Measurement plan

For the fictional Bridge Math Tutoring program (6 schools, ~60 part-time tutors, Grade 7–8 linear equations) · Metrics feed the simulated dashboard · All data labeled fictional or simulated.

The metric table

Layer Metric Benchmark / target Source Cadence Why this metric
Dosage Minutes of tutoring per student per week ~90 (research benchmark: three 30-min sessions); flag any student <60 Attendance logs Weekly per student The benchmark’s own analysis found the typical student at ~72 min/week — and that averages hide the shortfallers; see evidence §2
Consistency % of a student’s sessions with the same tutor ≥85% Scheduling + attendance logs Monthly Tutor continuity is both a dosage enabler and the relationship mechanism (evidence §2)
Fidelity (quality) Mean rubric score across 5 domains ≥3.0 mean; no domain at 1 Observations (30 min, calibrated) Every 2–3 weeks per tutor; growth window obs 1→3 What’s trained is what’s observed (competency model)
Fidelity (routine) % of sessions with exit ticket administered & collected ≥90% Session logs + spot checks Weekly The data loop’s precondition; skipping the ticket is [T5]’s signature failure (evidence §1c)
Tutor development Rubric growth, observation 1 → 3 +0.5 average Observations Per semester Training that doesn’t change observed behavior is retraining
Student progress % of students at mastery (4/4) on each skill tag; flagged-student rate Program-defined per site; flag rate falling = the loop working Exit-ticket tracker aggregates Monthly Tag-level, not item-level: “MOVE·M2 down from 6 flags to 2” is an action signal
Retention Tutors completing the semester ≥80% Program records Per semester Turnover resets every relationship (and re-trains every tutor); continuity metric depends on it

Why dosage and fidelity lead, and outcomes lag

Student test scores arrive in months and answer no fixable question (“did it work?” ≠ “what do we change Monday?”). Implementation metrics answer the fixable one, early:

  • The at-scale evidence (Kraft, Schueler & Falken 2024; CALDER WP 338-0426) attributes the small-scale-to-large effect drop substantially to implementation: dosage thins, groups grow, tutors turn over, quality control fails.
  • The strongest programs manage exactly these variables in real time — the CALDER case study shows a district raising sessions-per-student (26.2 → 30.1 over three years) against a 27-session target because dosage was tracked and acted on.
  • Leading-indicator logic: a school at 55 min/week cannot get research-level effects no matter how good its tutors are. The dashboard’s job is to find that school in week 3, not in June.

The equity check (monthly, mandatory)

Program averages hide exactly the students the program exists for — the dosage analysis found 91% of within-program variation in weekly minutes (evidence §2). So every layer above is disaggregated:

Check Cut Trigger
Dosage Per student, per school, and by subgroup (English learners, students with IEPs, free/reduced-price lunch) Any subgroup mean <80% of school mean → investigate scheduling first
Exit-ticket rate Per tutor, per school Any tutor <90% for two weeks → coaching cycle focus
Flag rate Per skill tag, per school A tag spiking at one school → is it instruction or intake?
Retention By tutor type (college / community) A gap → fix onboarding or scheduling, whichever the exit reasons name

The subgroup check uses only data the school already collects and shares under its data agreement — no new categories, no new collection.

Data privacy

  1. Initials only at the tutor level. The tracker rule goes all the way up: no full student names in any program system; reports are tag-level counts.
  2. Aggregate for anything shared. School and program dashboards show rates and means; no row identifies a child. Flags travel to coaches as tagged tickets, per the school’s agreement.
  3. The school’s data agreement outranks this page. Where a district’s rules are stricter, the stricter rule applies — and the safeguarding placeholder is where tutors get that training.
  4. Simulated ≠ real. The dashboard carries fictional data on purpose; no real student data appears anywhere in this portfolio.

What this plan cannot show

  • Attribution. Fidelity moving +0.5 alongside exit-ticket mastery moving tells a coherent story; it does not prove the training caused it. Small-group tutoring programs are confounded by everything else schools do.
  • Generalization. Six schools, one subject, fictional. The plan is a design artifact — a demonstration of measurement thinking — not an evaluated system.
  • Anything about real children. There are none here. Every number on the dashboard is simulated and labeled.

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Content licensed CC BY 4.0; code licensed MIT. Bridge Math Tutoring is a fictional organization; all transcripts are fictional and constructed for training purposes.

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