论文部分内容阅读
数学的抽象体现在她撇开了事物的具体内容,抽象出其本质属性。如“4个小朋友在浇水,又来了3个小朋友”和“4个蘑菇再添上3个蘑菇”等等,都可以用4+3来表示,它不再有具体事物的量,只抽象出数,把数合起来,从而得出加法的运算意义和法则;又如“直线”的概念,它抛开了粗细、质地、“有形”等无关因素,抽象出“向两端无限伸长”这一本质属性。数学的严谨体现在它的符号体系、公式结构、图像语言、数量关系等,思维要求逻辑严谨,推理须步步有据。如“从张强家到学校的路程是600米,他步行速度是60米/分,从家出发步行9分钟能到达学校吗?”
Mathematical abstraction is reflected in the fact that she leaves aside the specific contents of things and abstract their essential attributes. Such as “4 children in the water, then 3 children” and “4 mushrooms add 3 mushrooms” and so on, can be used 4 +3 to indicate that it no longer have specific things Quantity, only the number of abstraction, the number together, to arrive at the operational meaning and law of addition; Another example is the “straight line” concept, which throws the thickness, texture, “tangible Out of the infinite extension to the ends of this essential attribute. Mathematical rigor is embodied in its symbolic system, formula structure, image language, quantitative relations, and so on. Logical thinking requires rigorous logic and reasoning should be based on step by step. Such as ”from Zhang Qiang home to the distance of 600 meters, his walking speed is 60 m / min, 9 minutes walk from home to reach the school?"