Research on Cultivating Pupils' Problem-solving Ability by Using "Drawing" Strategy

In primary school mathematics, there are many problem-solving strategies. Drawing strategy should be an important way for students to solve problems.

Strategy. It makes abstract problems concrete and intuitive through graphics, so that students can understand the meaning of problems and solve them correctly.

Therefore, it is very important for students to master drawing strategies in mathematics teaching. In problem-solving teaching, we should pay attention to quotation.

Guide students to analyze the quantitative relationship through drawing, solve problems and realize the function and value of drawing.

Encourage students to use different

Graphic problem solving,

Realize the diversity of drawing strategies

Encourage students to combine painting strategies with other strategies when solving practical problems.

Organic combination,

Experience the diversity of problem-solving strategies

Guide students to understand the mathematical ideas in drawing strategies,

Improve mathematics literacy.

"painting

The strategy of "map" runs through the whole mathematics problem-solving teaching in primary schools. Teachers should grasp the painting strategy as a whole, according to teaching.

The actual needs of students,

Knowledge and experience,

The level of thinking development,

Gradually cultivate students' ability to solve problems by drawing strategies.

First of all, the questions raised

1

The Importance of Cultivating Students' Painting Strategies

One of the reasons why mathematicians can finally get the answer to the question faster than the average person is because "they can palm their hands"

There are many ways to solve problems, which we call problem-solving strategies. They are universal and can be used.

To solve problems in many branches of mathematics. Some of them are actually very simple, such as drawing pictures, but many people never want to try.

"

Therefore, it is of great practical significance to guide students to draw strategies in problem-solving teaching.

The new curriculum standards clearly put forward,

Taking problem solving as an important course goal,

And pointed out that:

Let students face practical problems,

Can take the initiative to try to use the knowledge and methods learned from mathematics to find strategies to solve problems. There are many solutions to the drawing strategy.

The most basic problem strategy,

It is also a very important strategy.

It helps students to concretize abstract problems through various graphics.

Intuitive, let students understand the meaning of the problem from the pictures and analyze the quantitative relationship to find a breakthrough to solve the problem. From this

In a sense, drawing ability also reflects the ability to solve problems. Therefore, in the process of problem-solving teaching, we should pay attention to

Cultivate students' ability to analyze and solve problems by drawing strategies.

2

Puzzlement in teaching practice

In teaching practice, many teachers have such experiences and puzzles:

(

1

) In the traditional application problem teaching, teachers pay more attention to teaching students to draw line segments. Solutions under the background of new curriculum

Question, do you still need to teach students to draw line segments? What is the difference between the teaching of drawing and solving problems now and the past?

(

2

In the process of solving problems, many students are at a loss as to where to start and where to analyze. Of course, there are also many students.

Unless the teacher asks students to draw pictures, it is difficult for students to think of drawing pictures to analyze and solve problems. In primary school mathematics teaching,

How should teachers teach students to use drawing strategies to solve practical problems step by step?

(

three

) The current experimental textbooks emphasize problem-solving strategies in solving problems. So, what problem-solving strategies are embodied in the textbook?

Is there a system design for drawing strategy?

2

In view of the importance of drawing strategies in the process of solving problems and the problems existing in teaching practice, we

This paper puts forward the topic "How to cultivate students' drawing strategies in problem-solving teaching".

Second, the purpose and content of the study

Drawing strategy is generally regarded by teachers as a good problem-solving strategy, but it is still lacking.

Systematic combing and research. This study will stand on the height of system theory and grasp the drawing strategy in the textbook as a whole.

Sort out and clarify the editing intention. According to the problems existing in practice and the understanding of painting strategies, through our preliminary research

The research can provide some teaching suggestions and examples of activity design for front-line teachers, and strive to attract teachers' attention to "how to cultivate primary school students"

Deep thinking and further research on improving students' problem-solving ability by using "drawing" strategy.

Through the research of this topic, we can sort out the drawing strategies contained in the primary school mathematics textbooks and grasp the experimental textbooks as a whole.

The writing characteristics and presentation methods of painting strategies. Put forward some reasonable suggestions on the teaching of painting strategies and list some.

For example, it also provides teachers with several teaching design cases of core activities to help teachers solve problems and problems in teaching.

Confused.

Iii. Strategies and methods for project implementation

1

First, the strategy of project implementation:

(1) Make plans and carry out research step by step.

In order to ensure the smooth progress of our research work, we need to make a series of plans, according to the monthly research.

Investigate the theme, communicate and summarize in time, and then continue to arrange the next research work on this basis.

(2) Set up a team to carry out the research work efficiently.

In order to make the research work more efficient, make the research have vertical comparison and facilitate the subject analysis, we

The main research members of the research team all have different tasks.

(3) enrich the forms, so that the research work can be carried out deeply and solidly.

We put the research of the topic into our teaching plan, and take our classroom as the carrier of the research of the topic, and encounter problems.

Everyone is in time.

the instant communication software

Contact and discuss with each other. And in every concentrated learning activity, what is encountered in teaching and research?

Doubt and confusion, communication and learning. Let teachers pass on information here, enrich experience and make the subject mature here.

(D) Learning subject information is more conducive to subject research.

In order to continuously improve the quality of research-oriented teachers and their scientific research ability, they often study subject materials and strive for

Every time I go out to study. This has improved the research enthusiasm of researchers to a certain extent.

2

, research methods:

(A) survey methods

a

、

Choose a questionnaire to solve the problem,

Investigate students' methods and strategies to solve problems in class,

Select some students

As the research object.

three

b

Through discussion and investigation, we can know what kind of attitude these students have towards solving problems.

(2) experience summary and communication methods

a

First, arrange the teachers of the research group to consult materials, understand information, update teachers' teaching ideas and teaching methods, and pass

* * * Discuss, attend lectures and evaluate classes, so that teachers can gain some fresh and advanced experience; On this basis, constantly sum up and fight back.

Thinking, in the process of learning-summary-reflection-promotion, obtains newer and more complete information.

b

A small exchange meeting is held every semester, which can be a dialogue between students or between teachers and students.

Introduce your own good methods and enrich your self-knowledge.

(3) Literature method

Collect information related to this topic at home and abroad for study and research.

Four. Expected result

We expect that through the research of this topic:

1

Students: Gradually train students to analyze quantitative relations, solve problems and experience the role of drawing.

And gradually master the general strategies and methods to solve mathematical problems, so as to finally solve mathematical problems.

Our ability has been greatly developed.

2

Teacher: Put forward some reasonable suggestions on the teaching of painting strategies and give some examples. At the same time, they will

Provide teachers with several teaching design cases of core activities to help teachers solve problems and puzzles in teaching.

three

School: Through the research process, the mathematics teachers in our school can grasp the core goal of mathematics education and improve the teaching level.

Learn the level, accumulate scientific research experience, and enhance the ability of sustainable development of school mathematics.

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