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摘 要
推理与我们的生活息息相关 一个人推理能力的大小 往往关系到事情的成败
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以及个人的成长和发展
人们早已深信不疑
是公民必备的基本能力
数学对发展推理能力的作用
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首先
本easoning ability, on that the article put
forward the point that the students’ disciplinarian of cognitive development is the
precondition and foundation of the mathematical education. So the mathematical
teaching progress about developing the middle school students’ reasoning ability should
be conscious of their different levels on their corresponding cognitive periods.
The mathematical textbook is the chief source of teaching and studying, and relates
to the quality of the mathematical education. The eligible textbook is compiled in the
different periods effectively according to the levels of the students’ cognitive ability, in
order to improve their reasoning ability. The article analyzed the process of active
geometry textbook on Mathematics Teaching Program and experimental one on
Mathematics Curriculum Standard in developing of junior high school students’
mathematical reasoning ability. By demurely analyzing the article compartmentalized
the two textbooks stages about training the students’ mathematical reasoning ability.
Finally, the article comment ed on the rationality of the method of each compilation
in the geometry textbook according to the cognitive development theory of and
mathematical educational achievement.
key words
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mathematical reasoning
deductive reasoning ability
reasoning ability of mathematics
plausible reasoning ability
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development of cognition
textbook
characteristic of phases
3
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对数学推理的概述
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牛顿从苹果落地受到启发 发现并证明了万有引力定律
解决了困扰人们几
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十年的一个物理学难题
这个故事大家都十分熟悉
可谓妇孺皆知
其过程充分
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体现了推理这一思维形式 苹果为什么不往天上飞
也不向前后左右掉
而偏偏
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是垂直地往地上落呢
那么一定有什么东西
地球在向下吸引它
既然苹果与
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地球之间存在吸引力
那么其它任何两个物体之间呢
经过一系列的推理
导出
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了万有引力定律 这类事例不胜枚举
推理贯穿其中
举足轻重 它作为发现和
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论证真理的主要思维形式 为我们开启了科学之门
奥
带领着我们去探索科学的堂
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在