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Introduction:
With the deepening of the new round of national basic education curriculum reform, the concept of "teachers become researchers" has gradually taken root in people's hearts. Carrying out and participating in project research is the best way for teachers to acquire self-sustainable development ability. Facts have proved that many teachers have gradually become research-oriented by carrying out research on topics and practicing while studying. working face
Project research is an important part of educational and scientific research activities. "Everything is established in advance, and it will be abolished if it is not planned." For project research, the opening report (scheme or scheme) is like the architect's blueprint. With a good opening report, researchers can carry out scientific research in a planned, systematic and organized way to ensure the smooth completion of scientific research tasks. Therefore, making the opening report is a key step in transforming the topic from imagination to practical action. At present, many teachers have never done research on projects in the past, and now they have to declare projects and write project opening reports, and they don't know where to start. In order to make teachers actively and effectively carry out project research activities and cultivate and improve their ability and level of writing project opening reports, this paper discusses how teachers should standardize the writing of project opening reports from the aspects of the meaning, function and structure of current educational research, in an attempt to provide some enlightenment to teachers who wish to carry out educational research. speech draft
First, the significance and role of the opening report of scientific research topics
Einstein, a famous physicist, said that it is more important to ask a question than to solve it. What is a valuable original question? Where does such a problem come from? This requires long-term practice, careful observation and careful consideration by researchers. When the topic or the question raised by oneself wins social recognition, it is necessary to design one's own research plan, that is, to write the opening report of scientific research topic.
The opening report of scientific research project (research design) is the design, planning and formulation of research scheme. That is to say, after the subject direction is determined, the topic selection plan written by the subject leader on the basis of investigation and research is submitted to the superior for approval. The opening report mainly shows that this topic has research value, and it can also be said to be the demonstration and design of the topic.
Writing the opening report of scientific research topic selection is an important link to improve the quality and level of topic selection, and it is an innovation and new knowledge, which is not dispensable. As scholar Wen Weng said, "The main purpose of making a good opening report is to urge everyone to sort out the research ideas and improve the research design". Making the research plan and arrangement of the subject is an exploratory solution to the problems raised by yourself. The report of scientific research project preliminarily stipulates the specific contents and steps of various aspects of research, which plays a key role in the smooth development of the whole research work. For people with less scientific research experience, a good scheme can make them clear the direction of research, avoid the situation that they don't know what to do next after a period of time, and ensure that the whole research work is carried out in an orderly way. It can be said that the level of project opening report is an important embodiment of the quality and level of a project. Without scientific opening report (research and design), there will be no scientific and valuable achievements. With the standardization of education and scientific research management, the problem of subject demonstration has been paid more and more attention by education and scientific research management departments.
Second, the basic work of writing the opening report of scientific research topics
To write the opening report of scientific research project well, we should understand its basic structure and writing method, but it is important to do the basic work well if we want to learn poetry and work hard outside it. First of all, we should know the basic situation of other people's research in this field. The most fundamental feature of research work is to be creative and familiar with other people's research in this field, so as not to repeat the road taken by others when they have studied a lot and are very mature, but to engage in higher-level and more valuable things to study on the basis of other people's research; Secondly, we should master the basic theoretical knowledge related to the research topic. Only when the theoretical foundation is solid can the research work have a solid foundation. Otherwise, without the theoretical foundation, it will be difficult for you to go deep into it and have real creation. Therefore, when conducting scientific research, we must collect information from many aspects. Strengthen theoretical study, only in this way can the report and plan be more scientific and perfect.
Third, the structure and writing method of the opening report of scientific research topic (research plan)
Writing the opening report is the primary task of applying for scientific research projects. Through the thinking and writing of the opening report, we can clearly understand why we should do this topic, what we want to do, what we want to get, how to do it, and whether we can achieve our expected goals. If you feel unrealistic after analysis, you can immediately adjust your direction and goals, so that you can achieve the goals of the project and avoid "making a mountain out of a molehill" or "making a mountain out of a molehill". The writing method of project opening report is slightly different according to the category of project research. But generally speaking, the opening report of scientific research topics mainly includes the following aspects:
(a) the name of the project
Principal name is the name of the principal. This seems like a small problem, but in fact, when many people write a topic, they often write it inaccurately and inappropriately, thus affecting the image and quality of the whole topic. This is what most people call "just having children, not naming them". So, how to name the topic?
1, the name should be accurate and standardized.
