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Gray, C. & G. Mulhern (1995). Does children's memory for addition facts
predict general mathematical ability? Perceptual and Motor
Skills. v81, pp163-167.
Author of the summary: Jim Davies, 1999, firstname.lastname@example.org
Cite this paper for:
10 year olds are given simple addition problems (x + y = ? where x and
y are single digits.. Which of the following structural variables best
predicts the RT (reaction time)?
- Automaticity of addition facts correlates with math ability
- The smaller number in the fact is correlated with RT
- X (first digit)
- Y (second digit)
- MIN (smaller of X and Y)
Number of Subjects: 21
Kind of Subjects:
5th graders, 11 girls, 10 boys, mean age 9.7
Were presented addition facts on a computer. RT was measured. There
were 100 trials, with all possible pairings of numbers 0-9. Also a
test of math abitlity was given a week earlier (Group Mathematics Test C).
Maybe there is a causal relationship between memorized addition facts
and math ability?
How automatized are addition facts in 10 yr olds?
Results support the MIN model, with time increasing linearly for
nontie problems (X and Y are not equal). Note that MIN is highly
intercorrelated with other predictor variables, so six seperate
bivariate regression analyses were performed for each S (subject).
All 21 children obtained best fit fir MIN (p<.0005). Tie
problems were constant. The automaticity was operationalized
to be the difference between the time on the tie problems
as compared to the non-ties.
There is a relationship between automaticity and math
Correlates -.45 (p < .05).
Summary author's notes:
- Adults have more retrieval, and kids have more counting.
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