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文[1]说:“学生在数学思维活动中,并不是一环扣一环地、完整地、详细地、按部就班地进行的,而总是力求以简略的即‘压缩’的结构来思维。”又说:“思维简缩的极限形式,即思维简缩到极限状态,这便是通常所说的直觉思维了…直觉意指直感或直接的理解与顿悟。”笔者认为这类思维活动所体现出的心理特征可称为数学悟性。本文将对数学悟性及其功能进行一些初步的探词。
The article [1] states: “Students do not work in a comprehensive, detailed, and step-by-step manner in mathematics thinking activities. They always try to think in a simplified, or compressed, structure. ”And he said:“ The limit form of mindset reduction, that is, thinking is reduced to the limit state, this is what is commonly called intuition thinking... Intuition means intuitive or direct understanding and epiphany.” I think this type of thinking activity is reflected The psychological features can be called mathematical savvy. This article will make some preliminary explorations of the understanding of mathematics and its functions.