A summary and reflection on the solving skills of high school mathematics combination problems

The following is a summary and reflection of the first-year mathematics final problem solving method: ** 1. Solution Method ** 1. ** Questions about the concept of before and after ** - For determining the relationship between before and after and counting problems based on this, the concept of numerical order should be clearly emphasized to the students. For example, the students had to understand that the first decimals were in the order of 1,2,3,4,5, and the last decimals were "last." He could strengthen his understanding of this concept by repeatedly setting questions. 2. ** Adding and Subtracting Mixed Operations Question ** - No matter where the parenthesis was, it had to be calculated as a whole. For example, when calculating, one would first determine the overall part, and then calculate the number of the other part according to the result. 3. ** Using mathematical concepts to solve problems (comparison method)** - When solving a problem, one had to compare the meaning and essence of concepts, properties, laws, rules, formulas, terms, and terms according to the meaning of the mathematical problem. They had to rely on the understanding, memory, identification, reproduction, and migration of mathematical knowledge to solve the problem. For example, when dealing with problems such as the sum of continuous natural numbers and the nature of judgment numbers, one had to accurately understand the relevant concepts to solve the problem correctly. 4. ** Problem with queuing ** - There were different ways to solve the queuing problem. - If you want to find the total number of people, when you know the number of people in front of and behind someone, you can use the formula of "Top 10 + 1(self)= total". For example, there are 3 people in front and 5 people behind, and the formula is 3 + 5+1 = 9. When you know the rankings from the front and the back, you can use the formula of "Top + Back- 1(repeated self)= total". For example, the 4th from the front and the 6th from the back, and the formula is 4+6 - 1 = 9. - If it was to find the number of people between two people, use the formula of "find between, subtract two numbers and then subtract 1". For example, if Xiao Yu was ranked third and Xiao Liang was ranked seventh, the number of people between them would be 7 - 3 - 1 = 3. - If you know the total number of people and the ranking from the front, you can find the ranking from the back by using the formula of "total number-first +1 (repeated number of self)= total". For example, if there are a total of 13 people in the queue, Xiao Dong is ranked fifth from the front, and 13 - 5+1 = 9 from the back. 5. ** Cultivating students 'ability to solve problems ** - In the first grade, students should focus on cultivating their listening and verbal skills so that they could clearly express their understanding of mathematical problems. By the second and third grades, they should focus on cultivating their thinking and written expression skills. At the same time, parents should guide their children to read the requirements of the questions clearly, let the children think independently, and cultivate the habit of asking questions if they don't understand. ** 2. Reflection ** 1. ** Thinking expansion ** - The most important thing in mathematics learning was to expand their thinking. In daily training, students should be exposed to different types of practice questions. This would help students master a variety of question types and be able to flexibly use knowledge to solve questions in the exam. 2. ** Learning supervision and enthusiasm ** - For first-year students, it was important for parents to supervise their revision. As the students were in the lower grades, if their parents could not supervise their revision well, once they failed the final exam, it might seriously affect the students 'enthusiasm for learning and even affect their subsequent studies. Therefore, during the review stage, parents should pay attention to the summary and review of the key knowledge points and problem solving skills of each unit. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a lesson plan and reflection summary on the way of thinking and skills in high school mathematics: ##1. Teaching Plan ###(1) Teaching objectives 1. It would help students understand and master several important ways of thinking in high school mathematics, such as reflective thinking, logical thinking, etc., to improve their ability to solve problems. 2. He taught them some practical skills in solving mathematical problems, such as the application of Veda's theorem in solving problems. ###(2) Difficulties in Teaching 1. ** Main point ** - Cultivate the students 'mathematical way of thinking, especially the strictness and reflection of thinking. - To let the students master and use mathematical problem solving skills. 2. ** Difficulty ** - Guide the students to consciously use the correct way of thinking in the process of solving the problem, and avoid thinking wrongly, such as circular reasoning. - It allows students to flexibly choose appropriate solution techniques to solve different types of mathematical problems. ###(3) Teaching Method Teaching method, case analysis method, group discussion method. ###(4) Teaching process 1. ** import (5 minutes)** - By presenting a simple mathematical problem, such as solving an equation, the students could share their ideas to solve the problem, thus leading to the importance of mathematical thinking. 