Accuracy is the name of this subject. It is necessary to make it clear what the subject is and what the research object is, such as "Research on the Autonomous Teaching Mode of Chinese Guidance in Primary Schools". The research object here is Chinese teaching in primary schools, and the research problem is the autonomous teaching method of guiding learning. Sometimes it is necessary to write out the research methods, such as "Experimental Research on Mental Health Education for Primary School Students". The research object is primary school students, and the research problem is mental health education. The main research method is experimental method, which is clearly written, so that others can know what this topic is studying at a glance. But the names of some topics are not very accurate. For example, others only look at the topic and can't see what the problem is, such as Chinese, English, middle school or primary school, let alone senior or junior primary school. If it is changed to "Centralized Literacy, Breakthrough in Spoken English —— Research on English Teaching Mode in Primary Schools", it will be clear at a glance. In short, the title of the subject must be consistent with the content of the study, and you should accurately summarize the objects and problems of your study.
Standardization means that the words and sentences used should be standardized and scientific. For example, "Cultivating students' autonomous learning ability and improving classroom teaching efficiency", if the topic is an empirical paper or research report, I think it is good, but it is not so good as a topic, because the topic is what we want to solve, and this issue is being discussed and studied, and there can be no final tone.
2, the name should be concise, not too long.
Whether it is a paper or a topic, the title should not be too long, concise and easy to understand, and the words that can be used should be avoided as much as possible, generally no more than 20 words. But we should try our best to show three points: research object, research problem and research method.
(b) the purpose and significance of the study.
First of all, it is necessary to clarify the background of the study, that is, what is the basis and inspiration of this study. Because any subject research does not come out of thin air, it has certain background and ideas. Secondly, it is necessary to make clear why we should study this topic, what value it has and what problems it can solve. Third, we should carefully consult the literature related to this topic and understand the guiding ideology, research scope, methods and achievements of previous or other people's research on this topic or related issues. Take the existing research results as the starting point of your own research, find out the shortcomings in the past, confirm your own creativity, and thus determine the characteristics or breakthrough points of your own research. This will not only highlight the value and significance of this study, but also broaden our horizons, be inspired and expand our thinking. Generally speaking, it can be discussed from the practical needs, pointing out that there is this problem in reality, which needs to be studied and solved, and what is the practical role of this research, and then write out the theoretical and academic value of the topic. All these should be written in a specific and targeted way, instead of shouting slogans, we should write general slogans such as adhering to the party's educational policy, implementing quality education and improving the quality of education and teaching. A teacher said the significance of the project in the project application form: "After the implementation of the 3X plan in the college entrance examination, chemistry as an elective subject will definitely affect its education and teaching. How to further improve the level of chemistry teaching and education in senior high schools under the current situation is an urgent problem faced by chemists. This topic is based on the influence of "30X" on chemistry teaching in senior high schools, taking classes from 1999 to 200 1 as observation samples, and using modern educational science research methods such as observation, statistics and interviews ... Abstract: This paper studies how to adjust the teaching mode and improve students' comprehensive quality in the process of implementing "30X", so as to improve the teaching reform under the new situation. This targeted writing makes others feel more scientific, practical and really valuable.
(III) Research objectives
What is the goal of project research? What specific problems should be solved? The goal of the research is more specific, so we can't generalize it. We must write it clearly. Only when the goal is clear and specific can we know what the specific work direction is and what the research focus is, and our thinking will not be disturbed by various factors. The following are the research objectives written in the research experiment scheme of "Subject Teaching and Quality Education":
1, through experimental research, summed up the characteristics and laws of implementing quality education in primary and secondary schools; 2. Put forward opinions on the implementation of quality education in subject teaching in primary and secondary schools; 3. Formulate the target and evaluation scheme of implementing quality education in the teaching of all subjects in primary and secondary schools; 4. Initially form the basic theory of subject teaching in primary and secondary schools under the quality education mechanism; 5. Improve the quality of students in experimental schools in an all-round way, and promote the quality of education in experimental schools by a large margin; 6. Promote the improvement of teachers' quality in experimental schools and cultivate high-level scientific research teams.
When determining the research objectives of the project, on the one hand, we should consider the requirements of the project itself, on the other hand, we should consider the actual working conditions and level of the research group.
