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What's the difference between number sense and quantity sense?
What is the difference between number sense and quantity sense, and what is the inseparable connection?

First of all, let's understand, what is a sense of number?

According to the 2022 edition of mathematics curriculum standard, number sense mainly refers to the intuitive perception of the relationship between logarithm and quantity, quantity and operation result. Sense of numbers refers to people's ability to use numbers and think about problems in mathematical ways. Number sense is the ability to directly perceive logarithm. Building a sense of numbers helps children understand the significance of numbers in real life. To sum up in a simple sentence, number sense is the ability to perceive numbers.

For example, very sensitive to numbers. When a supermarket sees a pile of candy, it will pay attention to the price tag and feel the approximate quantity. Seeing the tunnel entrance in front, I can feel that the truck I want to pass may not pass; There are also various feelings about speed, length and size, all of which are manifestations of number sense.

Secondly, what does sense of quantity mean?

A sense of quantity, as its name implies, is a sense of quantity, a sensory understanding of the quantity, size, length, thickness and weight of things. The definition in the new curriculum standard of 2022 edition is: intuitive perception of measurable attributes and size relationship of things.

A sense of quantity can be seen at any time in life. For example, children can roughly estimate the length of the desktop with their fingers, measure the length of the runway with the span of the steps, or quickly convert the weight in life into grams and kilograms, and how much a bottle of water weighs.

Simply put, "sense of quantity" is a kind of "feeling" about the size, weight, scale and speed of an object.

3. What is the difference and connection between number sense and quantity sense?

(1) They have different definitions and learning goals.

First of all, the definition is different. The sense of number emphasizes the perception of logarithm, while the sense of quantity emphasizes the perception of quantity.

Furthermore, the learning objectives are different. The study of number sense requires students to improve their ability to use numbers. Thinking in a mathematical way is more abstract and rational. The sense of quantity is an intuitive perception of the measurable nature and size relationship of things, which is more concrete and intuitive.

In addition, because of the different mathematical requirements, people with a good sense of numbers can easily extract numbers and clarify the relationship between numbers, so as to understand or solve related mathematical problems. The feeling of quantity reflects people's intuitive perception of quantity, the relationship between quantity and quantity, and the experience of the measurement process of quantity.

(2) Sense of quantity is an important part of sense of number.

The relationship between sense of quantity and sense of number is inseparable. The sense of quantity is an important part and an extension of the sense of quantity. In real life, the sense of quantity is the concrete expression of the sense of number. The cultivation of sense of quantity helps children to understand the concept of quantity, appreciate the size of quantity, strengthen their perception of quantity and improve their estimation ability.