2. ** Explanation of mathematical thinking (15 minutes)** - ** Reflective Thinking ** - He emphasized that in the process of solving problems, he should be good at checking whether the ideas were correct and not blindly follow the existing solutions. For example, when using formulas, one had to be clear about the source and scope of application of the formula to avoid circular reasoning. For example, in the application of the basic relationship of the same-angle trigonometer function, if one used the conclusion to derive the premise, it would be a wrong circular argument. This required students to be familiar with the content of each formula, law, and theorem they learned, as well as the proof method and evidence. - Cultivate the habit of checking. When solving problems such as irrational equations, irrational discrepancies, log equations, log discrepancies, etc., because the transformation may cause the domain of definition to change, it may cause the root to be added or lost. Therefore, it is necessary to test it. This is also the embodiment of reflective thinking. - ** logical thinking ** - Using mathematical proof as an example, he explained how to start from known conditions and gradually derive conclusions based on axioms and axioms. In the process of solving the problem, the basis of each step must be clear, so that the entire process of solving the problem was logically rigorous. 3. ** Math problem solving skills (20 minutes)** - Using Veda's theorem as an example, he explained the application of a root of a known equation to other unknown quantities. For example, if one of the roots was known and the other root was set as a variable, a set of equations was listed according to the sum of the two roots and the product of the two roots of the Veda theorem. Then, the other conditions in the question (such as the root being a rational number, etc.) were used to solve the equation to get the answer. At the same time, the students with different levels of thinking (top student, genius student, and slacker student) could use different methods to solve the problem and compare the advantages of using the skills. 4. ** Group discussion and practice (15 minutes)** - Students were given a few different types of math problems and asked to discuss the ideas and methods of solving the problems in groups. Then, each group would send a representative to write down the process of solving the problems on the blackboard. The other groups could evaluate and supplement them. The types of questions included equation questions that involved reflective thinking tests, as well as equation questions that could be solved using techniques such as Veda's theorem. 5. ** Wrap-up (5 minutes)** - It summarized the mathematical thinking methods and solving skills taught in this lesson, emphasizing that these thinking methods and skills should be continuously used in mathematics learning in the future to improve mathematics learning ability. ##2. Reflection and summary ###(I) Success 1. Through examples, he explained the way of thinking and techniques to make it easier for the students to understand. For example, using specific equations to solve the application of Veda's theorem, and deepening the understanding of reflective thinking through the error cases of circular reasoning. 2. Group discussions and practice sessions could motivate students and allow them to better grasp knowledge through communication and practice. ###(2) Deficiency 1. When explaining the way of thinking and techniques, some students might still have difficulty understanding them. They should pay more attention to hierarchical teaching and provide targeted guidance to students with different foundations. 2. There were some problems with time control, resulting in the summary section being a little rushed and not being able to fully review the key content of this lesson. ###(3) Enhancement measures 1. In the future, he would understand the students 'basic level in advance and design more targeted teaching content. He could adopt more diverse methods to explain the way of thinking and skills, such as making animations to demonstrate the logic of thinking in the process of solving problems. 2. Arrange the time for each teaching session more reasonably. In the summary session, students could review and summarize themselves first, and then the teacher could supplement and emphasize it to ensure that the key content was fully reviewed. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

Teaching objectives: 1. It allowed the students to learn how to ask questions from a mathematical perspective and be able to solve simple mathematical problems. 2. Cultivate students 'awareness of applied mathematics. 3. To encourage students to actively participate in mathematics learning activities and stimulate their curiosity and thirst for knowledge. [Important point: Able to accurately calculate the abdication of a digit within 20.] [Difficulty: Propose a mathematical problem based on a known condition.] I. Create a problem situation The teacher brought two bunches of golden apples and guided the students to observe and discover the mathematical information within. Then, he encouraged the students to ask mathematical questions based on this information. At the same time, he pointed out to the students that there were many hidden mathematical problems in their daily lives. As long as they were good at observing, they would find that mathematics was everywhere. In this class, they would use mathematics to solve problems. Second, ask questions and feel the existence of mathematical problems in life. 1. Students were encouraged to recall their experiences of asking questions when they encountered something they did not understand in their daily lives. Students were encouraged to try to ask math questions so that they could understand that math was a common problem in their daily lives. 