(D) the basic content of the study
With the research goal of the subject, we should determine the content of the subject according to the goal, which is more specific and clear than the research goal. At present, the main problems in this field are: 1, only the subject has no specific research content; 2. The research content is inconsistent with the subject; 3. The subject is very big but the research content is very little; 4. Take the purpose and significance of the research as the research content.
This is very bad for our whole research. So learn to break down the topic and do it bit by bit. Let me give you an example:
The research plan of "Research and Experiment of Junior Middle School Chinese Activity Class", a key project of a province in the Ninth Five-Year Plan, points out that the center of this study is how to carry out junior middle school Chinese activity class scientifically, orderly and effectively. The specific content includes the following three aspects: 1. According to the situation of junior high school students and the requirements of Chinese teaching, the development of students' cognitive, emotional and motor skills in junior high school Chinese activity classes is specified in detail, thus establishing the target system of junior high school Chinese activity classes. 2. According to the goal of junior middle school Chinese activity class and the characteristics of Chinese subject, arrange the content of junior middle school Chinese activity class, strive to be rich, accurate and orderly, and initially form a relatively complete content system of activity class. 3. According to the target content of junior middle school Chinese activity class and the characteristics of junior middle school students, explore the learning activities of junior middle school Chinese activity class, determine the teaching time, space and procedure of activity class, and form a variety of practical and operable Chinese activity teaching models on this basis.
(V) Research methods of the subject.
Any scientific research should not only use philosophical methods and general scientific methods, but also have specific research methods and technical means. The "research method" part mainly reflects how the research of a subject verifies our hypothesis and why this method should be used. And what to do and how to do it. There are many methods of educational research, including historical research, investigation research, experimental research, comparative research, theoretical research and action research. A large project often needs many methods. A small project may be mainly one method, but other methods are also needed. When we apply various methods, we must strictly follow the requirements of each specific scientific research method, and we cannot do it by experience or common sense. For example, we need to know the situation through investigation, how to make a questionnaire and how to analyze it, instead of just sending a table, we just need to get some percentages and averages. This is a problem that must be solved in future scientific research work.
(six) the steps and plans of the study.
The steps of project research are the time arrangement and order of project research. The relationship and difficulty of the research content should be fully considered in the research steps. Generally speaking, they all start from the basic problems and proceed in stages. There must be regulations on when each stage begins and ends. The tasks and requirements of each stage should not only be widely known, but also be implemented in the form of written plans. So as to ensure that the research is completed on time with good quality and quantity, and the managers of the research can also inspect, supervise and manage the research accordingly.
(seven) the expected results and manifestations of the project.
What are the possible situations and problems in the research process? What results will the seminar bring? What are the countermeasures? The forms of research results include research reports, educational papers, monographs, software, courseware and other forms. The content and form of research results are different with different topics, but no matter what form, the research of the topic must have results, otherwise, the topic will not be completed. Designing the form of the results in the opening report can make researchers clear what to use to express the research results in the future, and let them try to accumulate materials, conceive the framework and work together from the beginning, so as to facilitate the smooth appearance of the research results. At the same time, it is also beneficial for the project manager to make corresponding acceptance of the project.
(8) Research organization and division of labor.
How do project team members divide their work and cooperate? In the plan, it is necessary to determine the project leader, deputy leader, project team members and division of labor. The leader of the research group is the person in charge of this topic. A research group should include people from three aspects, namely, people with power, people with insight and people with aspirations. If you have the right, you can get more support. If you have knowledge, the quality and level of the project will be higher. If you are interested, you can do it, not afraid of hard work. The division of labor of the research group must be clear and reasonable, so that everyone can understand their work and responsibilities. Of course, on the basis of division of labor, we should also pay attention to the cooperation of all staff, so that everyone can study and discuss together to overcome various difficulties and problems in the research process. At the same time, we should also pay attention to the overall quality and level of the members of the research group, especially the level of the project leader. If the project team members and leaders have neither theoretical experience nor practical experience, the project will not be completed well and it will be difficult to get approval.
(nine) research funds and equipment requirements
Any research needs certain research funds and equipment conditions, and educational research is no exception. Information that is valuable for research, such as the needs of research work and information, budget and equipment conditions, such as test questions and questionnaires, must be clearly written. But we should seek truth from facts, not write nonsense, strengthen management and supervise the use.
