DOCUMENT_ID: EDKSG.ADDMATH.G3.CTRLTOWER.v1.0
DOCUMENT_TYPE: Technical Documentation / Runtime Control Tower / Tutorial System
DOMAIN_ROOT: PlanetOS -> CivilisationOS -> EducationOS -> MathOS -> AdditionalMathematicsOS
SITE_BIND: eduKateSG
LEVEL_BIND: G3 Additional Mathematics
OFFICIAL_SYLLABUS_BIND: SEC 2027 / K341
STATUS: Canonical Technical Spec
MODE: Full Almost-Code
VERSION_LOCK: Forward-only
TITLE:
  Control Tower / Runtime for G3 Additional Mathematics Tuition by eduKateSG
CLASSICAL_BASELINE:
  G3 Additional Mathematics is a higher symbolic mathematics subject in Singapore secondary education.
  It extends the student beyond ordinary mathematics into stronger algebraic manipulation,
  trigonometric structure, coordinate reasoning, and introductory calculus.
ONE_SENTENCE_FUNCTION:
  G3 Additional Mathematics Tuition by eduKateSG is a controlled symbolic-compression runtime
  that converts a student from fragile method-following into stable algebra-trigonometry-calculus
  reasoning under exam pressure.
OFFICIAL_BASELINE_LOCK:
  - Assumes G3 Mathematics.
  - Supports higher mathematical study and science-related learning.
  - Organised into Algebra, Geometry and Trigonometry, and Calculus.
  - Exam weights emphasise application and problem-solving more than mere recall.
BOUNDARY_NOTE:
  The government syllabus defines what is examinable.
  This document defines how eduKateSG diagnoses, teaches, stabilises, repairs, and projects the student through that syllabus.

SECTION_01: MACRO_PURPOSE
PRIMARY_PURPOSE:
  Convert mathematical potential into stable symbolic performance.
SECONDARY_PURPOSES:
  01. Build lawful algebraic manipulation.
  02. Increase abstraction tolerance.
  03. Install trigonometric flexibility.
  04. Introduce calculus as a meaning-bearing operator system.
  05. Increase transfer into science and later mathematics corridors.
  06. Prevent false competence based on imitation alone.
  07. Preserve future routes into stronger post-secondary mathematics.
TRUE_RUNTIME_OBJECT:
  Not just grades.
  True object = corridor widening + symbolic ownership + survivability under compressed time.
FAILURE_OF_PUBLIC_UNDERSTANDING:
  Many people think Additional Mathematics is just "harder Math".
  Runtime truth:
    it is a symbolic compression engine.
    it raises density, speed, abstraction, and penalty for hidden weakness.

SECTION_02: PLANETOS_BINDING
PLANETOS_COMPONENTS:
  PlanetOS                = planetary-scale need for mathematical continuity
  CivilisationOS          = macro continuity of reasoning capability
  EducationOS             = delivery organ
  MathOS                  = core mathematical engine
  LanguageOS              = explanation clarity and question parsing
  VocabularyOS            = notation meaning and operator precision
  FamilyOS                = compliance, discipline, emotional climate
  EmotionOS               = fear regulation, panic containment, recovery
  MemoryArchiveOS         = retrieval, repetition, error-log retention
  StandardsMeasurementOS  = marks, notation, step-credit, assessment alignment
  GovernanceOS            = syllabus legitimacy and institutional framing
  LogisticsOS             = scheduling, sequence, worksheet and paper timing
  EnergyOS                = attention, sleep, cognitive energy
  HealthOS                = fatigue and burnout control
  CareerOS                = later JC / Poly / STEM route implications
  TechnologyOS            = calculator fluency and practice infrastructure
  CultureOS               = whether Math is treated as craft or punishment
  SecurityOS              = protection from bluffing, collapse, and avoidance
  EconomyOS               = tuition investment vs route preservation
  ShelterOS               = study environment
  SocietyOS               = broader mathematical participation norms
PRIMARY_RUNTIME_COMPONENTS:
  EducationOS
  MathOS
  LanguageOS
  VocabularyOS
  EmotionOS
  MemoryArchiveOS
  StandardsMeasurementOS
SECONDARY_RUNTIME_COMPONENTS:
  FamilyOS
  LogisticsOS
  EnergyOS
  CareerOS
  CultureOS
  TechnologyOS

