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“问题是数学的心脏”,这是数学家哈尔莫斯说的一句名言。数学之所以能成为锻炼思维的体操,是因为数学发展始终都在不断地提出问题和解决问题。事实上,问题也是教学的出发点,是思维的起点,有问题才会去思考解决的办法。数学教学正是在不断提出问题、解决问题的循环反复的过程中培养、发展和提高学生的思维品质与学习能力,在教学过程中,“问题”(包括提出问题和解决问题两个方面)的形成、推证和探索过程的质量是衡量数学教学效益和活力的最重要指标,所以“问题”确是数学教学的心脏。
“The problem is the heart of mathematics.” This is a famous saying by mathematician Harmos. The reason why mathematics can become the gymnastics of exercise thinking is because the development of mathematics has been constantly raising questions and solving problems. In fact, the problem is also the starting point of teaching and the starting point of thinking. Only when there are problems can we think about solutions. Mathematical teaching is to train, develop and improve students’ thinking quality and learning ability in the course of constantly raising questions and solving problems. In the teaching process, “problems” (including the two aspects of asking questions and solving problems) The quality of the process of formation, promotion, and exploration is the most important measure of the effectiveness and vitality of mathematics teaching. Therefore, “problems” are indeed the heart of mathematics teaching.