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# Personal Summary of Excellent Senior High School Mathematics Teachers (1)#
Thinking ability mainly refers to: observation, experiment, comparison, guess, analysis, synthesis, abstraction and generalization; Able to use induction, deduction and analogy for reasoning; Will logically and accurately explain their own ideas and opinions; Can use mathematical concepts, ideas and methods to distinguish mathematical relations and form good thinking quality.
Good thinking habits are not born, but are formed in conscious cultivation and in constant practice. Cultivating and developing students' good mathematical thinking habits is the pursuit and responsibility of every mathematics educator, an important cognitive strategy to guide students' subsequent behavior, and the highest stage for students to learn wisdom and skills. 55438+0.
Knowledge and thinking ability complement each other. Without knowledge, cultivating ability will become passive water and rootless wood. Basic knowledge is a powerful weapon to solve problems, but the basic knowledge mentioned here is by no means learned by rote. It refers to concepts, formulas, patterns, laws and so on. Then we should understand its essence, thoroughly straighten out its logical relationship and form an organic network. Without understanding and mastering mathematical concepts, principles and methods, it is impossible to carry out thinking activities such as analysis, synthesis, abstraction, generalization, judgment and reasoning smoothly.
To cultivate students' flexible basic knowledge, the best thinking training is the training of fill-in-the-blank questions and multiple-choice questions. Teachers often pay attention to the individual training of filling in the blanks for the senior three exams. In fact, the author believes that in senior one, we can choose the right time to carry out operation training in class within a limited time, which is similar to the speed reading exercise in English class.
In the operation, pay attention to control the time, the difficulty of the topic is moderate, the number of topics is appropriate, and the topic analysis is moderate (if possible, let the students complete the question and answer, the students have just finished the exercise, and the novelty makes them eager to try). The following table is the exercises for filling in the blanks in Grade One of our school. Generally, the time is between 25 minutes and 30 minutes, and the number of questions is around 12 to 16.
Fill in the blanks and practice multiple-choice questions 1 1. Let the domains of functions F (x) and G (x) both be R, and the solution set of f(x)≥0 is {x| 1≤x0. 2. Define A-B={x|x∈A and. 3. The known set A = {x |-x+3x+ 10 ≥ 0}, B = {x | m+1≤ x ≤ 2m-1} ≠ φ, if the value range of BA and m is. 4. known complete set U=R, set A={x||x-2|≤ 1}, set B={x|lg(x+5)>Lg6x}, UAB=. 5. Given that f (x) is odd function, the domain is {x|x∈R, x≠0}, f(x) is increasing function in the interval (0, +∞), and f(- 1)=0, then f(x) >; The value range of x of 0 is. 6. The maximum value of the function fxlog1x 211x1is. X 17 ... The solution set of increasing function, f0 and inequality 13flog 18x0 of even function f(x) defined on R on a given interval 0 is. 8. It is known that f(x)=|log3x|, if f (a) >; F(2), then the range of a is. . 9. The known inequality about x | ax+2 | b >; C and a+b+c=0, the following inequality is () a.a >; b & gtc； B.a | b |>c | b |C.ac & gt BC; D.ab & gtAc. 13 ... If the function fx2223 1, then the function is () 2x1a. On (-∞,+∞). There is no minimum value in monotonic decline; B. monotonic decline has a minimum value; C. monotonic increase without maximum; Monotonic increase has a maximum. Answer: 1. 1.{x | x | x | x | x | x | x | x | x | x | x | x | x | x | x | many students don't understand math textbooks. In order to accomplish the teaching objectives and tasks of middle school mathematics, teachers should first study and familiarize themselves with the teaching materials, dig out the hidden knowledge points contained in the teaching materials, help students understand and master the teaching materials, and cultivate their research ability.
For example, the section on images and properties of power function yxn(nN) in senior algebra is very long.