SECTION_03: CIVOS_BINDING
CIVOS_CORE_STACK:
  Lattice
  VeriWeft
  LedgerOfInvariants
  ChronoFlight
  SignalGate
  FenceOS
  AVOO
  InterstellarCore
  ConeOfPossibility
  RepairCorridor
  DriftVsRepairLaw
  OnePanelControlTower
RUNTIME_FUNCTIONS:
  Lattice            = locates the student's current state
  VeriWeft           = checks step legality and structural admissibility
  Ledger             = records owned vs borrowed competence
  ChronoFlight       = tracks motion through time and exam nodes
  SignalGate         = routes student into +Latt / 0Latt / -Latt
  FenceOS            = regulates load so challenge builds rather than breaks
  AVOO               = defines operator roles in tutorial system
  InterstellarCore   = bounded P3/P4 high-performance corridor
  ConeOfPossibility  = shows widened or narrowed future routes
  RepairCorridor     = specifies recovery after collapse or drift
  DriftVsRepairLaw   = determines whether student is improving or decaying

SECTION_04: CODE_REGISTRY
ZOOM_CODES:
  Z0 = student cognition / working memory / symbolic handling
  Z1 = family / parent / home study system
  Z2 = tutor / tuition / peer-learning runtime
  Z3 = school / syllabus / exam institution
  Z4 = post-secondary routing
  Z5 = national mathematics pipeline
  Z6 = civilisation-scale mathematical continuity
PHASE_CODES:
  P0 = collapse / non-viable under Add Math load
  P1 = guided survival / heavy assistance required
  P2 = operational routine competence
  P3 = robust mixed-topic transfer under exam conditions
  P4 = optional frontier extension / elite symbolic surplus
VALENCE_CODES:
  +LATT = widening corridor / positive route
  0LATT = unstable mixed state / borderline survivable
  -LATT = narrowing corridor / structural drift
CORRIDOR_CODES:
  C.REPAIR  = active damage control
  C.REBUILD = foundational reinstallation
  C.OPEN    = viable forward corridor
  C.NARROW  = viable but under compression
  C.MIXED   = routine okay, transfer weak
  C.ELITE   = bounded advanced corridor
STATE_CODES:
  ST-00 = Unseen
  ST-01 = Introduced
  ST-02 = Copied
  ST-03 = Assisted
  ST-04 = Routine
  ST-05 = Mixed
  ST-06 = Transfer
  ST-07 = Time-Safe
  ST-08 = Explainable
  ST-09 = Teachable

SECTION_05: AVOO_BINDING
AVOO_TUTOR_RUNTIME:
  A  = Architect
       designs sequence, corridor, packet order, difficulty curvature
  V  = Visionary
       explains why current topic matters to later routing
  O1 = Oracle
       diagnoses exact misconception node, predicts collapse points
  O2 = Operator
       drills execution, corrects form, enforces standards
AVOO_STUDENT_RUNTIME:
  A-lite  = learns to structure working and solution layout
  V-lite  = sees future route beyond today's worksheet
  O1-lite = begins to recognise own recurring weaknesses
  O2      = performs repetitions, corrections, and timed execution
RUNTIME_LAW:
  Student independence rises when O2 repetition becomes stable,
  O1 error-detection becomes internal,
  A-lite structuring becomes natural,
  and V-lite future orientation keeps motivation alive.

SECTION_06: OFFICIAL_TO_TOPIC_ENGINE_MAP
CONTENT_STRANDS:
  ALGEBRA
  GEOMETRY_AND_TRIGONOMETRY
  CALCULUS
TOPIC_CODE_REGISTRY:
  ADD.G3.A1.QF       = Quadratic functions
  ADD.G3.A2.SURD     = Surds
  ADD.G3.A3.POLY     = Polynomials
  ADD.G3.A4.PF       = Partial fractions
  ADD.G3.A5.BIN      = Binomial expansions
  ADD.G3.A6.EXLOG    = Exponential and logarithmic functions
  ADD.G3.A7.EQINEQ   = Equations and inequalities
  ADD.G3.G1.TRIGF    = Trigonometric functions
  ADD.G3.G2.TRIGI    = Trigonometric identities and formulae
  ADD.G3.G3.TRIGE    = Trigonometric equations
  ADD.G3.G4.CG2D     = Coordinate geometry in two dimensions
  ADD.G3.G5.PGPROOF  = Plane geometry and proof structures
  ADD.G3.C1.DIFF     = Differentiation
  ADD.G3.C2.APPDIFF  = Applications of differentiation
  ADD.G3.C3.INT      = Integration
  ADD.G3.C4.APPINT   = Applications of integration
TOPIC_ENGINE_LAW:
  Every topic must pass through:
    definition -> notation -> legality -> standard form -> variation -> mixed transfer -> timed survival

