Summary is a written material for social groups, enterprises and individuals to review, check, analyze and evaluate their achievements, gain experience, find out the gaps, learn lessons and have some regular knowledge after a certain period, a project or a work has come to an end or has been completed. At the same time, summary is a word, which can be used as a verb or a noun, and it is also an applied style. This article is my carefully edited summary of junior high school grade one mathematics learning, hoping to help you!

During the ten-day training and study, all the students actively participated in the cooperation, with the active efforts of the tutor and a lot of meticulous work, and extensive and comprehensive discussions and comments, which made the training work successfully completed.

First of all, the understanding of the new curriculum goes further:

1, mathematical knowledge is closely linked with real life.

Mathematics is a process in which people grasp the objective world qualitatively, describe it quantitatively, abstract it gradually, form methods and theories, and apply them widely. This process comes from the reality of life. It is ubiquitous in human society and plays a very important role. It is not isolated from books. It is closely related to life and inseparable from life. Therefore, mathematics should come from life and can solve practical problems in life. Therefore, in the preparation of new textbooks, more life scenes and scenes are used to make students feel that learning is useful and can be participated.

2. Pay more attention to students' all-round, sustained and harmonious development.

The design of teaching materials pays more attention to all students and cultivates students' personality. We know that every student will be caused by various reasons such as living environment, intellectual development and personality characteristics. Everyone has different understanding and acceptance of knowledge, showing different learning effects. This phenomenon is true. Teachers should fully respect this difference of students and put forward reasonable requirements for each student, so that each student can learn valuable mathematics and different people can get different development in mathematics.

3. The form and content are more diversified.

Mathematics courses in senior high schools are divided into compulsory courses and elective courses. The compulsory course consists of five modules, and the compulsory course is the mathematics content that every student must learn. There are four series of elective courses, of which series 1 and series 2 consist of several modules, and series 3 and 4 consist of several topics. Each module has 2 credits (36 hours), and each project has 1 credit (18 hours). Each project can be composed of 1 modules. For elective courses, students can choose according to their own interests and future development wishes.

4. Mathematics teaching activities are more abundant.

With the deepening of education reform, the reform of traditional teaching is imperative. Changing "I want to learn" into "I want to learn" requires teachers to give students enough time and space, provide students with rich learning materials, and let students learn independently through discussion, communication and other learning forms.

The core of the new curriculum concept is "for the development of every student", which I think is the only criterion for evaluating the new curriculum classroom teaching.

Second, realize the reform of the new curriculum:

1 First of all, we must grasp the purpose of the new curriculum: let students unconsciously master the teaching content in entertainment, get emotional experience and education, pay attention to giving full play to students' subjectivity and initiative, change passive acceptance into subjective participation, change students into self-learning, and change teachers into guides. Under the guidance of this purpose, we should pay attention to design, methods and classroom effectiveness, and realize the three-dimensional integration of "knowledge and skills as the basic goal, process method as the core goal and emotion, thinking and values as the ultimate goal". In teaching, we should pay attention to processes and methods, through which students can learn basic knowledge and master basic skills, and comprehensively cultivate their thinking, imagination, observation, language expression ability and spirit of unity and cooperation. We should always attach great importance to the establishment and cultivation of students' self-confidence, cultivate the spirit of hard work and optimism, and lay a solid foundation for their first life.

2. Teachers design questions, students ask questions, teachers and students interact, and finally solve problems, which is the specific process to achieve the main teaching content and teaching objectives. Students' "happy learning, happy learning" is the essence of implementing the new curriculum and changing their concepts in thinking methods.

As a teacher, we should completely change the role and turn the original starring role into a director. The teacher's main task is to guide the class, and of course to give lectures. Turning students into audience-oriented actors means that everyone can think, participate and act in an interesting atmosphere, so that knowledge and emotion can flow in every student's heart and everyone can improve their ability. Group discussion and study are good ways to achieve this goal.

4. Teachers should fully trust students, let students become the masters of learning, and carry out independent cooperation and inquiry learning.

5. In the implementation of the new curriculum reform, teachers should become researchers and explorers of teaching materials, not just interpreters of teaching materials. Teachers should become new, democratic, research-oriented and artistic teachers, and take education as a career, not just a job. Only in this way can it be welcomed by students and parents.

