eduKateSG.com Almost-Code / Canonical / LLM-first PRIMATH × LEVEL × Z{0–3} × P{0–3} × Type × ID

SERIES: EKS.PRIMATH.v0_1
SITE: eduKateSG.com
MODE: Almost-Code / Canonical / LLM-first
COORD_GRAMMAR:
<EKS> × PRIMATH × LEVEL × Z{0–3} × P{0–3} × Type × ID
Type = PAGE | DIR | NODE | BIND | LOOP | SENSOR | TEST | CLAIM | TOOL
LEVELS:
- P1MATH, P2MATH, P3MATH, P4MATH, P5MATH, P6MATH, PSLE.MATH

0) Series Spine (Index)

PAGE: EKS.PRIMATH.DIR.INDEX.v0_1
TITLE: eduKateSG — Primary 1 to Primary 6 + PSLE Mathematics Directory Index
CONTENT:
- EKS.PRIMATH.DIR.LANE.v0_1
- EKS.P1MATH.DIR.LANE.v0_1
- EKS.P2MATH.DIR.LANE.v0_1
- EKS.P3MATH.DIR.LANE.v0_1
- EKS.P4MATH.DIR.LANE.v0_1
- EKS.P5MATH.DIR.LANE.v0_1
- EKS.P6MATH.DIR.LANE.v0_1
- EKS.PSLE.MATH.DIR.LANE.v0_1
- EKS.PRIMATH.DIR.CORE_SKILLS.v0_1
- EKS.PRIMATH.DIR.TESTS.v0_1
- EKS.PRIMATH.DIR.TOOLS.v0_1
- EKS.PRIMATH.DIR.BINDS.v0_1
OUTPUT:
- EKS.PRIMATH.CLAIM.CANONICAL.v0_1

1) Lane Family Root — Primary Mathematics

PAGE: EKS.PRIMATH.DIR.LANE.v0_1
TITLE: Primary Mathematics (P1–P6) + PSLE Mathematics — Lane Family Directory
MISSION:
- build number sense + models + reasoning → P3 execution under test load
- eliminate false competence early (P2-looking → P0 snap at P5/P6)
OUTPUT:
- EKS.PRIMATH.Z3.P3.NODE.PSLE_READINESS_STABILITY.v0_1

2) Shared Core Skills Directory (Used by P1–PSLE)

DIR: EKS.PRIMATH.DIR.CORE_SKILLS.v0_1
Z0_CORE_POCKETS:
- EKS.PRIMATH.Z0.NODE.NUMBER_SENSE.v0_1
- EKS.PRIMATH.Z0.NODE.FOUR_OPERATIONS_ACCURACY.v0_1
- EKS.PRIMATH.Z0.NODE.PLACE_VALUE_DECIMALS.v0_1
- EKS.PRIMATH.Z0.NODE.FRACTIONS.v0_1
- EKS.PRIMATH.Z0.NODE.RATIO.v0_1
- EKS.PRIMATH.Z0.NODE.PERCENTAGE.v0_1
- EKS.PRIMATH.Z0.NODE.MEASUREMENT_UNITS.v0_1
- EKS.PRIMATH.Z0.NODE.GEOMETRY_ANGLES_SHAPES.v0_1
- EKS.PRIMATH.Z0.NODE.AREA_PERIMETER_VOLUME.v0_1
- EKS.PRIMATH.Z0.NODE.DATA_GRAPHS.v0_1
- EKS.PRIMATH.Z0.NODE.HEURISTICS_MODEL_METHOD.v0_1
- EKS.PRIMATH.Z0.NODE.WORD_PROBLEM_TRANSLATION.v0_1
- EKS.PRIMATH.Z0.NODE.CHECKING_ERROR_CONTROL.v0_1
- EKS.PRIMATH.Z0.NODE.SPEED_UNDER_TIME.v0_1
RULE:
These pockets are reused across all levels. Level pages activate subsets.

