The two schools differed drastically in prior math achievement as measured by the PSLE¶

Claim · All claims
Evidence · 1 study (2 entries) · associational r2 · q3 · i3 large
Currency · newest study 2023 · not yet checked against its sources · not reviewed by a person · recheck by 2026: local conditions change quickly

Subclaims¶

q3 i3 Seventh graders at School A significantly outperformed School B on PSLE scores (d = 5.34) and PSLE math grade (d = 2.12). → Manu Kapur 2023 q3 i3 Eighth graders at School A significantly outperformed School B on PSLE scores (d = 2.49) and PSLE math grade (d = 1.23). → Manu Kapur 2023 (2)

Evidence¶

Manu Kapur 2023¶

Manu Kapur, Janan Saba and Ido Roll. (2023). Prior math achievement and inventive production predict learning from productive failure. npj Science of Learning 8:15. https://doi.org/10.1038/s41539-023-00165-y

q3 · i3 · associational · r2

MANCOVA of seventh-grade PSLE math grade and total score revealed a significant multivariate effect between schools, F(2, 109) = 282.97, p < 0.001, confirming the sampling of schools with very different achievement profiles.

"Compared to students from School B, students from School A achieved significantly higher PSLE scores, F(1, 110) = 464.42, p < 0.001, d = 5.34, and PSLE math grade, F(1, 110) = 110.44, p < 0.001, d = 2.12."

Manu Kapur 2023 (2)¶

Manu Kapur, Janan Saba and Ido Roll. (2023). Prior math achievement and inventive production predict learning from productive failure. npj Science of Learning 8:15. https://doi.org/10.1038/s41539-023-00165-y

q3 · i3 · associational · r2

MANCOVA of eighth-grade PSLE measures revealed a significant multivariate effect, F(2, 102) = 76.26, p < 0.001, establishing the large prior-achievement contrast used to test the study's conjectures.

"Compared to students from School B, students from School A achieved significantly higher PSLE scores, F(1, 103) = 154.02, p < 0.001, d = 2.49, and PSLE math grade, F(1, 103) = 35.47, p < 0.001, d = 1.23."

Discussion¶

Related Claims¶

• Prior math achievement has at most a small effect on learning from Productive Failure, and topic-specific prerequisite knowledge has none — related
• Students with very different prior math achievement generate similar numbers of representations and solution methods during Productive Failure — related
• The control and experimental schools did not differ significantly in PSLE entrance scores — reports the opposite