Elementary School Mathematics Thinking Top 10 Methods of Mathematical Thinking in Primary School Mat

1. Seventy-five willow trees were planted on one side of the embankment. How many peach trees are planted with a peach tree planted in the middle of every two willow trees?

Second, there are 4 piles of the same balls on the outside, each pile of 4, it is known that three of the piles are **, a pile is defective, ** balls weigh 10 grams each, and the defective balls weigh 11 grams each, please use the balance to weigh only once, and find out the pile that is defective.

Take 1 in the first pile, 2 in the second pile, 3 in the third pile, and 4 in the fourth pile, and weigh them together on the scale. If it is 101 grams, it proves that the first pile is defective, the second pile of 102 grams is defective, the third pile of 103 grams is defective, and the fourth pile of 104 grams is defective.

3. Xiao Ming helped his mother steam the egg custard, which took 23 minutes before and after, and his mother said that it would only take 18 minutes. Xiao Ming arranged it like this:1

Beat eggs for 1 minute; 2.Whisk the eggs for 2 minutes; 3.Chop chopped green onions for 2 minutes; 4.

Wash the pot for 2 minutes; 5.Heat water for 6 minutes; 6.Steam egg custard for 10 minutes.

What did Xiao Ming's mother do?

Wash the pot first, then boil the water before doing anything else.

4. Foreign language teachers in a certain district know English, or Japanese, or both English and Japanese. Among them, 75 people know English, 45 people know Japanese, and 20 people know both English and Japanese.

5. There are a number of chickens and rabbits, and they have a total of 99 heads and 318 legs, so how many chickens are there? How many rabbits are there?

Solution 1: Rabbit: (318-99 2) (4-2)=60

Chicken: 99-60=39

Solution 2: Chicken: (99 4-318) (4-2)=39

Rabbit: 99-39=60

Don't do it. It takes at least 30 minutes and I'll help you write it all out.

The top 10 mathematical thinking methods in primary school mathematics are as follows:

1. Corresponding thinking methods.

Correspondence is a way of thinking about the connection between two elements of a set. Primary school mathematics is generally a one-to-one correspondence of intuitive diagrams, and this is the idea of a pregnant volt function.

In the teaching of primary school mathematics, the main number deficit should use dotted lines, solid lines, arrows, counters and other graphics to connect elements with elements, objects with objects, numbers with equations, quantities with quantities, and infiltrate corresponding ideas.

For example, in the first grade textbook, the rabbit and the deer, the monkey and the bear, and the rabbit and the bird are corresponded one by one, and the comparison is carried out, which penetrates the correspondence between things to the students and provides students with ideas and methods for solving problems.

2. Methods of Transforming Thoughts:

This is an important strategy for solving math problems. It is a method of thinking that transforms one form into another. And its size itself is constant. Through transformation, it can turn the difficult into easy, the new into the old, the complex into simple, the whole into zero, and the curved into straight.

3. Symbolic thinking methods.

The Symbolic Thought Method uses symbolic language (including letters, numbers, graphics, and a variety of specific symbols) to describe mathematical content, which is the Orange Town Symbolic Thought.

4. Classification of thinking methods.

The method of thinking of classification is not unique to mathematics, and the method of thinking of classification in mathematics embodies the classification of mathematical objects and the criteria for their classification.

5. Comparative thinking methods.

Comparative thinking is one of the common thinking methods in mathematics, and it is also a means to promote the development of gross thinking.

6. Analogical thinking methods.

The idea of analogy refers to the idea that it is possible to transfer the properties of one type of mathematical object to another based on the similarity of two types of mathematical objects.

7. Substitution of thinking methods.

He is an important principle of equation solving, which allows one condition to be replaced by another.

8. Hypothetical thinking methods.

Hypothetical thinking is a kind of meaningful imaginative thinking, which can make the problem to be solved more vivid and concrete after mastering, so as to enrich the idea of problem solving.

9. Reversible thinking method.

It is the basic idea in logical thinking, when it is difficult to solve the problem in forward thinking, you can seek a way to solve the problem from conditional or problem thinking, and sometimes you can use the line diagram to extrapolate.

10. Naturalized thinking method.

Naturalization is a common method of thinking for solving mathematical problems. Reduction refers to the transformation of unsolved or unsolved problems into a class of solved or relatively easy to solve problems through the process of transformation, in order to solve them.

Answer: Primary school mathematical thinking has the characteristics of visualization, preliminary logic, flexibility, and consciousness.

There are eight types of mathematical thinking in primary school:

1. Reverse thinking method.

2. Corresponding thinking methods.

3. Hypothetical thinking method.

Fourth, the method of transforming thinking drafts.

High band. Fifth, the method of eliminating the element.

6. Divergent thinking methods.

7. Associative thinking methods.

8. Quantity invariant thinking method.

The thinking characteristics of primary school students are that they are in the stage of gradual transition from visual thinking to logical thinking. At this stage, specific image thinking is dominant, and to a large extent, it also relies on action thinking, so it is necessary for teachers to demonstrate, guide, and guide, so that students can subtly acquire some thinking methods.