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分析與綜合是認識的基本方法。“…思維,——恩格斯說——不僅在於把同類的因素,綜合减為統一體,而且更在於以同樣的程度把意識的對象分解成它們的因素,沒有分析,不會有綜合。”在我們的訓練方法與實践中,分析與綜合不應被看作是各個隔離的,而是彼此成為辯証的統一體。事實上,不但在解複雜習題中,而且就是在解簡單的一次運算的習题中,學生往往同時採用分析與綜合,如果學生從習題的已知部分過渡到題中的問题,或是從習題中的問題開始,組織了解題計劃,並選擇了由問題所供給的解題所必需的資料(已知數)——在兩種情形中,他既要利用分析,又要利用綜合。
Analysis and synthesis are the basic methods of understanding. “...thinking,” Engels said, is not only to reduce the same kind of factors into a unity, but also to decompose the objects of consciousness into their factors to the same degree. Without analysis, there will be no synthesis.” In our training methods and practices, analysis and synthesis should not be seen as separate, but rather as dialectical unity. In fact, not only in the solving of complex exercises, but also in solving a simple one-completion exercise, students often use analysis and synthesis at the same time, if the student transitions from the known part of the problem to the problem in the problem, or from the problem The problem in the beginning begins when the organization understands the problem plan and selects the information (known number) necessary to solve the problem provided by the problem. In both cases, he uses both analysis and synthesis.