2. Show the topic map and let the students describe what they saw and communicate with their deskmates. After that, the students were guided to ask math questions according to the children's activities in the theme map, including questions related to addition and substitution. Then, they would discuss and report in small groups. III. Problem Solved 1. Show the illustrations and ask the students to describe what they see, such as the activities of small animals. 2. Looking at the picture again, he pointed out the changes in the animals in the picture, such as the fish gathering to look for food and swimming far away. Reflection: 1. In the teaching process, by setting up a situation to guide students to discover mathematical problems, it can increase students 'interest and attention to mathematics. However, some students may have difficulty in asking questions from known conditions, so they need to strengthen guidance and practice in subsequent teaching. 2. The group discussion session could stimulate the students 'thoughts to collide, but there might be situations where individual students' participation was not high. Teachers should pay attention to and encourage these students to actively participate. 3. When guiding students to observe illustrations to solve problems, more attention should be paid to cultivating students 'logical thinking ability, so that students can clearly explain the ideas of solving problems. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

" Junior High School Physics Problems: An Introduction and Reflection " did not mention the author, and it was not a novel with story content. It was probably to summarize and reflect on the physics problems in junior high school. There was no other information such as the role or evaluation. It was just a piece of information about sorting out and reflecting on the physics problems in junior high school. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a summary and reflection on the primary school mathematics lesson: ** I. Basic teaching skills and classroom control ** 1. ** Solid teaching foundation ** - In primary school mathematics teaching, a teacher's basic skills were very important. For example, in some high-quality class evaluation activities, excellent teachers showed strong organizational and control skills in the classroom. They had a high theoretical level. Especially in terms of mathematical language, the teacher's language was concise and concise, which helped to cultivate the students 'rigorous mathematical language expression habits. Moreover, these teachers paid attention to practical results in their lessons. They did not pursue superficial tricks, but from the student's point of view. They understood the student's starting point and taught according to the student's actual situation. 2. ** Enlightenment and Reflection ** - This reminded the majority of primary school mathematics teachers to constantly improve their basic skills, including in-depth understanding of the teaching materials and control of the classroom rhythm. In his own teaching, he should pay attention to using concise and accurate language to guide students, avoiding long and complicated expressions that would confuse students. Moreover, they had to think about the teaching content and methods from the student's point of view. They could not be separated from the student's actual learning situation. ** 2. Students 'emotional attention and knowledge formation ** 1. ** Pay attention to students 'emotions and knowledge formation ** - In the classroom, excellent teachers would let students solve problems independently and encourage students to actively participate in the learning process. For complex problems, the students were guided to explore them by using their mouths, hands, and brains. Every student had the opportunity to think and express their opinions, and truly become the master of learning. Even if the students encountered difficulties, the teachers would patiently enlighten and guide them, reflecting the teaching philosophy of teacher-led and student-centered. However, there were also cases where some teachers gave too much guidance and explained too much. 2. ** Enlightenment and Reflection ** - Teachers should give students more space to think and explore independently and believe in their abilities. For example, when teaching mathematical concepts or solving mathematical problems, students could first try to understand or solve them themselves, and then carry out the necessary guidance and summary. At the same time, they should pay attention to the degree of guidance to avoid excessive guidance, so that students would lose the opportunity to explore independently. ** 3. Group learning ** 1. ** The effectiveness of group cooperation ** - Many teachers pay attention to the effectiveness of group cooperative learning in primary school mathematics teaching. The teacher would ask valuable questions for the group to cooperate and explore. Before the activity, the teacher would make clear the requirements and use teaching aids or learning tools to let the students operate, such as putting, cutting, painting, etc., so that the teaching content could be visualized. During the activity, the teacher would patrol and guide, and after the activity, the group would display and communicate. This could effectively cultivate the students 'hands-on ability. 