(Almost-Code Canonical · Unified Spec v1.0)
Secondary 1–2 is where many students look fine in Primary, then suddenly drift. Mechanically, this is a symbol-density jump + abstraction jump. This overlay formalises that in your BTT repair-router style.
BTT×SEC12_MATH — Lane Registry
[SITE]Domain: bukittimahtutor.comPlace: SGP.SG.BTLane: EDU.MATH.SEC12Role: Repair Router (Truncation + Stitching)Zoom: Z0–Z3v: v1.0
1) Sec 1–2 Math Lock
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z3×V×LOCK×BTT.SEC12.PURPOSE×v1.0: txt: "Sec 1–2 Math is the symbol-and-structure gateway: algebra + number structure + representation. BTT prevents collapse by repairing decoding, representation, and error loops before speed."[EDGE]binds_to: SGP.SG.BT×EDU×Z3×R×PROTOCOL×BTT.REPAIR_ROUTING×v1.0 SGP.SG.BT×EDU.MATH×Z3×S×PHASE×P0P3.MATH×v1.0
2) Sec 1–2 Capability Primitives (Below Topics)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×L×PRIM×SEC12.SYMBOL_DECODING×v1.0: def: "read algebra correctly; interpret '='; interpret brackets; interpret indices; interpret fractions as structure"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×L×PRIM×SEC12.ALGEBRA_FOUNDATION×v1.0: def: "treat letters as variables; manipulate expressions legally; maintain equivalence"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×L×PRIM×SEC12.NUMBER_STRUCTURE×v1.0: def: "real numbers, integers, factors/multiples, rational structure; sign discipline"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z1×L×PRIM×SEC12.REPRESENTATION_MODELS×v1.0: def: "translate word problems into structure; bar models evolve into algebraic models"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z1×L×PRIM×SEC12.ERROR_LOOP×v1.0: def: "detect and localise errors independently in multi-step algebra"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z2×L×PRIM×SEC12.TRANSFER_STARTER×v1.0: def: "start unfamiliar problems using decomposition templates"
3) Phase Definitions (Sec 1–2 Math)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z3×S×PHASE×P0P3.SEC12×v1.0: P3: - "algebra is natural language" - "starts problems independently" - "self-corrects signs/steps" - "handles novel word problems" P2: - "can do standard forms" - "brittle under word problems / mixed topics" P1: - "procedural memory; frequent sign errors" - "slow; uncertain; depends on hints" P0: - "cannot start; avoidance; shutdown"
4) Core Failure Mode Trace (Sec 1–2)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z3×R×TRACE×BTT.SEC12.FAILURE_MODE×v1.0: chain: - "Z0: weak decoding of symbols (brackets/fractions/indices/signs)" - "Z0: illegal algebra steps (equivalence broken)" - "Z1: representation fails (word problems not translated)" - "Z1: error loop externalised (needs teacher to locate mistakes)" - "Z2: mixed-topic transfer fails; student freezes" phase_drift: - "P2 primary illusion → P1 secondary fragility → P0 under exam speed" repair_route: - "truncate speed → rebuild decoding → rebuild equivalence → rebuild representation → restore error loop → restore transfer → add time last"
5) Sec 1–2 Collapse Clusters (BTT Operational)
Cluster A — Sign & Structure Careless (S0 + Number Structure)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×R×TRACE×BTT.SEC12.CLUSTER.SIGN_STRUCTURE×v1.0: symptoms: - "sign flips incorrectly" - "negative distribution errors" - "fraction sign mistakes" root: - "number structure + symbol decoding weak" fix: - "sign discipline protocol + micro-drills + forced verbalisation of structure"
Cluster B — Equivalence Break (Illegal Algebra)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×R×TRACE×BTT.SEC12.CLUSTER.EQUIVALENCE_BREAK×v1.0: symptoms: - "cancels terms incorrectly" - "moves terms with wrong operation" - "changes expression meaning" root: - "equivalence concept missing" fix: - "equivalence guards: 'same value' checks; reverse-substitution verification"
Cluster C — Word Problem Freeze (Representation)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z1×R×TRACE×BTT.SEC12.CLUSTER.WORD_FREEZE×v1.0: symptoms: - "cannot start" - "writes random equations" root: - "representation model missing" fix: - "decomposition templates: known/unknown/relations; convert language→structure"
Cluster D — Mixed Topics Collapse (Transfer Starter)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z2×R×TRACE×BTT.SEC12.CLUSTER.MIXED_TRANSFER×v1.0: symptoms: - "works in chapter practice, fails mixed tests" root: - "transfer starter missing" fix: - "mixed-topic sorting protocol + method-selection cues"
6) Sec 1–2 Math Repair Protocol (Strict Order)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z3×R×PROTOCOL×BTT.SEC12.REPAIR×v1.0: TRUNCATE: - "remove time pressure temporarily" - "stop long mixed worksheets until decoding stable" REBUILD_1 (S0 DECODING): - "notation reading" - "brackets/fractions/indices parsing" - "sign structure discipline" REBUILD_2 (EQUIVALENCE): - "what operations preserve equality" - "legal manipulation rules" - "verification habit (substitute/check)" REBUILD_3 (REPRESENTATION): - "word→structure templates" - "units/labels" - "diagram-to-equation conversion" REBUILD_4 (ERROR LOOP): - "error detection" - "error localisation" - "self-correction scripts" REBUILD_5 (TRANSFER STARTER): - "problem decomposition" - "mixed-topic method selection" TIME (ONLY AFTER STABLE): - "first-step speed" - "accuracy under mild time" SPEED LAST: - "increase velocity only when variance low"
7) Sec 1–2 Sensors (What BTT Measures)
[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×R×METRIC×BTT.SEC12.SENSOR.DECODE_ERROR×v1.0: def: "notation parsing error rate (brackets/fractions/indices/signs)"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z0×R×METRIC×BTT.SEC12.SENSOR.EQUIV_BREAK×v1.0: def: "illegal-step frequency (equivalence broken)"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z1×R×METRIC×BTT.SEC12.SENSOR.START_LATENCY×v1.0: def: "time to first meaningful equation/model on word problems"[NODE]SGP.SG.BT×EDU.MATH.SEC12×Z2×R×METRIC×BTT.SEC12.SENSOR.MIXED_TEST_DROP×v1.0: def: "drop rate from chapter practice to mixed test performance"
8) Canonical Lock Block (Sec 1–2)
[LOCKBLOCK:BTT.SEC12_MATH.v1.0]Sec 1–2 Math is the symbol gateway. Collapse usually starts at decoding + equivalence + representation.BTT repairs in order: truncate → decode → equivalence → representation → error loop → transfer starter → time → speed last.Target: P3 (independent start + self-correct + transfer), not P1 procedural 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/