In short, the opening report of scientific research project is the "microcosm" of scientific research knowledge and ability of scientific researchers. Only by paying attention to and designing the research project plan seriously and scientifically, and making the opening report, can we open the door to success in obtaining outstanding achievements in education and scientific research. In short, without a scientific and thorough opening report and well-prepared research and design, there will be no scientific research activities and no real academic breakthrough.
References (omitted)
Case —— Opening Report of "A Case Study on the Typical Teaching of" Cognition of Numbers "in Primary Mathematics"
Pei Zhennian, Wu Xuejun, Anhui Maanshan Experimental Primary School.
First, the proposal of the topic
With the further deepening of curriculum reform, teaching case analysis has been paid more and more attention and become an indispensable intermediary for teachers' growth. Through case analysis, teachers can put new teaching ideas into teaching practice, which is conducive to the realization of effective classroom teaching.
Teaching case study is a very popular and effective method in school education and teacher training in developed countries. Our country started late, and the case study of basic education stage appeared with the new curriculum reform in recent years. There are not many books about teaching case studies, especially those classified by content. In a word, the teaching case study started late in China and has a weak foundation. Lack of depth and effectiveness; Not feasible and authoritative. But now it has attracted the attention of China's education sector. It is very suitable for front-line teachers and is praised as "true scientific research" by the school. It is considered by experts to be the most effective way to cultivate research-oriented teachers, improve teachers' quality in an all-round way and promote school development.
Since the new curriculum reform, the research on teaching cases in our city is also in full swing, and the research of each school is indispensable to the carrier of teaching cases. In the teaching and research activities at the city, district and school levels, mathematics teachers in our school started from "What is a teaching case? How to write teaching cases? ..... "I gradually got a clear understanding of the word" teaching case ". At the same time, in the process of education and teaching, record your own teaching experience, write a summary of teaching experience and reflect on teaching gains and losses, and correct and adjust your own teaching behavior in time, which provides ideas and carriers for exchanges between peers. Teachers' knowledge and understanding of the structure, characteristics and writing of teaching cases are gradually maturing. However, the in-depth study of case series has just begun. Moreover, there are still many immature places in the current case study of primary school mathematics. Its performance is as follows:
(1) Most teachers write teaching cases according to their own teaching income, which is arbitrary and lacks research.
(2) The comparative analysis and in-depth study of similar teaching cases are not perfect.
(3) There is still a lack of systematic research on the content of mathematics.
Therefore, in the atmosphere of "preparing lessons well and giving good lessons", in order to better carry out school-based research and promote the teaching and research work of the teaching and research group. We want to study in different sections according to the content of mathematics subject, so that mathematics teachers of all grades from bottom to top can conduct in-depth research around a content, and teachers will have more topics to exchange and discuss with each other, and teaching and research activities will be more effective. According to the content system of teaching materials, focusing on a short paragraph of "understanding of numbers", typical case studies are carried out from grade one to grade six to improve the teaching and research ability of teachers in our school. I hereby apply for the subject of "Case Study of Typical Mathematics Teaching in Primary Schools".
Second, the purpose and significance of the study
The purpose of this study: the purpose of applying for this study is to improve the writing of teachers' teaching cases and gradually improve their ability to analyze teaching cases through the analysis and research of teaching cases of "number understanding"; Promote the mathematics teachers in our school to have a more systematic and comprehensive understanding of the teaching content; At the same time, we can understand the problems and effects of students of different grades in learning the content, and provide reference for them to master the content, adjust teaching strategies and methods in time in teaching practice and improve the effectiveness of classroom teaching.
Significance of this study: 1. Give full play to the role of all kinds of mathematics teaching and research groups in the school to promote mathematics teaching and research in the school. 2. Accumulate teaching and research experience and improve math teachers' teaching reflection ability.
Third, the definition of subject.
Typical is a representative person or thing.
The central word of case study is case. Teaching case study is an effective research method combining educational theory with educational practice.
Teaching cases describe teaching events with profound authenticity in narrative form. It has the general characteristics of narration: background, conflict, problem, activity mode and result. It shows the occurrence, development and effect of specific teaching activities, including specific disposal methods and unique teaching concepts, and reflects the typical behaviors, thoughts and emotions of teachers and students. Generally, it has the following characteristics: 1. Case is the epitome of real problems. 2. The case describes a relatively complete event or example. 3. The narrative of the case should be detailed. This case is epoch-making. 5. This case is effective. 6. This case is typical. 7. Cases are not classroom records, but focus on the intake of classroom information.
