PSLE Math OS Wrapper — Outcome Reliability Under Time Pressure

Unified Almost-Code Exam Wrapper Spec (Registry-Clean) v0.2

PAGE-ID: EDK-WRP-PSLE-MTH-v0.2
Role: WRP.Exam + LoadModel + PaceBudget + Transfer + MarkReliability
Purpose: translate Math OS into PSLE exam conditions (Paper 1/2) so skill survives time + variation + wording.

0) Definition Lock

PSLE Math Wrapper := the exam-load layer that converts “can do worksheets” into reliable marks under PSLE timing, where the failure mode is usually:

  • word-problem encoding leak
  • pace collapse
  • careless spikes under time
  • weak checking discipline
  • failure to handle unfamiliar variants

Lock: PSLE success is not just math content; it’s math under load.

1) PSLE Output Spec (What “good” looks like)

Target state (P3-PSLE):

  • stable accuracy on fundamentals
  • stable model/representation on word problems
  • stable pace across the paper
  • stable checking protocol
  • survives variation (non-routine items)

2) PSLE Load Model

Load Sources (what makes PSLE hard)

  • Time pressure (pace budget)
  • Mixed difficulty (switching costs)
  • Language ambiguity (instruction decoding)
  • Non-routine variants (transfer)
  • Careless risk (fatigue + speed)

So the wrapper adds 4 controls:

  1. pace budget
  2. encoding standard
  3. checking protocol
  4. transfer ladder

3) PSLE Paper Execution Protocol (Exam-Time Loop)

Protocol ID: PSLE.MTH.EXAM.LOOP

Read → Encode → Plan → Execute → Check → Decide (move/skip/return)

Rule 1 — Encode before you solve

Every word problem must produce an “Encode Block”:

Given:
Unknown:
Constraint(s):
Model (bar / table / equation):

Rule 2 — Plan in 1 line

“Signal → method” even at PSLE level:

  • “difference” → comparison model
  • “times as many” → multiplication/proportion
  • “after/before” → time sequence model
  • “remainder” → division structure

Rule 3 — Check is mandatory

PSLE marks are lost mainly by avoidable slips.

4) Pace Budget System (Pace = marks)

Pace Budget Rule (simple):

  • Questions that are “straight computation” must be fast.
  • Word problems get time, but not unlimited.

Operator policy:

  • If stuck > 60–90 seconds (age-appropriate):
  • mark it
  • move on
  • return after collecting easier marks

End-of-paper failure prevention:

  • Never let one hard item eat the paper.

5) The PSLE Checking Protocol (Anti-Careless)

Check Stack:

  1. arithmetic sanity check
  2. unit / label check (cm, ml, $, people, days)
  3. inverse operation check (when possible)
  4. reasonableness check (estimate)
  5. re-read question: “answer the asked thing”

Careless reduction rule:
If B5 (careless) repeats, treat it as a system leak, not “be careful.”

6) Transfer Ladder (Non-routine Defense)

Transfer levels for PSLE:

  • T0: routine form (warm-up)
  • T1: same concept, new wording
  • T2: mixed steps (2-step)
  • T3: unfamiliar variant (needs modelling insight)
  • T4: exam non-routine (combined constraints)

Wrapper rule:
A topic is “PSLE-ready” only if it survives T2 reliably.

7) PSLE Error Buckets (PSLE-specific mapping)

Use B1–B6 but interpret for PSLE:

  • B1 Concept: doesn’t understand idea (ratio, fraction, area…)
  • B2 Manipulation: slow arithmetic/fractions/long division
  • B3 Method Selection: wrong operation / wrong approach
  • B4 Representation: cannot model word problem
  • B5 Careless: copying, signs, wrong final answer, misread
  • B6 Pace: cannot finish / panics / time budget collapse

8) PSLE Labs (Wrapper Add-ons)

These are wrapper-specific labs that sit on top of Math OS labs:

LAB-PSLE-1 — Encode Lab (Word Problem Translation)

  • 6–10 items
  • no solving first; only encode blocks
  • pass when setups are correct ≥ 80%

LAB-PSLE-2 — Pace Mini (10–15 min)

  • strict timer
  • easy-to-medium set
  • goal: pace stability

LAB-PSLE-3 — Careless Trap Lab

  • short set designed to trigger typical slips
  • goal: checking protocol becomes reflex

LAB-PSLE-4 — Transfer Mix

  • 12 items across T0–T3
  • goal: resilience to wording/format shifts

9) PSLE Gauge (Wrapper Scorecard)

Score weekly:

  • Precision (routine + mixed)
  • Bandwidth (how fast student “sees” model type)
  • Speed (pace budget stability)
  • DriftRisk (careless spike + time collapse)

PSLE readiness default target:

  • Precision ≥ 3/5
  • Speed ≥ 3/5
  • DriftRisk not High
  • Representation sensor stable (Encode Lab pass)

10) Failure Mode Trace (PSLE wrapper)

Trace ID: EDK-TRACE-PSLE-MTH-WP-COLLAPSE-v0.2

arithmetic ok
→ representation weak
→ wrong model
→ wasted time
→ panic + careless spike
→ unfinished paper

Repair

encode lab + pace minis + checking protocol
→ transfer ladder
→ timed stability returns

Start here if you want the full sequence:

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