1 Method of solving application problems in the sixth grade of mathematics
Graphic movement test: the graphic movement of junior high school mathematics has translation, folding and rotation. Graphic transformation is an important way of thinking. This is an idea to deal with the problem of isolation and dispersion from the perspective of change and movement. If we can understand the ideological essence of this problem-solving well and use it accurately and reasonably, we will receive miraculous effects in solving problems and effectively improve the quality of thinking. In solving problems, we should grasp the essence of movement through experiments, operations, observation and imagination, find invariants in the movement of figures, and then solve problems.
Reading comprehension test: This is a test to test whether students can "learn" mathematics. Students can read a new paragraph of math knowledge and then answer related exercises. Experimental operation test questions: observation, experiment, guess and inquiry are the basic concepts of the new curriculum standard. These questions effectively test the comprehensive ability of students to analyze and solve problems by using knowledge. The number of words in the test questions is large, which tests students' good basic skills and quick understanding ability. The idea of combining numbers and shapes has been fully reflected in the topic.
2 Math application problem method
Formula solution: Many practical problems can be summarized, induced and deduced according to the quantitative relationship of the problems, such as the calculation formula of cylinder volume, the relationship between distance, speed and time, etc. In the teaching process of these application problems, students should master these quantitative relations (formulas) skillfully and apply them to the solution of application problems correctly and flexibly.
Transformation solution: transformation solution strategy is an important skill to solve mathematical problems, which transforms unfamiliar problems into familiar ones; Turn a difficult problem into a simple one; To turn abstract topics into concrete topics, we should guide students to flexibly use transformation skills in teaching, simplify the complex, turn the abstract into concrete, and improve students' problem-solving ability. Hypothetical solution: Hypothetical solution is to make assumptions according to the known conditions of application problems, and then analyze and adjust according to the contradiction between the meaning of the problem and the assumptions, so as to find a solution to the problem.
3 Math application problem method
Explore concepts and formulas carefully: Many students don't pay enough attention to concepts and formulas. This problem is reflected in three aspects: first, the understanding of the concept only stays on the surface of the text, and the special situation of the concept is not paid enough attention. For example, in the concept of algebraic expression (an expression expressed by letters or numbers is algebraic expression), many students ignore that "a single letter or number is also algebraic expression". Second, concepts and formulas are blindly memorized and have nothing to do with practical topics. In this way, we can't link the learned knowledge points with solving problems well. Third, some students do not pay attention to the memory of mathematical formulas. Memory is the basis of understanding. If you can't memorize the formula, how can you skillfully use it in the topic? Our suggestions are: be more careful (observe special cases), go deeper (know the common test sites in the topic), and be more skilled (we can use it freely no matter what it looks like).
Collect your typical mistakes and problems that you can't solve: the most difficult thing for students is their own mistakes and difficulties. But this is precisely the problem that needs to be solved most. There are two important purposes for students to do problems: First, to practice the knowledge and skills they have learned in practical problems. The other is to find out your own shortcomings and make up for them. This deficiency also includes two aspects, mistakes that are easy to make and contents that are completely unknown. However, the reality is that students only pursue the number of questions and deal with their homework hastily, rather than solving problems, let alone collecting mistakes. We suggest that you collect your typical mistakes and problems that you can't do, because once you do, you will find that you thought you had many small problems before, but now you find this one is recurring; You thought you didn't understand many problems before, but now you find that these key points have not been solved. Our suggestion is: doing problems is like digging gold mines. Every wrong question is a gold mine. Only by digging and refining can we gain something.
4 Math application problem method
Establish the wrong question bank. Anyone who has a heart in life will find that we often make the same mistakes, especially children. Many children will make many mistakes on a certain topic or a certain kind of problem. The reason is mainly because we don't have a good grasp of relevant knowledge points. Of course, some questions are easy to confuse children, but they often appear in homework or exams. In view of this situation, the best way is to prepare a wrong question book, extract the wrong questions, write down the cause analysis, accumulate in the study, and establish your own wrong question bank.
Ask more questions. The biggest fear in learning is not pretending to understand. In order to improve our math scores, we must solve problems that we don't understand, so if we have problems that we don't understand in math learning, we should ask our teachers or classmates if we still don't understand after thinking. Communicate more. In addition to the above aspects, we should pay more attention to communicating with our classmates and improve our math scores. There are many ways to communicate. Among them, the most effective method is to test each other's questions. This can also improve the interest in mathematics learning.
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2. Solving math application problems in the sixth grade.
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4. Methods to solve math application problems in primary schools
5. The key to learning sixth-grade mathematics well depends on the method.