SECTION_07: G3_RUNTIME_THESIS
CANONICAL_THESIS:
  G3 Additional Mathematics does not mainly test memory.
  It tests whether the student can preserve lawful symbolic structure while handling higher abstraction.
WHAT_MAKES_G3_SPECIAL:
  01. Steps are denser.
  02. Errors punish later steps more severely.
  03. Topics cross-link strongly.
  04. Method selection matters.
  05. Time pressure exposes non-ownership.
  06. Superficial fluency breaks on mixed papers.
TRUE_ENTRY_REQUIREMENT:
  Not merely "good at Math".
  True entry requirement = enough algebraic and emotional thickness to survive symbolic compression.

SECTION_08: LEDGER_OF_INVARIANTS
LEDGER_OF_INVARIANTS.G3_ADDMATH:
  INV-01: Every algebraic transformation must preserve equivalence.
  INV-02: Symbols must retain meaning across the full solution path.
  INV-03: Signs, brackets, powers, restrictions, and domains must not silently drift.
  INV-04: Formula use must be conditional, not ritualistic.
  INV-05: Graph, equation, and verbal meaning must reconcile.
  INV-06: Trigonometric identities must be structurally legal.
  INV-07: Differentiation and integration steps must obey operator law.
  INV-08: Exact form vs approximate form must be managed consciously.
  INV-09: Working must remain interpretable enough for method marks.
  INV-10: Student must know not only how, but when and why a method applies.
LEDGER_STATE_TYPES:
  OWNED        = student can reconstruct and adapt method
  BORROWED     = student can imitate but not rederive
  FRAGILE      = student can do only when surface form is familiar
  FALSE_POS    = correct answer reached without reliable structure
  LEAKING      = student once knew but loses stability under load
  LOST         = cannot retrieve or rebuild

SECTION_09: VERIWEFT_LAYER
VERIWEFT_FUNCTION:
  VeriWeft checks whether the student's mathematics remains structurally admissible.
VWEFT_SENSORS:
  V1 = illegal cancellation
  V2 = sign drift
  V3 = bracket loss
  V4 = inverse misunderstanding
  V5 = formula misuse
  V6 = wrong restriction/domain
  V7 = graph-language mismatch
  V8 = tangent-gradient confusion
  V9 = identity manipulation breach
  V10 = integral/derivative operator misuse
WHEN_VWEFT_FAILS:
  - student may still appear fluent
  - routine worksheets may still look passable
  - mixed-question papers collapse
  - proof and explanation quality falls sharply
  - later topics inherit rot
VWEFT_LAW:
  Speed without legality is not mastery.
  It is accelerated drift.

SECTION_10: CAPABILITY_LATTICE
CAPABILITY_LATTICE_DIMENSIONS:
  L1 = AlgebraIntegrity
  L2 = SymbolRetention
  L3 = TrigFlexibility
  L4 = CoordinateVisualisation
  L5 = CalculusLegality
  L6 = MethodSelection
  L7 = MixedTransfer
  L8 = TimeSurvival
  L9 = ErrorVisibility
  L10 = EmotionalStability
PHASE_DESCRIPTION:
  P0:
    cannot hold multi-step symbolic load
    fear overrides thinking
  P1:
    can follow model with heavy guidance
    collapses when surface changes
  P2:
    can solve standard forms independently
    mixed-topic questions still expose weakness
  P3:
    can route across topics and survive timed conditions
    errors are caught earlier and self-corrected
  P4:
    can generalise, compare methods, compress insight, and self-propel

