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培养学生具有“创新意识”是中学数学教学的重要目标和一条重要原则。这里的“创新意识”不同于“创新能力”；这里的“创新”也不同于数学研究中的“创新”。它的基本含义是，使学生具有举一反三的能力，穷本溯源的精神和敢于探索的勇气。培养学生的数学创新意识，对教师的教育思想和教学方法提出了新的挑战，文章对此提出了一些有益的建议。
Training students with “innovative awareness” is an important goal and an important principle in secondary school mathematics teaching. Here, “innovation consciousness” is different from “innovation ability”; “innovation” here is also different from “innovation” in mathematical research. Its basic meaning is to enable students to have one thing in the back, ability to trace the source and the courage to explore. Fostering students ’awareness of mathematical innovation poses new challenges to teachers’ educational thinking and teaching methods, and the article makes some helpful suggestions.