DOCUMENT_ID: EDKSG.ADDMATH.G2vsG3.MATRIX.CTRLTOWER.v1.0
DOCUMENT_TYPE: Comparative Technical Documentation / Runtime Matrix / Control Tower
DOMAIN_ROOT: PlanetOS -> CivilisationOS -> EducationOS -> MathOS -> AdditionalMathematicsOS
SITE_BIND: eduKateSG
COMPARISON_SCOPE:
  - G2 Additional Mathematics Runtime
  - G3 Additional Mathematics Runtime
  - Side-by-side corridor logic
  - Failure and repair divergence
  - Upshift / route implications
STATUS: Canonical Comparative Spec
MODE: Full Almost-Code
VERSION_LOCK: Forward-only
TITLE:
  G2 versus G3 Additional Mathematics Runtime Matrix by eduKateSG
CLASSICAL_BASELINE:
  G2 and G3 Additional Mathematics are two official subject-level corridors inside Singapore’s Full Subject-Based Banding system.
  They belong to the same subject family, but they do not perform the same corridor function.
ONE_SENTENCE_FUNCTION:
  G2 vs G3 Additional Mathematics is not merely a difference in difficulty;
  it is a difference in corridor geometry, symbolic compression load, repair law, and future-route width.

SECTION_01: OFFICIAL_COMPARISON_LOCK
OFFICIAL_G2_LOCK:
  SYLLABUS_CODE = K232
  ASSUMES = G2 Mathematics
  PURPOSE = prepare students adequately for G3 Additional Mathematics
  STRANDS = Algebra / Geometry and Trigonometry / Calculus
  AO_WEIGHT = 50 / 40 / 10
  PAPERS = 2
  PAPER_DURATION = 1h45 + 1h45
  CALCULATOR = allowed in both papers
OFFICIAL_G3_LOCK:
  SYLLABUS_CODE = K341
  ASSUMES = G3 Mathematics
  PURPOSE = higher studies in mathematics + support learning in other subjects, especially sciences
  STRANDS = Algebra / Geometry and Trigonometry / Calculus
  AO_WEIGHT = 35 / 50 / 15
  PAPERS = 2
  CALCULATOR = allowed in both papers
OFFICIAL_READING:
  G2 Add Math = bridge corridor
  G3 Add Math = stronger direct corridor

SECTION_02: COMPARATIVE_THESIS
CANONICAL_THESIS:
  G2 and G3 Additional Mathematics share a mathematical family,
  but they are not the same runtime.
G2_RUNTIME_IDENTITY:
  bridge-and-uplift corridor
G3_RUNTIME_IDENTITY:
  direct high-compression symbolic corridor
TRUE_DIFFERENCE:
  not simply easier vs harder
  but:
    - narrower vs wider symbolic load
    - more scaffolded vs more direct compression
    - viability-first vs performance-first
    - bridge-readiness vs higher-transfer readiness
PUBLIC_MISREADS:
  MISREAD-01:
    G2 = weak version of G3
  CORRECTION:
    G2 is a different corridor geometry with a different repair law
  MISREAD-02:
    G3 = just more topics
  CORRECTION:
    G3 is a stronger symbolic compression environment with higher transfer and reasoning burden

SECTION_03: MASTER_COMPARISON_MATRIX
COMPARE:
  CATEGORY: Entry Assumption
    G2 = assumes G2 Mathematics
    G3 = assumes G3 Mathematics
  CATEGORY: Official Direction
    G2 = prepares for G3 Additional Mathematics
    G3 = prepares for stronger upper-level mathematics/science support
  CATEGORY: Runtime Object
    G2 = make symbolic carrier viable
    G3 = make symbolic carrier robust under compression
  CATEGORY: Teaching Priority
    G2 = build thickness
    G3 = build performance and transfer
  CATEGORY: Emotional Risk
    G2 = fear at abstraction threshold
    G3 = fear under mixed and timed compression
  CATEGORY: Main Hidden Danger
    G2 = under-building or premature overload
    G3 = false fluency under high load
  CATEGORY: Future Route Logic
    G2 = preserve and widen route
    G3 = accelerate and deepen route