2. ** Enlightenment and Reflection ** - In daily teaching, teachers should carefully design the content and form of group cooperation to ensure that group cooperation is not just a formality. According to the teaching content, the group cooperation tasks should be arranged reasonably, so that every member of the group could actively participate, and in the process of cooperation, the students 'mathematical thinking ability and cooperative communication ability should be improved. ** 4. Teaching Concept and Purpose ** 1. ** Renew education concepts and clarify education goals ** - Primary school mathematics teachers should update their educational concepts and understand that they should not only teach basic mathematics knowledge and skills, but also pay attention to cultivating students 'thinking ability, spatial concept, stimulate learning interest, establish learning confidence, and carry out moral education. Every class should be viewed from the perspective of cultivating high-quality talents. 2. ** Enlightenment and Reflection ** - In actual teaching, teachers should integrate the goal of educating people into every teaching link. For example, when explaining mathematical examples, he could infiltrate the cultivation of mathematical thinking methods. At the same time, he could use mathematical knowledge to tell stories about mathematicians to encourage students to actively explore and cultivate students 'perseverance in learning. ** 5. Cultivation of learning interest ** 1. ** Maintain and improve interest in learning ** - The interest plays an important role in primary school mathematics learning. Teachers should pay attention to cultivating students 'correct learning motivation and good psychological quality. Through the creation of learning situations, starting from the things that students are familiar with, and other ways to stimulate students 'interest in learning. This was because students were more willing to take the initiative to think and explore when the learning content was close to the actual life of the students. 2. ** Enlightenment and Reflection ** - Teachers should be good at digging out mathematics materials from their daily lives and integrating them into their teaching content. For example, when teaching mathematical operations, he could use daily life scenes such as shopping and changing money as examples to let students feel the practicality of mathematics, thereby increasing their interest in learning. ** 6. Mathematical Thinking Method Penetration ** 1. ** Mathematical thinking methods are not enough ** - In primary school mathematics teaching, the infiltration of mathematical thinking methods was not in place. However, mathematical thinking was the soul of mathematics, and it was of great significance to cultivate students 'abstract thinking ability. 2. ** Enlightenment and Reflection ** - Teachers should consciously permeate mathematical thinking methods in the teaching process. For example, when teaching the four arithmetic operations, he could permeate the function thinking, model thinking, etc., so that students could gradually improve their mathematical thinking ability while learning the basic knowledge. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a summary of the kindergarten monitor's experience in solving problems: ** 1. Education ** 1. ** Preparing lessons and teaching ** - In the teaching process, careful preparation was the key. It was necessary to fully understand the knowledge base, habits, and interests of young children, predict the obstacles they might encounter in learning new knowledge, and prepare countermeasures. This required the class monitor to fully consider the individual differences of the children when designing the teaching content. For example, for children with active and introverted personalities, different guidance methods may be needed to teach the same knowledge. When making teaching tools, we must pay attention to their fun and practicality to attract the attention of children and improve the teaching effect. - During the day's activities, one had to pay attention to the methods of imparting life knowledge and experience. They should start with the daily life of children, such as teaching children how to wash their hands and dress properly, and gradually guide them to solve these small problems in life independently, so as to cultivate their self-care ability and independence. - During the teaching process, we should always pay attention to the learning feedback of the children. Listen to the opinions of the children and adjust the teaching methods or content in time. For children with slow learning progress, targeted coaching should be provided to prevent them from falling behind in the learning process. 2. ** In terms of safety ** - Safety was the top priority of the kindergarten. It was essential to carry out safety education every day. Safety knowledge could be conveyed to children in simple and easy-to-understand ways, such as short stories, Mini games, etc., such as integrating traffic safety, food safety, and other knowledge into the storytelling process, so that children could learn in a relaxed and happy atmosphere. - In the daily management, they had to strengthen the supervision of each link. Whether it was in the classroom, the playground, or the activity room, they had to be present and pay attention to the children's actions at all times to prevent accidents from happening. For example, when organizing outdoor activities for children, they should check the venue and equipment in advance for potential safety risks. Pay close attention to the children's actions during the activity to avoid accidents such as falls and collisions. 