Mathematical Research Journal 1 Recently, through online research and study, I came into contact with the new educational ideas of experts and scholars, and learned about the classroom teaching designs of many excellent teachers. At the same time, I had a full exchange with the front-line teachers in my class, gained a lot, and realized the lack of self-study knowledge. Therefore, I can say that this online research is timely, the online research materials are profound, and the effect of online research will have a far-reaching impact. As a teacher, I deeply feel the importance of learning. In the future teaching, I will base myself on my own work, strengthen theoretical study, change teaching concepts, practice new curriculum reform, new goals and new theories with my heart, and pave the way for my professional development. Below I have some simple understandings and practices on how to improve the quality of primary school mathematics teaching.
First, a good relationship between teachers and students is the premise of learning mathematics well.
For a long time, teaching has always emphasized "the dignity of being a teacher". In the classroom, teachers often condescend and adopt the practice of "teachers speak and students listen", "teachers act and students watch" and "teachers write and students copy". Students are in a passive state and become "containers" for understanding knowledge. Improving teaching quality: Teachers should respect, care and trust students. Respecting, caring and trusting students and getting along well with them are the basis of creating a harmonious classroom atmosphere. In teaching activities, teachers and students form a stable and continuous relationship psychologically, which is not only manifested in knowledge and potential, but also in emotional and spiritual communication. Most importantly, teachers should care, trust and respect students. Teaching should be equal and open to all. We should not be partial to a few students with good academic performance, nor should we be indifferent to some students with learning difficulties. To be students' good friends, teachers should play with students, study together, learn from each other, know their thoughts, care about their worries and help them. Finally, based on the classroom, improve their own value in practice. Classroom is the main position for teachers to reflect their own values. In line with the concept of "all for the students, all for the students", I fully integrate my love into the students. In the future teaching, I will try my best to apply the new curriculum ideas I have learned to classroom teaching practice, based on "using new and old textbooks and practicing new ideas." Strive to make my mathematics teaching more distinctive, form a unique teaching mode, better reflect the requirements of quality education and improve the quality of mathematics teaching.
Second, mathematics teaching should pay attention to the interest of the classroom.
Pupils are young and have poor self-control, and the influence of psychological factors in learning is dominant. Only by following the rules of students' psychological activities and combining the characteristics of subjects, age and psychology can teachers make students willing to learn and take the initiative to learn. If teachers use the traditional "teacher speaks, students listen;" Teachers ask, students answer, students practice, students will feel very boring, the more they learn, the less they like to learn. Therefore, in classroom teaching, we should strive to be novel in form, entertaining and entertaining, reduce mechanized procedures and enhance students' interest in learning. Students' clear learning purpose and correct learning attitude are long-term factors that play a role in improving learning intention. Teachers should take every opportunity to educate students on the importance and necessity of learning mathematics, so that students can clearly understand the social benefits of learning mathematics, see the practical value of mathematics and induce their learning motivation. In the teaching process, teachers should clearly put forward and explain the benefits and importance of subject materials, and also understand what practical problems can be solved by the knowledge they have learned through life examples, so that they can feel that there is mathematics everywhere in their lives, experience the importance of mathematics learning, and stimulate and cultivate correct learning motivation. In the long-term mathematics study, students gradually realize the benefits of learning, which is the fun of exploring mathematics knowledge.
Third, ingenious teaching methods.
According to the characteristics of primary school students' physical and mental development, it is an effective means to stimulate students' learning intention. Studies have proved that primary school students often study harder under competition conditions than under normal conditions, and the learning effect is more obvious. In the competition, driven by strong competitiveness and curiosity, they always expect to win the first place and always want to be praised by their teachers. We can use this psychology to greatly increase students' interest in learning and their perseverance in overcoming difficulties. In teaching, various competitions can be organized, such as "who is faster and who is right", "who has more solutions", "smarter than who" and "who has more people", which can make students "show their talents". There are various forms of competition, which can be played by the whole class; Can be divided into boys and girls to participate in the competition; Ability to compete in groups; Students can also be grouped according to their potential. There is no grouping principle. In short, we should make every student succeed at all levels and find ways to make every student experience the pleasure of learning success, so that the motivation of primary school students will be greater and their enthusiasm for participating in learning will be higher.