6. In classroom teaching, every student can think, ask questions and solve problems, which is the golden key to wisdom. We should always pay attention to the connection with real life and cultivate students' practical ability.

7. In the future, we will continue to enrich our knowledge, renew our concepts, change our methods, combine the old with the new, and create our own educational and teaching characteristics to serve the educational cause.

Third, I realized the hardships of curriculum reform:

After studying, I also talked privately with teachers from all over the world, deeply feeling that the future of curriculum reform is bright, but the current difficulties and obstacles can not be ignored. The success of curriculum reform requires efforts from all sides. This difficulty comes from the aspect of funds-serious shortage or improper use of funds; There is a final evaluation from within education that everyone cares about, and teachers, parents and all walks of life are very concerned about the final evaluation; Improve the quality of rural teachers; Curriculum convergence between senior high school and junior high school, college entrance examination; Problems in curriculum standards and teaching materials; A large number of teaching AIDS in the market are randomly printed and printed; Teachers' quality level, understanding of curriculum reform and some problems in training ... After several days of intense and orderly study, we have learned the concept of curriculum reform, the direction of mathematics education, the design idea of teaching materials and the implementation of mathematics classroom teaching. I also realized the hardships of curriculum reform.

Fourth, new thinking has been added:

I think the burden of every educator is not light, because it is not enough to have enthusiasm for the new curriculum. We must have sufficient theoretical preparation and update our educational concepts. For the success of curriculum reform and the next generation of mathematics education, we mathematics educators should pay attention, think, act, pay attention and explore. For the success of curriculum reform and the bright future of mathematics education, let's work hard together and fight hard in the land of new curriculum.

Mathematics has always been my specialty, and I haven't had any big problems since I was a child, but since I entered junior high school, this sentence has been completely subverted.

Since junior high school, I feel that my math doomsday has begun, although my primary school math foundation is very good. However, due to some factors, I haven't studied hard since junior high school, but when I realized that my math scores were on the verge of passing, I summarized the following questions.

First of all, the basic aspects of mathematics are very important, just like the simple multiplication table of 1999, but the critical moment is also very important. I have also seen many people defeated by the multiplication table of 99 with my own eyes. As long as you are careful, the basic aspects are completely fine. So the calculation problem only needs snacks, and then logical thinking. For many questions, logical thinking is also very important. As the teacher said, doing such a problem requires association and transformation, and it should be solved from all aspects, angles and methods.

Then choose and fill in the blanks. Most of these two questions are given points, and the difficulty lies in the latter two questions. So as long as you carefully choose to fill in the blanks, the last two items are more points. Basically, I don't have much time to think about this problem. I just skip what I want to do in the future, forget what I want to do in the future, and then think back.

Finally, there are some problems that need to be solved by memorizing formulas. Therefore, even in mathematics, it is impossible not to recite formulas. The teacher also said, you can't learn by rote, you can't imitate, you should use it flexibly. But the formulas are all other!

This is my summary of mathematics. I hope it can play a useful role in high school. In order to go further in the future, I will not give up any subject. As long as there are difficulties, there must be a solution.

After the transition from junior high school to junior high school, the first-year students have completely adapted to the teaching ideas and methods of junior high school. Therefore, the focus of teaching this semester has shifted to: how to improve the classroom teaching effect and how to cultivate students' ability. Combining the above two points, I combine the characteristics of students in my usual teaching. Bold attempts and improvements have been made, and good teaching results have been achieved, which are summarized as follows:

First, create a democratic and harmonious learning atmosphere.

To cultivate students' learning ability of independent innovation, we must create the best atmosphere for students' independent learning. With the development of junior high school students' self-awareness, their self-esteem and personality independence will also be significantly enhanced. They need a space and time to exchange feelings with adults on an equal footing, and create a democratic and harmonious learning atmosphere, which is conducive to reducing students' mental burden in learning and arousing students' strong desire for knowledge in teachers' love, respect and expectation. For example, in the section of three-dimensional graphics in life, I ask students to talk about which objects are similar to cuboids and cubes. What objects are similar to cylinders and cones? You can name one or two. Make students arouse a strong desire for knowledge in their love, respect and expectation for teachers, thus prompting students to actively study and explore.