3. ** Parental education ** - Establishing a good relationship with parents was an important part of the kindergarten's work. He had to treat every parent sincerely and report to them on the performance of the child in the kindergarten in a timely manner, including the situation of learning, life, and social interaction. This would allow parents to fully understand the condition of their children in the kindergarten, so that they could better cooperate with the kindergarten. - They recorded the contents of the communication with parents in detail. Through these records, they could understand the child's family environment and background, and then develop educational measures that were more suitable for the child. For example, if they learned that a child's family had recently changed, they might need to give the child more care and psychological guidance in the kindergarten. ** II. Achievement and Inadequacies ** 1. ** Achievement ** - During work, seeing the growth and progress of children would bring a great sense of accomplishment. For example, children who were originally introverted became cheerful and lively, and they could actively participate in group activities. Children had obvious improvements in life skills and knowledge learning. These results were an affirmation of the kindergarten monitor's work. 2. ** Not enough ** - There might be some shortcomings in his work. For example, in terms of hygiene management, if it was not done properly, it might affect the healthy growth of young children. His sense of responsibility also needed to be strengthened, and he could not slack off in his work. In terms of dealing with the individual differences of children, there might be a need to further increase attention to ensure that every child could be fully developed in kindergarten. In the future, the class monitor of the kindergarten needed to continue learning and improve his self-cultivation. They actively participated in various activities in the park, learning new educational concepts and methods, and creating new teaching methods. To strengthen the moral education and regular education of children, to work closely with parents to achieve synchronized education in the home, and at the same time, to work together with the teachers to work together for the growth and development of children. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

There were many ways to solve problems in primary school mathematics: 1. ** Practicality **: Children's understanding often comes from the actions of objects. Since mathematics was highly abstract and primary school students lacked perceptual experience, it was helpful for them to gain direct experience through personal operation, which would help them form mathematical concepts and laws. For example, in the mathematics teaching of different grades, such as the understanding of yuan, angle, and fraction in the first grade, the distinction between the concept of circumference and area in the middle grade, and the learning of the concept of quotient and multiple in the senior grade, strengthening practical operations could reduce the difficulty of learning. 2. [Seeking answers from daily life: Elementary math knowledge is closely related to life.] When teaching, he wanted to let the students feel that mathematics was everywhere in life. For example, during the " direction identification " class, a scene of daily life was created and introduced into the new class. After the students obtained new knowledge, they were allowed to use the knowledge to solve the problems related to the direction around them. This would help the students master the knowledge and induce the sense of innovation. 3. ** Problem simplify and finding conditions from the problem **: - ** Experience and understand mathematics in a real-life situation **: For example, from the situation where the teacher's daughter drank milk, she would ask the students to solve mathematical problems based on the data of milk consumption. This would allow the students to experience the process of " asking questions and solving problems ", experience the generation and development of mathematical knowledge, and master basic knowledge and skills. - ** Students are encouraged to think independently, explore independently, and cooperate and communicate **: The teacher guides the students to ask questions, such as "how to find the average", so that the students can discuss the numerical relationship in groups, restore the main position of the students, and connect the process of learning new knowledge through "problem solving". - ** Teaching content comes from daily life **: The classroom uses data and questions from daily life, such as average score, average height, water consumption per season, etc., to make students feel that mathematics is right beside them. 4. ** Drawing strategy **: When solving the problem, draw a diagram related to the meaning of the question, such as a line diagram, a set diagram, etc., and convert the text into a diagram to clear the train of thought. For example, when solving the problem of the number of students in the class participating in the group, you can draw a set diagram to help you think. 5. ** Transformation Strategy **: Transform a complex or unfamiliar problem into a familiar and simple problem through a certain method. 6. ** List Strategy **: Presents relevant information in the form of a list, which is convenient for sorting out relationships and analyzing problems. 7. ** Enumeration Strategy **: List all possible scenarios to solve the problem. 8. ** Substitution Strategy **: Substitute one quantity for another to simplify the problem. 