SECTION_04: PLANETOS_BINDING_COMPARISON
PLANETOS_SHARED_COMPONENTS:
  PlanetOS
  CivilisationOS
  EducationOS
  MathOS
  LanguageOS
  VocabularyOS
  FamilyOS
  EmotionOS
  MemoryArchiveOS
  StandardsMeasurementOS
  LogisticsOS
  EnergyOS
  CultureOS
  CareerOS
  TechnologyOS
PRIMARY_DIFFERENTIAL:
  G2:
    strongest supporting organs =
      EmotionOS
      FamilyOS
      MemoryArchiveOS
      FenceOS-style pacing inside EducationOS
    because bridge integrity depends heavily on fear buffering and sequence control
  G3:
    strongest supporting organs =
      StandardsMeasurementOS
      MemoryArchiveOS
      Time-conditioning inside LogisticsOS
      CareerOS
    because direct-lane integrity depends heavily on transfer, speed, and future route projection

SECTION_05: CIVOS_BINDING_COMPARISON
CIVOS_SHARED_STACK:
  Lattice
  VeriWeft
  LedgerOfInvariants
  ChronoFlight
  SignalGate
  FenceOS
  AVOO
  ConeOfPossibility
  RepairCorridor
  DriftVsRepairLaw
  OnePanelControlTower
DIFFERENTIAL_READING:
  G2:
    Lattice focus = viability states
    FenceOS focus = prevent abstraction trauma
    Repair focus = restore confidence + legality + sequence
    ConeOfPossibility focus = preserve future options
  G3:
    Lattice focus = transfer and time-safe performance states
    FenceOS focus = maintain load without overload
    Repair focus = remove hidden algebra rot + increase mixed survivability
    ConeOfPossibility focus = widen high-math/science route width

SECTION_06: CODE_REGISTRY
ZOOM_CODES:
  Z0 = student cognition
  Z1 = home / family system
  Z2 = tutor / tuition environment
  Z3 = school / assessment institution
  Z4 = post-secondary routes
  Z5 = national mathematics corridor
  Z6 = civilisation-scale mathematics continuity
PHASE_CODES:
  P0 = collapse / non-viable
  P1 = guided survival
  P1.5 = bridge phase emerging
  P2 = routine competence
  P3 = robust transfer within lane
  P4 = bounded frontier extension
VALENCE_CODES:
  +LATT = widening
  0LATT = unstable but viable
  -LATT = narrowing / drift
CORRIDOR_CODES:
  C.REPAIR
  C.REBUILD
  C.BRIDGE
  C.OPEN
  C.NARROW
  C.MIXED
  C.UPSHIFT
  C.ELITE

SECTION_07: PHASE_INTERPRETATION_DIFFERENCE
G2_PHASE_READING:
  P0 = cannot sustain symbolic load
  P1 = follows examples, collapses on variation
  P1.5 = bridge beginning to hold
  P2 = routine solve stable
  P3 = viable mixed solve within G2 lane, possible upshift candidate
  P4 = rare surplus, not normal target
G3_PHASE_READING:
  P0 = algebra/cognition collapse under Add Math load
  P1 = heavy guidance still needed
  P2 = routine forms okay, mixed transfer weak
  P3 = robust mixed and timed survivability
  P4 = exceptional high-surplus mathematical corridor
KEY_DIFFERENCE:
  G2 P3 = successful bridge-readiness state
  G3 P3 = robust high-compression operating state