In teaching, teachers and students should be in an equal position to study, discuss and study. Teachers should be equal participants of students and play an active guiding role. In my teaching, I attach importance to the opinions of my classmates, encourage more, reprimand less, guide more and do less. In class, let students think fully, express their ideas and practices, let students dare to speak, love to speak and put forward different ideas, encourage students to ask questions and answer each other in the process of discussion and thinking, realize multi-directional information exchange, and let students really become the main body of learning.

Second, to stimulate students' active participation

Junior one students are young and curious. In teaching, I fully seize this favorable opportunity to stimulate students' interest in learning, give full play to the advantages of new textbooks, make full use of the beginning of each section in the book, create situations, launch competitions, skillfully ask questions, stimulate success, and use audio-visual teaching to stimulate students' strong thirst for knowledge and strong interest in learning. For example, when learning "Basic Knowledge of Statistics", the design situation is: a classmate's mother wants to open a middle school student sports shoe store near the school, and she has already selected the store, and only the goods are left. However, when purchasing, how old should she enter more and how old should she enter less? Then, help her design a solution to the problem today.

Secondly, fully develop classroom democracy, stimulate students' subjective consciousness, develop students' learning potential, truly handle the relationship between teacher-led and student-centered, guide students to actively participate in the learning process, and actively use their brains, hands, mouth, eyes and ears. Make students in the state of subject activation to the maximum extent, and gradually form the ability of active exploration, diligent thinking, courage to innovate and active participation in learning.

Third, advocate group cooperative learning.

According to Eriksson's development theory, the psychological conflict in adolescence is the conflict between identity formation and role confusion. The so-called identity is an individual's quite consistent and complete consciousness of his own essence, value, belief and life direction. Generally speaking, the individual is seeking the answer to the question "Who am I?" Teenagers with strong self-identity often regard themselves as independent and unique individuals. Therefore, I pay attention to cultivating group consciousness and cooperative learning in teaching, enhancing group consciousness and sense of responsibility in learning, attaching importance to "group cooperative learning", mobilizing students' initiative and self-exploration, promoting emotional exchange and information exchange between teachers and students, and realizing multi-directional information exchange, so that students can learn to check themselves in the process of checking others, learn to evaluate themselves in the process of evaluating each other, and learn to learn to learn, learn to cooperate and learn to respect others in information exchange.

Fourthly, teaching materials should be combined with students' reality.

The new textbooks now provide our math teachers with a vast world and are very flexible. I combine my own students and the requirements of the new curriculum, flexibly handle and grasp the teaching materials, re-integrate knowledge, and achieve the best teaching effect. For example, the logical reasoning of geometry in the new textbook was carried out the next day after a certain understanding of geometry, but a lot of rational problems were discussed on the first day. So I will gradually prove geometry according to the fact that my students have a certain foundation in logic, and gradually penetrate into the normal requirements when learning this parallel line. As a result, students have learned the difficulties of geometric proof well.

Fifth, students explore the new and different.

Einstein said, "It is often more important to ask a question than to solve it." "Learning is suspicious." Students have doubts in their study, which shows that they have a strong thirst for knowledge and their brains are actively thinking, which is the performance of active learning. I attach great importance to every student, let them think independently, dare to express different opinions, and strive to create a democratic, lively and vivid learning atmosphere. When students begin to question, they often lack careful thinking. If the question is simple, give it a positive answer. The questions raised were praised as innovative. In this way, after a period of training, most students can find some targeted problems and gradually bring them to the topic.

In addition, when answering questions and solving problems, we should pay attention to more answers and solutions, encourage students to put forward new ideas and methods, let students use their knowledge creatively, and strive to cultivate their innovative spirit.

Sixth, guide the learning strategies.

Darwin famously said, "The most valuable knowledge is the knowledge about methods." To cultivate students' autonomous learning ability, we must infiltrate and guide learning methods in teaching, improve students' learning ability, lay the foundation for their lifelong learning, and form the habit of learning to learn. According to the teaching content, I often teach some learning methods, such as how to preview before class, how to listen to the teacher explain and analyze the topic, how to review, etc. So that my students can gradually master the learning methods and some learning rules, and improve their learning efficiency and learning ability. Secondly, pay attention to guiding students to develop good study habits, and habits become natural. Thirdly, students are often guided to summarize the learning process, find suitable learning methods, gradually master learning strategies, and improve their independent innovation learning ability.