9. ** Backward Inference Strategy **: Starting from the result of the problem, gradually reverse reasoning to find the initial conditions or solution ideas. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a reflection and summary of the pre-job training for high school mathematics teachers: ** Reflection and summary of pre-job training for high school mathematics teachers ** After participating in the pre-job training for high school mathematics teachers, I had a deep reflection and summarized the following contents. ** 1. Knowledge and teaching content ** 1. A new understanding of teaching materials - Through the training, I gained a deep understanding of the structure and logical system of the content of the first-year mathematics textbook. In the past, I might have only looked at each knowledge point in isolation, but now I realize that each chapter and each knowledge point are closely related. For example, the content of the function section went from the concept of functions to the properties of functions, and then to the learning of various functions (such as linear functions, second-order functions, etc.). It was a gradual and in-depth process. This systematic understanding will help me guide students to build a complete knowledge network in future teaching. - He also had a better grasp of the important and difficult points in the teaching materials. For example, the training of spatial imagination in solid geometry is the most difficult part for students. During the training, I learned some effective teaching methods to break through this difficulty, such as using physical models, multi-media animation and other means to help students change from two-dimensional thinking to spatial thinking. 2. Connecting with the requirements of the college entrance examination - He had clarified the relationship between the mathematics content of Grade One and the requirements of the college entrance examination. Knowing which knowledge points were the key test content of the college entrance examination, they needed to focus on cultivating the relevant abilities of the students in the first year of high school. For example, the general term formula and the sum formula in the sequence part often appeared in various types of questions in the college entrance examination. Therefore, in the first year of high school, not only should the students master the basic formula calculation, but they should also pay attention to cultivating their thinking ability to solve the comprehensive problem of the sequence. - At the same time, he also understood the requirements of the college entrance examination for the depth and breadth of first-year mathematics knowledge. He knew that in the teaching process, he had to grasp the scale of the teaching. He could not expand too much and increase the unnecessary burden on the students, nor could he be limited to the superficial knowledge of the teaching materials, causing the students to have difficulty in their subsequent studies. ** 2. Teaching methods and strategies ** 1. The importance of diverse teaching methods - Realizing that a single teaching method could not meet the learning needs of different students. Although traditional lecture-style teaching could effectively transfer knowledge, it had limited stimulation for students 'initiative and creativity. During the training, I was exposed to a variety of teaching methods, such as group cooperative learning method, question-driven teaching method, etc. The group cooperative learning method could promote the communication and cooperation between students, and cultivate their teamwork and independent inquiry ability. For example, when learning about the monotonicity of functions, students could be grouped and asked to explore the relationship between the trend of the function graph and the monotonicity of the function through cooperation. - The question-driven teaching method could stimulate the students 'thinking. The teacher set up a series of layered questions to guide the students to gradually think deeply about the mathematical problems. For example, when explaining the concept of sets, one could first bring up some examples from life, such as the boys 'and girls' sets in the class. Then, they could guide the students to think about the definition of sets, the characteristics of elements, and other issues, so that the students could master the knowledge in the process of solving the problem. 2. The implementation of teaching students according to their aptitude - They understood that there were differences between students and that they needed to teach according to their aptitude. Some students had a good foundation in mathematics and had a strong ability to accept new knowledge. They could be provided with some expansive learning tasks, such as knowledge related to mathematics competitions or deeper mathematical research topics. As for students with a weak foundation in mathematics, they needed to pay more attention to their mastery of basic knowledge and give them more tutoring and practice opportunities. For example, in terms of homework assignment, homework could be arranged in different levels so that students of different levels could receive effective training within their own abilities. ** 3. Self-accomplishment and professional development ** 1. The necessity of continuous learning - As a mathematics teacher, he knew that mathematics knowledge was updated quickly. In order to better impart knowledge, he had to maintain a continuous learning attitude. I was exposed to some new mathematical research results and teaching concepts during the training, which made me realize that I couldn't just be satisfied with my existing knowledge. He had to constantly learn new mathematical theories and pay attention to the cutting-edge developments in the field of mathematics education, such as the emerging mathematics education technology and the interpretation of the new mathematics curriculum standards. - At the same time, he also had to constantly improve his mathematical problem solving ability. Only by having a solid foundation in solving problems could he better guide students to solve various mathematical problems in teaching and provide students with a variety of solutions and methods. 