mathematics analysis class 12

The following is an analysis, lesson plan, and reflection on the relatively rough teaching of mathematics in the middle class: ##1. Teaching Analysis 1. ** Teaching goal ** - "Awareness goal: Let the child learn to compare the thickness of objects and correctly express the comparison results; be able to order objects from thin to thick or from thick to thin, knowing that thickness is relative. - [Ability objective: Cultivate children's observation, judgment, and hands-on operation skills.] - Emotional goal: to arouse the interest of children in learning the concept of thickness, to experience the joy of collective mathematics games, and to let children understand simple mathematical principles. 2. ** Teaching Difficulties ** - [Important points: Distinguish the thickness of an object and learn the correct method to compare the thickness of an object.] - [Difficulty: Understand the relativity of thickness, stimulate the interest of the child in the thickness of the object, and let the child actively participate in the expression.] ##2. Teaching Plan ###(1) Event preparation 1. ** Experience preparation **: The child has acquired the relevant knowledge to recognize thickness. 2. ** Material preparation ** - There were a number of Wangzai denim cans of different thickness, straws, building blocks, sausages, markers, candles, and so on. - Courseware Ppt; Children operation materials, such as a number of colored cylinder. ###(2) Activity process 1. ** Exploring and discovering thickness ** - ** Play around, find the thickness ** - The teacher provided a variety of materials, such as Wangzai denim cans of different thickness, straws, etc., so that the children could freely choose the materials to look at, touch, and communicate with the children next to them. - ** Discussion and Exchange ** - Guide the child to share the differences and ways of discovery during the play. The teacher concluded that one could judge the thickness by looking at it with their eyes, inserting it with their hands, folding it, and comparing it. 2. ** Comparing to determine thickness ** - ** Comparing the thickness of an object, knowing that thickness is relative ** - First, show the red and green building blocks of different thickness to compare, guide the child to think about whether the red building block is thick or thin, and then compare it with the green building block. Next, he showed the blue building blocks and the green building blocks to compare, causing the children to discuss why the same red building block had different results when compared with different building blocks, so as to understand the relativity of thickness. - Comparing the thickness of three objects (such as three building blocks) to find the thickest and thinnest. 3. ** Sorted by thickness ** - ** Teacher's demonstration ** - [Comparing objects, initial perception of thickness: Show two cylindrical objects of different thickness, let the child feel and compare them personally.] - The teacher showed five red cylinders and sorted them by thickness. They would first arrange them messily and let the children find the largest (thickest) one by visual inspection, then find the largest (thickest) one from the rest until the last one, and then sort them from thick to thin or thin to thick. - ** Child Operation ** - Show the children five red cylinders and let them freely choose to arrange them from thick to thin or from thin to thick. Ask each child to tell them their order. ###(3) Ending the event 1. He packed up his learning tools. 2. Arrange homework and let the children go home to let their parents sort them by thickness. 3. Shiyou said goodbye. ##3. Reflection on Teaching 1. ** Strengths ** - The teaching activities allowed children to perceive thickness in a variety of ways. For example, providing rich materials for children to explore freely, comparing the thickness of two objects, sorting the thickness of multiple objects, etc., helped children fully understand the concept of thickness. - The activity focused on the child's operational experience. Whether it was in the exploration and discovery stage or the sorting operation stage, it gave the child enough opportunities to practice. 2. ** Inadequacies and improvement measures ** - ** Less objects compared ** - In the thicker links, more different types and numbers of objects could be added to enrich the child's cognition. For example, he could add ropes of different thickness, branches, and other natural materials. - ** Unable to fully stimulate children's interest, too much teacher-led ** - During the activity, more forms such as group discussions and group competitions could be used to stimulate children's interest and enthusiasm, so that children could participate more in the expression. For example, when comparing the thickness of an object, the children could be divided into groups to discuss and send representatives to speak. - ** The game segment is shorter ** - The time of the game segment could be appropriately extended. For example, in the game of "Hugging a big tree," it could be carried out for a few more rounds to allow more children to participate and strengthen the understanding of the concept of thickness during the game. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following are some examples of a large mathematics public lecture: 1. ** Regarding the understanding of numbers ** - You can set up activities to let children find the numbers in their lives, stimulate their interest in numbers, and improve their ability to express the direction of numbers. For example, through conversation, the child could talk about the numbers he found yesterday and the function of these numbers. - In the teaching of the division and combination of numbers, such as the content of "the division of 10", the goal of the activity could be to explore the division and combination of 10, understand its different composition and decomposition relationship, further perceive the order of the division and combination of numbers, and cultivate scientific inquiry awareness. During the teaching process, the children could be guided to perform the operation of dividing and combining numbers through stories and other situations. For example, the children could help find the cow and then divide the cow, so as to learn the division and combination of 10, which could be expressed with simple formulas. At the same time, the children could feel the convenience and interest of the multi-media in the cooperation and communication. 2. ** Understanding RMB ** - In the public class with the theme of "Understanding RMB", the teacher could show the different face values of RMB and ask the children which face values they knew. From the perspective of food, clothing, housing and transportation, they could not do without RMB, so that the children could understand the importance of RMB in their lives. 3. ** Diagram and Space ** - In the three-dimensional figure recognition teaching, for example, to recognize the cube, cuboid, cylinder, sphere and other basic three-dimensional figures. The teaching goal included allowing students to recognize and differentiate these three-dimensional shapes and grasp their basic characteristics. Through observation, practice, and thinking, the students 'spatial imagination and logical thinking ability were cultivated. During the teaching process, physical models such as cubes, cuboids, cylinders, spheres, and other three-dimensional graphic models could be used to let the children learn the characteristics of various shapes through various links such as talking, dividing, recognizing, and playing. They could correct their vague understanding and connect them with life. 4. ** In terms of pattern exploration ** - In public classes such as Gem Forest, teachers could let children explore different arrangement rules through the forest game, such as the repetition, increment, and arrangement of objects from both sides to the middle, to stimulate children's interest in math games. - In terms of graphic combinations, teachers could create scenarios to allow children to spontaneously imagine the changes in the graphics, further consolidating the concept of statistics, bringing into play children's imagination and creativity, and making the game run through the entire activity process. The novel " Hundred Years of Spaceship " is equally exciting. Everyone is welcome to click and read it!

The following are some examples of teaching plans for large classes: ** 1. Seven Flowers lesson plan ** 1. ** Teaching goal ** - Learn the different composition methods of 7, develop observation and logical thinking skills. - Learning the addition of 7 and trying to make up addition questions. - Able to express completely and accurately. Cultivates children's language ability to summarize, and at the same time, cultivates children's comparison and judgment as well as logical thinking ability. 2. ** Teaching Difficulties ** - ** Main point ** - Look at the picture to learn the addition of 7. - He knew the structure of the addition problem and understood the meaning of the formula. - [Difficulty: Able to describe different pictures and list the corresponding calculations.] 3. ** Teaching preparation ** - A book for young children,"A Ladybug Looking for Friends." - One picture of the garden (including seven flowers of different colors, types, sizes, etc.), a number of paper and pens, a number of addition formulas for seven, a butterfly and flower chest ornament, and background music. 4. ** Teaching process ** - ** Review the addition of 7 **: Through a simple review, let the child have a preliminary impression of the addition of 7. - ** Guide the child to observe the picture **: Use a question, such as "What season is this? Are all these beautiful flowers the same?" Guide the child to observe the different characteristics of the flower. - ** Diagram List ** - He counted the total number of flowers in the garden. - The child tried to make up an addition question based on the characteristics of the flower and explain the meaning of the question, such as "2 + 5 = 7 (2 flowers have leaves, 5 flowers have no leaves)". At the same time, the child was guided to understand the situation where the result of the exchange addition was unchanged. - ** Use your brain ** - The teacher discussed whether the meaning of several questions of "1+6 = 7" was the same. Finally, the teacher summarized the situation where the seven flowers in the garden had different questions but the answers were the same. - [Baby Manipulation]: Manipulate the baby book "Ladybug Looking for Friends". - ** Game: Butterfly Looking for Flowers ** - The rules of the game: The flowers and butterflies have numbers on them. When the music ends, the sum of the numbers of the flowers and butterflies will be 7. - The child chose a character to play the game and switched characters to play again. ** 2."10 Divided" lesson plan ** 1. ** Teaching goal ** - Exploring the separation and combination of 10, understanding its different composition and decomposition relationship, further perceiving the order of number separation and combination, and cultivating scientific inquiry consciousness. - Use 10 points of knowledge to solve the problems in the activity, experience the joy of success, and be able to express it with simple formulas. - Happy to cooperate and exchange experiences with peers, and enjoy the convenience and fun of multi-media. 2. ** Teaching Difficulties ** - [Important points: Perceive the relationship between the whole and the parts. Learn and record the various ways to divide the 10 parts into two parts.] - [Difficulty: summarize the rules of the decomposition and composition of numbers within 10.] 