First, the importance of cultivating students' logical thinking
Logical thinking ability is the essential ability of high-quality talents in today's society, and it is also the basic quality of the new youth in contemporary China. We believe that if a person has the ability of logical thinking, then his performance in job competition will be outstanding and his life will be greatly prolonged. Today, with the highly developed society and the great rejuvenation of the motherland, young people must have this ability. So how can we acquire this ability? The premise is to reach a certain knowledge reserve, and first of all, you must have good analytical and brain skills, super comprehensive quality, and be good at summing up the essence of phenomena. Mathematics teaching in primary schools plays an irreplaceable role in cultivating students' logical thinking ability. While simply increasing students' knowledge reserves, we should pay more attention to the cultivation of students' logical thinking ability, improve students' logical thinking ability, and lay a good foundation for students' future study career.
Second, the common logical thinking methods
1. Deduction and induction
Deduction and induction are the most commonly used teaching methods in mathematics learning. Its meaning is to gradually analogize special mathematical problems into general laws. In primary school mathematics learning, mathematical laws, properties and operation rules can be taught by deduction and induction.
2. Classification comparison method
Classification comparison is a learning method to sort out mathematical knowledge and study its similarities and differences. This method of thinking logic learning plays an extremely important role in primary school mathematics teaching.
3. Comprehensive analysis method
The so-called synthesis and analysis is a teaching method that links all relevant parts of mathematical knowledge together and then studies and analyzes them to understand the essence of mathematical knowledge.
4. Generalization and abstraction methods
Generalization and abstraction is a method of integrating the same kind of mathematical knowledge in a wide range among numerous mathematical knowledge and understanding its abstract content in a practical sense, which is similar to comprehensive analysis.
Third, the methods of cultivating students' logical thinking
1. Improve interest in learning
The teaching effect of teachers depends on students' interest in learning. The research of educational psychology shows that full interest in learning can make students pay more attention. In the actual teaching work, the author found that some students' interest in mathematics learning gradually decreased because of the difficulty of mathematics in grade three of primary school. Therefore, in order to cultivate students' logical thinking ability in mathematics teaching, the first task is to improve students' interest in learning mathematics. Confucius said, "Knowing is not as good as being kind, and being kind is not as good as being happy." Under the background of the new curriculum reform, the educational ideas advocated by these sages are still applicable. Interest is the best teacher, and all passive learning has no educational significance. If teachers only carry out oppressive indoctrination learning, then students will only lose interest in mathematics learning, and the basic teaching effect will not be achieved, let alone the cultivation of logical thinking ability. Moreover, senior primary school students are in adolescence and have a strong rebellious attitude. If teachers insist on using oppressive teaching methods, it will be counterproductive. Therefore, in mathematics teaching practice, teachers must adopt persuasive teaching and guidance as much as possible to enhance students' interest in learning.
2. Create a teaching situation
Under the background of the new curriculum reform, the classroom is no longer dominated by teachers, and teaching has become a process of interaction between teachers and students. Students are participants in teaching activities and the main body of teaching. Teachers must reasonably create teaching situations according to students' age, personality and understanding ability in teaching practice. Only in this way can we completely mobilize students' enthusiasm for learning, stimulate students' thirst for knowledge, and let students actively explore the mathematical world and feel the happiness brought by it. Teaching practice tells us that using setting scenes to carry out teaching work can make teaching more colorful, teachers explain more thoroughly and students learn more solidly. Therefore, creating a reasonable situation in teaching is helpful to improve teaching quality and cultivate students' innovative thinking ability. Creating situations is just like task-based teaching method. Teachers assign tasks and put students in the teaching tasks to be performed. Students finish the task independently, and the teacher finally summarizes it, imparting knowledge to students, fully mobilizing students' enthusiasm and improving teaching quality.
3. Encourage students to ask questions
Scientist Einstein once said: I don't have any special talent, but I like to get to the bottom of it. In actual mathematics teaching, we should pay attention to discovery learning, not conclusion learning. Summing up learning is nothing more than instilling knowledge, and its reality is very unbearable. Because mathematics itself is not a formula. Therefore, teachers should pay attention to students' thinking process and discovery process, which is not clear from a report card. Inspire students to think more, ask questions by themselves, dare to deny conclusions and prove boldly, which is the premise of acquiring logical thinking ability.
