First, emphasize the preview of the syllabus and cultivate students' reflective consciousness.
In the teaching process, we should always ask students to preview before class, and guide them to review the content and process of preview after preview, and ask themselves more questions. For example, what does this part mainly study? What are the concepts, formulas and theorems? How much do you know? What is the explanation in the book? Have you proved theorems and formulas with what you have learned? If so, which ones? Can you do this problem by yourself? Have you carefully scrutinized what you don't understand in the preview? Through such reflective training, we can gradually cultivate students' reflective awareness of preview, let students learn to preview and learn to learn, let students reflect on their preview, examine and evaluate themselves, which is conducive to enlivening the classroom atmosphere, allowing students to actively participate in classroom teaching and actively explore and explore the teaching content, thus improving learning efficiency and cultivating learning ability.
Second, emphasize the review of problem-solving process and cultivate students' reflective ability.
In the teaching process, teachers should guide students to be dissatisfied with the completion of the problem-solving process, and more importantly, reflect after solving the problem. We should reflect on how we find and solve problems, the success or failure of the learning process and its reasons, the lessons we should learn, and the reasons from basic knowledge and concepts. Summarize the process of learning or solving problems from the height of thinking strategy, and summarize the basic thinking methods of mathematics; After solving the problem, we should reflect and analyze the essence of the problem, popularize and deepen the problem, optimize the existing problem-solving methods, and find the best solution to the problem.
Third, establish students' own study files.
Establishing study files for yourself is an important way to develop good reflective study habits. The contents of learning files can be arranged with their own set learning goals, good problem solving or learning methods, easy-to-solve problems, lessons of learning failure, etc. At the same time, students are required to establish an error correction book and collect their mistakes in solving problems into a book. Next to them, they must indicate the reasons for the mistakes, the wrong ideas when solving problems, how to examine the problems, how to analyze them, how to think correctly and what mathematical thinking methods to use. Make students constantly optimize their thinking quality in reflection, cultivate the rigor and criticism of thinking, improve their understanding and enhance their ability. At the same time, after each exam, students are required to make a summary.
Fourth, after-class reflection is conducive to mastering knowledge and being targeted.
"Listening without understanding is passive and superficial". Students should reflect in class: What knowledge points have they learned today? Do I understand everything? What's the point? Can I sort out what I learned today and so on. After class, students reflect on their thinking methods in time and learn to grasp the problems that cause reflection or put forward reflective opinions. Through reflection, students have a deeper understanding of the knowledge of the day's class, which plays an important role in solving after-school and extracurricular exercises; Cultivating the habit of reflection after class for a long time has obvious effects on the infiltration of knowledge and the overall understanding and mastery.
Fifth, writing a weekly diary of mathematics is beneficial to the development of students' thinking.
Reflection is a habit and consciousness, and continuous reflection will make continuous progress. There must still be problems in daily teaching: demonstrating the problems that students think of themselves but don't communicate with teachers in the process of solving problems in class; Discussion on different solutions to several exercises in homework: We can write weekly math diary (or math diary) and class online teaching platform, so that students can vent and record their doubts about learning emotions and experiences, and teachers and students can have a fixed platform for mutual understanding and communication. The recorded contents may include: 1. Summarize and sort out the main points of the knowledge learned this week. 2. The current situation of students' own knowledge: analyze what they have learned well, what they have not learned well and why. 3. Summarize the learning experience, methods and lessons. 4. Do you still have knowledge? What are the doubts about R. 5? Opinions or requirements for teachers, etc. Teachers must spend a lot of time reviewing the math weekly diary and give feedback in time in order to reflect the effect.
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In recent years, the college entrance examination mathematics reminds us once again that teachers must liberate students from the sea of questions, effectively improve their comprehensive mathematics literacy and cultivate their thinking ability, and an effective shortcut is to guide students to review and reflect on their own mathematics learning-reflective mathematics learning. "Thinking is alive, thinking is deep, thinking is deep, thinking is clear, thinking is clear, thinking is new, thinking is new." Cultivating students' reflective consciousness is an urgent call for effective classroom teaching and a study habit of saving for students' lifelong development, which cannot be achieved overnight. It requires teachers to follow the principles of "step by step" and "consistency" patiently and solidly, and finally let students enter the highest realm of "learning to learn"! Teachers must strengthen the guidance of students' reflection on mathematics learning, let students form the habit of reflection, deepen their understanding of mathematics learning process and conclusion, accumulate experience, improve their comprehensive ability in mathematics, and really let students grow sturdily in mathematics reflection learning!