This topic is to analyze and compare some representative teaching cases in the teaching content of Comprehension Numbers, and to discuss their contents in order to gain valuable teaching experience.
Fourth, the main content of the study.
1. Investigate and analyze the current situation of mathematics teachers' mastery of mathematics knowledge related to "number cognition" and their understanding of teaching materials.
2. Organize relevant teaching contents, and establish the implementation plan of seminars in different grades.
3. Analyze the * * * and non-* * characteristics of teaching and learning of the same type of teaching case of "number cognition", improve teachers' writing of teaching cases, gradually improve teachers' ability to analyze teaching cases, explore and summarize the problems and effects in teaching, and provide effective reference for timely adjusting teaching strategies and methods in teaching practice. (Emphasis and difficulty of this study)
What breakthroughs are expected in the study of verbs (the abbreviation of verb)?
1. Systematically sorting out the teaching content of "Understanding Numbers" in primary schools is helpful for teachers to build a relatively complete content system and teaching framework of "Understanding Numbers".
2. Through the analysis and research of teaching cases, improve teachers' writing of teaching cases, and sort out the teaching plan sets or case analysis sets of related teaching contents.
3. Carry out theoretical study and practical exploration, closely combine theoretical study with classroom teaching, help teachers analyze the gains and losses of teaching case teaching and learning in classroom teaching practice, gradually improve teachers' ability to analyze teaching cases, accumulate teaching and research experience, and improve mathematics teachers' teaching reflection ability.
Sixth, the basic ideas and main methods of research.
The basic idea of this study is:
Drawing lessons from the existing teaching case study results, learning while practicing, exploring the teaching and learning strategies and methods under this content framework in the process of constantly summing up practice, and testing them in practice.
The research methods of this topic are:
Literature review method: Literature review method is used to summarize the current situation of teaching cases about "understanding of numbers" in all grades, and then theoretical study is carried out among mathematics teachers in the whole school.
Case study method: through the tracking of classroom teaching, analyze the problems and effects in teaching and learning.
Scale survey method: pre-test and post-test classroom teaching, and test and analyze its effect.
Seven. Conditions for completing this project and possible problems.
Personnel structure:
The school director is the leader of the research group, and the members of the research group are 13 the leaders and members of the teaching and research groups of all grades. This structure is conducive to the smooth communication and implementation of the project plan in all grades of the school. From the business point of view, there are 2 backbone teachers in the city (including 1), 6 backbone teachers in the school, and a rising star in the provincial teaching field 1. From the age structure, there are both middle-aged teachers with certain teaching experience and energetic young teachers, which is conducive to the smooth implementation of the project.
Data preparation:
The school library is rich in books, with teaching newspapers and magazines. The members of the research group can skillfully use the computer network and download materials online.
Financial guarantee:
The school provides all the expenses needed for the project.
Eight, possible difficulties and solutions:
The analysis of 1. usage scale needs theoretical support, and its scientific nature is difficult to grasp. On the one hand, we should strengthen theoretical study, on the other hand, we should get support from all sides and strengthen communication.
2. The analysis and diagnosis of a series of cases, as well as the promotion of theory, especially need the guidance and guidance of experts.
3. The teachers who take part in the research are all front-line teachers, so their work is rather heavy. If they conduct project research again, they sometimes feel that they are willing to do more than they can do. This also requires our teachers to be more dedicated.
IX. Research Plan
Division of labor:
Research plan: Wu Xuejun, Pei Zhennian of Tang Juan.
Literature review of classification: Xia Min, Zhai Ping, Li Dong, Wu Xuejun, Shao Zhongxia and Tang Juan
The research plan was formulated by Xia Min, Zhai Ping, Li Dong, Wu Xuejun, Shao Zhongxia and Tang Juan at different levels.
Implementing the research plan by grade: Xia Min Zhai Ping Li Dong Wu Xuejun Shao Zhongxia Tang Juan He Deyun Yi Bengui Ye Pingmei Kevin·Z Cao Wenjing.
Collection and arrangement of research data of this topic: He Deyun, Yi Bengui, Ye Ping, Mei, Cao Wenjing and Tao Jianjun.
Writing of research report: Wu Xuejun Pei Zhennian Tao Jianjun.
This teaching content is graded: (the experimental textbook of the new curriculum standard of People's Education Edition) See Appendix 1.