SECTION_08: SIGNAL_GATE_COMPARISON
INPUT_VECTOR_SHARED:
  ALG_BASE
  NOTATION_DISCIPLINE
  STEP_RETENTION
  GRAPH_LINK
  TRIG_CONFIDENCE
  CALCULUS_LEGALITY
  METHOD_SELECTION
  MIXED_TRANSFER
  TIME_SURVIVAL
  ERROR_VISIBILITY
  PANIC_LOAD
  HOME_SUPPORT
  REVIEW_INTEGRITY
G2_SIGNAL_GATE:
  IF ALG_BASE low AND PANIC_LOAD high
    -> -LATT / C.REBUILD
  IF symbolic tolerance rising but still fragile
    -> 0LATT / C.BRIDGE
  IF routine + early mixed transfer stable
    -> +LATT / C.OPEN
  IF P3 stable and surplus emerging
    -> C.UPSHIFT candidate
G3_SIGNAL_GATE:
  IF algebra weakness hidden and mixed transfer low
    -> -LATT / C.REPAIR
  IF routine performance acceptable but timing or variation weak
    -> 0LATT / C.MIXED
  IF mixed transfer + timing + error visibility stable
    -> +LATT / C.OPEN
  IF self-propelled surplus genuine
    -> C.ELITE

SECTION_09: FENCEOS_COMPARISON
G2_FENCEOS:
  function = protect from abstraction shock
  main danger = too much too early
  underfence risk = false belief that student is progressing
  overfence risk = fear-conditioning and withdrawal
G3_FENCEOS:
  function = keep high symbolic load buildable
  main danger = hidden weakness breaking under speed and variation
  underfence risk = comfort masks fragility
  overfence risk = burnout and identity damage
MASTER_LAW:
  G2 requires finer control of step-size.
  G3 requires finer control of density and time pressure.

SECTION_10: LEDGER_OF_INVARIANTS_COMPARISON
SHARED_INVARIANTS:
  INV-01 = line-to-line algebraic equivalence must hold
  INV-02 = symbols retain meaning
  INV-03 = signs, brackets, restrictions, and notation cannot silently drift
  INV-04 = formula use must be lawful and conditional
  INV-05 = graph, algebra, and verbal meaning must reconcile
  INV-06 = trig manipulation must be legal
  INV-07 = calculus operators must remain valid
  INV-08 = working must remain mark-survivable
  INV-09 = student must know when a method applies
  INV-10 = confidence must not outrun ownership
DIFFERENTIAL_LEDGER_RISK:
  G2 = borrowed steps survive longer before failing, so false comfort is common
  G3 = ledger breaches are punished faster by mixed, proof-like, or timed pressure

SECTION_11: VERIWEFT_DIFFERENCE
VERIWEFT_SHARED_SENSORS:
  illegal cancellation
  sign drift
  bracket loss
  formula misuse
  inverse misunderstanding
  graph-language mismatch
  trig manipulation breach
  derivative/integral misuse
  interval omission
  copied form without meaning
G2_VWEFT_FAILURE_PATTERN:
  looks okay on guided exercises
  breaks on modest variation
G3_VWEFT_FAILURE_PATTERN:
  may look strong on familiar work
  collapses on mixed or time-compressed papers
MASTER_VWEFT_LAW:
  same legality engine
  different penalty speed

SECTION_12: TOPIC_ENGINE_DIFFERENCE
TOPIC_SHARED_BACKBONE:
  Algebra
  GeometryAndTrigonometry
  Calculus
TOPIC_DIFFERENTIAL_READING:
  G2:
    topic treatment = smaller abstraction steps
    calculus role = entry-level lawful operator installation
    trigonometry role = build comfort and expression control
    algebra role = clean syntax and confidence restoration
  G3:
    topic treatment = denser manipulation and stronger transfer demand
    calculus role = stable operator use + application under load
    trigonometry role = flexible identity use and equation handling
    algebra role = high-compression core engine for whole subject
TOPIC_RUNTIME_LAW:
  In G2, topic mastery means viability under symbolic load.
  In G3, topic mastery means lawful transfer under symbolic load.

