Title: BukitTimahTutor Lattice Index (Education OS Directory)
Definition Lock
BukitTimahTutor Lattice Index is the canonical directory of all BukitTimahTutor Education OS nodes.
It exists so every article can be read as part of one coherent lattice: Z0 execution → Z1 support loops → Z2 exam/transition → Z3 interfaces.
This page is the “graph closure router.”
It does not teach topics. It indexes the system.
Start Here: https://bukittimahtutor.com/education-os-bukit-timah-tutor-lattice/
How to Use This Index
- If you are a student: start with your grade node (Sec 1 / Sec 2 / Sec 3 / Sec 4 / A-Math).
- If you are a parent: start with support loop nodes and dependency sensors.
- If you want exam results: start with exam pipeline nodes and TTC sensor.
- If you want to publish: use the “Add a New Node” protocol at the bottom.
Z2 — Grade Nodes (Entry pages people search)
These are your primary SEO entry nodes.
| Node | Coordinate | Slug |
|---|---|---|
| Secondary 1 Mathematics | BTT.MAT.Z2.N.SEC1.001 | /btt-mat-z2-n-sec1-001-secondary-1-mathematics/ |
| Secondary 2 Mathematics | BTT.MAT.Z2.N.SEC2.001 | /btt-mat-z2-n-sec2-001-secondary-2-mathematics/ |
| Secondary 3 E-Math | BTT.MAT.Z2.N.SEC3.001 | /btt-mat-z2-n-sec3-001-secondary-3-emath/ |
| Secondary 4 E-Math | BTT.MAT.Z2.N.SEC4.001 | /btt-mat-z2-n-sec4-001-secondary-4-emath/ |
| Secondary 3 A-Math | BTT.MAT.Z2.N.AM3.001 | /btt-mat-z2-n-am3-001-secondary-3-amath/ |
| Secondary 4 A-Math | BTT.MAT.Z2.N.AM4.001 | /btt-mat-z2-n-am4-001-secondary-4-amath/ |
Publishing rule: Every grade node must link down to at least 2 Z0 execution pipelines + 2 sensors.
Z0 — Execution Pipelines (Capability atoms)
These are the actual “engine room” pages that make math work under load.
| Pipeline | Coordinate | Slug |
|---|---|---|
| Algebra Control Pipeline | BTT.MAT.Z0.P.ALG.001 | /btt-mat-z0-p-alg-001-algebra-control-pipeline/ |
| Differentiation Execution Pipeline | BTT.MAT.Z0.P.DIF.001 | /btt-mat-z0-p-dif-001-differentiation-execution-pipeline/ |
| Geometry Control Pipeline | BTT.MAT.Z0.P.GEO.001 | /btt-mat-z0-p-geo-001-geometry-control-pipeline/ |
Publishing rule: Every Z0 pipeline page must have:
- “variation set” examples (not just definitions),
- checking rules,
- and an “under load” test.
Z1 — Support Loop Pipelines (Home + Tuition scaffolding)
These decide whether learning becomes regenerative or rescue-based.
| Support loop | Coordinate | Slug |
|---|---|---|
| Household Study Loop Pipeline | BTT.PAR.Z1.P.HOM.001 | (create after parent stack; slug later) |
| Tuition Scaffolding Loop (Prompt→Fade→Independence) | BTT.TUI.Z1.P.SCF.001 | (create after tuition stack; slug later) |
Publishing rule: Z1 pages must explicitly define:
- what counts as “scaffolding,”
- what counts as “rescue,”
- and how to transition out of dependency.
Z2 — Exam + Transition Pipelines (Load steps)
These are the “rupture points” where students actually collapse.
| Exam / Transition | Coordinate | Slug |
|---|---|---|
| Secondary Exam Pipeline (Sec1→Sec4) | BTT.EXM.Z2.P.SEC.001 | (create) |
| Transition Pipeline (Sec1→2→3→4; E-Math→A-Math) | BTT.EDU.Z2.P.TRN.001 | (create) |
| O-Level Bind | BTT.EXM.Z2.B.OLEV.001 | (create) |
Publishing rule: Every Z2 pipeline page must list:
- 3 typical rupture signatures,
- the corresponding sensor,
- the recovery protocol.
