UC知道心理学报告翻译
来源：百度知道 编辑：UC知道 时间：2024/06/07 16:45:09
Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence
1.Does the human capacity for mathematical intuition depend on linguistic competence or on visuo-spatial representations? A series of behavioral and brain-imaging experiments provides evidence for both sources. Exact arithmetic is acquired in a language-specific format, transfers poorly to a different language or to novel facts, and recruits networks involved in word-association processes. In contrast, approximate arithmetic shows language independence, relies on a sense of numerical magnitudes, and recruits bilateral areas of the parietal lobes involved in visuo-spatial processing. Mathematical intuition may emerge from the interplay of these brain systems.
2.Will it ever happen that mathematicians will know enough about the physiology of the brain, and neurophysiologists enough of mathematical discovery, for efficient cooperation to be possible? [Jacques Hadamard ( 1)]
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1.Does the human capacity for mathematical intuition depend on linguistic competence or on visuo-spatial representations? A series of behavioral and brain-imaging experiments provides evidence for both sources. Exact arithmetic is acquired in a language-specific format, transfers poorly to a different language or to novel facts, and recruits networks involved in word-association processes. In contrast, approximate arithmetic shows language independence, relies on a sense of numerical magnitudes, and recruits bilateral areas of the parietal lobes involved in visuo-spatial processing. Mathematical intuition may emerge from the interplay of these brain systems.
2.Will it ever happen that mathematicians will know enough about the physiology of the brain, and neurophysiologists enough of mathematical discovery, for efficient cooperation to be possible? [Jacques Hadamard ( 1)]
., …..3..
心理学分析第五章
数学认为的来源： 关于行为和脑子想象证据1.人的容量为数学直觉取决于语言能力或visuo空间表示法？ 一系列的关于行为和脑子想象实验为两个来源提供证据。 确切的算术获取以特定语言的格式，不足转移到一种不同的语言或到新颖的事实，并且吸收在词协会过程介入的网络。 相反，近似算术显示语言独立，依靠数字巨大感觉，并且吸收在visuo空间处理介入的顶叶的双边区域。 数学直觉也许从这些脑系统互相作用涌现。 2.它偶然数学家将知道足够关于脑子的生理和足够神经生理学家数学发现，为了高效率的合作能是可能的？ [雅克哈达玛 (1)]。..... 3。近来，唯一的信息源关于用于数学的精神表示法的是数学家的内省。 雄辩的支持为看法数学依靠visuo空间而不是语言过程来自艾伯特 爱因斯坦，陈述： “词和语言，写或讲了话，是否在我的想法过程中不似乎起任何作用。 起积木作用对于我的想法的心理个体某些标志或图象，更或较不确切，我可以任意再生产和再结合" (2)。 许多数学家报告相似的经验(1， 3)，但一些强调了语言和其他正式标志系统扮演的关键的角色在数学(4)。 仍然其他主张提升新的数学洞察的重要过程是不透明的到知觉并且与明确想法过程(1， 3， 5)不同。