【摘 要】
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通过数学教学培养学生的想象力,这是由中学的数学教学目的决定的。按传统意识,培养想象力主要是高中立体几何的任务。其实这种认识是不全面的。这是因为:第一,数学中的想象
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通过数学教学培养学生的想象力,这是由中学的数学教学目的决定的。按传统意识,培养想象力主要是高中立体几何的任务。其实这种认识是不全面的。这是因为:第一,数学中的想象力实质上就是数学中的形象思维。它与逻辑思维和运算是互相促进,相辅相成的,因而它不仅在立体几何,而且在平面几何、代数和三角中都扮演着重要角色。比如,对于抽象的代数概念,只要了解了其几何意义,就会感到
Through the teaching of mathematics to develop the imagination of students, which is determined by the purpose of teaching mathematics in high school. According to the traditional consciousness, to cultivate the imagination is mainly the task of high school three-dimensional geometry. In fact, this understanding is not comprehensive. This is because: First, the imagination in mathematics is essentially the image of thinking in mathematics. It is with logical thinking and computing are mutually reinforcing and mutually reinforcing, so it not only in the three-dimensional geometry, but also in plane geometry, algebra and trigonometry plays an important role. For example, the concept of abstract algebra can be felt as long as its geometry is known
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