Fourth, use "living" teaching materials.
Mathematics originates from life, and life is full of mathematics. In mathematics teaching, we should closely contact with students' real life, find mathematics themes in the real world, make teaching close to life, and let students see and touch mathematics in life. Therefore, students no longer feel that mathematics is the crown jewel, unattainable, and mathematics is a mirage divorced from reality. Mathematics education is to enable students to acquire the basic mathematics knowledge and skills necessary as a citizen, and introduce fresh topics in life into the big classroom of learning mathematics. For example, reform the form of work and highlight the application operation. For example, after learning the common relationship between multiplication and quantity, I arranged for students to go to the vegetable market with their parents on weekends to buy food or shop, and calculated the price independently according to the unit price. The students were very interested. Pay attention to the practical operation of mathematics learning, straighten out the connection between learning and use, and make learning and use closely combined. This is exactly what one-sided exam-oriented education is seriously lacking, and it is also the need for us to continuously strengthen the reform of mathematics teaching. For example, in the teaching of "yuan, jiao and fen", simulated shopping activities can be carried out; In the teaching of "classified statistics", students can count the classes to be studied in a week, the number of class hours in each class and so on. In the teaching of "meter, kilometer", I lead the students to the playground to count the steps and estimate the length.
In short, in my teaching work, as a teacher, we all want to improve the effectiveness and quality of our teaching. To achieve this goal, we must learn more, communicate more and summarize more.
Through teaching, it is found that in order to let students master the problem-solving methods better, it is easier to change the teaching methods by following the characteristics and laws of children's thinking and combining the structural characteristics of the application problems themselves. In my teaching, I made the following attempts in view of the different structural characteristics of the questions and the problems existing in the students.
First, in order for students to solve problems, students must be familiar with the problems to be solved.
Only by making students form the habit of looking at the questions carefully and keeping the plot and quantitative relationship of the questions in their minds from beginning to end can they solve the problems better. Specific practices are as follows:
1. Use practical examples in life to improve students' interest and let students master the methods of solving problems.
2. According to the plot of the application problem, demonstrate directly in kind, so that students can understand the specific meaning of the problem by observing the change of the quantitative relationship.
3. Demonstrate graphically.
Second, guide students to find "intermediate problems" in various ways.
Because of the complexity of the quantitative relationship of complex problems, the scope involved and the wide range of reflecting real life, students must have the necessary thinking level to solve problems correctly. Therefore, the application problem of "two-step calculation" has become the key to solving compound application problems and an opportunity to improve the potential of solving problems. We must adopt effective methods to urge students to find a breakthrough in the "gap" between conditions and problems and make a good transition in understanding.
When learning simple application problems, we should strengthen training in the form of supplementary conditions and supplementary questions. We can also help students understand the structure of compound application problems by asking two questions in succession and changing the questions or conditions, thus paving the way for seeking "intermediate questions".
Third, carefully design exercises to improve the problem-solving potential and thinking level.
1, the training of multiple solutions to one problem
2, changeable training.
3. Check the training of multiple questions
The above is my experience in primary school mathematics education over the years. I want to communicate with all the teachers and look forward to your valuable opinions.
Mathematics classroom teaching is the center of school teaching and the main channel to implement quality education; Using mathematics teaching language is the most important means for mathematics teachers to carry out teaching work. Therefore, accelerating the reform of mathematics curriculum, making it more open, comprehensive and practical, and constantly improving the application level of mathematics teaching language are important topics that every mathematics teacher must explore.
First, thinking about the phenomenon of "group cooperation" in the current classroom.