3. ** Teaching preparation **: Including PowerPoint, lesson plan, complete classroom recording video, music, and teaching materials. 4. ** Teaching process ** - Through the introduction of stories, such as the story of Dumby herding the cow, the children were guided to understand the relationship between quantity. For example, if Dumby's father gave him five cows, and some of them were in different places, he would ask the child to count the number of cows, which would lead to questions related to the separation and integration of 10. - In the infant operation part, the infant was asked to drag the picture of the cow to different grasslands to separate and combine, and record it down, such as "1 and 9","2 and 8" and other different methods. - Guide children to explore different ways of dividing and combining 10, encourage children to actively try and express. ** 3."Understanding" 0 "lesson plan ** 1. ** Teaching goal ** - Understand and understand that "nothing" can be represented by "0", and that "0" can also represent "starting point","boundary", etc., to explore the role of "0" in life. - Guide children to actively participate in mathematics activities and stimulate their curiosity and thirst for knowledge. - Cultivate children's observation, thinking, and operational skills. 2. ** Teaching Difficulties ** - ** Important point **: Let the child understand the various meanings of "0". - [Difficulties: Guide the child to explore the various functions of the "0" in life.] 3. ** Teaching preparation ** - Coursework: Picture. - Teaching aids and tools: 3 jars (with coins and pictures inside), 4 sets of cards with numbers 0 - 6, ruler, telephone, house number, license plate number, telephone number, calculator, mobile phone model, thermometer, stopwatch, weight machine, electric fan, small hook scale, pictures and real objects, etc. 4. ** Teaching process ** - Revise the clapping song in the form of a game and introduce the teaching content. - Through the demonstration of teaching materials and physical teaching aids, such as the "0" on the ruler represents the starting point, so that children can understand the different meanings of "0". - Let the children observe the objects in their lives, such as the "0" on the telephone, explore the role of "0" in life, and guide the children to actively participate in the discussion and express their findings. ** IV."The breakdown and composition of 4" lesson plan ** 1. ** Teaching goal ** - On the basis of physical operation, understand the decomposition and combination of 4. - Elementary learning to divide and combine a number in order, guiding the child to conclude that the two sides of the number sequence in the division and combination are increasing and decreasing respectively. 2. ** Teaching Difficulties ** - [Important point: Let the children learn the breakdown and composition of 4.] - [Difficulty: Guide the child to conclude the relationship between the two numbers in the split-combination formula.] 3. ** Teaching preparation ** - Each child had four small fish, two fish tanks, one number 1, 2, and 3 cards, a math exercise book, and a paper note with a number on it. 4. ** Teaching process ** - ** Beginning Part **: Review the breakdown and composition of 3. Deepen the child's memory of the breakdown and composition of 3 through questions and interaction games. - ** Description of the problem situation **: Use the situation of the little rabbit dividing the fish to arouse the interest of the child in the decomposition and combination of 4. - ** Solve the problem ** - The teacher asked the children to try to divide the four fish into two tanks and record the method of division. - After the children's operation, some of the children were asked to describe their own scoring methods and record them on the blackboard. They were asked to choose the scoring methods according to the order and the non-order to display. - ** Find a problem and learn to divide and combine a number in an orderly manner ** - Guide the children to observe and discuss which method is better, and come to the conclusion that the number of points increases on one side, while the number of points on the other side decreases and the total number remains unchanged. - The child practiced the operation of opening and closing in order. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is an example of a thesis on home mathematics education in kindergarten: ** Title: The importance, current situation, and strategies of mathematics education in kindergarten families ** ** abstract **: This thesis is to explore the problems related to mathematics education in kindergarten families. First, it elaborated the importance of home mathematics education in kindergarten. Then, it analyzed the current situation of home mathematics education, including the misunderstandings of parents. Finally, it proposed strategies to improve the effect of home mathematics education in kindergarten. ** I. Introduction ** Mathematics education was an indispensable part of a child's growth and development. The kindergarten stage was a critical period for children's cognitive development. The family was an important environment for children's growth, and mathematics education had a profound impact on the initial formation of children's mathematical literacy. ** 2. The importance of mathematics education in kindergarten families ** (I) The needs of children's cognitive development There were a lot of opportunities for children to learn mathematics in their family life before formal school education. These daily mathematical experiences were an important path for children's cognitive development. For example, when a child helped to set up the bowls and chopsticks during meals, he was practicing one-to-one