Prior math achievement has at most a small effect on learning from Productive Failure, and topic-specific prerequisite knowledge has none¶

Claim · All claims
Evidence · 1 study (2 entries) · associational r2 · q3
Currency · newest study 2023 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i? PSLE math grade significantly but weakly predicted ratios-posttest (F(1, 107) = 4.436, p = 0.032) and did not predict variance-posttest (F(1, 100) = 0.001, p = 0.980). → Manu Kapur 2023 q3 i? Topic-specific prerequisite knowledge did not significantly predict posttest performance in either unit. → 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 · i? · associational · r2

Variance-unit ANCOVA: PSLE math score, school, and prerequisite knowledge were not associated with posttest scores. In the ratios unit, PSLE math grade was significant but, per the discussion, only a small effect.

"PSLE math score, F(1, 100) = 0.001, p = 0.980, school, F(1, 100) = 2.394, p = 0.125, or Topic-specific prerequisite knowledge, F(1, 100) = 0.493, p = 0.484, we not associated with posttest scores."

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 · i? · associational · r2

Ratios-unit ANCOVA: topic-specific prerequisite knowledge and school did not significantly affect posttest performance. The discussion notes this aligns with Hartmann et al.'s finding that prerequisite knowledge did not affect post-test performance in the PF condition.

"Topic-specific prerequisite knowledge, F(1, 107) = 2.725, p = 0.102, and school, F(1, 107) = 0.522, p = 0.471, did not."

Discussion¶

Learner Variables¶

• Prior Knowledge — predictor: learners who differ on it differ in outcomes

Related Claims¶

• Number of generated solution methods is the strongest measured predictor of posttest learning from Productive Failure in both topics — related
• Students with very different prior math achievement generate similar numbers of representations and solution methods during Productive Failure — related
• The two schools differed drastically in prior math achievement as measured by the PSLE — related
• Pretest performance and average math grade correlate with conceptual knowledge but not procedural knowledge posttest scores — related
• Prior Knowledge Determines New Learning — a broader claim this one bears on