The sense of number is mainly manifested in the following aspects:
(1) Understand the meaning of numbers;
(2) Numbers can be expressed in many ways;
(3) Being able to grasp the relative size relationship of numbers in specific situations;
(4) Numbers can be used to express and exchange information;
(5) being able to choose the appropriate algorithm to solve the problem;
(6) Be able to estimate the operation result and explain the rationality of the result.
Why is it important to cultivate a sense of numbers?
Just as art has a sense of beauty, music has a sense of music, Chinese and English have a sense of language, and mathematics also has a sense of numbers. The cultivation of number sense helps students to see the world from a mathematical point of view, observe and understand things around them with mathematical methods, and establish the relationship between practical problems and quantity. The cultivation of number sense is more conducive to the improvement of students' ability to ask and solve problems, which shows that it is necessary to cultivate students' number sense.
How to cultivate a sense of numbers
First, contact with students' life and gain a sense of number in life experience.
Mathematics comes from life and is higher than life. Cultivating students' sense of numbers is inseparable from their life experience. Children's life is rich and colorful, full of curiosity and imagination, and life is a treasure house of mathematics. In teaching, we should make full use of the materials around students and let them establish a good sense of numbers with mathematical significance.
Second, form a sense of number in communication and expression.
Create problem situations for students in teaching, so that students can learn from each other and learn from each other in the process of inquiry. Empirical numbers can be used to express and exchange information, so that students can expand their thinking, enrich their understanding of logarithm and appreciate the value of mathematics, thus promoting the formation of a sense of numbers.
Third, make full use of students' existing life experience, encourage estimation and cultivate a sense of numbers in estimation.
Estimation is a calculation method that can not be accurately calculated in daily life, or it is not necessary to calculate accurate results. It can reasonably estimate or infer the quantitative relationship and spatial form.
Fourth, cultivate a sense of numbers through observation and comparison.
Mastering the relative size relationship of numbers in a specific situation is not only the need to understand numbers, but also deepens students' understanding of the actual meaning of numbers, so that students have more or less, more or less, which is equivalent to doubling several times in comparison, and the sense of numbers is developed.
Fifth, strengthen the sense of number in solving problems.
Solving problems and explaining the rationality of the results need a certain sense of numbers, and at the same time strengthen the existing sense of numbers in the process of solving problems.
In a word, cultivating students' sense of numbers is one of the important goals of primary school mathematics education. As a front-line teacher, it is valuable for students' future life and work to consciously design specific goals, provide situations conducive to cultivating students' sense of numbers, formulate evaluation methods for students' sense of numbers, promote the establishment of students' sense of numbers, and improve their attribute literacy.