It is difficult for students to understand the laws of images. In order to break through this difficulty, after talking about the properties of n0 and n0 in textbooks and observing several images with students, four laws about power function images are summarized: ① fixed point: when n0, the image passes through the fixed point (0,0), (1,1); When n0, the image passes through a fixed point (1, 1).
② Direction: In the first quadrant, when n 1, the image gradually extends upward; When N1,the image gradually extends to the right; When n0, the image is infinitely close to two coordinate axes. ③ Quadrant: When yxn(nQ) is odd function, the images are distributed in the first and third quadrants, which are symmetrical about the origin. Is an even number function.
The images are distributed in the first and second quadrants and are symmetrical about the Y axis. When it is a parity function, the image is only distributed in the first quadrant; There is no image in the fourth quadrant.
④ Special: n0, a straight line parallel to the X axis, excluding the point (0,1); When n 1, a straight line bisecting the first and third quadrants.
After this generalization, students have basically mastered the nature of power function and the law of images. Therefore, the induction and generalization of knowledge is not only necessary for learning, but also indispensable for the logical reasoning ability to solve problems in future work practice. Our teachers should gradually cultivate students' ability to adapt to the needs of social work in teaching, which is also an important aspect of thinking training.
The essence of mathematical operation is a process of deducing results from known data and formulas according to the definition and nature of operation, and it is also a reasoning process. In the process of mathematical reasoning, there are abundant mathematical ideas and methods, especially in the proof of mathematical theorems and formulas. Through the deduction of theorems and formulas, it is proved that we can obtain thinking methods and skills to solve problems. In the teaching process, teachers should fully reveal mathematical thinking methods and present their own thinking process (the thinking process of learning mathematicians) to students as clearly as possible, so that they can see how teachers think. This kind of demonstration will have a good influence on helping students form a correct cognitive style and improve their reasoning ability.
In mathematics teaching, we should emphasize the balance between "process" and "result" of mathematics, so that students can experience the process of obtaining mathematical conclusions, rather than just paying attention to the results of mathematical activities. What does it mean to "go through the process of getting a mathematical conclusion" here? We believe that its essence is to give students the opportunity to explore and discover the laws of mathematics through their own generalization activities. For example, the author cited this method at the beginning of the demonstration class "Analysis and Discussion of Abstract Function" of the "Hundred Courses Project" series in Xuhui District to reveal the solution to the synthesis problem of abstract function, which separated the knowledge points layer by layer: Example 1: the function f(x) is a positive real number for any A and B, and there is always f (ab) = f (a)+f (/kloc-.
(2) If the definition of f(x) is changed to: x∈(-∞, 0)∩(0, +∞), there is always f(ab)=f(a)+f(b). What conclusion can you think of?
(3) If x> is 1 and f(x) 1, f(x) Method 1: List the wrong solutions for students to compare. For the common problems in marking, let students identify and learn.
Students use their own understanding to refute mistakes and avoid them from happening again. So at the beginning of a class, students think and argue, and soon enter the state.
Method 2: List similar problems for comparison. This is the key to the analysis. For example, there are only five questions in the homework, and each question is
Under the guidance of the teacher, we can draw inferences from the facts, that is, fifteen questions, or even more. So I prepared a lot of homework analysis. In order to achieve the effect of similar exercises, I grouped similar types of topics, so that students who had already practiced for the first time could think positively. This is where extended thinking is cultivated. After a long time, students began to learn this trick. Sometimes, students will come up with some conclusions and demonstrate them on the spot. The classroom atmosphere is quite active; Sometimes after class, students will ask, what should I do if I change so-and-so conditions? For example, the judgment function f (x) = (x- 1)
The parity of 1x is _ _ _ _ _ _ _ _ _1x. Students often pay attention to the process of finding whether f(-x) is equal to F (x), but ignore the prerequisite of judging parity and the process of defining domain. In fact, this problem is "nonsingular"
At the same time, teachers can cite functions with similar characteristics: "yx2x 1x 1" (odd and even functions);
1x 222 "y" (odd function); "yx 1 1x" (even and odd functions are acceptable) and so on.
