(Almost-Code Canonical · Unified Spec v1.0)
This attaches Mathematics as a subject-lane implementation under BukitTimahTutor’s repair router, without changing the Education OS kernel.
BTT×MATH — Lane Registry
[SITE]Domain: bukittimahtutor.comPlace: SGP.SG.BTLane: EDU.MATHRole: Repair Router (Truncation + Stitching)Zoom: Z0–Z3v: v1.0
1) Math Lane Lock
[NODE]SGP.SG.BT×EDU.MATH×Z3×V×LOCK×BTT.MATH.PURPOSE×v1.0: txt: "BukitTimahTutor repairs mathematics capability by rebuilding symbol decoding, representation, error loops, and transfer—then reintroducing speed."[EDGE]binds_to: SGP.SG.BT×EDU×Z3×R×PROTOCOL×BTT.REPAIR_ROUTING×v1.0 Z*×EDU×Z3×S×STACK×STUDY.SKILLS×v1.0
2) Math-Specific Capability Primitives (Below Topics)
These are the “pillars” that sit under algebra/geometry etc.
[NODE]SGP.SG.BT×EDU.MATH×Z0×L×PRIM×MATH.SYMBOL_SYSTEM×v1.0: def: "ability to decode and manipulate symbols (notation, operators, equality, functions)"[NODE]SGP.SG.BT×EDU.MATH×Z0×L×PRIM×MATH.REPRESENTATION×v1.0: def: "ability to hold a mental model of quantity/structure (not just steps)"[NODE]SGP.SG.BT×EDU.MATH×Z1×L×PRIM×MATH.ERROR_LOOP×v1.0: def: "ability to detect, locate, and correct errors independently"[NODE]SGP.SG.BT×EDU.MATH×Z2×L×PRIM×MATH.TRANSFER×v1.0: def: "ability to apply principles under variation (twist questions)"[NODE]SGP.SG.BT×EDU.MATH×Z2×L×PRIM×MATH.TIME_CONTROL×v1.0: def: "ability to execute within time constraints without collapse"
3) Math Phase Definitions (P0–P3) (Operational)
[NODE]SGP.SG.BT×EDU.MATH×Z3×S×PHASE×P0P3.MATH×v1.0: P3: - "solves novel questions; explains reasoning; self-corrects; stable under time" P2: - "solves standard forms; brittle under twist/time; error loop partly external" P1: - "cram works short term; frequent slips; panic under time; high variance" P0: - "shutdown; cannot start; avoidance; identity damage around math"
4) Core Failure Mode Trace — Math (Required)
[NODE]SGP.SG.BT×EDU.MATH×Z3×R×TRACE×BTT.MATH.FAILURE_MODE×v1.0: chain: - "Z0: weak symbol decoding (e.g., '=' treated as 'do something')" - "Z0: steps memorised without representation" - "Z1: error loop externalised (needs teacher to find mistakes)" - "Z2: transfer breaks under variation" - "Z2: time collapse → panic → blanking" phase_drift: - "P2 → P1 → P0 under acceleration mismatch" repair_route: - "reduce speed + rebuild primitives → restore transfer → add time last → P1→P2→P3"
5) Grade-Band Acceleration Map (PSLE → Sec → A-Math) (Abstract)
Primary / PSLE (Z1–Z2 pressure increase)
[NODE]SGP.SG.BT×EDU.MATH×Z3×S×MODULE×MATH.PSLE.LOAD_JUMP×v1.0: load_changes: - "multi-step reasoning" - "model drawing / representation demands" - "time-pressure accuracy" common_breaks: - "representation gap" - "error-repeat loops" output_if_unrepaired: - "careless cluster becomes chronic"
Secondary 1–2 (Symbol density + algebra)
[NODE]SGP.SG.BT×EDU.MATH×Z3×S×MODULE×MATH.SEC12.LOAD_JUMP×v1.0: load_changes: - "algebraic symbolism" - "equations/inequalities" - "structured problem writing" common_breaks: - "symbol system weak → nonsense manipulation" - "cannot start questions independently"