correspondence. Building blocks in the game involved concepts such as shape and proportion. The mathematical experience in these daily activities was crucial to the development of a child's logical thinking ability. (II) Complementarity with kindergarten education Parents 'support was indispensable for the transformation of kindergarten teachers' educational philosophy into educational behavior. Home mathematics education and kindergarten mathematics education complemented each other. The kindergarten could provide a systematic framework for mathematics education, while the home mathematics education could be based on daily life situations, allowing children to better understand mathematics concepts in a familiar environment and strengthen the content of the kindergarten. ** 3. Current situation of mathematics education in kindergarten families ** (I) Parents 'Misunderstanding 1. Many parents believed that mathematics education was the primary task of the kindergarten, and they only needed to cooperate passively. The survey showed that although most parents attached great importance to early childhood mathematics education, about 87% of parents said that early childhood mathematics education was a matter of kindergarten, and the reasons included busy work and not understanding early childhood mathematics education. 2. Some parents narrowly understood mathematics as "arithmetic" and paid too much attention to children's grasp of numbers, calculation speed, and digits. They ignored the development of children's process ability in mathematics learning, such as classification, sorting, judgment, reasoning, and other logical thinking abilities. (2) lack of effective guidance Parents often lacked the sensitivity to children's mathematics experience in their family life and could not make full use of the mathematics learning opportunities in their lives. For example, when children participated in cutting fruits and discussed how to share, the concept of average and quantity was involved, but parents might not realize that this was a good opportunity for mathematics education, thus missing the opportunity to expand children's mathematics experience. ** IV. Strategy to improve the effectiveness of mathematics education in kindergarten families ** (I) Correct understanding of the content of early childhood mathematics education Parents should follow the Guide to Learning and Development for Children Aged 3 - 6 and realize that the development of children's mathematical experience is not only the mastery of arithmetic knowledge, but more importantly, the development of process ability, such as the development of logical thinking ability in exploring natural things and solving real-life problems. (II) Changing the role of parents Parents should be changed from "bystanders" to "supporters, sponsors, and companions" in children's mathematics learning. In daily life, there was no need to design specialized mathematics courses like professional teachers. Instead, they actively participated in the daily exploration of mathematics by children. For example, he could guide the child to pay attention to the mathematical elements in life, such as comparing the height of the family with the child, sorting the items in the house, and so on. (3) Using life materials to carry out mathematics education There were many materials in life that could be used for mathematics education, such as poker cards. Parents could use playing cards to carry out mathematical enlightenment activities that corresponded to numbers and quantities, so that children could experience the fun of mathematics in a relaxed and happy atmosphere. ** 5. conclusion ** The mathematics education in the kindergarten family played an irreplaceable role in the development of children's mathematics attainment. Although there were some problems at present, through the change of parents 'ideas and the implementation of correct strategies, the quality of home mathematics education could be improved, laying a solid foundation for children's future mathematics learning. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a summary of the analysis report and reflection on the primary school mathematics observation class: ** I. Achievement of teaching objectives ** 1. ** Knowledge and Skills ** - In the teaching of observing objects in the lower grades, such as the second grade, the focus was to let the students understand that the shapes of objects observed from different positions were different, and to be able to identify the shapes of objects observed from different angles. Most students could master this basic skill. Through various physical observations (such as toy cars, etc.) and corresponding classroom exercises (such as connecting lines, judging figures from different angles, etc.), students had a preliminary understanding of this concept. However, as the grade increased, some students had difficulty restoring the geometry from different angles, like in the second semester of the fifth grade. For example, when only the front figure was given, some students did not have a broad enough idea when they put together the small cube learning tools and would miss some placement methods. This indicated that their ability to determine the geometry from the view needed to be improved. In the fourth grade, students were required to be able to identify a set of three-dimensional shapes from different directions (front, top, and side) and imagine how to place objects based on the shapes they saw. From a practical point of view, it was difficult for some students to understand the knowledge point that when observing a group of four cubes of different shapes from the same angle, the planar figures they saw might be the same or different, especially when they imagined the various ways of placing objects according to the