X33 Secondly, in the process of analyzing examples, adopting the teaching strategy of "multiple solutions to one problem" is also a good way to promote students to develop the habit of reflection. Students should consciously summarize, reflect, refine and sublimate after solving problems. By reviewing, chewing, digesting and combing the thinking process, we can delete useless, redundant, wrong and tortuous thinking forks, find out the clues and keys to solving problems, and make the thinking process clear, organized and simple. Or let students think further: Is there a better solution? What similar problems can be solved in the same way? Can it be promoted from special to general? Can conditions be weakened? Can the conclusion be strengthened? Do the thinking strategies and methods in solving problems have universal significance?
# Personal Summary of Excellent Senior High School Mathematics Teachers (Part II) #
This semester, I studied hard, strictly demanded myself from all aspects, actively consulted the old teachers, and worked diligently and conscientiously in combination with the actual situation of our school and students, so that the teaching work was carried out in a planned, organized and step-by-step manner. In order to make greater progress in the future work, this paper summarizes the teaching work of this semester, hoping to carry forward the advantages, overcome the disadvantages, summarize and test the experience and lessons, carry forward and promote the teaching work in the way of by going up one flight of stairs. Summarized as follows:
First, strive to improve the quality of the classroom and pursue the maximization of review benefits.
1, carefully study the examination instructions and syllabus of the new curriculum reform, strictly implement the curriculum plan, and ensure the seriousness of the teaching progress. On the basis of defining the semester teaching plan, senior three students often prepare lessons in the preparation group from this semester, integrate the teaching plan, and organically combine long plans with short arrangements, which not only reflects the consistency of semester teaching, but also reflects the flexibility of stage teaching.
2. Accurately locate the review difficulties and improve the pertinence of classroom review. We regard critical students as the main object of college entrance examination review, and design classroom teaching according to critical students' knowledge structure and ability level, instead of unilaterally pursuing "high, difficult and sharp", and gradually improve the ability requirements, highlight key points and break through difficulties on the premise of laying a solid foundation.
3. Constantly optimize the classroom structure to promote the effectiveness of classroom quality. First of all, according to the characteristics of the review class, the review ideas are clarified, and a "four-in-one" classroom model for the second round of review is constructed: ability training+test paper evaluation+sorting and digestion+error correction and consolidation.
On the basis of a round of review, ability training can find the defects of students' test sites and carry out targeted intensive training; The evaluation of examination papers should be based on the statistics of error rate and the analysis of error reasons, and the evaluation object should be clearly the outstanding students of the whole railway. The measure of the evaluation effect is to see whether the outstanding students of the whole railway really understand; First, arrange and digest to ensure the time for digestion in each subject; The topic with high error rate is trained in the form of deformation within a certain length of time, and it is reflected in the weekly training.
Second, let students do the questions well and give full play to the maximum function of training.
1, implement the "ashore" system to improve the quality of practice. "Go into the water" is to "go ashore", and the teacher does the problem to choose the topic. To this end, I first gave the students the topic and strengthened the work of selecting the topic. The exercise materials are not copied from the ready-made materials, and the topics throughout the year are discussed collectively by the preparation group. It is necessary to transform it first and then use it, and strive to choose the topic accurately and conform to the academic situation.
2. Effectively monitor the training process to ensure the effectiveness of the training. Pay special attention to the planning of training and define the weekly training plan. Careful statistical analysis, especially for key students. Instruct students to make self-correction and conduct regular error correction training.
In addition, for the examination, we should strictly follow the examination process, pay close attention to the examination style and discipline, pay attention to the adjustment of examination psychology, standardize the guidance of answering questions and the cultivation of examination skills, and strive to eliminate the loss of non-intellectual factors. Do a good job in the quality analysis of each exam in time, so that the analysis results can guide the review work quickly and directly.