2. The responsibility and mission of the teaching profession - He deeply understood the great responsibility of being a teacher. The first year of high school is the beginning of high school mathematics learning. Our teaching quality and teaching methods will have a profound impact on students 'interest in mathematics learning and learning habits. Not only should we impart mathematical knowledge, but we should also cultivate students 'mathematical thinking ability, logical reasoning ability, and innovative ability, so as to lay a solid mathematical foundation for their future development. This requires us to set an example in our daily teaching, be rigorous in our studies, and use our professionalism and professionalism to inspire students to love mathematics. Through this pre-job training, I have gained a lot in terms of knowledge, teaching methods, and self-cultivation. These gains will have a positive guiding effect on my future high school mathematics teaching work. I will integrate what I have learned from training into my teaching practice, constantly explore and create, and strive to become an excellent first-year math teacher. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The summary and reflection of the online school mathematics tutor could be carried out from many aspects such as teaching methods, students 'learning situation, teaching results, and so on. ** 1. Teaching methods ** 1. ** The importance of connecting knowledge ** - In high school mathematics teaching, we must pay attention to the connection between old and new knowledge. For example, when explaining the content of the one-variable cubic function, for the problem of solving the maximum value of the function with parameters in high school, he should first review the basic knowledge of solving the maximum value of the one-variable cubic function without parameters in junior high school. Starting from the simple non-parameter-free function solution, they gradually transitioned to complex questions with parameters and interval changes. This would allow students to better understand new knowledge and avoid gaps in knowledge. 2. ** Teaching strategy adjustment ** - For students of different levels, such as the top students of Grade One, the ordinary students of Grade Two, and the students preparing for Grade Three, different teaching strategies needed to be formulated. For the top students of Grade One, they should pay attention to the setting of the curriculum system and the optimization of the teaching content; for the students of Grade Two, they should carry out a special summary of the geometry curriculum to cultivate the students 'geometric thinking ability; for the students of Grade Three, they should adjust the teaching focus according to the requirements of the middle school examination to help the students better cope with the examination. 3. ** New teaching methods ** - Using modern technology to carry out teaching, such as building science and technology classrooms, using the geometric sketchpad, online microclasses, etc. These methods could make abstract mathematical knowledge more intuitive to the students and improve their interest in learning and understanding. - Try different teaching models, such as the application of teaching theories such as class differences, effective classroom error correction, and innovative classroom. The same class with different structures could allow teachers to examine the teaching content from different angles and find the most suitable teaching method for students; effective classroom error correction could correct students 'wrong concepts in time and improve learning efficiency; innovative classrooms could help stimulate students' enthusiasm for learning. ** 2. Students 'learning situation ** 1. ** The solution to the mental disorder ** - High school mathematics focused on logical thinking, and students might encounter thinking obstacles. Teachers needed to analyze the difficulties of students 'thinking in the learning process. For example, when solving high school mathematics thinking obstacles, they had to recognize that different students had different understanding and acceptance of knowledge. Some students had difficulties in the process of changing from junior high school mathematical thinking to senior high school mathematical thinking. Teachers should guide them according to these situations, such as helping students establish a logical thinking system through specific examples and detailed steps to solve problems. 