Method 1: Draw lines.

Analysis: In this question, you can use the line chart to change "take out half of 1 stamp" into "take out half of stamps", so it is easy to see the relationship between quantity and score.

As can be seen from the line graph above, "the remaining 24 pieces" do not correspond to "half of the stamps". And the corresponding quantity of "1/2" is 24- 1=23 (pieces).

Here, the "take out half of the stamps is less than 1" is converted into "take out half of the stamps" through the line segment diagram, which simplifies the problem. Next, we only need to use formula 23÷ 1/2 to calculate Xiaojun's original stamp quantity.

The answer is as follows:

(24- 1) 1/2 = 46 (piece)

A: Xiaojun originally had 46 stamps.

Method 2: Hypothesis method

Analysis: This question can be assumed that Xiaojun took out half of the stamps for Xiaohua. So, can Xiaojun have 24 stamps left? Of course not. How much is left? It is easy to know that there are (24- 1) small armies left. In this way, (24- 1) is the quantity corresponding to 1/2. Therefore, the formula (24- 1)÷ 1/2 can be used to get the result.

The answer is as follows:

(24- 1) 1/2 = 46 (piece)

A: Xiaojun originally had 46 stamps.

From the solution process of the second method, we can see that it is exactly the same as the solution process of the first method, but the thinking method is different.

From the two methods, we can see that the line drawing method and the hypothesis method are the two most important methods to solve the mathematical application problems in primary schools, and both of them have a common feature-"making things easy". Therefore, learning to draw line diagrams and assume methods can make elementary school math application problems very simple.