BTT.SEC34_MATH — BukitTimahTutor.com Secondary 3–4 (E-Math) Overlay

(Transfer + Time + Stability · Almost-Code Canonical · Unified Spec v1.0)

Sec 3–4 E-Math is where many students “know the content” but still lose marks because the exam primarily stresses transfer under variation + time compression + error loop stability.


BTT×SEC34_MATH — Lane Registry

[SITE]
Domain: bukittimahtutor.com
Place: SGP.SG.BT
Lane: EDU.MATH.SEC34 (E-Math)
Role: Repair Router (Truncation + Stitching)
Zoom: Z0–Z3
v: v1.0

1) Sec 3–4 E-Math Lock

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z3×V×LOCK×BTT.SEC34.PURPOSE×v1.0:
txt: "Sec 3–4 E-Math is a transfer-and-time exam. BTT restores stable flight by repairing transfer, error loops, and time control before adding speed."
[EDGE]
binds_to:
SGP.SG.BT×EDU.EXAM×Z3×R×PROTOCOL×BTT.EXAM.ROUTE×v1.0
SGP.SG.BT×EDU.MATH×Z3×S×PHASE×P0P3.MATH×v1.0

2) Sec 3–4 E-Math Core Primitives (Below Topics)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z1×L×PRIM×SEC34.MULTI_STEP_CHAIN_CONTROL×v1.0:
def: "execute long multi-step chains with low error accumulation"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×L×PRIM×SEC34.METHOD_SELECTION×v1.0:
def: "choose correct method under mixed-topic variation"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×L×PRIM×SEC34.TRANSFER_VARIATION×v1.0:
def: "apply principles when question format changes"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z1×L×PRIM×SEC34.ERROR_LOOP_STABILITY×v1.0:
def: "detect + localise errors fast enough to prevent time collapse"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×L×PRIM×SEC34.TIME_BUDGETING×v1.0:
def: "allocate time per question; avoid end-collapse"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×L×PRIM×SEC34.STRESS_STABILITY×v1.0:
def: "stay cognitively stable under exam stakes"

3) Sec 3–4 E-Math Phases (P0–P3)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z3×S×PHASE×P0P3.SEC34×v1.0:
P3:
- "selects method correctly on mixed papers"
- "low error accumulation on long chains"
- "stable under time; finishes"
- "recovers fast after slips"
P2:
- "strong in topical practice"
- "brittle on mixed papers; wrong method occasionally"
- "time pressure creates careless errors"
P1:
- "partial competence; high variance"
- "panic under time; end-collapse common"
- "error loop externalised"
P0:
- "blanking; avoidance; shutdown"

4) Sec 3–4 Failure Mode Trace (Required)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z3×R×TRACE×BTT.SEC34.FAILURE_MODE×v1.0:
chain:
- "Z1: long-chain errors accumulate (weak chain control)"
- "Z2: mixed-topic variation → wrong method selection"
- "Z2: transfer break → stuck mid-paper"
- "Z2: time budgeting fails → end-collapse"
- "Z2: stress spike → careless errors + blanking"
phase_drift:
- "P2 topical illusion → P1 mixed-paper fragility → P0 under high stakes"
repair_route:
- "truncate speed → rebuild method selection + transfer ladder → rebuild error loop → rebuild time budget → reintroduce speed last"

5) E-Math Collapse Clusters (BTT Operational Diagnosis)

Cluster A — Mixed Paper Wrong Method (S4)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×R×TRACE×BTT.SEC34.CLUSTER.WRONG_METHOD×v1.0:
symptoms:
- "solves using wrong topic"
- "cannot see which chapter applies"
root:
- "method selection + principle extraction missing"
fix:
- "method-selection keys + mixed-topic sorting + principle-first training"

