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How to Cultivate Students' Reflective Ability by Using Wrong Mathematics Questions
First of all, the practical problems of the students in our class

In the usual teaching, I found that many students were careless in doing their homework, and some even went to school early in the morning to copy their answers, with scrawled handwriting and high error rate. The topic analysis was wrong n times, and he was still wrong next time; Sometimes I even told him that this problem was wrong on purpose, and he would immediately erase the original practice with correction fluid and do it again immediately, never thinking about whether I was wrong, where the original practice was wrong and why. Sometimes I talk to some students in my spare time and find that almost no students will take the initiative to reflect and analyze after finishing the exercises. When they make mistakes, they just change the topic instead of summarizing the knowledge system and mathematical methods. Sometimes, due to various reasons, I often ignore the cultivation of students' reflective consciousness in teaching, and pay little attention to guiding and excavating the causes of mistakes, which makes students lack reflective consciousness and reflective ability.

If primary school students have the ability to reflect, they can study consciously and effectively, thus enhancing their sense of responsibility and self-confidence, turning their learning from a bystander to a participant, and naturally knowing the truth and methods of error correction; Increase talents and wisdom, and shape perfect personality. As a sixth-grade pupil, I already have the ability of self-evaluation and self-reflection. First, students' sense of independence has been significantly enhanced. Compared with middle and lower grades, students unconsciously like to be unconventional and reflect their individuality and unique thoughts in the learning process. However, taking the wrong title as resources can guide students to conduct self-examination and self-reflection, promote students' ability to think and solve problems independently, thus cultivating students' good study habits and promoting students' better development in mathematics learning.

Second, the research summary

Paying attention to wrong questions and forming self-reflection to promote the improvement of learning quality are common in the learning process of junior and senior high schools. Senior high school teachers, especially senior three students, attach great importance to guiding students to analyze and study right and wrong issues. There are many successful cases of the top candidates in the college entrance examination, and they also talk about the help of the wrong set of questions. It can be seen that students' self-analysis and reflection on right and wrong issues have a positive effect on learning. In junior high school, there are also many teachers who pay attention to students' wrong questions and guide students to analyze and correct them by establishing a set of wrong questions. At present, some primary school teachers also carry out research on wrong problem sets. The key point is to let children set up wrong questions, guide students to pay attention to wrong questions and improve learning effect.

It is a new perspective to guide students to self-examination and self-reflection, to promote students' independent thinking and problem-solving ability, to cultivate students' good study habits and to promote students' better development in mathematics learning. It not only closely links with teaching practice, but also embodies the new curriculum concept, which is more conducive to the development of students. Therefore, I think it has very positive practical significance.

Third, the definition of subject.

Wrong questions: refers to all kinds of mistakes made by students in the process of mathematics learning.

Self-reflection ability: refers to the ability of students to actively pay attention to their own mistakes, analyze the causes of wrong questions through self-independent reflection, peer reflection and teacher guidance, and finally avoid or reduce the probability of repetition. This ability should also include a habit of students, that is, a good habit of active reflection.

Fourth, the research objectives

Use "wrong questions" to cultivate students' reflective ability, cultivate students' conscious reflection after completing their homework, and write their feelings and reasons for mistakes by correcting the wrong books and reflective diaries after the wrong questions appear, so that students in this class can truly understand the ideas and methods of mathematics in reflection, develop their mathematical thinking ability, cultivate their reflective habits and innovative consciousness, and improve their mathematical quality, basically achieving the following goals:

1. Cultivate students' conscious reflection after finishing homework and reflection after wrong questions appear.

2. Enhance students' reflective consciousness and promote the formation of students' study habits.

3. Through the establishment of error correction books, guide students to analyze and correct wrong questions, enhance students' reflection consciousness, guide students to pay attention to wrong questions, and improve learning effect.

Verb (abbreviation of verb) concrete operation measures

student

The student level is the main aspect to solve the problem. The subject of reflection on wrong questions is students. Therefore, whether students can actively reflect on wrong questions can effectively promote the development of reflective ability and improve the effect of mathematics learning.

1. Prevention to avoid wrong problems.

Avoiding the wrong question is an act before reflection. Cultivate students to actively check and test every homework or exercise to reduce the probability of wrong questions. In teaching, we should start with classroom exercises. In class, teachers can guide students' activities. After a period of training, students can ask for homework at the same time after getting used to it. When cultivating students' habits, the methods of teaching students to check and test are:

(1) stress the question.

Requirements, redefine the requirements of the topic, compare with the first time to see if there is any difference in understanding and whether the requirements put forward by the topic have been completed.

② Check carefully.

Check every document to see if there are any mistakes in copying.

③ Change the method

Recalculate, when calculating, it is best to change the way. For example, if you calculate 56×89, you can change it to 89×56.

4 check and verify.

Check whether the results are in line with the actual situation, which also helps students to learn mathematics in connection with life, and finally check the use of answers and unit names.

2. Develop the habit of reflecting on wrong questions

Many students in my class are senior primary school students. When you meet the wrong question, you will often slack off and just look at the correct answer. Therefore, efforts should be made to help each student gradually develop the good habit of independent thinking.

(1) mistakes must be corrected.

Ask students to write down or explain the reasons for each wrong question. If they can't write it, they can take the initiative to find a good classmate or teacher to solve it, and the teacher will help him analyze it together.

(2) More expensive than persistence.

For the last 20% of potential students, no matter in the classroom exercise books or exams, they often make more mistakes in their homework, and the homework time is tight, so they can't seriously analyze the reasons for each question. I often try to encourage these students to copy less or only some typical topics every day, but they should persist in copying and reflecting every day. Only by insisting on such training can students gradually form the habit of reflection.

3。 Reflection on math diary

Reflection is a habit and consciousness, and continuous reflection will make continuous progress. Students reflect, improve their cognition and learn mathematical thinking. "Learning is students' own business", the key lies in students' internalization, and teachers are only guides and helpers. Therefore, I instruct students to write reflective diaries. Let students grow up gradually in the reflective diary and become a self-disciplined learner. The following excerpts from several students' reflective diaries are enough to show that the cultivation of reflective ability is helpful for students to learn mathematics.