The following is an example of an elementary school mathematics teaching design: * * 1. Teaching objectives ** 1. Let the students understand the concept of time, including the relationship between hours, minutes, and seconds. 2. To enable students to perform simple calculations of time, such as calculating the time that has passed. 3. Cultivate the students 'concept of time and let them develop the awareness and habit of observing and cherishing time. * * 2. Important and Difficult Points in Teaching ** 1. * * Main point ** - To explore the method of calculating the time that had passed. - Understand the difference and connection between time and time. 2. * * Difficulty ** - Distinguish the time and the time that has passed, and accurately solve the relevant problems. * * 3. Teaching process ** #(1) Introduction of review 1. Using the clock model, he asked," - How many large compartments were there on the clock face, and how many small compartments were there between each large compartment? - How much time did it take for the hour hand to move one square, and how much time did it take for the minute hand to move one square? - How many minutes was it when the minute hand made a circle? - How many minutes were one hour, and how many seconds were one minute? 2. The teacher set different times, such as 5:00, 3:20, 6:00, 9:50, etc., and let the students read out the time. Then, according to the conversion of 1:00 = 60 minutes, such as how many minutes are 2:00, how many hours are 180 minutes, etc., lead to the topic of time calculation in this lesson. #(II) New Grant 1. * * Reading and Understanding ** - Take Xiaoming's school as an example (assuming that Xiaoming left home at 7:30 and arrived at school at 7: 45). To guide the students to think about how much time Xiaoming took to go from home to school, they needed to know the time Xiaoming left home and the time he arrived at school. Students could use a line diagram to represent the meaning of the question. The left end of the line diagram represented the departure time of 7:30, the right end represented the arrival time of 7:45, and the middle part was the elapsed time. 2. * * Analysis and Answer ** - * * Counting **: - With the help of the clock model, let the students count one small grid after another, or one large grid after another. For example, from 7:30 to 7:45, a small grid counted a total of 15 minutes, or a big grid, there were three big grids in the middle, each big grid had five minutes, and the minute hand had walked for 15 minutes. - * * Calculating **: - Subtracting the start time from the end time, that is, 7:45 - 7:30 = 15 minutes, or directly deducting the minutes, 45 - 30 = 15 (minutes). It could also be written as 7:45 - 7:30 = 15 minutes. - * * Using the Time-Ruler to Understand **: - Show the time ruler. Each grid represents 5 minutes. Ask the students to count the time from 7:30 to 7:45, which is 15 minutes. Turn the concept of time from the clock into the concept of a straight line. 3. * * Review and Reflection ** - To verify the calculation results, he could use the elapsed time and arrival time to think backwards to see if he could deduce the starting time. If the arrival time was 7:45 and the time passed was 15 minutes, then 7:45 - 15 minutes = 7:30. The verification result was correct. #(3) Consolidating Practice 1. Give different time scenarios, such as an activity starting at 10:20 and ending at 11:10. Ask the students to calculate the duration of the activity. 2. The students were asked to record the start and end time of their journey from home to school or to do something, and calculate the time that had passed. #(IV) Class summary 1. He summarized the methods of calculating the time that had passed, such as counting, calculating, etc. 2. It emphasized the difference between time and elapsed time. Time was the time of a point, while elapsed time was the time period between two moments. 3. Remind the students to cherish their time and arrange their time reasonably. Read more exciting novels for free
The following is a design draft for a primary school mathematics mini-class: ** 1. Basic Information ** 1. ** School **:[Name of school] 2. ** Name **:[Teacher's Name] 3. ** Course **: Elementary Mathematics 4. ** Ability Dimension **: For example, teaching design. 5. ** Affiliated environment **: For example, blended learning environment. 6. [** Mini Ability Points **: For example, B2 Mini Course Design and Production] 7. ** Project Name **:[Project Name] ** 2. Intent of Choosing a Title ** Explain the reasons for choosing this topic, such as allowing students to master certain mathematical knowledge, cultivating specific mathematical thinking or skills, and how it is related to the student's mathematics learning process. It can also mention the role of cultivating students 'interest in mathematics learning. ** 3. Teaching target ** The relevant information such as the grade of the target of the lecture was clearly stated. ** 4. Teaching objectives ** 1. Knowledge and Skill Target - To clarify the specific mathematical knowledge that students should master, such as concepts, formulas, calculation methods, etc. - For example, it would allow students to correctly calculate a certain type of math problem and recognize a certain mathematical symbol. 2. process, method, goal - Description of the learning process that the student will experience, such as observation, operation, comparison, induction, etc. - For example, to let students learn some mathematical thinking methods in the process of solving problems, such as deducing mathematical laws through induction. 