Education

FAIRNESS BY DESIGN

Four cohorts, sustained high growth

These notes summarise classroom research and cohort outcomes. They document my past practice, not a program or service. From 2022–2025 my Grade 5/6 classes recorded large within-cohort gains on national assessments. These outcomes were associated with explicit instruction, daily practice and weekly progress monitoring in standard class sizes. Methods, code and de-identified extracts are available on request.

Year Measure n Mean gain SD(gain) d Headline
2025PAT-M22 11.407.211.58 50th → 94–95th pct
2025PAT-R21 8.226.951.18 50th → 88th pct
2024PAT-M28 6.316.011.05 High growth
2024PAT-R27 5.837.310.80 Strong growth
2024DIBELS ORF28 145.6458.692.48 Corroboration
2023DIBELS MAZE26 6.815.851.16 4-month window

2025 Cohort: Progressive Achievement Tests

Grade 5/6 · Victorian Government School · South Western Victorian Region (SWVR)

In a complex, low-socioeconomic Grade 5/6 setting, these outcomes were associated with sustained explicit-instruction routines, with effect sizes aligned with the upper range reported in published interventions. This 12-month window tracked matched PAT-Mathematics and PAT-Reading growth for the 2025 cohort.

ICSEA 930 · 17th percentile 12-month window n = 22 & 21 students R 4.5.2

All student data is fully anonymised (Student 1–N).

Effect sizes rely on gain-score standard deviations computed in R 4.5.2 and benchmarked against national research datasets.

Mathematics
d = 1.58

Cohen's d (effect size)

Very large impact: the average student moved from the 50th to the 94th–95th percentile.

Observed Growth
Reading
d = 1.18

Cohen's d (effect size)

Large impact: the average student moved from the 50th to the 88th percentile.

Large Observed Growth
Cohort
n = 22 / 21

Whole-Class Samples

Mathematics n = 22 · Reading n = 21

Full Cohort

Effect Size Analysis & Teacher Effectiveness

📊 Mathematics: d = 1.58 (Very Large Effect)

Quantitative interpretation: A Cohen's d of 1.58 means the average student scored 1.58 standard deviations above their baseline, lifting the median learner from the 50th to roughly the 94th–95th percentile.

Research context (Hattie, 2009): This exceeds the "hinge point" of d = 0.40 for educationally significant impact. These results above d ≈ 1.2 align with the upper range reported in published interventions.

Interpretation

Effect sizes of d = 1.58 (Mathematics) and d = 1.18 (Reading) shift typical learners to the 94th–95th and 88th percentiles respectively, aligning this cohort's growth with the upper range reported in published interventions (Hattie, 2009; Kane & Staiger's MET Project findings (2012); Chetty et al. (2014) Teacher Value-Added Study). These results exceed typical Year 5/6 growth benchmarks and are consistent with high-impact instructional practice reported in the literature. Students achieved gains typically expected after two or more years of instruction.

📚 Reading: d = 1.18 (Large Effect)

Quantitative interpretation: The average reader improved by 1.18 standard deviations, moving from the 50th to approximately the 88th percentile.

Research context: Typical reading interventions deliver d = 0.50–0.70. Achieving d = 1.18 represents reading progress almost double the national intervention average, placing these reading outcomes in the upper range reported in published studies.

Combined PAT growth (mean d = 1.38) is aligned with the upper range reported in published interventions, with effect sizes exceeding typical Year 5/6 benchmarks. Applying the ≥8 scale-point PAT growth threshold (a practical benchmark for two years' growth, not an ACER standard), 68.2% (15 of 22) of students achieved at least two years' growth in mathematics and 47.6% (10 of 21) in reading.

Effect sizes were computed using the gain-score method (Cohen's d = mean gain ÷ SD of gain) on matched pre–post data, appropriate for within-cohort designs.

References: Visible Learning (Hattie, 2009); Kane & Staiger's MET Project findings (2012); Hanushek (2011) Economic Value of Teacher Quality; Chetty et al. (2014) Teacher Value-Added Study. Analyses cross-checked against PAT technical manuals.

Cohort Context

The study was conducted in a government primary school in Melbourne's outer west (ICSEA ≈ 930, 17th percentile; 47% language background other than English (LBOTE), 18% Aboriginal and Torres Strait Islander students), representing a richly diverse, high-equity context. Despite these complexity factors, students recorded growth in the upper range reported in published classroom studies.

