First graders' whole number arithmetic knowledge predicts seventh graders' fraction arithmetic knowledge¶

Claim · All claims
Evidence · 1 study · associational r2 · q3
Currency · newest study 2014 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i? After controlling for whole number magnitude knowledge and other first-grade variables, fraction arithmetic in middle school was uniquely predicted by whole number arithmetic in first grade, β = .29, p < .001. → Bailey Drew H. 2014

Evidence¶

Bailey Drew H. 2014¶

Bailey Drew H., Siegler Robert S., Geary David C. (2014). Early Predictors of Middle School Fraction Knowledge. Developmental Science. https://doi.org/10.1111/desc.12155

q3 · i? · associational · r2

Linear regression (N = 172) predicting seventh-grade fraction arithmetic from first-grade predictors; the article reports "uniquely predicted by whole number arithmetic in first grade, β =.29, p < .001". The whole number magnitude path (β = .20, p = .019) fell just short of the .01 alpha level.

"A parallel linear regression analysis showed that as expected, after controlling for the other variables measured in first grade, fraction arithmetic in middle school was uniquely predicted by whole number arithmetic in first grade, β =.29, p < .001 (Table 2, middle column)."

Discussion¶

Learner Variables¶

• Proportional Reasoning — predictor: learners who differ on it differ in outcomes

Related Claims¶

• Middle school fraction magnitude knowledge fully mediates the relation between first-grade whole number magnitude knowledge and middle school fraction arithmetic — related
• Contrary to hypothesis, first graders' whole number arithmetic knowledge predicted eighth graders' fraction magnitude knowledge — related
• First graders' whole number magnitude knowledge predicts eighth graders' fraction magnitude knowledge after controlling for arithmetic, cognitive, and demographic variables — related
• Arithmetic skill may predict algebra understanding better than fraction conceptual knowledge or magnitude understanding — related