shapes they saw. 2. ** In terms of process and method ** - In the teaching process, by allowing students to personally participate in observation activities, such as observing from the original position to the perspective of the object and then observing the object comprehensively, they experienced the process of observing from static to dynamic, from partial to comprehensive in different grades. In group cooperative learning, for example, when building a geometric combination according to the view, the students went through the process of "researching the view-conceiving the layout-putting the object-observing and verifying", which helped to train their spatial imagination, thinking ability, and cooperative awareness. However, in practice, group cooperation was sometimes inefficient. Some students did not participate enough and relied on other students in the discussion and operation. 3. ** Emotional attitude and values ** - In the classroom, through the introduction of stories (such as "The Blind Feeling the Elephant"), game methods (such as letting students observe objects in the game situation), etc., it can stimulate students 'interest in learning and make them actively participate in the study of observing objects. Most of the students showed curiosity and desire to explore this part of the content. They rushed to speak in class and perform on stage. However, there were also a few students who showed fear in the learning process due to their weak foundation or difficulty in understanding the concept of space. ** 2. Teaching Method and Strategy ** 1. ** Strengths ** - Many teachers used the situation teaching method, such as creating real-life observation situations (observing school pictures, children's photos, taking pictures of teachers, etc.), so that students could feel the connection between mathematics and life, making abstract observation of object knowledge more intuitive and easier to understand. The story introduction method was more effective in the lower grades. It could quickly attract the students 'attention and stimulate their interest in learning. The use of teaching aids, such as magnetic cubes, could allow students to observe objects more intuitively. It was helpful for students to understand the concept of space. 2. ** Not enough ** - Sometimes, the teaching goal was too high or inaccurate. For example, in the third-year teaching, when the object to be observed involved perspective drawings, some students had problems because the teaching goal was too high. In terms of classroom organization, sometimes there was not enough time for students to correct their mistakes. For example, in the practical activity of observing objects, some students missed the later teaching sessions because of the time limit for correcting mistakes. In terms of details, although the teaching session was compact, some of the key content was not explored deeply enough, resulting in students not understanding some concepts thoroughly. In terms of the cultivation of students 'abilities, teachers sometimes led too much and gave students less time to "leave blank", which was not conducive to the cultivation of students' ability to discover and solve problems independently. ** 3. Use of Teaching Resources ** 1. ** Teaching aid ** - The magnetic cube and other teaching aids were synchronized with the teaching materials, which was very useful in helping students understand the knowledge of observing objects. It allowed students to observe the number and three views of the figures from all directions, making learning more intuitive. However, in actual teaching, some teachers might not make full use of the functions of the teaching aids. They only stayed on the simple display and did not guide the students to explore deeply. 2. ** Multi-media Resources ** - The multi-media class could demonstrate the change of the shape of objects from different angles, which was helpful for students to establish their concept of space. However, in the process of use, some of the coursewares were too simple and lacked interaction, which could not meet the learning needs of students at different levels. ** IV. Modification measures ** 1. ** Teaching goal adjustment ** - According to the actual situation and cognitive level of the students, adjust the teaching objectives reasonably. As for the more difficult knowledge points, such as restoring geometry according to the view, they could be taught in stages. They could start with simple situations and gradually increase the difficulty to ensure that the students could grasp the basic knowledge. 2. ** Teaching method improvement ** - In terms of classroom organization, students should be given enough time to correct their mistakes, and the tasks of each student should be clearly defined in group cooperation to improve the efficiency of group cooperation. In teaching, we should use more elicitation methods to guide students to think independently, increase students '"blank space" time, and encourage students to discover and solve problems by themselves. For example, in the process of observing objects, teachers could ask more open-ended questions and let students explore on their own. 3. ** Teaching resource optimization ** - As for teaching aids and learning tools, teachers should dig into their functions and design more inquiring activities. As for the multi-media resources, they had to make more interactive coursewares, such as adding animation demonstration, interaction exercises, etc., to meet the learning needs of students at different levels. At the same time, online teaching resources could be used to expand students 'learning channels, such as providing some virtual experiment platforms for observing objects, so that students could conduct independent research after class. