Visual fraction models yield more accurate magnitude comparisons than Arabic numeral fractions for all ability groups, but the visual model advantage persists through Grade 8 only for children with MLD¶

Claim · All claims
Evidence · 1 study (2 entries) · associational r2 · q3 · i3 large
Currency · newest study 2013 · checked against its sources 2026-10-18 (automated, 2 of 2 entries) · not reviewed by a person

Subclaims¶

q3 i3 Item format accounted for significant variance in accuracy, with matching-parts visual models easiest and Arabic numerals hardest. → Mazzocco 2013 q3 i3 The Format × MLD Status interaction was significant, with the format effect largest for the MLD group (η2p = .889). → Mazzocco 2013 (2)

Evidence¶

Mazzocco 2013¶

Mazzocco, M. M. M., Myers, G. F., Lewis, K. E., Hanich, L. B., & Murphy, M. M. (2013). Limited knowledge of fraction representations differentiates middle school students with mathematics learning disability (dyscalculia) vs. low mathematics achievement. Journal of experimental child psychology, 115(2), 371-387. https://doi.org/10.1016/j.jecp.2013.01.005

q3 · i3 · associational · r2

A 4 (Format) × 5 (Grade) × 3 (MLD Status) ANOVA on one-half items compared Arabic numeral fractions with three visual-model formats. Format was significant, η2p = .604; the article reports accuracy was "greatest when visual models involved matching parts (units of comparable sizes), and lowest when fractions were represented by Arabic numbers".

"Item Format accounted for significant variance in performance accuracy, Wilks’ Lambda F(3, 117) = 59.54, p < .001, η2p = .604, and all pairwise comparisons of the four item formats reached statistical significance"

Mazzocco 2013 (2)¶

Mazzocco, M. M. M., Myers, G. F., Lewis, K. E., Hanich, L. B., & Murphy, M. M. (2013). Limited knowledge of fraction representations differentiates middle school students with mathematics learning disability (dyscalculia) vs. low mathematics achievement. Journal of experimental child psychology, 115(2), 371-387. https://doi.org/10.1016/j.jecp.2013.01.005

q3 · i3 · associational · r2

The Format × MLD Status interaction (Wilks’ Lambda F(6, 234) = 8.73, p < .0001, η2p = .183) prompted within-group analyses. The article reports "the effect size of Item Format was comparable for the TA and LA groups" but "larger still for the MLD group, η2p = .889".

"the effect size of Item Format was comparable for the TA and LA groups, η2p = .508 and .546, respectively; and larger still for the MLD group, η2p = .889."

Discussion¶

Learner Variables¶

• Learning Disabilities and Developmental Differences — moderator: an instructional effect differs with it
• Number Sense — outcome: instruction changes it
• Proportional Reasoning — outcome: instruction changes it

Related Claims¶

• The one-half advantage in fraction comparison emerges by Grade 4 for TA children and Grade 5 for LA children, but only at Grade 7 for children with MLD, who never exceed ~75% accuracy on one-half items — related
• Group differences in fraction comparison accuracy persist when full scale IQ is included as a covariate — related
• Children with MLD are less accurate than TA peers on symbolic fraction magnitude comparisons from Grades 4 to 8 and than LA peers from Grade 5, with no group differences in growth rates on the total score — related
• Visualization format has a large multivariate and univariate effect on identifying motions and spatial arrangements — related
• Fraction pairs with common denominators are compared more accurately than pairs with common numerators, but children with MLD show a crossover, improving on common numerator items while declining on common denominator items — related
• Mathspace dynamic representations, such as fraction smart shapes, let students see how changing the number of equal parts alters part size while the whole stays the same — related
• The comparison of decimal fractions undergoes developmental changes over the course of learning — related