3. Strengthen basic customs clearance and implement hierarchical promotion. In view of the relatively weak foundation of students, the method of passing the basic questions is implemented. On the premise of laying a solid foundation, the experimental class appropriately improves the training difficulty, and at the same time implements the graded training of required questions and selected questions. This measure has achieved good results in improving students' grades.
There are still many things I haven't done enough. I will keep a modest and prudent style, guard against arrogance and rashness, keep making progress in my future work, live up to the trust of leaders and parents, and make great achievements in the new year.
# Personal Summary of Excellent Senior High School Mathematics Teachers (Chapter III) #
This semester, I worked hard to improve the ideas and methods of education and teaching, carefully grasped all aspects of education and teaching, and carefully guided students to understand and consolidate basic knowledge and skills. I have made remarkable progress in learning attitude and learning methods, and achieved due results. Now this semester's teaching
First, lesson preparation is divided into two parts: preparing teaching materials and preparing students, which complement each other and influence each other.
Compiling teaching materials is to design classroom teaching scenarios according to what you have learned, and strive to be simple, vivid and flexible, combining teaching with practice, truly reflecting the main role of students and the leading role of teachers; Student preparation refers to comprehensively grasping the current situation of students' learning mathematics, designing a reasonable and appropriate teaching atmosphere according to their learning attitude and level, fully considering their intellectual development level, expanding their cognitive fields, providing students with a platform for thinking training, creating familiar learning scenarios, and providing possibilities for their psychological development and knowledge accumulation. When preparing lessons, we should pay attention to the reality of students and the reality of teaching materials, so as to give consideration to both and improve the pertinence and effectiveness of preparing lessons.
Second, attending classes is the main link of teaching activities and the key stage of teaching work.
In class, we should focus on students' activities, give lectures to all students, give priority to heuristics, give consideration to individual students, guide students to actively participate in learning activities, understand and master basic concepts and skills, so that students can not only gain knowledge but also improve their ability to solve problems, gain the wisdom they deserve, and master the thinking method of thinking. Concept class enlightens and guides students to understand and master the background and development process of new concepts, shows the internal relationship between old and new knowledge, and deepens their understanding and mastery of concepts; In the consolidation class, we insist on "intensive teaching and more practice", select typical examples, guide students to carefully analyze the characteristics of problems, seek ideas and methods to solve problems, and put forward reasonable solutions, so that the explanations are easy to understand and the methods are comprehensive, so that students can digest in practice and truly improve their ability to analyze and solve problems.
3. Homework includes exercises, exercises and homework in textbooks, which put forward different requirements for students at different levels:
All students are required to complete the exercises in class as much as possible and explain them in time; Group A selects targeted topics as written assignments, and requires students to finish them independently after class and revise them in batches, so as to gain a deeper understanding of students' mastery of new knowledge, new concepts and new methods. Group B puts forward appropriate requirements for students who have spare time to study and prompt them in time for further improvement. For homework, we should master it flexibly according to the actual situation, carefully choose the topic, seek quality instead of quantity, strengthen and deepen students' understanding and mastery of conceptual formulas, especially correct the mistakes in students' homework in time, so as to accumulate students' experience in solving problems and improve their understanding ability.
Four, counseling is mainly to guide students to the old class in time.
Preview new courses, especially for students' existing problems, or answer questions individually, can really ensure the continuity of students' mathematics learning, establish the connection of knowledge network, and guide students to master mathematics knowledge, concepts and methods from a systematic height. Especially in after-school tutoring, pay more attention to students with weak learning foundation, help them build up confidence in learning mathematics, and make them make due progress. In short, teaching should not only implement routines, but also adapt to local conditions, keep pace with the times, take corresponding measures and methods according to the specific conditions of students, plan, implement and check, pay attention to every student, every classroom, every link, small points and start from small points. Only in this way can it be conducive to the improvement of teaching quality and the healthy development of students' body and mind.
