The Importance of Reflection in Junior Middle School Mathematics Teaching

Reflection is not only an idea, but also a technology. Teaching reflection is very important for teachers' growth. Only when we have a clear and correct understanding of teaching reflection can we truly accept the thought of reflection emotionally, thus stimulating the internal motivation of reflection and then producing specific reflection behavior. The value goal orientation of mathematics teaching is not limited to enabling students to acquire basic mathematics knowledge and skills. In mathematics teaching activities, it is more important to understand the value of mathematics and enhance its applied knowledge. Get the basic thinking method of mathematics and go through the process of solving problems. In mathematics, we should deal with the balance and harmony between knowledge-based goals and developmental goals. In the process of knowledge acquisition, promote students' development and implement knowledge in the process of development. This requires students to reflect on their own learning. The new curriculum emphasizes the cultivation of innovative spirit and practical ability, and advocates a learning style characterized by "initiative, inquiry and cooperation".

Reflection is the integration and effective combination of practice and inquiry, which makes it a process to promote the continuous improvement of teachers and students' development ability. For example, teaching activities are bilateral activities between teachers and students centered on teaching materials. Teachers' teaching activities interact with students' learning activities, so that students can acquire mathematical knowledge, skills and abilities, develop students' thinking quality and cultivate innovative consciousness. And form good study habits. In educational reform, teachers are the key and students are the main body. At the same time, the improvement of teachers' ability and students' ability is gradually established through practical exploration. So from what aspects should we construct a reflective model of teacher-student interaction? What is the significance of reflection to mathematics teachers in teaching activities?

First, improve the ability and level.

The process of teachers' reflection is a process in which teachers re-recognize, re-study and re-integrate various elements and links in mathematics teaching. It is a process of reactivation and collision of teachers' thinking. It can help teachers to capture, analyze and study various teaching phenomena, gains and losses and enlightenment in time. Deepening the knowledge and understanding of the law of teaching activities is helpful for teachers to discover new problems in time, and at the same time form their own independent thinking and creative opinions on teaching phenomena and teaching problems. So as to make more ideal, effective and reasonable teaching decisions. Improve the effectiveness of teaching practice. And constantly update teaching concepts, improve teaching behavior, enhance teaching ability and improve teaching level. Self-reflection can make individual consciousness get rid of dependence on individual experiments. Expand individual consciousness and accept the unity and integration of logical commonness. And reach the height of rationality. For example, in the teaching of mathematical geometry in middle school, imagine the mode of proving triangle congruence in the test questions in this class: first, show the examples-analyze the conditions-guide to find out the conditions of congruence-summarize the laws. The training topics are written in books and given by practice. I never thought about solving problems by connecting with students' real life. After such a class, students have a good grasp of concepts and a high correct rate of solving problems. However, after one class of training, the students' correct rate is only 80%, and I fell into deep reflection. Why do I seize the equivalence relation to find out the condition of triangle congruence, and students will answer the questions in the book, but not the actual problems in life? Why does the teacher think that the correct rate of exam results in good classes is only 80%? After painful reflection, I finally understand that we only pay attention to the knowledge points that students learn to find out the conditions to prove the congruence of triangles, and are eager to throw the rules to students. We ignore that students' knowledge and understanding of congruence conditions of triangles have not reached a rational level. I began to reflect on my teaching and my ideas. So, when I reset this class, my concept changed qualitatively. Starting from the development of students, based on the development of students, we can provide students with space suitable for their development, so as to better improve the effect of education and teaching. For example, when learning the triangle congruence theorem, I ask students some questions: Why do you want to learn triangle congruence? How is it formed? What are the characteristics and functions? Where should triangular congruence be used in life? Only in this way can students improve their knowledge to the theoretical level. Then we can better improve the quality of education and teaching.

Second, increase wisdom and enrich theory.