In this study, the popular group cooperative learning is deeply discussed and analyzed. From "cooperation" to "cooperation", from creating "hegemony" to "superficiality" to solving problems, the problems that should be paid attention to in organizing this activity in the future are pointed out.
Second, listen, think, discuss, say and discuss.
On the basis of this study, I fully exchanged and discussed my thoughts and opinions, and put forward my own confusion and solutions. The content of the seminar was fed back and summarized. It can be said that through this study, I have a deeper understanding and understanding of math class. Really achieved the purpose of organizing this study.
Third, the sense of crisis in learning.
In this study, there are both old math teachers and young college students who have taught me this way for several years. To tell the truth, I always feel that they are still young and despise them. However, through this study, we feel the power of youth. They are not only young, but also have some unique ideas and opinions. "Teachers can't be referees and athletes at the same time" is their view, which is a bit extreme, but it may also show their thinking about the current classroom teaching. Not blindly following experts, not superstitious; I think, in a few years, if they can keep this skeptical spirit, they will certainly grow up quickly. If we don't strengthen our study from now on, in a few years, perhaps, we will be left far behind.
Fourth, strengthen self-study.
In this study, I reflected a lot. I don't have time, and my working hours are very tight-I gave myself several reasons, but in the end, I found that all the reasons were not reasons, because I still had a lot of time. Why? I was thinking. You are lazy and play whenever you have time, for no reason. It was I who relaxed my demands on myself and muddled along-"caused the present situation." I made up my mind in my mind, "from now on, I won't find any reason for everything." I will go my own way step by step, so that people who care about me will no longer be disappointed. "
Mathematics training log 4. During the training, I insist on reading the learning plan every day, actively participate in online seminars and offline discussions, exchange ideas with each other, write training speeches, and finish my homework carefully. I am very busy. In this online training, I finished the homework of asking and answering questions. While studying, I also compare my study with that of other students, reflect actively and find out the shortcomings in my work. At the same time, I had an online discussion and exchange with other students, trying to improve my ability in all aspects.
From work to now, I have been engaged in mathematics teaching in middle schools, constantly learning mathematics knowledge and participating in various teaching and training for many times. This research is of great help to me. No matter from the teaching concept or teaching method, it has been greatly touched. Whether it is the vivid analysis of cases by excellent teachers in the front line, the vivid explanation of theories by famous experts, and the ability to discuss with many math teachers, it has deeply touched my heart and produced emotional voices. This training gave me a new understanding of mathematics teaching. Mathematics is not a boring teaching of numerical formulas, but a very interesting practical subject integrating life, methods and emotions. As the cultivator and leader of students' interest in learning, only by communicating with students' minds, being close to students and life can mathematics teaching enter students' psychology and make mathematics teaching more and more life-oriented. In the whole learning process, I pay close attention to the advanced teaching ideas of experts. I read it again and again, and every time I finish it, I always get something. Through training, it has promoted my re-understanding and understanding of teaching.
Through this serious study and discussion on the topic of education, I can say that I have gained a lot, and at the same time I have brought many new thoughts to my teaching philosophy. Let me talk about my harvest:
1. The benefits of using various teaching methods to improve teaching effectiveness are: encouraging students to explore independently, advocating cooperation and exchange, and exploring the effectiveness of teaching with various teaching methods.
2. Through the discussion and research on the teaching of space and graphics under the new curriculum concept, we can get the following results: For the teaching involving this issue, we should try our best to link mathematics with real life, attach importance to students' life experience, be close to students' real life, cultivate students' awareness of applying mathematics, and achieve the purpose of applying what they have learned.
3. Through the teaching of "application problems" and the cultivation of students' problem-solving ability, the learning gain is that it is no longer the original fixed step, but a real understanding of the teaching process of application problems. Teaching practical problems should focus on the process, methods and teaching strategies of solving problems, rather than simply letting students remember the steps of solving problems.