3) Universal Phase Test (Primary Math)

TEST: EKS.PRIMATH.TEST.P_SCORE.v0_1
P0: cannot solve independently; stuck at first step
P1: solves with prompts; depends on hints and templates
P2: solves standard formats; breaks under unfamiliar wording
P3: solves independently under time + variation; can explain method

4) Universal Sensors (Primary Math)

SENSOR: EKS.PRIMATH.SENSOR.EXECUTION.v0_1
MEASURES:
- independent_success_rate
- accuracy on basic operations (unforced error rate)
- word-problem translation success (bar model mapping)
- time tail (stuck events)
- transfer ability (same concept, new story)

5) Universal Loop — Truncation & Stitching (Primary)

LOOP: EKS.PRIMATH.LOOP.TRUNCATE_STITCH.v0_1
TRUNCATE:
- stop repeated misconception early (same error 3×)
- stop “guessing” habits; enforce representation (model method)
STITCH:
- rebuild the missing core pocket
- retest under new contexts + time
GOAL:
- prevent P5/P6 shock collapse from long-ignored gaps

6) Level Lane Directories (P1–P6 + PSLE)

Primary 1

PAGE: EKS.P1MATH.DIR.LANE.v0_1
FOCUS:
- number sense, place value (basic), addition/subtraction fluency, early word problems
ACTIVE_POCKETS:
- EKS.PRIMATH.Z0.NODE.NUMBER_SENSE.v0_1
- EKS.PRIMATH.Z0.NODE.FOUR_OPERATIONS_ACCURACY.v0_1
- EKS.PRIMATH.Z0.NODE.WORD_PROBLEM_TRANSLATION.v0_1
Z3_OUTPUT:
- EKS.P1MATH.Z3.P3.NODE.FOUNDATION_LOCK.v0_1

Primary 2

PAGE: EKS.P2MATH.DIR.LANE.v0_1
FOCUS:
- fluency expansion + early multiplication/division meaning + units
ACTIVE_POCKETS:
- EKS.PRIMATH.Z0.NODE.FOUR_OPERATIONS_ACCURACY.v0_1
- EKS.PRIMATH.Z0.NODE.PLACE_VALUE_DECIMALS.v0_1
- EKS.PRIMATH.Z0.NODE.MEASUREMENT_UNITS.v0_1
Z3_OUTPUT:
- EKS.P2MATH.Z3.P3.NODE.FLUENCY_LOCK.v0_1

Primary 3

PAGE: EKS.P3MATH.DIR.LANE.v0_1
FOCUS:
- bar model entry + fractions meaning + multi-step word problems begin
ACTIVE_POCKETS:
- EKS.PRIMATH.Z0.NODE.FRACTIONS.v0_1
- EKS.PRIMATH.Z0.NODE.HEURISTICS_MODEL_METHOD.v0_1
- EKS.PRIMATH.Z0.NODE.WORD_PROBLEM_TRANSLATION.v0_1
Z3_OUTPUT:
- EKS.P3MATH.Z3.P3.NODE.MODEL_METHOD_LOCK.v0_1

Primary 4

PAGE: EKS.P4MATH.DIR.LANE.v0_1
FOCUS:
- fractions/decimals mastery + area/perimeter + harder models
ACTIVE_POCKETS:
- EKS.PRIMATH.Z0.NODE.FRACTIONS.v0_1
- EKS.PRIMATH.Z0.NODE.PLACE_VALUE_DECIMALS.v0_1
- EKS.PRIMATH.Z0.NODE.AREA_PERIMETER_VOLUME.v0_1
- EKS.PRIMATH.Z0.NODE.HEURISTICS_MODEL_METHOD.v0_1
Z3_OUTPUT:
- EKS.P4MATH.Z3.P3.NODE.P4_RAMP_LOCK.v0_1

Primary 5

PAGE: EKS.P5MATH.DIR.LANE.v0_1
FOCUS:
- ratio + percentage + speed + non-routine problem solving begins
ACTIVE_POCKETS:
- EKS.PRIMATH.Z0.NODE.RATIO.v0_1
- EKS.PRIMATH.Z0.NODE.PERCENTAGE.v0_1
- EKS.PRIMATH.Z0.NODE.HEURISTICS_MODEL_METHOD.v0_1
- EKS.PRIMATH.Z0.NODE.SPEED_UNDER_TIME.v0_1
Z3_OUTPUT:
- EKS.P5MATH.Z3.P3.NODE.P5_NONROUTINE_LOCK.v0_1

