解决加减法计算问题的不同策略
Different Strategies in Solving Arithmetic Calculation Problems
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摘要: 为了清楚人脑进行加法计算和减法计算的神经机制,探索加法计算和减法计算的不同策略引起对应脑区激活差异,采用思维的自适应控制-理性(adaptive control of thought-rational,ACT-R)建模结合行为实验的方法从更细时间微粒对人类进行加法计算和减法计算的脑区协同工作原理进行研究. 行为实验结果反应时,加法运算的真实反应时为(1812.14±224.14)ms;减法运算的真实反应时为(2328.14±287.36)ms;加法运算的正确率为97.92%±2.67%,减法运算的正确率为74.38%±11.3%. ACT-R仿真实验结果为:ACT-R模拟反应时,加法运算为1813.96ms;减法运算为2314.53ms;模拟结果和真实结果的血氧水平依赖(blood oxygen level dependent,BOLD)信号变化率在左侧前额皮层(left prefrontal cortex,LPFC)脑区拟合结果为96%,在后顶叶(posterior parietal cortex,PPC)脑区拟合结果为98%. 实验结果表明:人脑完成减法计算比完成加法计算更为复杂.Abstract: To make the brain neural mechanism of the addition and subtraction calculation clear and explore different strategies of the addition and subtraction calculations corresponding to the activating differences of the brain regions. An ACT - R model of meeting behavior experiment method was adopted to study the cognitive processing mechanism of the addition and subtraction calculations in finer time particles. The behavioral experiment results show that the the reaction time of the addition is (1812.14±224.14)ms and the subtraction is (2328.14±287.36)ms. And the accuracy of the addition is 97.92%±2.67%, while the subtraction is 74.38%±11.3%. The ACT - R model results show that when in ACT-R simulation, the addition is 1813.96ms, while the subtraction is 2314.53ms. And the fitting result between the model result and the real result of BOLD response in LPFC is 96%, while in PPC is 98%. Results show that the subtraction is much more complex than the addition.