4. Through the discussion and research of statistics and probability teaching under the new curriculum concept, the results are as follows: In statistics teaching, our teachers should actively guide students to pay attention to the establishment of spatial concepts and guide students to think in various ways and angles. For the teaching of probability, we should pay attention to the connection between contingency and inevitability, attach importance to connecting with life examples, and guide students to practice and reason more.
Network training has opened up a channel for ordinary teachers to get in close contact with well-known education experts and math teachers. By listening to experts' lectures and appreciating experts' scientific educational theories and advanced teaching methods, the educational concept has been fundamentally changed. At the same time, online training has built a broad communication platform for students. Between students and famous teachers, between students and students through online training platform, full learning and communication, all aspects have been improved. Let me talk about my own research experience:
1, you need to make further efforts to improve your professional quality. Through research and study, I think that teachers should not only have noble professional ethics, but also have profound knowledge and a set of effective methods to master the classroom under the guidance of the new curriculum concept. This is the foundation of our education and teaching work. I will take this long-distance training as an opportunity, use various forms to collect information on curriculum resources extensively, earnestly learn from curriculum experts and peer teams, constantly improve teaching methods, and strive to improve the theoretical level.
2. We need to pay more attention to students' dominant position in teaching. Students are the main body of classroom teaching. Classroom teaching should fully understand students, pay attention to each student on the basis of their existing knowledge and experience, and give each student full opportunities to improve and develop. In essence, teachers' teaching is a process in which teachers teach students to learn, not simply teaching and learning. Students are the real protagonists of classroom teaching, and a dynamic class is embodied by students.
It is necessary to further strengthen the cooperation and communication between teachers and students. Through this study, I deeply feel the importance of cooperation, especially in today's society that needs extensive cooperation and communication. Through communication, discussion and study, colleagues reflect different wisdom on the same issue, effectively link knowledge, experience and problems, and solve problems encountered by teachers in daily teaching, thus promoting teachers to improve teaching methods.
4. It is necessary to further strengthen the research and application of teaching strategies. Through learning, I further realize that the effective use of teaching strategies is very important to improve teaching efficiency, stimulate students' interest, and cultivate students' practical ability and innovative spirit.
5. It is necessary to further strengthen the reflection on teaching work. Reflect on your own teaching in time, listen carefully to students' reactions and teachers' comments, modify and improve your own teaching design and teaching strategies in time, reflect on your own practice with theory, truly integrate theory with practice, constantly sum up and sublimate your theoretical level and practical ability in practice, and constantly improve your teaching theoretical level.
Finally, thanks to the online training platform. Through this period of study, I have learned a lot of mathematics teaching knowledge, and I also know that many mathematics teachers are constantly exploring and tirelessly pursuing their dreams. Read many excellent articles and comments; Knowing that many experts are struggling for the cause of mathematics makes me full of hope for the future. To be a qualified math teacher, we must keep learning, constantly update our knowledge, improve our comprehensive quality, and strive for education, students and mathematics!
Journal of Mathematical Research 5. I have been studying online for several days, and the time is short, but the students' dreams are reunited. Moved to learn, reflect in learning, harvest in reflection, and harvest this hard-won day. The inculcation of experts has sublimated my educational concept and enriched my educational theory. Various forms of training have made me deeply feel the importance of learning theoretical knowledge and have a deep understanding of educational concepts and educational science theories. I have benefited a lot from practice. For the future work, I have accumulated strength, cleared my mind and made my goals clearer. As a teacher, we should implement quality education, teach and educate people, and strive to be the vanguard of implementing quality education.
1. In the teaching method of mathematics course, it is emphasized that teachers should guide students to carry out mathematics activities through situations and other means.
During the activity, teachers should understand students' ideas, give targeted guidance, and organize students to cooperate and exchange, and draw relevant conclusions. Therefore, teachers should pay attention to cultivating students' desire to learn mathematics, cultivate good study habits, create vivid and interesting learning situations, combine students' actual teaching, encourage algorithm diversification, attach importance to students' practical activities, pay attention to students' learning process, and creatively use teaching materials, so as to realize the transformation of students' learning methods and improve their lifelong learning potential.