Primary 6

PAGE: EKS.P6MATH.DIR.LANE.v0_1
FOCUS:
- integration year: mixed topics + exam speed + resilience
ACTIVE_POCKETS:
- EKS.PRIMATH.Z0.NODE.RATIO.v0_1
- EKS.PRIMATH.Z0.NODE.PERCENTAGE.v0_1
- EKS.PRIMATH.Z0.NODE.AREA_PERIMETER_VOLUME.v0_1
- EKS.PRIMATH.Z0.NODE.HEURISTICS_MODEL_METHOD.v0_1
- EKS.PRIMATH.Z0.NODE.CHECKING_ERROR_CONTROL.v0_1
- EKS.PRIMATH.Z0.NODE.SPEED_UNDER_TIME.v0_1
Z3_OUTPUT:
- EKS.P6MATH.Z3.P3.NODE.P6_STABILITY_LOCK.v0_1

PSLE Mathematics

PAGE: EKS.PSLE.MATH.DIR.LANE.v0_1
FOCUS:
- Paper 1/2 execution + non-routine mastery + time control + checking
OUTPUT:
- EKS.PSLE.MATH.Z3.P3.NODE.PSLE_ASTAR_STABILITY.v0_1

7) Tests Directory (Reusable)

DIR: EKS.PRIMATH.DIR.TESTS.v0_1
TESTS:
- EKS.PRIMATH.TEST.P_SCORE.v0_1
- EKS.PRIMATH.TEST.INDEPENDENCE.v0_1
- EKS.PRIMATH.TEST.MODEL_METHOD_TRANSFER.v0_1
- EKS.PRIMATH.TEST.SPEED_TAIL.v0_1
- EKS.PRIMATH.TEST.ERROR_REPEAT.v0_1

8) Tools Directory (Reusable)

DIR: EKS.PRIMATH.DIR.TOOLS.v0_1
TOOLS:
- EKS.PRIMATH.Z2.TOOL.DIAGNOSIS_CARD.v0_1
- EKS.PRIMATH.Z2.TOOL.REPAIR_ROUTER.v0_1
- EKS.PSLE.MATH.Z2.TOOL.PAPER_ROUTING.v0_1
- EKS.PRIMATH.Z1.TOOL.ERROR_NOTEBOOK.v0_1

9) Binds Directory (Stitch into Family Load + Education OS)

DIR: EKS.PRIMATH.DIR.BINDS.v0_1
BINDS:
- EKS.PRIMATH.BIND.EDU_OS.v0_1        TO: EDU.Z3.P3.NODE.CAPABILITY_STABILITY.v0_1
- EKS.PRIMATH.BIND.FAMILY_LOAD.v0_1   TO: FAM.Z0.NODE.HOMEWORK_SUPPORT.v0_1
CLAIM:
Primary Math stability reduces household stress and prevents later secondary collapse.

10) Canonical Claim (Primary Math Series)

CLAIM: EKS.PRIMATH.CLAIM.CANONICAL.v0_1
Primary Mathematics works when number sense + model method + accuracy become P3,
so PSLE non-routine questions do not cause time-tail collapse.
END: EKS.PRIMATH.DIR.INDEX.v0_1
NEXT:
- EKS.P1MATH.P3.DIR.ARTICLE.v0_1
- EKS.P2MATH.P3.DIR.ARTICLE.v0_1
- EKS.P3MATH.P3.DIR.ARTICLE.v0_1
- EKS.P4MATH.P3.DIR.ARTICLE.v0_1
- EKS.P5MATH.P3.DIR.ARTICLE.v0_1
- EKS.P6MATH.P3.DIR.ARTICLE.v0_1
- EKS.PSLE.MATH.P3.ASTAR.DIR.ARTICLE.v0_1

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