Material preparation: paper, pen, etc.

1, first draw two clouds and a rainbow with the number "20", plus sign and pencil on it.

2. First, draw a big rectangular frame with four rectangular frames and a sun.

3. Write the word "Mathematical Story" in the blank border, and draw red, blue, orange and green respectively. The rainbow is colored, the clouds are painted with blue squares, and the rectangular borders are painted with yellow.

The sun is yellow inside and red outside. Draw a red line segment in the yellow border and draw some mathematical symbols in the blank.

5. Draw a horizontal line in the blank space of the edge force, thus completing the handwritten newspaper of Unit 5 of Mathematics in the second volume of Grade Three.

World problems of mathematics:

First, Hodge conjecture.

Mathematicians in the twentieth century found an effective method to study the shapes of complex objects. The basic idea is to ask to what extent the shape of a given object can be formed by bonding simple geometric building blocks with added dimensions. This technology has become very useful and can be popularized in many different ways.

Finally, it leads to some powerful tools, which make mathematicians make great progress in classifying various objects they encounter in their research. Unfortunately, in this generalization, the geometric starting point of the program becomes blurred. In a sense, some parts without any geometric explanation must be added.

Second, Poincare conjecture (has been proved).

If you stretch the rubber band around the surface of the apple, you can move it slowly and shrink it into a point without breaking it or letting it leave the surface. On the other hand, if you imagine the same rubber belt stretching in the proper direction on the tire tread, there is no way to shrink it to a point without damaging the rubber belt or tire tread.

The surface of apple is "simply connected", but the tread is not. About a hundred years ago, Poincare knew that a two-dimensional sphere could be characterized by simple connectivity in essence, and he put forward the corresponding problem of a three-dimensional sphere. This problem became extremely difficult at once, and mathematicians have been fighting for it ever since.