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The information you gave me about 'Reflection on the classified teaching plans of the large math class' is not complete. If you want to recommend a reflection on this lesson plan, you have to tell me the general content of the lesson plan, the strengths, weaknesses, and improvements mentioned in the reflection. Only then can I integrate the recommendations according to the requirements. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a lesson plan, reflection, and analysis of the shortcomings of "Interesting Paths" in mathematics for a small class: ##1. Teaching Plan ###(1) Activity Target 1. Perceiving the order of things correctly and expressing it in words. 2. It could arrange things according to their size, color, and appearance. 3. Able to operate carefully and in an orderly manner. ###(2) Event preparation 1. There were four large drawings of the castle. Three of them had a certain arrangement of paths in front of the door, and one had no paths in front of the door. 2. Red, yellow, and blue circles of different sizes, as well as triangular and square shapes, were arranged in groups. 3. Everyone had a copy of the operation card with the arrangement of the castles. ###(3) Activity process 1. ** Game import ** - Through the "Train Driving" game, lead the children to the Happy Castle for an outing to arouse their interest. 2. ** Perceiving the arrangement of the paths in front of the castle ** - After arriving at the castle, guide the children to observe the path in front of the castle. - For the path in front of the first castle (such as a big circle and a small circle), the path in front of the second castle (such as a circle and a triangle), and the path in front of the third castle (such as a blue square and a red square), observe and ask questions to guide the children to discover the arrangement of stones on the path. Some were arranged according to size, some according to different shapes, and some according to different colors. 3. ** Guide children to discuss and design paths ** - Show the fourth castle without paths and guide the child to think about what kind of paths he would like to pave if he were a designer (arranged by size, shape, or color). 4. ** Children's operation and teacher's guidance ** - The children would choose the patterns according to their own wishes and arrange them in a regular manner. The teacher would observe and guide the children, focusing on guiding the regularity of the arrangement of the children. The teacher would remind the children to determine the arrangement pattern before operating. 5. ** Event Review ** - Guide the child to introduce the path he designed. ##2. Reflection and Analysis of Inadequacies ###(1) Strengths 1. ** The activity segment is clear ** - The four segments of the event were relatively clear. The introduction segment could stimulate children's interest; the observation path segment could go from simple to complex, allowing children to gradually understand the arrangement rules and be able to express them in words; the selection path segment could further deepen their understanding of the arrangement rules; the paving segment could consolidate children's understanding of the arrangement rules and graphics. 2. ** Pay attention to individual children ** - Able to give every child a chance to speak and encourage them at the right time to give them a sense of success. Children's participation is high and they have a strong interest in activities. ###(2) Not Enough 1. ** Language Norm Problem ** - In mathematics activities, the language was not standardized and refined enough. It was more casual. For example, when explaining the rules and guiding children to operate, they might not use accurate mathematical terms. 2. ** Operation material design problem ** - The design of the infant operation paper was inadequate. For example, the path on the operation paper could be designed to be longer so that the child could perform more sorting operations. It would be better if the teacher's demonstration icon was directly designed on the operation paper instead of pasted on the table, because some children might ignore the demonstration icon on the table and thus could not pave the road correctly according to the rules. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is some information related to high school mathematics online classes: - ** Teacher's recommendation **: - "First Mathematics" Teacher: He teaches online classes on various platforms and has many fans. The video content is about high school mathematics teaching. It is featured by a half-question and half-talk thinking method. It can guide students to discover more content from the questions and make boring mathematics interesting. His complete high school mathematics collection has 50 million views. It is suitable for students with poor foundations to watch the course content with clear explanations of concepts. After a solid foundation, they can also watch the advanced courses. - Zhao Lixian: "It's suitable for students with a score of 110 or above. The course is more outstanding in terms of thinking." - Senior Liang: "The class is more complete, which will help the students improve their grades gradually." - Wang Wei,"Although it's not that popular, some students recommend it." - ** Online school recommendation **: - New Oriental Online, Simple Learning Network, Primary and Secondary Education Network, Dezhi Online School, etc. had good reputations. These online schools were generally taught by famous teachers and had professional guarantees. Moreover, online classes were cheaper than face-to-face classes, had a wide variety of classes, and had the advantages of free time and venue. - ** Free course resources **: - The high school mathematics tutoring website was operated by Jinghan Education. It was an online educational resource platform that focused on mathematics. It provided learning materials such as learning squares, high school mathematics coursewares, high school examination papers, and many other sections. All resources could be downloaded and viewed for free. - There were also free high school mathematics video lessons such as the 2022 college entrance examination true question series, the 2022 Beijing college entrance examination mathematics 20 questions (derivative)(examinee's memories), the college entrance examination mathematics foundation, the application of the college entrance examination mathematics geometric meaning, three-view restoration, function assignment method to solve the series problem, and so on. "Oh, My Yao" was equally exciting. Everyone, please click to read it!