SECTION_13: ASSESSMENT_RUNTIME_COMPARISON
OFFICIAL_ASSESSMENT_READING:
  G2:
    AO1 heavier
    greater relative emphasis on standard technique security
  G3:
    AO2 and AO3 relatively heavier
    greater relative emphasis on application, reasoning, and proof-like communication
EDUKATESG_RUNTIME_READING:
  G2:
    stronger need to stabilise standard method ownership before widening variation
  G3:
    stronger need to stress method selection, adaptation, justification, and mixed-question survival
ASSESSMENT_WARNING:
  same subject family does not mean same exam feel

SECTION_14: CHRONOFLIGHT_COMPARISON
TIME_SLICES_SHARED:
  T0 = diagnostic
  T1 = onboarding
  T2 = consolidation
  T3 = mixed integration
  T4 = timed conditioning
  T5 = pre-exam compression
  T6 = exam execution
  T7 = post-exam route transition
G2_TIME_LAW:
  if bridge-building is delayed too long,
  fear accumulates before thickness forms
G3_TIME_LAW:
  if mixed transfer and time-conditioning are delayed too long,
  narrow-cone exam pressure exposes hidden weakness brutally
MASTER_NEAR_NODE_COMPRESSION:
  closer to exam:
    repair time decreases
    bluff cost rises
    exit apertures close

SECTION_15: CONE_OF_POSSIBILITY_COMPARISON
G2_CONE:
  protects and reopens future mathematical possibility
G3_CONE:
  expands stronger mathematics and science possibility more directly
G2_WIDENING_EFFECT:
  - abstraction no longer automatically rejected
  - student may become bridge-ready for stronger math
  - dignity and self-belief preserved
G3_WIDENING_EFFECT:
  - stronger H2/quantitative route posture
  - stronger science support
  - stronger symbolic identity and endurance
DEEP_LAW:
  G2 mainly prevents premature closure of the cone.
  G3 more aggressively expands the cone.

SECTION_16: FAILURE_TRACE_COMPARISON
G2_FAILURE_TRACE:
  01 base weakness enters
  02 symbolic load rises
  03 student copies to survive
  04 abstraction threshold triggers fear
  05 avoidance grows
  06 variation fails
  07 timing collapses
  08 identity damage narrows route
G3_FAILURE_TRACE:
  01 hidden algebra rot survives early stages
  02 symbolic density rises
  03 student looks fluent through imitation
  04 mixed questions expose weakness
  05 timing leaks
  06 fear + frustration enter
  07 performance amplitude swings
  08 corridor narrows
MASTER_FAILURE_DIFFERENCE:
  G2 fails more by overload before thickness.
  G3 fails more by hidden fragility under compression.

SECTION_17: COLLAPSE_MODES_COMPARISON
SHARED_COLLAPSE_MODES:
  SLOW_ATTRITION
  FAST_COLLAPSE
  AMPLITUDE_COLLAPSE
G2_COLLAPSE_BIAS:
  FAST_COLLAPSE more common when pacing is wrong
G3_COLLAPSE_BIAS:
  AMPLITUDE_COLLAPSE more common when borrowed fluency masks weakness
COLLAPSE_DIAGNOSTIC_NOTE:
  a G2 student may look weak early but recover strongly
  a G3 student may look strong early but collapse late

SECTION_18: BREACH_CLASS_MATRIX
G2_BREACHES:
  BR-G2-01 = Base Mathematics Contamination
  BR-G2-02 = Compression Shock
  BR-G2-03 = Sequential-Memory Dropout
  BR-G2-04 = Formula Ritualism
  BR-G2-05 = Trig Fear
  BR-G2-06 = Calculus Fear Entry
  BR-G2-07 = Emotional Avoidance
  BR-G2-08 = Overprotection / under-challenge
  BR-G2-09 = Premature G3-style overload
G3_BREACHES:
  BR-G3-01 = Base Algebra Rot
  BR-G3-02 = Hidden Symbolic Compression Overload
  BR-G3-03 = Trig Identity Blindness
  BR-G3-04 = Graph-Equation Disconnect
  BR-G3-05 = Calculus Without Meaning
  BR-G3-06 = Method-Selection Blindness
  BR-G3-07 = Time-to-Node Collapse
  BR-G3-08 = Overconfidence Detached from Ownership
BREACH_PRIORITY_LAW:
  G2:
    repair viability first
  G3:
    repair legality and transfer first

