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数感是人对数与运算的一般理解,这种理解可以帮助人们用灵活的方法作出数学判断和为解决复杂的问题提出有用的策略。它是一种主动地、自觉地或自动化地理解数和运用数的态度和意识。主要表现在:理解数的意义;能用多种方法来表示数;能在具体情境中把握数的相对大小关系;能用数来表达和交流信息;能为解决问题而选择适当的算法;能估计运算的结果,并对结果的合理性作出解释。培养学生的数感是数学教师的重点工作,数感的建立是提高学生数学素养的重要标志,对学生的发展具有重要的意
Sense of number is a general understanding of human logarithms and operations that can help people make mathematical judgments in a flexible way and put forward useful strategies for solving complex problems. It is a self-consciously or automatically understanding of the number and the use of the number of attitudes and awareness. Mainly in: to understand the meaning of number; can use a variety of ways to represent the number; in a specific context to grasp the relative size of the number of relations; can use the number to express and exchange information; can solve the problem and choose the appropriate algorithm; Estimate the result of the operation and explain the rationality of the result. It is an important task for mathematics teachers to cultivate the sense of number of students. The establishment of number sense is an important symbol of improving students’ mathematical accomplishment and has an important meaning for the development of students