After half a semester's practice, the class has initially formed a relatively strong learning atmosphere, and the problems involved in mathematics can cooperate and exchange with each other and actively explore, and the students' language expression ability and innovation ability have been greatly improved. The grades of students in their classes have generally improved. In the past, the so-called "poor students" all had their own positions, especially the questions that needed hands-on experiments. They are very interested and do it quickly. After several unit tests, we can get good results, especially the scores of ability questions have been significantly improved. It fully embodies the educational and teaching ideas under the new curriculum concept.

Summary of junior high school mathematics learning Article 4 Junior high school plays a connecting role, connecting primary school and senior high school, so junior high school learning is very important. Junior one is the foundation of junior high school, and mastering solid basic skills is the premise of success. For the first-year students, there are few subjects and shallow knowledge in primary school, and most of them are teachers, so the learning methods students need are relatively simple. After entering middle school, subjects are increased, contents are broadened and knowledge is deepened, especially mathematics develops from concrete to abstract, from numbers to symbols, from static to dynamic ... The cognitive structure of students has undergone fundamental changes. Therefore, it is very necessary to pay attention to the summary of mathematics learning methods of junior one students. Let's share some math learning methods with you. According to several links of students' learning (preview, lecture, review and consolidation, homework and summary), this paper probes into the learning methods of different levels and steps from a macro perspective. This learning method is universal and can also be used in other disciplines.

1, preview method

(1) rough reading, first browse the relevant contents of the textbook and master the general situation of this section of knowledge.

(2) Read carefully and repeatedly, experience and think about important concepts, formulas, laws and theorems, pay attention to the formation process of knowledge, and mark the concepts that are difficult to understand before and after, so as to attend classes with questions. Listen to the teacher explain the relationship between knowledge and how to think and solve key problems. In terms of methods, classroom preview or unit preview can be used. Practice has proved that developing good preview habits can make students change passive learning into active learning, and at the same time, it can gradually cultivate students' autonomous learning ability.

2, the method of listening to lectures

Under the guidance of teaching methods, we should deal with the relationship between "listening", "thinking" and "remembering".

"Listening" is to directly accept knowledge with the senses, and students should be instructed to pay attention to:

(1) Listen to the learning requirements of each class;

(2) Listen to the process of knowledge introduction and knowledge formation;

(3) Understanding the analysis of key points and difficulties (especially the doubtful points in preview);

(4) Listen to the reflection of problem-solving ideas and mathematical thinking methods;

(5) Listen to the summary after class.

"Thinking" refers to students' thinking.

(1) Think more, think diligently, and think with listening;

(2) Thinking deeply, that is, tracing back to the source and being good at asking questions boldly;

(3) Good thinking refers to association, conjecture and induction through listening and observation;

(4) Establish critical consciousness and learn to reflect. It can be said that "listening" is the key to "thinking", and "thinking" is the deepening of "listening" and the core and essential content of learning methods. Only when you think can you learn.

"Notes" refers to students' class notes.

(1) Take notes, obey lectures, and seize the opportunity of recording;

(2) Remember the main points, questions, solutions, brief analysis and methods;

(3) Remember to summarize and think after class. Make it clear that "remembering" serves "listening" and "thinking".

Only by grasping the relationship between the three can the main link of mathematics learning reach a more perfect realm.

3. Review the methods of consolidating and completing homework after class, and pay attention to the following points when reviewing consolidation.

(1) How to transform written language into symbolic language;

(2) How to express the process of reasoning and thinking in words;

(3) Draw figures correctly according to the conditions and cultivate the idea of combining form and number.

4, summary or inductive method, this should do the following.

Take a look: read books, notes, exercises, remember and be familiar with what you have learned through reading;

Two columns: list relevant knowledge points, mark key and difficult points, and list the relationship between knowledge points, which is equivalent to writing summary points;

Three Doing: On this basis, solve some exercises of various grades and types purposefully, emphatically and selectively, and find and solve problems by solving problems and then giving feedback. Finally, it summarizes all kinds of questions and problem-solving methods that reflect the knowledge learned. It should be said that learning to summarize is a higher level of mathematics learning.

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