Research steps:
Preparation stage: (2009.6438+00 ~ 20 10.2)
Make a research plan, demonstrate the subject, systematically sort out the teaching content of "Understanding Numbers", and investigate and analyze the current situation of mathematics teachers' understanding of this part of mathematics knowledge and teaching materials.
Implementation stage: (2010.2 ~ 2011.2)
Case analysis, classroom teaching tracking, problems and effects analysis in teaching and learning are carried out in different grades.
Summary stage: (2011.2 ~ 2011.7)
Writing of research report.
X. Form of results:
Research report on the collection of typical teaching case studies
XI。 References:
1, Theory and Practice of Primary School Mathematics Evaluation in the New Curriculum ISBN 7-80602-904-4, edited by Chen, Ningbo Press, September 2005.
2. The case of classroom teaching of new mathematics curriculum in primary schools ISBN 7-536 1-2894-0 Guangdong Higher Education Press, edited by Chen, September 2003.
3. Case Study and Basic Training of Mathematics Teaching in Primary Schools ISBN 7-305-04560-8 Jin, Editor-in-Chief of Nanjing University Press, June 5438+ 10, 2005.
4. Primary school mathematics teaching case ISBN 7-80602-6 10-X/ G? 279 Chen Ningbo Publishing House in August 2004
5. Case analysis and teaching plan research of primary school mathematics teaching ISBN 7-5435-3782-6/ G? 2936 Shen Dandan Guangxi Education Press June 2004
Schedule 1:
A Questionnaire Survey on Mathematics Teachers' Teaching of "Understanding Numbers"
Hello, teacher! All the following questions only need to be answered according to your own understanding. If you are unfamiliar with some questions, you can not answer them. No need to sign, but I hope to get the real result. Thank you for your cooperation!
1, some people say that the number symbol "0" means "nothing" and "starting point". Do you agree? Why?
2. Do you think the smallest number is "0" or "1"? Why?
3. A teacher said when teaching "Understanding of 7": "7 comes before 6." Do you think this sentence is problematic?
4. The ancients tried to divide all natural numbers into two categories, one is the most essential number, called "prime number"; Another non-essential number is called "composite number". Why is it now divided into "1, prime number, composite number"?
5. The content of "Count One" in the first-year preparatory class is very simple. Is it necessary for students nowadays?
6. According to your teaching experience, what do you think is "the structure of digital recognition teaching"?
Is 7.0 a multiple of a natural number? Is there a multiple of 0?
Are 8 and 0 even numbers? What is the smallest even number?
Do 9.2 1% and 0.2 1 have the same meaning? Explain why.
10, what do you think is the important feature of the score?
1 1, 0/22/10.1/22/0.1are all fractions?
12, does the "0" at the end of the decimal mean anything?
13. Why is "negative number" included in primary school textbooks? Do you think this arrangement is good? Explain why.
14, how do you think we should grasp the teaching requirements of "preliminary understanding of fractions" in the textbook?
15. How to understand the explanation of decimal meaning in the textbook?
1 6,0,1,3,5, what is the largest three decimal places?
17, including more than 60?
18. According to your teaching experience, which chapter of Understanding Numbers is the easiest to teach? Why?
19. According to your teaching experience, which chapter of Understanding Numbers is the most difficult to teach? What do you think is the reason for "difficulty"?
An analysis of the questionnaire survey of mathematics teachers in experimental primary schools on the teaching of "number cognition"
First, the test questions and answers:
Second, the examination paper question and answer analysis:
From the questions and answers of the above 22 math teachers, we can see that:
1. The questions with more than 50% answers are 1, 2, 3, 4, 5, 7, 8, 9, 10,1,12,/kloc-. Most of these problems belong to the basic knowledge of mathematics. Question 6, 14, 15, 17, 18, 19 account for a large proportion of unanswered questions. These are mostly about the arrangement structure and intention of teaching materials.
2. There are different opinions on the same issue, and the issues with big differences are 1, 2, 3, 4, 7, 8, 10,1,13, 15,/. Only in question 9, the concentration rates of 12 and 16 are above 95%.
From this, we make a preliminary analysis of the math teachers in our school:
1, the answer to related mathematical knowledge questions is better than the analysis and understanding of textbook arrangement.
2. Some conceptual problems in mathematics are not well understood.
3. Some teachers have misunderstandings about some knowledge points of mathematics and are also confused about some key points in teaching.
4. The knowledge structure of "number understanding" and the systematic arrangement intention of teaching materials are not very clear.