Nc. Jordan et al., ASSESSING EARLY ARITHMETIC ABILITIES - EFFECTS OF VERBAL AND NONVERBAL RESPONSE TYPES ON THE CALCULATION PERFORMANCE OF MIDDLE-AND LOW-INCOME CHILDREN, Learning and individual differences, 6(4), 1994, pp. 413-432
In two studies, we compared young children's performance on three vari
ations of a nonverbally presented calculation task. The experimental t
asks used the same nonverbal mode of presentation but were varied acco
rding to response type: (1) putting out disks (nonverbal production);
(2) choosing the correct number of disks from a multiple-choice array
(nonverbal recognition); and (3) giving a number word (verbal producti
on). The verbal production task required children to map numerosities
onto the conventional number system while the nonverbal production and
nonverbal recognition tasks did not. Study 1 showed that the performa
nce of 3-, 4- and 5-year-old middle-income children (N = 72) did not v
ary with the type of response required. Children's answers to nonverba
lly presented addition and subtraction problems were available in both
verbal and nonverbal forms. In contrast, Study 2 showed that low-inco
me children (3- and 4-year-olds; N = 48) performed significantly bette
r on both nonverbal response type tasks than on the verbal response ty
pe task. Analysis of individual data indicated that a number of the lo
w-income children were successful on the completely nonverbal calculat
ion tasks, even though they had difficulty with verbal counting (i.e.,
set enumeration and cardinality). The findings suggest that the abili
ty to calculate does not depend on mastery of conventional symbols of
arithmetic.