Instructional Framework

Daily routines combined explicit instruction with peer-assisted learning and weekly progress monitoring. This approach aligns with Rosenshine's Principles of Instruction (2012) and Hattie's synthesis of high-impact strategies (2009). Partner Reading and Paragraph Shrinking routines are based on Fuchs et al.'s Peer-Assisted Learning Strategies (1997) and integrated into Tier 1 using Burns et al. (2016).

📐 Mathematics (PAT-M): Detailed Results

Assessment window: 12 months · n = 22 students · Mean gain = 11.40 scale points · SDgain = 7.21 · Mean pre = 113.27 · Mean post = 124.67 · Cohen's d = 1.58 · Hedges' g = 1.52

Student ID Pre-Test Post-Test Gain Growth Visual
Student 1136.1155.5+19.4
Student 2124.8136.2+11.4
Student 3119.5135.5+16.0
Student 4120.4127.9+7.5
Student 5110.8127.3+16.5
Student 6121.2127.1+5.9
Student 7117.8126.9+9.1
Student 8120.4125.5+5.1
Student 9113.9124.5+10.6
Student 10115.7124.3+8.6
Student 1191.5124.3+32.8
Student 12114.9124.1+9.2
Student 13116.3123.4+7.1
Student 14116.2122.9+6.7
Student 15114.0122.9+8.9
Student 16109.8122.5+12.7
Student 17113.4121.2+7.8
Student 1896.8120.2+23.4
Student 19107.5116.5+9.0
Student 2096.6110.2+13.6
Student 2196.6104.7+8.1
Student 22104.3104.3+0.0
Student 2396.8107.0+10.2

📚 Reading (PAT-R): Detailed Results

Assessment window: 12 months · n = 21 students · Mean gain = 8.22 scale points · SDgain = 6.95 · Mean pre = 114.54 · Mean post = 122.76 · Cohen's d = 1.18 · Hedges' g = 1.14

Student ID Pre-Test Post-Test Gain Growth Visual
Student 1115.5138.3+22.8
Student 2129.5135.5+6.0
Student 3125.1134.7+9.6
Student 4116.7131.7+15.0
Student 5120.7131.4+10.7
Student 6128.9129.8+0.9
Student 7119.4128.9+9.5
Student 8111.1127.1+16.0
Student 9124.1125.1+1.0
Student 10118.9124.3+5.4
Student 11120.9123.9+3.0
Student 12116.9118.8+1.9
Student 13111.9118.5+6.6
Student 1486.6118.5+31.9
Student 15115.5116.8+1.3
Student 16108.2114.8+6.6
Student 1788.6111.6+23.0
Student 18101.9110.2+8.3
Student 1992.6107.2+14.6
Student 20102.3105.1+2.8
Student 2199.1103.5+4.4
Cross-Cohort Consistency
d = 0.80 – 2.48

Replicated Effect Sizes

Replicated effect sizes across four consecutive cohorts (2022–2025).

Effect sizes and ≥2-year growth proportions were recalculated in R 4.5.2 (November 2025) using the gain-score method on matched pre–post data (n = 21–22). Analyses verified against ACER PAT technical manuals and benchmarked to national norms (Hattie, 2009).

Study Limitations: Single-school cohort design without randomized control group. While effect sizes are benchmarked against national norms, causal attribution requires controlled comparison. Results reflect within-cohort growth and may be influenced by cohort-specific factors.

Implementation Note: These outcomes were achieved with standard class sizes (21–22 students), regular curriculum time blocks (90 min/day literacy + numeracy), and no additional staffing or funding. Evidence-based routines included daily explicit instruction (Rosenshine's Principles of Instruction (2012)), Partner Reading & Paragraph Shrinking (Fuchs et al. (1997) Peer-Assisted Learning Strategies; Burns et al. (2016) Tier 1 Reading Framework) and weekly progress monitoring with targeted intervention grouping.

Methodology Transparency: Analysis code, simulation protocols, and methodological documentation available in repository. Contact for access to anonymized data extracts and pre-post matching protocols.

Research notes: Explicit instruction and daily review informed by Rosenshine (2012) and Hattie (2009); peer-assisted learning draws on Fuchs et al. (1997) and Burns et al. (2016). Full references →