Solving math problems with pictures

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Solve math problems with pictures

The intermediate level enters the stage of thinking in images. Instead of physical pictures, children are taught to understand concepts and solve problems through graphics and tables (modeling). With the ability of modeling, children have strategies to solve complex mathematical problems. ▼ In the curriculum standard, it is mentioned in many places that to cultivate students' awareness of applying mathematics and their ability to solve problems by comprehensively applying what they have learned. Professor Zhou Yuren said: problems are the heart of mathematics. The essence of children's learning mathematics is a process of discovering problems, exploring problems, refining mathematical models, and using existing knowledge and experience to solve problems. That is to say, learning mathematics is to apply mathematics, which is precisely the weak link of our students. It is not difficult for students to master mathematical knowledge, but to flexibly use what they have learned to solve practical problems. For example, we have neglected the training of students' hands-on operation in ordinary teaching. We have not carried out enough practical activities, and the training of hands-on operation ability needs to be strengthened. Using basic knowledge of mathematics to solve mathematical problems in mathematics and life is the most basic teaching goal proposed in the mathematics curriculum standard. This test reflects this idea in a concentrated way. Especially in questions 22 and 23, students' ability to analyze and solve problems is relatively prominent. (1) In classroom teaching, we should pay attention to the application and cultivation of mathematical thinking methods. Today's curriculum reform, what kind of classroom does primary school mathematics need? In his lecture, Mr. Zhu Leping used PPT to compare the different design forms and design concepts of new and old textbooks for us, making us clear that the biggest difference between new and old textbooks is that new textbooks are open. It also makes us clear that today's primary school mathematics classroom should attach importance to the application of mathematical thinking methods in combination with the content of textbooks, and let students understand and familiarize themselves with mathematical thinking methods and understand their role in solving practical problems. I have heard experts say what will remain in students' memory after several years? Some knowledge and skills of mathematics are gradually forgotten with the passage of time, but the strategies for solving problems and mathematical thinking methods can be retained and play a strong role in his study, life and work. Recently, there has been a heated discussion about the illustrations in the mathematics textbooks of the people's Education Edition. As an important part of the primary school mathematics textbooks, the mathematics illustrations provide background information or pictures of the text content for mathematical problems, which have the functions of explanation, representation, organization, etc. at the same time, they also play a certain suggestive role in solving these mathematical problems for students. 3. Pay attention to cultivating students' consciousness of Applied Mathematics. In teaching, students are guided to find rich mathematical information contained in practical problems from different angles, explore various ways to solve problems, and encourage students to try to solve some simple practical problems, deepen their understanding of what they have learned, and obtain the ideological methods of solving problems with mathematical knowledge. As Mr. Li Yongle said in the introduction: mathematics is a very abstract subject. How to make children enlightened and interested in mathematics is a problem that many parents urgently want to solve. Many people don't pay attention to the illustrations in mathematics textbooks. They think that the most important thing in mathematics is the words about formulas and topics. The pictures only play the role of dressing up and have no great impact. However, in fact, most of the math situation problems are presented to students in the form of mixed pictures and figures in the textbook. When students want to read and do problems, they can't avoid seeing pictures in the book. Mathematical thought is the understanding of the essence of mathematics and its objects, mathematical concepts, propositions and mathematical methods. Mathematical methods are methods and strategies to solve mathematical problems. While paying attention to imparting knowledge, mathematics teaching should guide students to experience mathematical methods and comprehend mathematical ideas. Only in this way can students learn to analyze and solve specific problems and other practical problems in mathematics with mathematical thinking, mathematical means and mathematical methods. This is the realm that mathematics teaching should pursue and the essential requirement of mathematics teaching. (5) innovative ability: be able to propose methods to solve mathematical problems or mathematical teaching problems differently from conventional thinking or methods. The former mainly examines the creative solution of mathematical problems; The latter mainly examines the ability to choose effective teaching methods and means, and analyzes teaching information and situations; Be able to comprehensively use the mathematical knowledge, ideas and methods learned, independently think, explore and study, put forward new problems in middle school mathematics teaching, find ways, methods and means to solve problems, and creatively solve teaching problems. The key of project-based learning is to find suitable projects, pay attention to whether the problems are realistic and interdisciplinary; We should pay attention to whether students can solve problems, and whether students can ask questions; We should pay attention to the mathematical calculation in the process of solving problems, and also to the mathematical expression in the process of solving problems. This is a new topic in the current mathematical teaching reform 2. Guide students to focus on the process of problem-solving, the key points of cooperative problem-solving, Breakthrough Strategies, applied mathematical knowledge and thinking methods when sharing their works 3. Guide students to summarize and reflect from the perspectives of mathematical key ability, common literacy and cooperative problem solving How to stimulate children's mathematical thinking? How to enlighten children in mathematics? Parents actually don't have any concept. They think mathematics is teaching children numbers and addition and subtraction. But in fact, it is not like this. This is only very simple mathematics. Even if children can count from 10000 to 10000, their mathematics may not be very good. What is needed for children's mathematical enlightenment is picture thinking. In the teaching of comprehensive situation map, I will consciously guide students to put forward problems through their own observation and analysis, improve students' ability to select information, organize information and solve problems using information from the perspective of mathematics, cultivate students' preliminary application awareness and problem-solving ability, and closely combine problem-solving with the learning of basic mathematical knowledge and skills. Pay attention to the connection between mathematics and real life, and through a variety of methods, highlight the cultivation of students' ability to understand and analyze, operate and explore, express, and flexibly apply knowledge to solve problems, so as to develop students' mathematical literacy. This test paper is based on the mathematics curriculum standards and the current teaching materials, focusing on the key points of knowledge learned in the first half of the four volumes: Division of the remainder, recognition of numbers, decimeters and millimeters, addition, recognition of directions, and a small part of the content of the previous semester. The examination paper is examined by questions such as directly write the number, fill in the blanks, measure the quantity, draw a picture, and solve the problem by vertical calculation and by means of combination of pictures and text. The overall structure of the examination paper is reasonable, close to the presentation mode of the textbook, and the level is clear. The examination paper attaches importance to the examination of students' mastery of the core concepts of mathematics, the establishment of the sense of numbers, symbols, space, and the application consciousness and reasoning ability. It not only checks the results of mathematics learning, but also checks the process of mathematics teaching, which fully reflects the basic, universal and developmental ideas of mathematics courses in the reform of basic education.

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