2. Independent cooperation and exploration-the theme of classroom teaching.
"Students are the masters of mathematics learning, and teachers are the organizers, guides and collaborators of students' mathematics learning. "So how to implement students' dominant position in classroom teaching? Mainly the student union, the teacher does not talk, students can learn by themselves, the teacher does not teach, students can put forward by themselves, and the teacher does not do it for them. Teachers should seize the opportunity in the classroom, create conditions for students to study, cooperate and explore deeply, let students learn mathematics through playing, speaking, practicing and discussing, and improve the potential of students' independent learning, cooperative learning and inquiry learning. For example, when teaching two-digit MINUS 42-27, let students self-observation explain the formula by themselves, and then combine a series of activities such as playing, speaking and practicing through exchanges and cooperation, so that students can learn independently, cooperate and communicate, and explore deeply, which not only enables students to easily grasp the information they have learned, but also can start thinking. Students are enthusiastic about learning and actively participate in learning, which truly realizes the change of students' learning style and makes the classroom full of vitality.
3. Connecting with the reality of life-making mathematics learning live.
According to the age characteristics and life experience of primary school students in grade one, students should learn from life and things around them that students can usually see and touch, so that students can truly understand mathematics knowledge in the perception of concrete images. Mathematics comes from life and serves real life. For this reason, in teaching, I strive to create conditions for students, and link mathematics learning with reality and practical activities, so that students can feel that there is mathematics everywhere in their lives and improve their potential to ask, analyze and solve problems. Such as: counting stationery; What can 6, 7, 8, 9, 10 represent in practice? In this way, students can connect mathematics with life, which not only stimulates students' interest in learning, but also enables students to fully mobilize their existing life experience to study and improve their learning potential.
You can't walk out of the closed door by following the rules, because you can't make beautiful fairy tales by standing still. In the vast sky of the new curriculum reform, we should not be afraid of failure, keep working hard and keep innovating. It's a long way to go, Xiu Yuan, and my top-down pursuit.
From this training, I feel that as an ordinary people's teacher, the ultimate pursuit and expectation is to form a unique teaching style, rather than being a "teacher" forever. If you want to take this step, you have to pay constant hardships and efforts to truly realize the glory of self-study. Success and achievement are what everyone yearns for, and you are constantly striving for it, in which you have experienced the ups and downs of life and career.
Through online research, I have been exposed to the new educational ideas of experts and scholars, learned about the classroom teaching designs of many excellent teachers, and fully communicated with the front-line teachers in my class. I gained a lot and felt deeply, but at the same time I realized the deficiency of my own teaching background. Therefore, it can be said that this online training is timely and profound, and the effect of online training will be far-reaching. As a teacher, I deeply feel the importance of learning. In the future teaching, I will base myself on my own work, strengthen theoretical study, change the concept of education and teaching, actively practice the new curriculum reform, and pave my own professional development path. The online study will soon be over, and I personally feel that this study has gained a lot. Inventory income mainly includes the following aspects:
First, understand the knowledge system and teach students in accordance with their aptitude
Systematic understanding of knowledge system The "systematic understanding" mentioned here does not mean that we can index out the contents of a certain chapter or section, but that we should carefully study the history of mathematics development, repeatedly inspect the knowledge system of existing textbooks (mainly referring to the position and function of each knowledge point in the whole knowledge system and their internal relations), the latest research results of elementary and advanced mathematics at home and abroad, and the practical application and future development trend of mathematics in other marginal disciplines and social fields. We know that mathematics textbooks are relatively stable compared with other disciplines, and it can be said that it is common to use a version for several years. This provides an extremely favorable condition for us to better explore the internal relations among textbooks, chapters, sections and knowledge points. Without connection, there is no mathematics. A detailed mathematical system has incomparable internal relations with any other discipline: the derivation of formulas and rules, the introduction of theorems and axioms, the combination of numbers and shapes, the establishment of three-dimensional sense, and so on.