Secondary 3–4 / A-Math (Abstraction + speed)
[NODE]SGP.SG.BT×EDU.MATH×Z3×S×MODULE×MATH.SEC34_AMATH.LOAD_JUMP×v1.0: load_changes: - "functions, graphs, transformations" - "proof-like reasoning / identity manipulation" - "higher time compression" common_breaks: - "transfer collapse under variation" - "time-control collapse" risk: - "P2 brittle → P1 panic under exams"
6) Math Collapse Clusters (BTT Diagnostic Router)
Cluster A — Careless/Accuracy (often S0 + S3)
[NODE]SGP.SG.BT×EDU.MATH×Z0×R×TRACE×BTT.MATH.CLUSTER.ACCURACY×v1.0: symptoms: - "sign errors" - "copying errors" - "missed constraints" root: - "S0 input + S3 error loop weak" fix: - "precision rituals + error localisation training"
Cluster B — Cannot Start (often S1)
[NODE]SGP.SG.BT×EDU.MATH×Z0×R×TRACE×BTT.MATH.CLUSTER.CANNOT_START×v1.0: symptoms: - "stares at question" - "waits for hints" root: - "representation gap + decomposition gap" fix: - "starter templates + decomposition drills"
Cluster C — Twist Questions (S4 transfer)
[NODE]SGP.SG.BT×EDU.MATH×Z2×R×TRACE×BTT.MATH.CLUSTER.TRANSFER_BREAK×v1.0: symptoms: - "can do drills, fails unfamiliar" root: - "principle extraction missing" fix: - "variation ladder + principle-first training"
Cluster D — Time Collapse (S5 + S6)
[NODE]SGP.SG.BT×EDU.MATH×Z2×R×TRACE×BTT.MATH.CLUSTER.TIME_COLLAPSE×v1.0: symptoms: - "slow" - "panic" - "blanking" root: - "meta-control + stability weak; acceleration mismatch" fix: - "time budgeting + staged speed reintroduction"
7) BukitTimahTutor Math Repair Protocol (Strict Order)
[NODE]SGP.SG.BT×EDU.MATH×Z3×R×PROTOCOL×BTT.MATH.REPAIR×v1.0: Step0 TRUNCATE: - "stop runaway workload; remove speed pressure" - "prevent identity damage: 'math failure' → 'missing primitive'" Step1 S0 SYMBOL + INPUT: - "decode notation" - "read constraints precisely" - "units/labels discipline" Step2 S1 REPRESENTATION: - "build mental model" - "derive steps from meaning, not memory" Step3 S3 ERROR LOOP: - "error detection" - "error localisation" - "self-correction protocol" Step4 S4 TRANSFER: - "variation ladder" - "principle extraction" - "twist question training" Step5 S5 TIME CONTROL: - "time budgeting" - "first-step speed" - "accuracy under mild time" Step6 SPEED (ONLY LAST): - "raise velocity gradually" - "monitor variance + stress"
8) Sensors (Math Lane)
[NODE]SGP.SG.BT×EDU.MATH×Z0×R×METRIC×BTT.MATH.SENSOR.ERROR_REPEAT×v1.0: def: "same error recurrence frequency per 10 questions"[NODE]SGP.SG.BT×EDU.MATH×Z0×R×METRIC×BTT.MATH.SENSOR.START_LATENCY×v1.0: def: "time to first correct step"[NODE]SGP.SG.BT×EDU.MATH×Z2×R×METRIC×BTT.MATH.SENSOR.TRANSFER_BREAK×v1.0: def: "failure probability under format variation"[NODE]SGP.SG.BT×EDU.MATH×Z2×R×METRIC×BTT.MATH.SENSOR.TIME_VARIANCE×v1.0: def: "performance variance under timed vs untimed conditions"
9) Outcomes Lock (What “A1 / Strong Math” Means Here)
[NODE]SGP.SG.BT×EDU.MATH×Z3×V×LOCK×BTT.MATH.A1_MEANING×v1.0: txt: "A1 is not memorisation. A1 = stable primitives + robust transfer + self-correction + time control (P3)."