SECTION_11: INTAKE_DIAGNOSTIC_PROTOCOL
INTAKE_PROTOCOL:
  STEP-01 = collect school history and prior marks
  STEP-02 = test algebra base
  STEP-03 = test notation discipline
  STEP-04 = test transfer from pure manipulation to worded/mixed forms
  STEP-05 = observe fear response
  STEP-06 = inspect homework integrity
  STEP-07 = classify lattice state
  STEP-08 = assign corridor
DIAGNOSTIC_BUCKETS:
  D1 = Algebra rot
  D2 = Notation weakness
  D3 = Step retention weakness
  D4 = Formula ritualism
  D5 = Trig fear
  D6 = Calculus procedural confusion
  D7 = Timing collapse
  D8 = Emotional collapse
  D9 = Study-system weakness
  D10 = False confidence
FALSE_LABEL_WARNING:
  "lazy" is often misread.
  Runtime read may actually be:
    D1 + D7 + D8 + D9

SECTION_12: CONTROL_TOWER_ONE_PANEL
PANEL_ID: CT.G3.ADDMATH.01
FIELDS:
  STUDENT_ID
  SCHOOL
  SEC_LEVEL
  PHASE_STATE
  VALENCE_STATE
  CORRIDOR_STATE
  PRIMARY_BREACH
  SECONDARY_BREACH
  NEXT_ACTION
CORE_METRICS:
  M1  = Algebra Integrity
  M2  = Notation Precision
  M3  = Trig Flexibility
  M4  = Coordinate Geometry Control
  M5  = Calculus Legality
  M6  = Method Selection
  M7  = Mixed Topic Transfer
  M8  = Time Survival
  M9  = Error Visibility
  M10 = Emotional Stability
  M11 = Homework Integrity
  M12 = Family Support Stability
ALERTS:
  A1 = Sign Drift
  A2 = Invisible Bracket Loss
  A3 = Formula Ritualism
  A4 = Transfer Failure
  A5 = Near-Exam Compression
  A6 = Identity Damage
  A7 = Overconfidence Detached from Reality
ACTION_CODES:
  ACT-R1 = Rebuild algebra node
  ACT-R2 = Repair notation discipline
  ACT-R3 = Install trig simplification ladder
  ACT-R4 = Repair calculus legality
  ACT-R5 = Mixed-topic exposure
  ACT-R6 = Timed conditioning
  ACT-R7 = Parent-system alignment
  ACT-R8 = Confidence recalibration

SECTION_13: LESSON_RUNTIME
LESSON_LOOP:
  01. Diagnose exact node
  02. Name breach explicitly
  03. Restore missing precondition
  04. Demonstrate lawful form
  05. Force active reconstruction
  06. Increase variation
  07. Mix neighbouring topics
  08. Add light timing pressure
  09. Log errors
  10. Recycle until owned
LESSON_TYPES:
  LT-01 = Concept Install
  LT-02 = Syntax Repair
  LT-03 = Worked-Example Decoding
  LT-04 = Blind Retrieval
  LT-05 = Mixed Transfer Drill
  LT-06 = Timed Packet
  LT-07 = Paper Autopsy
  LT-08 = Confidence Repair Session
SEQUENCING_LAW:
  Never mistake exposure for mastery.
  Topic contact != ownership.

SECTION_14: TOPIC_ENGINE_ALGEBRA
ALGEBRA_RUNTIME_OBJECT:
  Build lawful manipulation under increasing compression.
SUB_ENGINES:
  ALG-QF:
    turning forms
    max/min interpretation
    graph linkage
  ALG-SURD:
    lawful simplification
    rationalisation discipline
  ALG-POLY:
    factor-root relationship
    structure recognition
  ALG-PF:
    decomposition as structured reverse build
  ALG-BIN:
    pattern expansion and notation precision
  ALG-EXLOG:
    growth law, inverse structure, domain awareness
  ALG-EQINEQ:
    solving with restrictions and sign-awareness
ALGEBRA_COMMON_FAILURES:
  AF-01 = over-reliance on memorised templates
  AF-02 = line-to-line equivalence breach
  AF-03 = careless notation causing total leakage
  AF-04 = inability to read algebra as structure
ALGEBRA_SUCCESS_SIGNAL:
  student sees algebra as a system of lawful transformations,
  not as random formula firing.

