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Notation-Independent Representation of Fractions in the Human Parietal Cortex

机译:人顶叶皮质中分数的独立于表示法的表示

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摘要

Although the concept of whole numbers is intuitive and well suited for counting and ordering, it is with the invention of fractions that the number system gained precision and flexibility. Absolute magnitude is encoded by single neurons that discharge maximally to specific numbers. However, it is unknown how the ratio of two numbers is represented, whether by processing numerator and denominator in separation, or by extending the analog magnitude code to relative quantity. Using functional MRI adaptation, we now show that populations of neurons in human fronto-parietal cortex are tuned to preferred fractions, generalizing across the format of presentation. After blood oxygen level-dependent signal adaptation to constant fractions, signal recovery to deviant fractions was modulated parametrically as a function of numerical distance between the deviant and adaptation fraction. The distance effect was invariant to changes in notation from number to word fractions and strongest in the anterior intraparietal sulcus, a key region for the processing of whole numbers. These findings demonstrate that the human brain uses the same analog magnitude code to represent both absolute and relative quantity. Our results have implications for mathematical education, which may be tailored to better harness our ability to access automatically a composite quantitative measure.
机译:尽管整数的概念很直观,并且非常适合于计数和排序,但是分数的发明正是使数字系统获得了精度和灵活性。绝对大小由最大放电到特定数量的单个神经元编码。然而,未知是如何表示两个数字的比率,无论是通过分离处理分子和分母,还是通过将模拟量级码扩展为相对量。使用功能性MRI适应,我们现在显示人额顶叶皮层中的神经元群体已调整为首选部分,并在整个展示形式中得到了概括。在血氧水平依赖性信号适应于恒定分数之后,信号恢复至偏离分数的信号根据偏离分数与适应分数之间的数值距离进行参数调节。距离效应对于从数字到单词分数的符号变化是不变的,并且在前顶壁沟中是最强的,整数是处理整数的关键区域。这些发现表明,人脑使用相同的模拟量级代码来表示绝对量和相对量。我们的结果对数学教育产生了影响,可以对其进行量身定制,以更好地利用我们自动获得复合定量度量的能力。

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