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人类的科学发现,社会的进步,是在人类不断苦苦探索,探求规律,总结规律,把握应用规律中进步的。而数学作为重要的育人工具,在培养学生发现、探求、应用规律中发挥着重要的作用。一般而言,它是经过对有限特殊的例子观察、猜想一般性的结论,再用这个结论去验证、证明,从而应用这个结论解决实际问题,这就是从特殊到一般的猜想归纳、综合总结,又从一般到特殊的应用演绎的过程。这一过程对培养学生能力至关重要。
The scientific discoveries of mankind and the progress of society are based on the constant efforts of mankind to explore, explore the law, sum up the law and grasp the progress made in the law of application. As an important tool of educating people, mathematics plays an important role in cultivating students’ discovering, exploring and applying rules. In general, it is through the observation and the conjecture of the general conclusion of the limited special cases, and then use this conclusion to verify and prove that this conclusion can be used to solve practical problems. That is to sum up and summarize the conjectures from the special to the general, And from general to special application of deductive process. This process is crucial to developing students’ abilities.