Abstract
In Japanese primary schools, children are required to learn the kuku (“nine nines”) method of multiplication during the formal course of mathematics. When learning, they are taught to recite it as though reciting a Chinese poem or chanting. In the present study, we undertook an experiment designed to examine the role of learing the Japanese kuku multiplication chant in arithmetic operations by requiring the participants to solve the three types of simple arithmetic problems. In each problem presentation, an equation of simple addition (e.g., 3 (three) added to 4 (four) makes 7 (seven)), of simple multiplication (e.g., 3 (three) multiplied by 4 (four) is 12 (twelve)), or of kuku (e.g., 3 (three) 4 (fours) 12 (twelve)) was auditorily presented with either the addend or augend in the addition, or the multiplicand or multiplier in the multiplication or kuku always being acoustically masked by peep sounds so that the participants did not hear the numbers masked. Comparison of the latency to their answer across the three types of problems revealed that as a consequence of learning kuku, a learner could produce the answers for the arithmetic multiplication problems as well as the answers for the kuku problems relatively more easily as compared to the arithmetic addition problems. Implications of the results are argued with reference to the cognitive load theory, a theory of learning and education which underwent substantial development and expansion during last two decades.
Highlights
Numbers might be considered a very recent cultural invention in the evolution of the human species
In order to pursue this issue, in the present study, we investigated the role of learning the Japanese kuku multiplication chant in arithmetic operations in the formal mathematics
Multiple comparison analyses revealed that RT when the addition problems were presented was significantly longer than that when multiplication problems were presented (p < .01) and that when kuku problems were presented (p < .001)
Summary
Numbers might be considered a very recent cultural invention in the evolution of the human species. Number words and digits arise from the human and evolutionarily recent ability to create and mentally manipulate complex symbols. A sensitivity to numerical properties of the world is present even in nonhuman species (Dehaene, 1997; Dehaene, Dupoux, & Mehler, 1990; Gallsitel & Gelman, 1992). When deciding to drive the intruders off or not, they evaluate the number of intruders just by hearing the roars produced (McComb, Packer, & Pusey, 1994). Previous evidence consistently indicates that this mental magnitude representation supports the more complex symbolic numerical capabilities developed by humans alone
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