The following is a detailed reflection on the classification of mathematics activities in small classes: ** 1. Achievement of the event objective ** 1. ** Knowledge and Skill Target ** - In the classification activity, if the goal is to let the child learn to classify according to a certain feature, such as color or shape. During the activity, it was necessary to observe whether the child could accurately classify the items according to the given standards. For example, in an activity that used color as a classification standard, whether the child could put red items together and blue items together. If most of the children could operate it correctly, it meant that the goal was achieved. However, if some children were confused, such as grouping red and similar colors such as orange, this might indicate that the guidance of color distinction in the teaching process was not clear enough, or the color contrast of the teaching materials chosen was not obvious enough. - If the goal of the activity involves letting the child understand the concept of classification, such as saying,"Putting the same things together is classification." Teachers should guide children to understand this abstract concept through a variety of examples. In the process of reflection, review the child's answers. If the child can express similar concepts in his own language, it means that the concept transmission is successful. On the contrary, he needs to consider whether there are problems in the teaching method or the choice of examples, such as whether the use of overly complicated language or not vivid examples to explain the concept. 2. ** Course, Method, and Target ** - When the goal was to cultivate the child's observation ability and operation ability, it was necessary to consider whether the activity process gave the child enough opportunities to observe and operate. For example, in an activity that categorized objects by shape, the child needed to observe the objects of different shapes before operating them. If the teacher explained too much during the activity and the child had too little time to observe and operate independently, it might affect the development of these abilities of the child. Teachers could reflect on whether there was enough time for children to explore and discover the rules themselves, and whether they gave appropriate guidance during the operation of the children, without too much intervention and correcting mistakes in time. 3. ** Emotions, attitudes, goals ** - It was important for the children to develop their interest in mathematics activities. In the activity, you can create interesting situations, such as small animals sharing food, to attract children to participate. When reflecting, you should consider the enthusiasm of the child in the activity and whether he actively participated in the classification activities. If the child showed a negative or disinterested attitude, it might be that the situation was not attractive enough, or the difficulty of the activity was too high or too low, causing the child to lose the challenge or sense of accomplishment. ** 2. Event content design ** 1. ** The rationality of the classification criteria ** - The classification criteria chosen should be in line with the cognitive level of the children in the small class. For example, classification by size, color, simple shape, etc. was more suitable for small children. However, overly complicated classification criteria, such as classification by function or material (materials that were difficult for small children to understand), might cause difficulties for children. If it is found that the child has difficulty understanding the classification criteria during the activity, it is necessary to re-evaluate whether the selection of the classification criteria is appropriate. 2. ** Selection and Use of Teaching Aids ** - The choice of teaching aids should be intuitive, vivid, and colorful to attract the attention of children. For example, using colored blocks, small animal cards, etc. as teaching aids for classification. In the process of reflection, he had to consider whether the teaching aid had played its proper supporting role. If there were too many or too few teaching aids, it might affect the child's operating experience. Too many teaching materials may confuse the child, and too few may not fully demonstrate the variety of categories. At the same time, the presentation method of the teaching aid was also very important. Whether it could clearly display the characteristics of the classification, such as whether the color distinction was obvious when it was classified by color. ** 3. Event organization and implementation ** 1. ** Connection of activity segments ** - The transition between activities should be smooth and natural. For example, from the introduction stage to the main body's classification operation stage, to the final summary stage, there must be a logical connection between each stage. If the transition between the activities was found to be stiff, the child might be distracted. This required a re-adjustment of the transition between the segments. For example, the continuation of the story, questions, and guidance could be used to make the connection between the segments more natural. 