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数学教学包括传授数学知识和培养数学能力两个方面,能力的培养比知识的传授更显重要。因此,我们应针对思维活动中的关键环节进行行之有效的数学思维能力的训练,克服思想障碍,从而达到改善思维品质,培养创新精神和创造能力,适应时代发展的要求的目的。一、创造性思维的产生机制创造性思维是人脑的一种综合性思维,是思维活动的最高表现形式。它的产生是多因素、多变量、多层次的,表现形式也是多种多样的。数学中的创造性思维至少应是下列因素交互作用的结果。（1）知识积累——原有知识（包括基本技能）和与当前问题有关的知识信息。（2）逻辑思维能力——归纳、类比、分析、综合、抽能、慨括、具体化等。（3）非逻辑思维能力——想象（幻想、联想）、直觉、灵感等。（4）非智力品质——兴趣、爱好、动机、需要、情感等。（5）思维耐力品质——意志品质,探知精神。
Mathematics teaching includes teaching mathematics knowledge and training mathematics ability two aspects, ability training is more important than knowledge imparting. Therefore, we should try our best to train the ability of mathematical thinking in the key links of thinking activities, overcome the ideological obstacles, and achieve the goal of improving the quality of thinking, cultivating the creative spirit and creativity, and adapting to the requirements of the development of the times. First, the creative mechanism of creative thinking Creative thinking is a kind of comprehensive thinking of the human brain, is the highest manifestation of thinking activities. Its production is multi-factor, multivariate, multi-level, manifestations are varied. Creative thinking in mathematics should be at least the result of the interaction of the following factors. (1) accumulation of knowledge - original knowledge (including basic skills) and knowledge of the current issues related to the information. (2) logical thinking ability - induction, analogy, analysis, synthesis, pumping energy, generous, specific and so on. (3) non-logical thinking ability - imagination (fantasy, association), intuition, inspiration and so on. (4) non-intellectual quality - hobbies, hobbies, motives, needs, emotions and so on. (5) thinking of endurance quality - will of quality, to explore the spirit.