Cluster B — Long Chain Bleed (S3 + chain control)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z1×R×TRACE×BTT.SEC34.CLUSTER.LONG_CHAIN_BLEED×v1.0:
symptoms:
- "small slip ruins whole question"
- "algebra mistakes mid-way"
root:
- "error localisation too slow; chain control weak"
fix:
- "checkpointing + micro-verification + fast localisation scripts"

Cluster C — End-of-Paper Collapse (S5 + S6)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×R×TRACE×BTT.SEC34.CLUSTER.END_COLLAPSE×v1.0:
symptoms:
- "rushes last 20 minutes"
- "leaves questions blank"
root:
- "time budgeting missing; stress stability weak"
fix:
- "time allocation protocol + controlled timed sets + speed-last"

Cluster D — “Careless” Spike Under Time (S0 + S6)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×R×TRACE×BTT.SEC34.CLUSTER.CARELESS_UNDER_TIME×v1.0:
symptoms:
- "careless errors appear only in tests"
root:
- "S0 precision collapses under load; stability weak"
fix:
- "precision rituals under mild time; load shaping"

6) Sec 3–4 E-Math Repair Protocol (Strict Order)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z3×R×PROTOCOL×BTT.SEC34.REPAIR×v1.0:
TRUNCATE:
- "stop full-paper timed drills temporarily"
- "remove speed pressure; restore confidence via control"
REBUILD_1 METHOD SELECTION:
- "mixed-topic sorting"
- "principle extraction"
- "method keys (what this question is really asking)"
REBUILD_2 TRANSFER LADDER:
- "controlled variations"
- "twist question training"
REBUILD_3 ERROR LOOP + CHAIN CONTROL:
- "checkpointing"
- "fast error localisation"
- "micro-verification scripts"
REBUILD_4 TIME BUDGET:
- "time allocation per question"
- "skip/return strategy"
- "end-collapse prevention"
STABILITY:
- "panic prevention"
- "recovery after slip"
- "confidence via competence"
SPEED LAST:
- "increase pace only after variance is low"

7) Sec 3–4 E-Math Sensors (What BTT Measures)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×R×METRIC×BTT.SEC34.SENSOR.METHOD_ERROR×v1.0:
def: "wrong-method chosen rate on mixed questions"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z1×R×METRIC×BTT.SEC34.SENSOR.CHAIN_BLEED×v1.0:
def: "probability a small slip ruins the whole solution"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×R×METRIC×BTT.SEC34.SENSOR.END_COLLAPSE×v1.0:
def: "accuracy drop / blanks in last segment"
[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z2×R×METRIC×BTT.SEC34.SENSOR.CARELESS_UNDER_TIME×v1.0:
def: "careless error rate increase under timed load"

8) Grade Outcome Locks (O-Level Meaning)

[NODE]
SGP.SG.BT×EDU.MATH.SEC34×Z3×V×LOCK×BTT.SEC34.A1_MEANING×v1.0:
txt: "Sec 3–4 A1 means P3: robust method selection + transfer + low error bleed + stable time control."

9) Canonical Copy/Paste Lock Block (Sec 3–4 E-Math)

[LOCKBLOCK:BTT.SEC34_MATH.v1.0]
Sec 3–4 E-Math is mixed-paper transfer + time control.
BTT repairs: truncate timed overload → method selection → transfer ladder → error loop+chain control → time budget → stability → speed last.
Target: P3 (robust under mixed papers), not P2 topical illusion.

NEXT (pick one)

  1. NEXT: BTT.ENGLISH — English lane overlay (vocab/reading/writing)
  2. NEXT: BTT.PARENT_PROTOCOL — Parent OS tuned for Bukit Timah (load/meaning/stability)
  3. NEXT: BTT.SEC34_AMATH_EXAM — A-Math exam failure signatures & repair routing
  4. NEXT: BTT.SEC_MATH_FULL_STACK — unify PSLE→Sec12→Sec34→A-Math into one mega edge map

Reply Next and I’ll proceed with BTT.ENGLISH by default.

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