit Timah OS (SGP×BUKIT_TIMAH) — PlaceOS Directory v1.0

Hero (6 lines, canonical)

CivOS-HD Front-Matter (Ultra-Compact)

1) Canonical Definition

2) Place Scope & Z-Binds

3) Lanes (What counts)