As an ordinary senior high school math teacher, I feel very honored to give a report on my math teaching experience here, and I also feel the heavy responsibility and pressure on my shoulders. Below, I will talk about my own experience in the process of high school mathematics teaching and as a class teacher in the process of communicating with students:
1, the importance of cognitive mathematics education
Mathematics education in senior high school is a basic natural science, which plays a connecting role in the knowledge education of life and is also the basis for learning physics, chemistry, computer and other disciplines. It plays an irreplaceable role in cultivating students' innovative and applied consciousness, understanding the scientific and cultural value of mathematics and forming rational thinking.
2, according to the syllabus, scientifically determine the teaching objectives.
In high school, students need to learn the basic knowledge and skills of algebra, geometry, probability statistics and calculus, as well as mathematical thinking methods.
In the process of mathematics teaching, we should pay attention to cultivating students' ability to ask, analyze and solve problems in mathematics, develop students' innovative consciousness and application consciousness, improve students' mathematical inquiry ability, mathematical modeling ability and mathematical communication ability, and further develop students' mathematical practice ability.
Several problems that should be paid attention to in practical teaching
1. Teaching should first narrow the distance between teachers and students.
As the main body of learning, whether students can exert their enthusiasm and creativity is the primary factor of teaching success or failure. Therefore, in teaching, it is particularly important to carry out moral education for students first. First, eliminate the sense of distance between students and teachers, let students have a sense of trust in teachers, and establish a friendly relationship between teachers and students, which is the source of students' learning motivation; Second, we should really care about students' lives, let them feel the warmth like relatives, change the dignified face of teachers, and make students more willing to be close to teachers and the subjects they teach; Third, students who make mistakes will not be tolerated, but the methods must be appropriate, so that students feel that you criticize him for his own good, so that they are willing to accept your criticism and correct their mistakes.
2. Teaching should always be for all students.
Facing all students is to promote the development of each student, not only to lay a good foundation for all students, but also to pay attention to the development of students' personalities and specialties. Before students enter school, due to various factors, there are great differences in mathematics knowledge, skills, abilities, mathematics experience and interests, especially the practical problems of students in our school-outstanding personality and relatively weak basic knowledge. Therefore, in the teaching process, we should not only respect students' individuality and pay attention to individual differences, but also teach students in accordance with their aptitude and guide them according to the situation, and mobilize the enthusiasm of all students through various ways and methods.
# Personal Summary of Excellent Senior High School Mathematics Teachers (Chapter IV) #
When I look at the flowers, the next semester of senior three will pass. This semester, I am a math teacher in Class X, Senior Three. The third year of senior high school was tense, and the semester passed quickly. Looking back on the work of senior three in the next semester, I mainly summarized the teaching work of this semester from the following aspects:
First, prepare lessons.
According to the requirements of curriculum standards, prepare lessons in advance and write lesson plans. When preparing lessons, carefully study the teaching materials and teaching reference materials, learn the outline well, and learn from the teachers in the same group with an open mind. Strive to thoroughly understand the teaching materials and find the key points and difficulties. Actively participate in teaching and research activities organized by the teaching and research section, prepare lessons collectively with the guidance and help of teachers and researchers, listen carefully, remember carefully and understand the spiritual essence. In the review stage, I printed the knowledge framework and key contents of each unit on the test paper, so as to give students a clear review impression and review and browse at any time.
Second, class.
The premise of a good class is to be fully prepared before class, and not to fight unprepared battles. Listen carefully in class, strive to grasp the key points, break through the difficulties, and be precise and concise. Use a variety of teaching methods, proceed from students' reality, pay attention to arouse students' enthusiasm and creative thinking, and let students draw inferences from one another. Pay attention to face-to-face counseling for students with learning difficulties when patrolling the table, and take notes in time after class to find out the shortcomings.
Third, consultation.
I use my spare time to tutor students, patiently explain what I don't understand, teach them good memory methods and good study habits, consolidate and review what I have learned, and check for leaks in time.