Reflection enables teachers to immerse themselves in the teaching situation with the mentality of researchers, reflect on their own behavior actively and continuously with the eyes of researchers, and carefully observe and analyze their own activities and students' performance in teaching. Explore the problems and summarize the accumulation process. Through mutual observation and discussion among teachers, on the one hand, we can form a regular understanding, enrich practical knowledge and increase teaching wisdom; On the other hand, we can see the inconsistency between the explicit "advocacy theory" and the implicit "application theory", so as to truly apply the explicit advocacy theory to teaching. In the process of continuous application, teachers can also enjoy the pleasure of promoting educational concepts. The joy of increasing new knowledge and developing new skills and the benefits of teaching. For example, in the teaching of triangle similarity theorem, through the discussion and observation of teachers, it is concluded that the current classroom should focus on experience and experience. Feel the generation of triangle similarity and understand the essential meaning of triangle similarity. Pay attention to the learning process, let students learn to think, learn to solve problems, and pay more attention to students' emotional attitudes and values. Since then, our teaching has been full of vitality and fun.

Third, show yourself and highlight the theme.

The process of teachers' self-reflection is a process in which teachers actively think about teaching phenomena, teaching problems and solutions. It is a process of urging teachers to give full play to their teaching autonomy, and it is an independent, self-disciplined and spontaneous behavior of teachers. "Reflection makes us the masters of our own attention" highlights the subjectivity of teachers. At the same time, in the whole process of reflection, teachers should examine their attitudes, emotions and values in a critical way. Examining one's own behavior in teaching and finding one's own shortcomings and puzzles, the whole process is the process of teachers' understanding and reforming themselves objectively and fairly. It is the process of internalizing practice into consciousness, and it is also the process of fully displaying self. The main channel to carry out reflective learning. For example, consciously guide students to conduct reflective learning in multiple directions and angles in classroom teaching. Students' practical reflection can reflect on their own understanding, such as things in daily life and content in class, which can guide students to ask more why; It can also be linked with other people's practices, leading to a comparative reflection on their own behavior. We can guide students to make similar comparisons, analyze and evaluate a phenomenon in life or an idea around them, and make periodic reflections. For example, at the end of a class, let students reflect and think about what they have gained from this class. What about those questions? Before you go to bed that day, reflect on your feelings today. Or reflect on your progress and shortcomings in a week and so on. This is a process of showing yourself and highlighting the subject.

Reflecting on solving problems and mastering methods is the only way to learn mathematics. When students solve problems, they often lack reflection on the problem-solving process, do not refine and summarize the problem-solving process, and only solve problems in order to complete tasks, resulting in low quality and low efficiency. Teachers should show themselves, actively guide students to sort out the thinking process, determine the key to solving problems, review thinking and summarize methods, so that the problem-solving process is clear, the thinking is organized, accurate and summarized. Reflected in the collective discussion, the concept of "activity is the source of perception and the basis of thinking development" is formed. Everyone constructs his understanding of things with his own experience as the background, so his understanding is relatively limited. Through collective discussion and communication, students can understand their peers' understanding, enrich their own thinking methods, reflect on their own thinking process and enhance their migration ability. The key to the formation of concepts is to attach importance to the process of meaning construction, not just monotonous memory. Therefore, we should pay attention to guiding students to discuss and debate collectively, promoting personal reflection and realizing self-innovation. So as to improve the ability to control classroom teaching, stimulate students' interest in learning and improve the effect of education and teaching.

Three: harmonious relationship * * * resource sharing.

Reflective practice is not only self-reflection, but high-quality reflective objects include various relationships in practice, such as the relationship between oneself and peers, the relationship between activities and background, etc. Collective peer reflection is one of the elements of efficient reflection. Regular professional investigation, communication, discussion, coordination, cooperation, discussion, analysis and reflection can not only deepen the friendship between colleagues, but also establish harmonious interpersonal relationships. You can also constantly acquire and integrate more information resources and professional experience, learn from others' strengths, make up for your own shortcomings, and constantly surpass yourself. Update and improve yourself, improve professional skills, and finally get professional development. For example, when reviewing knowledge acquisition, reflect on refining ideas. In teaching activities, teachers pay more attention to situational teaching. Guide students to acquire knowledge actively through operation exercises and cooperative inquiry. In the actual learning process, students always decide the solution method according to the specific situation of the problem. This method is limited by specific circumstances. If it is not refined and summarized, its application scope is limited and it is not easy to transplant. Therefore, students should be encouraged to incorporate basic mathematical methods after acquiring knowledge. Specific methods of reprocessing. From it, we can extract a wide range of mathematical ideas.