SECTION_19: REPAIR_CORRIDOR_COMPARISON
G2_REPAIR_SEQUENCE:
  reduce fear
  isolate breach
  restore legality
  shrink step-size
  force retrieval
  widen slowly
  add mixed bridges
  add timing later
  stabilise identity
G3_REPAIR_SEQUENCE:
  isolate hidden algebra/trig/calculus breach
  restore legality
  increase variation
  force self-correction
  add mixed packets
  add timing and pressure
  recalibrate confidence to reality
  reopen projection corridor
MASTER_REPAIR_LAW:
  G2 repair = thickness before speed
  G3 repair = ownership before speed, then speed under variation

SECTION_20: UPSHIFT_AND_ROUTE_LOGIC
G2_TO_G3_UPSHIFT_SIGNALS:
  U1 = algebra grammar stable
  U2 = multi-step retention stable
  U3 = fear no longer dominates abstraction
  U4 = mixed-task survivability emerging
  U5 = error visibility active
  U6 = homework integrity high
UPSIGHT_WARNING:
  upshift too early = bridge fracture
  upshift too late = underprojection and wasted surplus
G3_HIGH_ROUTE_SIGNALS:
  H1 = strong mixed-topic resilience
  H2 = time-safe lawful work
  H3 = adaptive method selection
  H4 = explanation and proof tolerance
  H5 = self-propelled review habits
DEAD_END_CORRECTION:
  G2 is not automatically a dead end.
  G3 is not automatically secure.
  Both depend on actual runtime quality.

SECTION_21: ONE_PANEL_COMPARATIVE_CONTROL_TOWER
PANEL_ID: CT.ADDMATH.G2vsG3.01
FIELDS:
  STUDENT_ID
  CURRENT_LEVEL = G2 / G3
  CURRENT_PHASE
  CURRENT_VALENCE
  CURRENT_CORRIDOR
  UPSHIFT_POTENTIAL
  PRIMARY_BREACH
  SECONDARY_BREACH
  NEXT_ACTION
METRICS:
  M1  Algebra Integrity
  M2  Notation Precision
  M3  Symbol Retention
  M4  Graph-Function Link
  M5  Trig Flexibility
  M6  Calculus Legality
  M7  Method Selection
  M8  Mixed Transfer
  M9  Time Survival
  M10 Error Visibility
  M11 Emotional Stability
  M12 Homework Integrity
  M13 Home-System Support
ALERTS:
  A1  Compression Shock
  A2  Hidden Algebra Rot
  A3  Formula Ritualism
  A4  Mixed-Paper Fragility
  A5  Panic Load High
  A6  Confidence Detached from Ownership
  A7  Bridge Ready
  A8  Elite Corridor Candidate
ROUTE_ACTIONS:
  ACT-REBUILD
  ACT-BRIDGE
  ACT-CONSOLIDATE
  ACT-MIX
  ACT-TIME
  ACT-UPSHIFT
  ACT-ELITE

SECTION_22: DECISION_ENGINE
DECISION_RULES:
  IF CURRENT_LEVEL = G2
     AND PHASE in {P0, P1}
     AND PANIC_LOAD high
     -> ACT-REBUILD
  IF CURRENT_LEVEL = G2
     AND PHASE in {P1.5, P2}
     AND symbolic retention rising
     -> ACT-BRIDGE
  IF CURRENT_LEVEL = G2
     AND PHASE = P3
     AND UPSHIFT_POTENTIAL true
     -> ACT-UPSHIFT evaluation
  IF CURRENT_LEVEL = G3
     AND routine okay
     AND mixed transfer weak
     -> ACT-MIX
  IF CURRENT_LEVEL = G3
     AND mixed transfer okay
     AND timing weak
     -> ACT-TIME
  IF CURRENT_LEVEL = G3
     AND P3 stable
     AND surplus genuine
     -> ACT-ELITE evaluation