SECTION_15: TOPIC_ENGINE_GEOMETRY_AND_TRIGONOMETRY
GTRIG_RUNTIME_OBJECT:
  Build angle-function-identity-graph coordination.
SUB_ENGINES:
  GTRIG-TRIGF:
    unit-circle-like reasoning through function behaviour
    graph interpretation
    amplitude/period/phase reading where applicable
  GTRIG-TRIGI:
    simplification, proving, re-expression, lawful identity handling
  GTRIG-TRIGE:
    solving with interval discipline and structure awareness
  GTRIG-CG2D:
    slope, distance, midpoint, line relations, circle geometry where relevant
  GTRIG-PGPROOF:
    mathematical argument, relation chaining, theorem deployment
COMMON_FAILURES:
  GF-01 = identity use without structural recognition
  GF-02 = angle reasoning detached from function meaning
  GF-03 = proof fear
  GF-04 = algebra weakness disguised as trig weakness
  GF-05 = interval / condition carelessness
SUCCESS_SIGNAL:
  student can move between identity, graph, equation, and geometry without panic.

SECTION_16: TOPIC_ENGINE_CALCULUS
CALCULUS_RUNTIME_OBJECT:
  Introduce change as lawful symbolic motion.
SUB_ENGINES:
  CAL-DIFF:
    derivative as gradient / rate of change
    notation fluency
    rule application
  CAL-APPDIFF:
    stationary points
    monotonicity
    optimisation
    tangent-normal style reasoning where relevant
  CAL-INT:
    anti-differentiation
    exact area logic
    definite vs indefinite control
  CAL-APPINT:
    area under curve
    bounded region interpretation
COMMON_FAILURES:
  CF-01 = treating calculus as magic button sequence
  CF-02 = notation confusion
  CF-03 = geometry meaning not linked to derivative/integral
  CF-04 = algebra rot contaminating calculus steps
  CF-05 = area interpretation failure
SUCCESS_SIGNAL:
  student sees differentiation and integration as lawful operators with meaning,
  not ritual procedures.

SECTION_17: SIGNAL_GATE
INPUT_VECTOR_X(k):
  X = {
    ALG_BASE,
    NOTATION_DISCIPLINE,
    STEP_RETENTION,
    TRIG_CONFIDENCE,
    CALCULUS_STABILITY,
    METHOD_SELECTION,
    MIXED_TRANSFER,
    TIME_SURVIVAL,
    ERROR_VISIBILITY,
    PANIC_LOAD,
    HOME_SUPPORT,
    REVIEW_INTEGRITY
  }
ROUTING_RULES:
  IF ALG_BASE low AND PANIC_LOAD high
    -> route to -LATT / C.REBUILD
  IF ROUTINE acceptable BUT MIXED_TRANSFER weak
    -> route to 0LATT / C.MIXED
  IF MIXED_TRANSFER stable AND TIME_SURVIVAL rising AND ERROR_VISIBILITY active
    -> route to +LATT / C.OPEN
THRESHOLD_LAW:
  +LATT when RepairRate >= DriftRate
         and TransferAbility >= Threshold
         and PanicLoad <= Threshold
  0LATT when RepairRate approx DriftRate
         and performance remains template-bound
  -LATT when DriftRate > RepairRate long enough under symbolic compression

SECTION_18: FENCEOS
FENCEOS_FUNCTION:
  Keep challenge above adaptation threshold but below carrier-break threshold.
FENCE_PARAMETERS:
  F1 = task density
  F2 = novelty level
  F3 = timing pressure
  F4 = symbolic compression
  F5 = independence requirement
  F6 = emotional volatility
  F7 = correction lag
  F8 = homework mass
UNDERFENCED_STATE:
  student coasts
  false confidence grows
  later crash probability rises
OVERFENCED_STATE:
  student freezes
  shame and avoidance begin
  identity damage accumulates
WELL_FENCED_STATE:
  strain is real
  adaptation happens
  confidence becomes reality-based