Reflection and experience analysis of the advantages of problem-solving methods Students are often satisfied with doing problems when solving problems, and never evaluate the advantages of their own problem-solving methods. There are often some shortcomings in homework, such as single problem-solving process, narrow thinking, outdated problem-solving, chaotic logic, too long narration, and no priority. This is the lack of flexibility and criticism in students' thinking process, and it is also a manifestation of students' low level of creative thinking. Therefore, teachers must guide students to analyze the advantages of problem-solving methods. Optimize the problem-solving process and try to find the best solution to the problem. Through this evaluation process, students' horizons will be broadened and their thinking will gradually develop in a multi-starting, flexible, accurate and novel direction. In the process of deepening the understanding of the essence of the problem, students' generalization ability is improved and students are promoted to form a systematic and interrelated mathematical cognitive structure.

Reflecting on the causes of mistakes and enjoying success, students often don't understand the basic knowledge, are careless and ignore the reflection on the conclusion. Being content with a little knowledge is an important reason for homework mistakes. The results are often inconsistent with reality and data travel. In particular, some "hidden errors" occur more frequently. Therefore, teachers should combine the mistakes in students' homework, carefully design teaching situations, help students analyze the causes of homework mistakes from the perspective of basic concepts and basic knowledge, and provide students with an opportunity to re-understand basic knowledge and basic concepts. In the process of correcting homework mistakes, students should master the basic knowledge and understand the basic concepts, guide students to consciously test the results, and cultivate the ability of reflection, so as to achieve the ability of constantly surpassing themselves, renewing themselves and improving themselves.

Teachers should become reflective practitioners in mathematics teaching, which is the need of education and teaching reform in the new period and the only way to realize teachers' professional growth. In the process of reflection, no matter whether every denial of yourself is correct or not, the first thing you can feel is a persistent and dedicated spirit. An insatiable enterprising spirit. Help to improve teaching skills. Improve teaching behavior. For example, mutual evaluation, communication and reflection are teachers' understanding of themselves, but sometimes they can get reflection content from others that self-awareness can't. Teachers get together to express their views on the problems in class and discuss solutions. Use improvement to achieve the goal of * * *. Another example is listening to students' feedback and reflection, so that teachers can not only realize their own advantages and disadvantages in teaching more clearly. But also can deeply understand students' real feelings and needs. Through the reflection on mathematics teaching methods, the existing problems can be adjusted in time. Furthermore, reflection on teachers' blogs is a very good way for teachers to reflect on education. First of all, the teacher blog provides a carrier of personal reflection and records the changes of personal thinking activities and learning activities. With the process of blog logging, it can stimulate teachers to constantly think, control and adjust their own and teaching enthusiasm. With the accumulation of teachers' blog logs, teachers will have more experiences and feelings when reading and recalling their own log contents. So as to correct their own views and adjust teaching methods and strategies. Gradually form the habit of self-reflection and research attitude. Therefore, from this perspective, teacher blog is not only a space platform for accumulating teachers' personal resources. It is also a "personal growth record bag" to keep and show the dynamic development of teachers. In this process, only when teachers realize the importance of reflective consciousness and reflective ability to their own growth, will they continue to write with perseverance. Then, I have always kept a reflective attitude towards my teaching and professional development. It can promote the improvement of teaching level. Improve your teaching ability. Teaching reflection is very important for teachers' growth. Only when we have a clear and correct understanding of teaching reflection can we truly accept the idea of reflection emotionally. Thereby stimulating the internal motivation of reflection. And then produce a specific reflection behavior. For example, after a class, meditate, take some time to review what you have learned, explore some laws between knowledge and what you have found in knowledge points, and whether there is a breakthrough in misunderstanding of many difficult problems. Whether the enlightenment is appropriate, whether the training is in place, and so on. Write down these gains and losses in time and make necessary classification and balance. In homework, we should also seriously reflect, especially after correcting homework, ask students to carefully analyze their own right and wrong, and write down their successes and shortcomings. You can also write down your new ideas and innovations. So as to improve the teaching quality of mathematics education.