P. Barrouillet et al., SELECTING BETWEEN COMPETITORS IN MULTIPLICATION TASKS - AN EXPLANATION OF THE ERRORS PRODUCED BY ADOLESCENTS WITH LEARNING-DIFFICULTIES, International journal of behavioral development, 21(2), 1997, pp. 253-275
Two experiments were conducted in order to determine the nature of the
difficulties encountered by learning disabled (LD) adolescents in the
resolution of multiplication problems (a x b, where a and b vary betw
een 2 and 9). A response production task (Experiment 1) revealed that
the incorrect responses generally belonged to the table of one of the
two operands, and that the order of difficulty of the problems was the
same for the LDs as for normal children, adolescents, and educated ad
ults as reported in the literature. This result suggests that the diff
iculties are not solely due to memory problems. Experiment 2 tested th
e hypothesis that these difficulties were caused by a problem in inhib
iting the incorrect responses from a set of possible responses. Subjec
ts completed a multiple response task in which the correct response wa
s presented along with three distracters. The level of interference be
tween the correct response and the distracters was varied by manipulat
ing the nature of the distracters (Null Interference, NI: numbers that
did not belong to the multiplication table; Weak Interference, WI: nu
mbers belonging to other tables than those of a and b; Strong Interfer
ence, SI: numbers belonging to the tables of either a or b). The SI co
ndition resulted in a higher level of errors than the NI and WI condit
ions and there was no difference between these latter two conditions.
This result suggests that the main difficulty encountered by LD subjec
ts is associated with inefficient inhibition of incorrect responses. T
hus, the mobilisation of inhibitory processes seems to be an important
stage in the development of multiplication skills.