Fourth, homework
Because of the heavy academic burden in senior three, I only assign a proper amount of homework, make good use of the planned study plan, and always choose the homework carefully, leaving some homework that is conducive to the development of students' ability and give full play to their initiative and creativity.
5. Love is understanding.
Usually, we should pay more attention to students' life and study, and secondly, we should respect students' personality, understand students' demands and ideas from the psychological development characteristics of teenagers, and understand their innocence; Trust students to believe in their potential abilities. Only in this way can we close the psychological distance between students and teachers and have a sense of dependence on teachers.
Six, personal learning
Actively learn various educational theories to enrich themselves, so as to better carry out education and teaching work under the guidance of solid theories.
The above is my summary of the next semester's work in senior three. I will continue to work hard and strive for greater achievements in the future.
# Personal Summary of Excellent Senior High School Mathematics Teachers (Chapter 5) #
This semester, I studied hard, strictly demanded myself from all aspects, actively consulted the old teachers, and worked diligently and conscientiously in combination with the actual situation of our school and students, so that the teaching work was carried out in a planned, organized and step-by-step manner. In order to make greater progress in the future work, this semester's teaching work is summarized, hoping to carry forward the advantages, overcome the disadvantages, sum up the experimental lessons, carry forward the past, and make the teaching work to a higher level. The summary is as follows:
First, strive to improve the quality of the classroom and pursue the maximization of review benefits.
65438+
2. Accurately locate the review difficulties and improve the pertinence of classroom review. We regard critical students as the main object of college entrance examination review, and design classroom teaching according to critical students' knowledge structure and ability level, instead of unilaterally pursuing "high, difficult and sharp", and gradually improve the ability requirements, highlight key points and break through difficulties on the premise of laying a solid foundation.
3. Constantly optimize the classroom structure to promote the effectiveness of classroom quality. First of all, according to the characteristics of the review class, the review ideas are clarified, and a "four-in-one" classroom model for the second round of review is constructed: ability training+test paper evaluation+sorting and digestion+error correction and consolidation. On the basis of a round of review, ability training can find the defects of students' test sites and carry out targeted intensive training; The evaluation of examination papers should be based on the statistics of error rate and the analysis of error reasons, and the evaluation object should be clearly the outstanding students of the whole railway. The measure of evaluation effect is to see whether the excellent students of Transit really understand it; First, arrange and digest to ensure the time for digestion in each subject; The problem of high error rate is trained in the form of deformation for a certain period of time, which is reflected in the weekly training.
Second, let students do the questions well and give full play to the maximum function of training.
1, implement the "ashore" system to improve the quality of practice. "Go into the water" is to "go ashore", and the teacher does the problem to choose the topic. To this end, I first gave the students the topic and strengthened the work of selecting the topic. The exercise materials are not copied from the ready-made materials, and the topics throughout the year are discussed collectively by the preparation group. It is necessary to transform it first and then use it, and strive to choose the topic accurately and conform to the academic situation.
2. Effectively monitor the training process to ensure the effectiveness of the training. Pay special attention to the training plan and determine the weekly training plan. Do a detailed statistical analysis, especially for key students. Guide students to correct their own mistakes and conduct regular error correction training. In addition, for the examination, we should strictly follow the examination process, pay close attention to the examination discipline, pay attention to the adjustment of examination psychology, standardize the guidance of answering questions and the cultivation of examination skills, and strive to eliminate the loss of non-intellectual factors. Do a good job in the quality analysis of each exam in time, so that the analysis results can guide the review work quickly and directly.
3, strengthen the basic level, the implementation of grading promotion. In view of the relatively weak foundation of students, the basic questions clearance method is implemented. Under the premise of solid foundation, the experimental class appropriately increases the training difficulty, and at the same time, the graded training of compulsory questions and multiple-choice questions is implemented. This measure has achieved good results in improving students' grades.
There are still many things I haven't done enough. I will keep a modest and prudent style, guard against arrogance and rashness, keep making progress in my future work, live up to the trust of leaders and parents, and make great achievements in the new year.
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