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训练是培养和提高学生数学能力的重要手段（一）马芯兰数学高度的抽象性和严谨的逻辑性，决定了数学这门学科在训练学生思维，培养学生能力方面有着特殊的作用。数学能力是要通过各种训练才能逐步形成的。训练不仅是知识的再现，更重要的是旧中有新，这个“新”包含了新知...
Training is an important means for cultivating and improving students’ mathematics ability. (1) The highly abstract and rigorous logic of Ma Xinlan’s mathematics determines that mathematics has a special role in training students’ thinking and cultivating their abilities. Mathematical ability is gradually formed through various trainings. Training is not only a reproduction of knowledge, but more importantly, there are new and old ones. This “new” contains new knowledge...