4. Change the traditional teaching concept
Under the background of the new curriculum reform, the subject of teaching has changed from teachers to students, and the traditional indoctrination teaching is no longer in line with the contemporary teaching trend. In order to cultivate students' logical thinking ability in primary school mathematics teaching, teachers must be required to change the traditional teaching concept, improve their teaching professional level, rationally apply the teaching methods of the new era in teaching practice, break the traditional thinking pattern, enhance students' interest in learning, help students to divergent thinking, and thus strengthen the cultivation of students' logical thinking ability.
5. Establish teaching objectives
As a primary school math teacher, if you want to cultivate students' logical thinking ability in teaching practice, you must help students establish clear teaching objectives. Because mathematics learning is the understanding of abstract thinking, it can't be indoctrinated rigidly. Only by establishing a clear teaching goal, driven by the goal, can students have the best learning state and understand what they have learned. Through the establishment of teaching objectives, students can clearly grasp the items that need to be studied in teaching, so as to obtain better teaching effect and cultivate students' logical thinking ability. For example, in the teaching process of Unit 1 "Four Calculations" in the fourth grade of New People's Education Press, teachers should not only prepare teaching plans before class, but also set teaching objectives for students before teaching. Through the establishment of teaching objectives, let students realize the importance of learning four operations for mathematics learning, and let students cultivate their logical thinking ability in learning four operations. In teaching practice, teachers should clearly explain the basis and algorithm of the four operations, so that students can learn through understanding and improve their learning enthusiasm and academic performance. To achieve the purpose of cultivating students' logical thinking ability in teaching.
6. Pay attention to students' mathematical practice
Practice is the only criterion for testing truth. In the practical work of primary school mathematics teaching, practice is an important link for students to solve problems and cultivate their logical thinking ability. Therefore, in teaching, we should attach importance to the significance of practice and increase the density of practical courses. For example, in the textbook of People's Education Edition, we can carry out practical activities of measurement in the teaching process when we are studying "perimeter and area", and verify mathematical formulas through measurement, so that students can have a clear understanding of their own measurement methods and design them carefully, which not only cultivates students' logical thinking ability, but also improves their practical ability invisibly.
7. Use advanced teaching technology
In the actual teaching process, we will encounter some very abstract problems. For example, in Unit 5 and Unit 4 of Grade 4 of New People's Education Press, the relativity of positional relationship, the sum of internal angles of triangle, the stability of triangle, etc. These problems are difficult for students to understand by traditional teaching methods. Teaching by relying solely on students' imagination will make students fall into the misunderstanding of thinking and find it difficult to extricate themselves. If we can use animation courseware or use slides to demonstrate in the teaching process and enhance students' intuitive feelings about learning, then we will certainly get unexpected teaching results. Therefore, to cultivate students' logical thinking ability in mathematics teaching, we must use diversified teaching methods to promote the development of logical thinking.
8. Use heuristic teaching
Heuristic teaching is a learning method which is guided by teachers and allows students to acquire knowledge through thinking. In primary school mathematics teaching, we should attach importance to heuristic teaching. Teachers guide students through communication, encourage students to explore constantly, open the shackles of thinking and finally solve problems. These heuristic teaching methods all have abstract thinking paths, which are helpful for students to sum up mathematical laws and analyze problems from different angles. It greatly improves the teaching effect, helps students get rid of the imprisonment of traditional thinking, cultivates the agility and flexibility of students' thinking, and finally cultivates students' logical thinking ability in mathematics teaching.
Conclusion: In a word, primary school mathematics teaching plays an unparalleled role in cultivating students' logical thinking ability. In teaching practice, only by fully respecting students' basic personality, starting from students, rooting logical spirit in students' thoughts, closely linking teaching activities with the cultivation of logical thinking ability, fully connecting with practice and enhancing learning interest can we achieve the teaching purpose of cultivating students' logical thinking ability.