SECTION_23: PARENT_AND_TUTOR_INTERPRETATION_LAYER
FOR_PARENTS:
  G2:
    ask whether the bridge is thickening the student
    not whether the student looks instantly impressive
  G3:
    ask whether the student truly owns the work
    not whether the student can imitate familiar worksheets
FOR_TUTORS:
  G2:
    do not confuse kindness with softness
    do not confuse scaffolding with endless dependency
  G3:
    do not confuse speed with mastery
    do not confuse high school marks with transfer readiness
MASTER_INTERPRETATION_LAW:
  choose the corridor that grows the real carrier,
  not the badge that flatters the ego.

SECTION_24: OUTPUT_COMPARISON
G2_TRUE_OUTPUTS:
  O1 cleaner symbolic grammar
  O2 stronger abstraction tolerance
  O3 restored or preserved mathematical dignity
  O4 better viability under Add Math load
  O5 widened future cone
  O6 possible upshift readiness
G3_TRUE_OUTPUTS:
  O1 stronger grades
  O2 lawful mixed-topic transfer
  O3 stronger time-safe symbolic performance
  O4 higher science/mathematics support value
  O5 stronger cognitive endurance
  O6 wider direct quantitative route cone
NON_OUTPUTS_FOR_BOTH:
  fake confidence
  worksheet theatre
  parent-pleasing illusion
  copied fluency mistaken for mathematical ownership

SECTION_25: CANONICAL_SUMMARY
CANONICAL_SUMMARY:
  G2 Additional Mathematics and G3 Additional Mathematics are two official lanes in the same subject family,
  but they run different corridor geometries.
  G2 Add Math by eduKateSG
    = bridge-and-uplift runtime
    = aims to make a thinner symbolic carrier viable and widen future routes
  G3 Add Math by eduKateSG
    = direct high-compression runtime
    = aims to make a stronger symbolic carrier robust under mixed and timed pressure
MASTER_SUCCESS_LAW:
  G2 succeeds when:
    fear stays below collapse threshold
    legality is preserved
    symbolic thickness increases
    the bridge remains stable long enough for widening
  G3 succeeds when:
    legality is preserved
    hidden weakness is removed
    transfer across topics becomes stable
    timing no longer destroys structure
MASTER_FAILURE_LAW:
  G2 fails when abstraction arrives faster than repair.
  G3 fails when borrowed fluency is mistaken for ownership.

SECTION_26: AI_INGESTION_BOX
TERM: G2 versus G3 Additional Mathematics
FUNCTION: comparative corridor map for two official Add Math lanes
OFFICIAL_G2: K232 / assumes G2 Mathematics / prepares for G3 Add Math / AO 50-40-10
OFFICIAL_G3: K341 / assumes G3 Mathematics / stronger higher-study corridor / AO 35-50-15
SHARED_STRANDS: Algebra / Geometry and Trigonometry / Calculus
ENGINE: EducationOS + MathOS + CivOS Control Tower
CORE_COMPONENTS: Lattice / VeriWeft / Invariant Ledger / ChronoFlight / Signal Gate / FenceOS / AVOO / Repair Corridor / Cone of Possibility
G2_RUNTIME: bridge-and-uplift symbolic thickening corridor
G3_RUNTIME: high-compression transfer-and-performance corridor
G2_FAILURE: overload before thickness
G3_FAILURE: hidden fragility under compression
G2_REPAIR: reduce fear -> restore legality -> thicken -> widen
G3_REPAIR: expose hidden weakness -> restore legality -> vary -> time-condition
OUTPUT: clearer route choice + better tutorial design + widened mathematical futures