2. ** The learning demands of students at different levels ** - Children of different grades and levels had different demands for tuition. For students with weak foundations, they might need to consolidate their basic knowledge, while for students with better grades, they needed to expand the depth and breadth of their knowledge and improve their problem solving skills and thinking ability. Teachers had to adjust the teaching content and progress according to the actual situation of the students to meet the learning needs of different students. ** 3. Teaching Achievement ** 1. ** Teaching ability improved ** - In the process of teaching, the teacher's own teaching ability was also constantly developing. For example, from the beginning, he was not confident in the teaching of the second grade mathematics class to gradually undertake more teaching tasks, such as teaching three grades and six classes. Through continuous exploration, learning, and practice, there would be a certain growth in teaching content, teaching methods, and so on. - In the process of training new teachers, teachers would constantly reflect on their own teaching methods. When trying to impart teaching experience to new teachers, they would think more deeply about whether their teaching concepts and methods were reasonable, thus promoting their own teaching ability to further improve. 2. ** Impact on students 'grades and abilities ** - Through effective teaching, students should be able to master mathematical knowledge and improve their mathematical thinking ability. For example, after the systematic teaching of the one-variable cubic function, the students should be able to master the minimum and maximum value solution methods of various types of one-variable cubic functions, and they should be able to use the knowledge they have learned to perform logical reasoning and calculations when solving related mathematical problems. At the same time, for the teaching of geometry in the second year of junior high school, the students 'geometric thinking ability should be cultivated and they should be able to solve some geometric problems independently. Online school math tutors should constantly summarize their teaching experience and reflect on their teaching methods and students 'learning situation to improve the quality of teaching and students' learning effects. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following are some elementary school math problem solving techniques: 1. Drawing Strategy: Translate the words of a difficult problem into a picture. It can quickly sort out your thoughts and find a solution. In the process of solving a problem, by drawing a diagram related to the meaning of the problem, the diagram was used to help reasoning and thinking. This was especially common when solving problems such as geometry, proportions, or scores. 2. ** Transformation Strategy **: Transform a complex problem into a simple problem, and turn an unknown problem into a known problem. This is one of the common methods used to solve problems in primary school mathematics. 3. ** List Strategy (Enumeration Strategy)**: List the condition information of the problem in the form of a table. This makes it easy to find the problem and analyze the quantitative relationship, thereby eliminating the interference of non-mathematical information. At the same time, it also helps to find a solution to the problem. When using it, one must pay attention to not repeating or missing anything. 4. ** Enumeration Strategy **: When solving some special problems that cannot be calculated, it can list all possible situations of the research object, so that the problem can be solved more easily. When listing, you have to think in an orderly manner to ensure that you don't miss anything. 5. ** Substitution Strategy **: Used to solve the problem of the relationship between several quantities and the total quantity. By using this strategy, the relationship between two quantities could be simplified into one, which would help to solve the problem. 6. ** Comparing Method **: According to the meaning of the mathematics question, compare the meaning and essence of concepts, properties, laws, rules, formulas, terms, and terms. Relying on the understanding, memory, recognition, reproduction, and transfer of mathematical knowledge to solve the question. This would help train the child to have a correct understanding of mathematics knowledge, a firm memory, and accurate identification. 7. ** Comparisons **: By comparing the similarities and differences of mathematical conditions and problems, you can study the reasons for the similarities and differences and find a solution to the problem. When using it, you need to pay attention to the completeness of the comparison, find the connection and difference, compare under the same relationship, and grasp the main content to compare carefully. 8. Formula Method: Use laws, formulas, rules, and rules to solve problems, reflecting deductive thinking from the general to the special. However, it was necessary to ensure that the child had a correct and profound understanding of formulas, laws, rules, and rules, and could use them accurately. 9. ** Analysis Method **: To break down the whole into parts, to break down complex things into various parts or elements, and to study and derive these parts or elements. The idea was to start from the problem to be solved, choose the two conditions needed correctly, and deduce them one by one until the problem was solved, which was "tracing the cause from the effect." 10. ** Holistic approach **: For some calculations, when a certain part cannot be calculated directly, this part can be regarded as a whole and solved step by step. For example, when solving an equation, if there were multiple calculation steps on one side of the equal sign and a certain part could not be calculated, one could first treat this part as a whole to solve it. 11. ** Using Aptitudes **: When you encounter complex calculation problems, you can use approximate numbers to help with quick calculations. 12. ** logical reasoning method **: When solving some reasoning or logic questions, use logical reasoning to get the correct answer. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>