10) Canonical Copy/Paste Block (Math Lane)
[LOCKBLOCK:BTT.MATH.v1.0]Math success is primitives, not topics:symbol_system + representation + error_loop + transfer + time_control.BTT repairs in order: truncate → symbols → representation → error loop → transfer → time → speed.Target: P3 (robust under novelty and time), not P1 cram.
Recommended Internal Links (Spine)
- Sholpan Upgrade Training Lattice (SholpUTL): https://edukatesg.com/sholpan-upgrade-training-lattice-sholputl/
- https://edukatesg.com/human-regenerative-lattice-3d-geometry-of-civilisation/
- https://edukatesg.com/new-york-z2-institutional-lattice-civos-index-page-master-hub/
- https://edukatesg.com/civilisation-lattice/
- https://edukatesg.com/civ-os-classification/
- https://edukatesg.com/civos-classification-systems/
- https://edukatesg.com/how-civilization-works/
- https://edukatesg.com/civos-lattice-coordinates-of-students-worldwide/
- https://edukatesg.com/civos-worldwide-student-lattice-case-articles-part-1/
- https://edukatesg.com/new-york-z2-institutional-lattice-civos-index-page-master-hub/
- https://edukatesg.com/advantages-of-using-civos-start-here-stack-z0-z3-for-humans-ai/
- Education OS (How Education Works): https://edukatesg.com/education-os-how-education-works-the-regenerative-machine-behind-learning/
- Tuition OS: https://edukatesg.com/tuition-os-edukateos-civos/
- Civilisation OS kernel: https://edukatesg.com/civilisation-os/
- Root definition: What is Civilisation?
- Control mechanism: Civilisation as a Control System
- First principles index: Index: First Principles of Civilisation
- Regeneration Engine: The Full Education OS Map
- The Civilisation OS Instrument Panel (Sensors & Metrics) + Weekly Scan + Recovery Schedule (30 / 90 / 365)
- Inversion Atlas Super Index: Full Inversion CivOS Inversion
Start Here:
- https://edukatesg.com/government-os-general-government-lane-almost-code-canonical/
- https://edukatesg.com/healthcare-os-general-healthcare-lane-almost-code-canonical/
- https://edukatesg.com/education-os-general-education-lane-almost-code-canonical/
- https://edukatesg.com/finance-os-general-finance-banking-lane-almost-code-canonical/
- https://edukatesg.com/transport-os-general-transport-transit-lane-almost-code-canonical/
- https://edukatesg.com/food-os-general-food-supply-chain-lane-almost-code-canonical/
- https://edukatesg.com/security-os-general-security-justice-rule-of-law-lane-almost-code-canonical/
- https://edukatesg.com/housing-os-general-housing-urban-operations-lane-almost-code-canonical/
- https://edukatesg.com/community-os-general-community-third-places-social-cohesion-lane-almost-code-canonical/
- https://edukatesg.com/energy-os-general-energy-power-grid-lane-almost-code-canonical/
- https://edukatesg.com/community-os-general-community-third-places-social-cohesion-lane-almost-code-canonical/
- https://edukatesg.com/water-os-general-water-wastewater-lane-almost-code-canonical/
- https://edukatesg.com/communications-os-general-telecom-internet-information-transport-lane-almost-code-canonical/
- https://edukatesg.com/media-os-general-media-information-integrity-narrative-coordination-lane-almost-code-canonical/
- https://edukatesg.com/waste-os-general-waste-sanitation-public-cleanliness-lane-almost-code-canonical/
- https://edukatesg.com/manufacturing-os-general-manufacturing-production-systems-lane-almost-code-canonical/
- https://edukatesg.com/logistics-os-general-logistics-warehousing-supply-routing-lane-almost-code-canonical/
- https://edukatesg.com/construction-os-general-construction-built-environment-delivery-lane-almost-code-canonical/
- https://edukatesg.com/science-os-general-science-rd-knowledge-production-lane-almost-code-canonical/
- https://edukatesg.com/religion-os-general-religion-meaning-systems-moral-coordination-lane-almost-code-canonical/
- https://edukatesg.com/finance-os-general-finance-money-credit-coordination-lane-almost-code-canonical/
- https://edukatesg.com/family-os-general-family-household-regenerative-unit-almost-code-canonical/