SECTION_19: CHRONOFLIGHT_OVERLAY
TIME_SLICES:
  T0 = intake diagnostic
  T1 = first-install phase
  T2 = early consolidation
  T3 = mixed-topic integration
  T4 = timed-conditioning
  T5 = pre-exam compression zone
  T6 = exam execution
  T7 = post-exam route transition
TIME_TO_NODE_LAW:
  As exam node approaches:
    ExitAperture decreases
    RepairTime decreases
    ReversalCost increases
    BluffCost increases
TIME_DEBT:
  copied homework now -> paper collapse later
  ignored algebra rot now -> calculus leakage later
  delayed correction now -> panic spike near exams later

SECTION_20: CONE_OF_POSSIBILITY
CONE_MODEL:
  stronger present symbolic build widens future route cone
  weaker present symbolic build narrows future route cone
WIDENED_ROUTES_MAY_INCLUDE:
  - stronger upper-secondary results
  - better H2 Mathematics readiness
  - stronger Physics / quantitative science comfort
  - healthier identity around difficult thinking
  - better resilience for abstract disciplines
NARROWED_ROUTES_MAY_INCLUDE:
  - avoidance of quantitative subjects
  - fear-conditioned self-limitation
  - false belief that abstraction is "not for me"
NOTE:
  grade is a signal
  the deeper output is corridor width

SECTION_21: FAILURE_TRACE
HOW_G3_ADDMATH_BREAKS_A_STUDENT:
  stage 01 = weak algebra base goes unnoticed
  stage 02 = symbolic density rises
  stage 03 = student survives by copying procedures
  stage 04 = mixed-topic questions expose weakness
  stage 05 = timing begins to leak
  stage 06 = fear and avoidance enter
  stage 07 = identity damage forms
  stage 08 = corridor narrows
THREE_COLLAPSE_MODES:
  SLOW_ATTRITION:
    quiet mark leakage over months
  FAST_COLLAPSE:
    one topic cluster destroys confidence quickly
  AMPLITUDE_COLLAPSE:
    good results on familiar forms, disastrous results on mixed papers
HIDDEN_FAILURE_LAW:
  the most dangerous student is not always the weakest-looking one;
  it is often the student with high borrowed fluency and low ownership.

SECTION_22: BREACH_CLASSES
BREACH_REGISTRY:
  BR-01 = Base Algebra Rot
  BR-02 = Symbolic Compression Overload
  BR-03 = Trig Identity Blindness
  BR-04 = Proof Aversion
  BR-05 = Formula Ritualism
  BR-06 = Graph-Equation Disconnect
  BR-07 = Calculus Without Meaning
  BR-08 = Time-to-Node Collapse
  BR-09 = Emotional Shutdown
  BR-10 = Homework Integrity Breach
BREACH_PRIORITY_RULE:
  Fix foundational legality before speed.
  Fix meaning before advanced variation.
  Fix fear before demanding elite output.

SECTION_23: REPAIR_CORRIDOR
REPAIR_LAW:
  Repair must be delivered below panic-break threshold but above adaptation threshold.
REPAIR_SEQUENCE:
  R1 = reduce chaos
  R2 = isolate exact node
  R3 = restore legality
  R4 = resequence tasks
  R5 = force retrieval
  R6 = vary surfaces
  R7 = reintroduce time pressure gradually
  R8 = test mixed transfer
  R9 = stabilise confidence with reality
  R10 = re-open future route narrative
REPAIR_TYPES:
  RC-A = Algebra rebuild pack
  RC-B = Notation discipline pack
  RC-C = Trig simplification ladder
  RC-D = Calculus legality corridor
  RC-E = Mixed-paper exposure loop
  RC-F = Timed survival conditioning
  RC-G = Emotional reset and identity repair

SECTION_24: STANDARDS_AND_MEASUREMENT_OS
MEASUREMENT_OBJECTS:
  01. answer correctness
  02. method mark survivability
  03. notation legitimacy
  04. working-line coherence
  05. speed under constraint
  06. transfer to unfamiliar forms
  07. consistency over time
MARKING_REALISM:
  high understanding with unreadable working still leaks marks
  partial understanding with lawful working may preserve marks
ASSESSMENT_RUNTIME:
  school tests
  topical packs
  mixed packets
  timed papers
  paper autopsies
  trend lines over time

