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全日制中学数学教学大纲中明确指出:要重视能力的培养.而思维能力是诸能力的核心,因此应把数学教学看作是数学思维能力的培养、训练与提高活动的教学。创设求疑、猜想、尝试、验证、分析与综合的思维情境,提供知识的产生、发展的思维过程,着意塑造与优化学生思维素质.本文拟就数学思维过程的一个片断——思维的深化.谈谈个人的管见. 思维的深化即培养思维的深刻性的进程,其涵义是:1.在学习实践中善于挖掘和发现决定问题本质的信息;善于根据问題的结构特征,从元素间的联系或矛盾中深入一步思考;善于归纳、总结
The full-time secondary school mathematics syllabus explicitly states that: We must pay attention to the cultivation of ability. Thinking ability is the core of all abilities. Therefore, mathematics teaching should be regarded as the cultivation of mathematics thinking ability, training and improvement of activities. Create the thinking situation of doubting, guessing, trying, verifying, analyzing and integrating, providing the thinking process of knowledge generation and development, and aiming to shape and optimize student’s thinking quality. This paper proposes a piece of thinking process of mathematics - deepening of thinking. Talk about personal opinion. The deepening of thinking is the process of cultivating the deep thinking of thinking. Its meaning is: 1. It is good at excavating and discovering the information that determines the nature of the problem in learning and practice; good at the structural characteristics of the problem, from the elements Or deeper thinking in contradictions; good at induction, summary