id: 06655414
dt: j
an: 2016f.00843
au: Rau, Pei-Luen Patrick; Xie, Anping; Li, Ziyang; Chen, Cuiling
ti: The cognitive process of Chinese abacus arithmetic.
so: Int. J. Sci. Math. Educ. 14, No. 8, 1499-1516 (2016).
py: 2016
pu: Springer Netherlands, Dordrecht
la: EN
cc: F30 U60 C30
ut: abacus arithmetic; cognitive process; mental arithmetic method; procedure
method; retrieval method
ci:
li: doi:10.1007/s10763-015-9658-x
ab: Summary: Based on the literature review about abacus arithmetic, this study
proposes a model of the cognitive process of Chinese abacus arithmetic.
This model describes three methods for solving abacus arithmetic
problems: retrieval method, procedure method, and mental arithmetic
method and three external factors that affect the choice of those
methods: level of expertise, level of difficulty, and type of
operation. The experiment in the study invited 36 participants
including 12 vocational high-school students as junior experts, 12
ordinary high-school students as novices, and 12 bank clerks as senior
experts to validate the $3\times 3 \times 2$ experiment. The results of
this study indicate that (1) the retrieval method, procedure method,
and mental arithmetic method are the three main calculation methods of
abacus arithmetic, each of them having some variations; (2) experts
tend to use the retrieval method, while novices tend to use the mental
arithmetic method; (3) the retrieval method and mental arithmetic
method are applied more for simple operations and addition problems,
while the procedure method is applied more for complicated operations
and subtraction problems.
rv: