zhang, y., chen, c., liu, h., cui, j., & zhou, x. (2016). both non-symbolic and symbolic quantity processing are important for arithmetical computation but not for mathematical reasoning. journal of cognitive psychology, 1-18.
zhang, y., chen, c., liu, h., cui, j., & zhou, x. (2016). both non-symbolic and symbolic quantity processing are important for arithmetical computation but not for mathematical reasoning. journal of cognitive psychology, 1-18.
abstract: this study investigated whether numerical processing was important for two types of mathematical competence: arithmetical computation and mathematical reasoning. thousand eight hundred and fifty-seven chinese primary school children in third through sixth grades took eight computerised tasks: numerical processing (numerosity comparison, digit comparison), arithmetical computation, number series completion, non-verbal matrix reasoning, mental rotation, choice reaction time, and word rhyming. hierarchical regressions showed that both non-symbolic numerical processing (numerosity comparison) and symbolic numerical processing (digit comparison) were independent predictors of arithmetical computation but neither was a predictor of mathematical reasoning (assessed by number series completion). these findings suggest that the cognitive basis of mathematical performance varies depending on the type of mathematical competence measured.
keywords: approximate number system; mathematical cognition; arithmetical computation; mathematical reasoning
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