Z0/Z1 — Sensors (Diagnostics that make you non-generic)
Sensors are your dominance weapon: they turn “tuition content” into an OS.
| Sensor | Coordinate | Slug |
|---|---|---|
| Student TTC / Time-Pressure Sensor | BTT.SEN.Z0.S.TTC.001 | /btt-sen-z0-s-ttc-001-student-ttc-sensor/ |
| Error-Pattern Sensor | BTT.MAT.Z0.S.ERR.001 | /btt-mat-z0-s-err-001-error-pattern-sensor/ |
| Prompt-Dependency Sensor | BTT.SEN.Z1.S.DEP.001 | /btt-sen-z1-s-dep-001-prompt-dependency-sensor/ |
| False-Competence Gauge | BTT.SEN.Z1.S.FCG.001 | /btt-sen-z1-s-false-competence-gauge/ |
Publishing rule: Every grade node must reference at least:
- TTC sensor + Dependency sensor, and
- one error-class sensor.
Z3 — Singapore Interfaces (Bind to real system)
These make your lattice “real” and prevent it from being generic.
| Interface | Coordinate | Notes |
|---|---|---|
| Syllabus / Standards Interface | SG.EDU.Z3.B.SYL.001 | load steps, pacing, scope |
| National Exam Interface | SG.EDU.Z3.B.EXM.001 | paper structure, time pressure |
| Placement / Streaming Interface | SG.EDU.Z3.B.PLC.001 | transitions, sorting, corridor effects |
Inversion Tests (Failure-First hub pages)
These are the pages that rank and lock your definitions.
| Inversion page | Coordinate | Slug |
|---|---|---|
| How Mathematics Does Not Work (BTT) | BTT.MAT.Z3.N.INV.001 | /how-mathematics-does-not-work-btt/ |
| How Tuition Does Not Work (BTT) | BTT.TUI.Z3.N.INV.001 | /how-tuition-does-not-work-btt/ |
| How Students Fail in Examinations (BTT) | BTT.EXM.Z3.N.INV.001 | /how-students-fail-in-examinations-btt/ |
| How Parents Do Not Help in Education (BTT) | BTT.PAR.Z3.N.INV.001 | /how-parents-do-not-help-in-education-btt/ |
Canonical Graph Block (Paste into this index)
BukitTimahTutor Lattice Graph Block (Index)Z2 Grade Entry:BTT.MAT.Z2.N.SEC1.001BTT.MAT.Z2.N.SEC2.001BTT.MAT.Z2.N.SEC3.001BTT.MAT.Z2.N.SEC4.001BTT.MAT.Z2.N.AM3.001BTT.MAT.Z2.N.AM4.001Z0 Execution:BTT.MAT.Z0.P.ALG.001BTT.MAT.Z0.P.DIF.001BTT.MAT.Z0.P.GEO.001Sensors:BTT.SEN.Z0.S.TTC.001BTT.MAT.Z0.S.ERR.001BTT.SEN.Z1.S.DEP.001BTT.SEN.Z1.S.FCG.001Z2 Pipelines:BTT.EXM.Z2.P.SEC.001BTT.EDU.Z2.P.TRN.001BTT.EXM.Z2.B.OLEV.001Z3 Interfaces:SG.EDU.Z3.B.SYL.001SG.EDU.Z3.B.EXM.001SG.EDU.Z3.B.PLC.001Edges:BTT.MAT.Z2.N.SEC3.001 BindsTo BTT.MAT.Z0.P.ALG.001BTT.MAT.Z2.N.AM3.001 BindsTo BTT.MAT.Z0.P.DIF.001BTT.SEN.Z1.S.DEP.001 Impacts BTT.EXM.Z2.P.SEC.001BTT.SEN.Z0.S.TTC.001 Observes BTT.EXM.Z2.B.OLEV.001Add a New Node (Mini-Protocol)
When you write a new page, do this:
- Assign a coordinate using the standard:
BTT.<LANE>.Z<ZOOM>.<ROLE>.<TYPE>.<ID> - Add it to the correct table above.
- On the new page, include:
- Lattice Coordinates Referenced (min 5)
- Edges Created (min 3)
- Sensors Mentioned (min 1)
- Link the new page back to:
/education-os-bukit-timah-tutor-lattice//bukit-timah-tutor-lattice-index//bukit-timah-tutor-lattice-coordinate-standard/
That’s it — the lattice expands forever without breaking.
WordPress Lattice Footer (Paste at bottom)
<hr><h2>📍 BukitTimahTutor Lattice Closure</h2><p><strong>Back to Hub:</strong> <a href="/education-os-bukit-timah-tutor-lattice/">BukitTimahTutor Education OS (Lattice Map)</a></p><p><strong>Directory:</strong> <a href="/bukit-timah-tutor-lattice-index/">BukitTimahTutor Lattice Index</a></p><p><strong>Standard:</strong> <a href="/bukit-timah-tutor-lattice-coordinate-standard/">Lattice Coordinate Standard (BukitTimahTutor)</a></p><hr>
Bukit Timah Tutor Secondary Mathematics 