Paying attention to the ability requirements of "sustainable development" is not a new topic. To realize the sustainable development of talents, the cultivation of ability is very important. Mathematical ability is usually divided into general ability and professional ability, among which general ability includes: observation, understanding, memory, application, etc. Professional abilities include: calculation ability, logical thinking ability, reasoning and proof ability, spatial imagination ability and so on. The cultivation of different abilities often requires different methods. Therefore, before we impart knowledge, we must be clear about the ability requirements and be targeted.
To fully implement the strategy of teaching students in accordance with their aptitude, each student has his own characteristics, and it is obviously unrealistic to "unify all students" with a teaching plan. The lesson plan must be oriented to all students, which requires that the content of the lesson plan should have a considerable "gradient". This "gradient" should make the students with good foundation "endless"-leave them with some thoughtful questions as a continuation of the classroom content; Let the students with relatively poor foundation "eat well and are reluctant to go".
Let them find confidence and a sense of accomplishment in simple topics. Whether to teach students in accordance with their aptitude is an important aspect to test teachers' ability to control the classroom and teaching level, and it is also a prerequisite for preparing math lessons.
Second, a good relationship between teachers and students is the premise of learning mathematics well.
First of all, teachers should respect, care and trust students. Respecting, caring and trusting students and getting along well with them are the basis of creating a harmonious classroom atmosphere. In teaching activities, teachers and students form a stable and continuous relationship psychologically, which is not only manifested in knowledge and ability, but also in emotional and spiritual communication. First of all, teachers should care, trust and respect students.
2, based on the classroom, enhance their own value in practice.
Classroom is the main position for teachers to reflect their own values. In line with the concept of "all for students, all for students", I devote my love to students wholeheartedly. In the future teaching, I will try my best to apply the new curriculum ideas I have learned to classroom teaching practice, based on "using new and old textbooks and practicing new ideas." Strive to make my mathematics teaching more distinctive, form a unique teaching mode, better reflect the requirements of quality education and improve the quality of mathematics teaching. At the same time, as a class teacher, I deeply understand that teachers' words and deeds affect students and will set an example for students. Ideological education should always be unremitting, focusing on cultivating students' good moral quality, study habits, labor habits and civilized behavior habits.
Third, pay attention to guiding students to think for themselves.
"self-study" means that students read books and understand textbooks by themselves, and teachers guide their study; Find out the key points and mark the problems when you find them. As the ancients said, learning begins with thinking, and thinking begins with doubt. Let students read and think, which not only gives students time and space to think, but also lays a good foundation for the next step of teaching, and enables students to develop a good study habit of being diligent and eager to learn. Pay attention to let students explore mathematics and develop their thinking ability in "doing mathematics" Create teaching problems and arouse students' discussion and debate.
① Pay attention to guiding students to communicate, ask questions and solve doubts in groups. On the basis of students' self-study, exchange key points in the group, question each other, and write down the unsolved problems. In this process, because everyone has to explain their own views and opinions, we can fully mobilize and give full play to the enthusiasm and initiative of students to participate in teaching, drive students with learning difficulties, play a complementary role in communication, and stimulate people's intention to study in depth. At the same time, it can cultivate students' spirit of unity and cooperation.
② Actively ask questions between groups. First of all, students write the unsolved problems in the group on the blackboard, and students number them according to the content of the textbook. Psychological research shows that students have a strong desire to express themselves. The problem of letting students write on the blackboard on the stage gives them the opportunity to show their talents; The serial number is compiled by students according to the content of the textbook, which deepens the understanding of the textbook knowledge system. Secondly, the teacher organizes the whole class to solve the problems on the blackboard and form a group to solve them. During this period, the whole class can express their views on every issue, illustrate their views with examples, and even debate. Students ask questions mainly by solving doubts, and teachers organize, participate, guide and learn in the teaching process. For problems that students can't solve, teachers may study with students, or guide and guide them in time, but they can't think for students.