2. ** Teacher's guidance and interaction ** - When the child was performing the classification operation, the teacher's guidance should be timely and appropriate. If the teacher pointed out the child's mistakes too early or interfered too much with the child's operational thinking, it might affect the child's independent exploration ability. Teachers should give appropriate guidance when children encounter difficulties or misconceptions. At the same time, the interaction between teachers and children was also very important. Children should be encouraged to actively express their thoughts and give positive feedback in a timely manner, such as praise and encouragement, to enhance children's self-confidence and participation. ** 4. Event Extension ** 1. ** Contact between family and kindergarten ** - You can think about how to extend the classification activities to the family, such as assigning small family tasks and letting the children sort their toys when they go home. If you don't connect well with your family in the extension of activities, you may miss some opportunities to consolidate the knowledge and skills that children have learned. They could consider informing parents of the content of the activities through parent groups and providing some simple suggestions for family activities to promote children's learning and development in the family environment. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following are some ideas for integrating primary school mathematics knowledge into the class logo design: * * 1. Use geometric figures ** 1. * * Basic Diagram Combination ** - It can be combined with basic geometric shapes such as squares, rectangular shapes, triangular shapes, and circles. For example, a few identical triangulas could be used to form a large triangle. An equinoceros triangle could represent a stable and positive class spirit. If four right-angled triangle could be put together to form a square, the square represented rules, fairness, and good order in the class. - The circle was a symbol of tolerance and unity. The circle could be used as the outer outline of the class emblem, and other patterns could be used to combine the patterns with the class characteristics. For example, using some small rectangular shapes in the circle to form the shape of a book, it meant that the class valued learning knowledge. 2. * * Symmetries and Translations ** - Using the knowledge of axiality, he could design a class emblem that was symmetrical on the left and right or up and down. For example, with a vertical line as a symmetrical axis, a number or pattern could be designed on the left side, and a symmetrical figure could be designed on the right side. The class emblem looked neat and harmonious. - Parallel knowledge could also be used. For example, first design a small geometric unit, and then translate this unit to get a regular pattern. For example, translate a small square to form a large square or rectangular pattern. This large pattern could be the main part of the class emblem. 3. * * Number of relationships reflected ** - Use numerical relations to determine the size or proportion of a figure. For example, when designing the class emblem, if you want to show the unity and cooperation of the students in the class, you can make the length or diameter of different shapes have a multiple relationship. For example, the diameter of a big circle is three times the diameter of a small circle. It means that although there are differences in size (in terms of ability or personality) between different groups or students in the class, they are all closely related. The three times relationship can also symbolize the positive meaning of unity and strength. - The idea of finding the number of squares by using the standard number method mentioned in the information could also be used to construct the elements of the class emblem. For example, a class badge had several small squares forming a large square structure. The number and arrangement of these small squares could be determined by the number of students in the class or some special numbers in the class. For example, if there were 25 students in a class, they could be designed into a 5 × 5 square structure. The combination of small squares would represent each student, reflecting that the students in the class were working together to build a whole. * * 2. The relationship between color and mathematics ** 1. * * Color ratio ** - According to the principle of the three primary colors, red, yellow, and blue could be mixed into other colors. In the design of the class emblem, the color could be chosen according to the proportion of the color mixture. For example, in a class emblem, the red part accounted for 1/3, the yellow part accounted for 1/3, and the blue part accounted for 1/3. Such a color ratio could represent the equality and harmony between the students in the class. - Or the size of the color region could be determined according to the golden ratio. For example, the main color areas of the class emblem were divided according to the golden ratio of 0.618, making the class emblem more beautiful and harmonious. 2. * * Color code and mathematics ** - If the class has its own numbering system or serial number, it can be converted into a color code. For example, if the class number was 12, 12 could be disassembled into 1 and 2. 1 corresponded to a certain hue value of red, and 2 corresponded to a certain hue value of blue. Then, these two colors would be used in the class emblem to reflect the unique logo of the class. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>