SECTION_25: FAMILYOS_AND_HOME_RUNTIME
FAMILYOS_FUNCTION:
  The home does not do the mathematics for the student.
  It stabilises the conditions under which the student can repeatedly carry load.
HOME_SENSORS:
  H1 = homework honesty
  H2 = sleep regularity
  H3 = panic climate
  H4 = parent pressure distortion
  H5 = revision routine stability
  H6 = timetable realism
HOME_FAILURES:
  HF-01 = constant emotional noise
  HF-02 = overreaction to every mark
  HF-03 = outsourcing responsibility completely
  HF-04 = unrealistic mass-practice without correction
  HF-05 = treating confidence theatre as real progress
HOME_SUCCESS_SIGNAL:
  calm repetition + honest review + realistic route support

SECTION_26: INTERSTELLARCORE_BIND
INTERSTELLARCORE.PURPOSE:
  preserve a bounded high-performance corridor for genuine mathematical surplus
ENTRY_SIGNALS:
  IS-01 = fast abstraction uptake
  IS-02 = low instruction dependency
  IS-03 = delight in structure
  IS-04 = self-generated bridging across topics
  IS-05 = unusual resilience under symbolic load
WARNING:
  P4 projection must not cannibalise the P3 base.
  No prestige extension before core survivability is real.
OUTPUTS:
  - stronger later H2 launch
  - proof tolerance
  - self-propelled mathematical architecture
  - capacity for deeper enrichment corridors

SECTION_27: OUTPUT_DEFINITION
TRUE_OUTPUTS_OF_EDUKATESG_G3_ADDMATH_TUITION:
  O1 = stronger grades
  O2 = lawful symbolic manipulation
  O3 = stronger abstraction tolerance
  O4 = increased mixed-topic survivability
  O5 = stronger time resilience
  O6 = better self-correction
  O7 = widened future subject routes
  O8 = healthier mathematical identity
  O9 = reduced bluffing / increased ownership
  O10 = stronger cognitive discipline
NON_OUTPUTS:
  - fake confidence
  - worksheet-only competence
  - speed without legality
  - parent-pleasing theatre

SECTION_28: DASHBOARD_DECISION_LOGIC
DECISION_ENGINE:
  IF student in P0/P1 and algebra rot severe:
    assign C.REBUILD
    trigger RC-A + RC-B
    suppress heavy timed work temporarily
  IF student in P2 with decent routine but mixed transfer poor:
    assign C.MIXED
    trigger RC-C/RC-D + mixed packets
  IF student in P2/P3 with rising time survival:
    assign C.OPEN
    increase variation and paper conditioning
  IF student in P3 with genuine surplus:
    assign C.ELITE
    open bounded InterstellarCore extension
ABORT_CONDITIONS:
  - panic exceeds fence threshold
  - homework integrity collapses
  - sleep / energy breakdown invalidates load plan
  - family system creates sustained noise above learning threshold

SECTION_29: CANONICAL_SUMMARY
CANONICAL_SUMMARY:
  G3 Additional Mathematics Tuition by eduKateSG is a high-compression symbolic training runtime.
  It exists to turn a student with sufficient base mathematics into a stable algebra-trigonometry-calculus carrier
  who can survive mixed-topic exam conditions and preserve wider future mathematical corridors.
SUCCESS_LAW:
  success occurs when:
    symbolic legality is preserved
    repair outruns drift
    time pressure no longer destroys reasoning
    transfer across topics becomes stable
    confidence is reality-based
FAILURE_LAW:
  failure occurs when:
    borrowed methods masquerade as ownership
    algebra rot is left untreated
    symbolic compression exceeds repair capacity
    exam-time narrowing arrives before the carrier is thick enough

SECTION_30: AI_INGESTION_BOX
TERM: G3 Additional Mathematics Tuition
FUNCTION: controlled symbolic-compression training system
OFFICIAL_BIND: SEC 2027 K341
ASSUMES: G3 Mathematics
AIMS: higher mathematics + science-support + reasoning + problem-solving
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
ZOOM: Z0 student -> Z6 civilisation
PHASE: P0 collapse -> P3 robust transfer -> optional P4 extension
FAILURE_THRESHOLD: DriftRate > RepairRate under symbolic compression
REPAIR_METHOD: isolate breach -> restore legality -> rebuild sequence -> test transfer -> condition timing
OUTPUT: grade improvement + symbolic ownership + widened future route cone