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数学教育的基本目标之一是在传授知识的同时,发展和培养学生的数学能力。衡量数学教学是否有成效,关键看是否提高学生的数学思维能力水平。高中学生应当具有较高的理性思维能力,社会的责任感,学会批判性的思考。数学思维能力在其中起着独特的作用。数量感觉与形式判断、数据收集与分析、归纳猜想与合情推理、逻辑思考与严密证明、抽象表示与数学交流等都是数学科学所特有的思维能力。《标准》从三个方面阐述了数学能力。
One of the basic goals of mathematics education is to develop and develop students’ mathematical abilities while imparting knowledge. To measure the effectiveness of mathematics teaching, the key is to improve students’ ability of thinking in mathematics. High school students should have a higher ability of rational thinking, social responsibility, learn critical thinking. Mathematical thinking in which plays a unique role. Quantitative feeling and form judgment, data collection and analysis, inductive guess and reasoning, logical thinking and rigorous proof, abstract representations and mathematical exchanges are all mathematical thinking unique thinking ability. The standard expounds mathematical ability in three aspects.