Number and algebra are important areas of mathematics learning for students in compulsory education. The primary school stage includes two themes: "number and operation" and "quantitative relationship". The contents of the learning section are interrelated, from shallow to deep, step by step, spiraling up, forming a relatively systematic knowledge structure.
"Number and operation" includes the understanding of integers, decimals, fractions and their four operations. Number is the abstraction of quantity, and the operation of number focuses on understanding arithmetic and mastering algorithm. Numbers are closely related to operations. Students experience the formation process from quantity to number, and understand and master the concept of number; Experience the exploration process of arithmetic and algorithm, understand arithmetic and master algorithm.
The initial understanding of logarithm is the abstraction of quantity, and the concept of number is essentially the same, forming a sense of number and symbol consciousness; Understand the operation of numbers and the relationship between them, understand the essential consistency of digital operation, and form the operation ability and reasoning consciousness.
"Quantitative relationship" mainly uses symbols (including numbers) or formulas containing symbols to express the relationship or law between quantities. Students experience the process of using quantitative relations to solve problems in specific situations, understand the significance of addition model and multiplication model, improve their ability to find and ask questions, analyze and solve problems, and form model consciousness and preliminary application consciousness.
The teaching of digital cognition should provide students with familiar situations and let them feel the quantity in specific situations. With the help of small squares, disks and sticks, we can use corresponding methods to represent the same quantity, and then transition to digital representation, so that students can realize that a digital symbol can represent the same quantity.
You know, numbers on different numbers represent different values. In teaching, it should be noted that the teaching focus of numbers within 10 is to let students experience 1? 9 the abstract process from quantity to number, through 9 plus 1 is ten, understand the expression of ten and 1 The difference of 9 is to write 1 in the new position, which is called ten digits. 1 on the ten digits means 1 ten digits, and 1 ten digits are represented by the numeral symbol 10. Similarly, you should know the number within a hundred and the number within ten thousand.
Understand the relationship between numbers by comparison. In such teaching activities, help students form a preliminary understanding of symbols and numbers.