3. Emotions, attitudes, values, goals - It involved the cultivation of students 'attitude and interest in mathematics. For example, it could cultivate students' interest in mathematics, let students feel the connection between mathematics and life, and thus love mathematics more. It could also cultivate students 'learning habits such as serious observation and independent thinking. ** 5. Teaching purposes ** Explain the use of micro-classes in the teaching process, such as teaching in class, pre-class preparation, or after-class review, and explain the role of micro-classes in students 'learning at this time, such as helping students understand important and difficult knowledge, consolidating what they have learned, etc. ** 6. Knowledge Type ** For example, the theoretical lecture type, the operation demonstration type, and so on. ** 7. Production Method ** Such as recording screen and so on. ** 8. Estimated Duration ** ** 9. Micro-course Design ** 1. ** Teaching process ** - ** Part of the import ** - Design a short introduction method, such as asking questions, showing life scenes or telling a short story to arouse the students 'interest and lead to the topic of the lesson. - The time allocation for the introduction phase was clear. - ** Knowledge Explanation ** - He explained the mathematical knowledge in a logical order. - Many teaching methods could be used, such as examples, graphics, animations, etc., to help students understand abstract mathematical concepts. - To analyze the key and difficult knowledge in detail, such as through comparison, examples, etc. to deepen the students 'understanding. - Arrange this part of the time reasonably. - ** Consolidating Practice Part ** - Design some practice questions, which could be written practice questions, practical operation questions, or an interaction game. - The practice questions had to be targeted and could test the students 'mastery of the knowledge they had learned. - He was clear about the time arrangements for the practice session. - ** The summary ** - This was a summary of the main mathematical knowledge learned in this lesson. - It could guide the students to review the key points, difficulties, and solutions to the problems in the learning process. - He decided on the time for the summary segment. 2. ** Design Intent ** - Explain why the teaching process is designed in this way. For example, it is designed to guide students to master knowledge, experience certain mathematical ideas, and break through teaching difficulties. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Generally speaking, elementary school mathematics teaching design included the following common links: 1. Teaching preparation segment: - To analyze the students 'learning situation and understand the students' existing knowledge base, learning ability, learning attitude, etc., such as the students 'calculation level, concentration level, and the degree of mastery of basic knowledge. This would help the teacher determine the difficulty of the teaching objectives and content based on the actual situation of the students. - Set teaching goals, from the perspective of subject knowledge, learning ability, learning concept, etc., such as understanding, mastery, application, and comprehensive goals of knowledge. He also had to consider the general concepts of the subject, such as computational thinking, and propose goals of different difficulty levels, such as mastering the calculation methods of this unit, being able to flexibly convert the calculation forms, and using calculation skills to solve the calculation problems in life. - Analyzing the content of the teaching materials and making clear the key points and difficulties of the teaching. For example, the derivation of the volume calculation method of the cylinder and cone may be a teaching difficulty, and the calculation method of the surface area of the cylinder may be a teaching focus. 2. Teaching implementation: - Creating a situation would help the students construct the meaning of what they had learned. For example, creating different situations in different teaching contents, creating situations in review class for overall review, creating situations in practice class for review and combing, etc. It could be life situations, problem situations, etc. For example, when teaching negative numbers, it could be combined with life examples to let students understand the meaning of negative numbers. - To guide the students in their studies, they could use group learning and independent exploration to let the students learn around the problem. In group learning, the students 'sense of cooperation and interpersonal skills were cultivated. Students explored and communicated within the group to reach a consensus. - The teacher would provide necessary guidance. When the students encountered problems in the learning process, the teacher could give appropriate suggestions. For example, when the students reported their learning results, the teacher would give feedback to the students 'reasonable or unreasonable answers. 3. Teaching evaluation and expansion: - Achievement reporting and evaluation. After the students reached a consensus through exploration and communication in the group, the team leader would report the learning results. The teacher would evaluate the students according to their answers, fully reflecting the student's dominant position and cultivating the student's innovative thinking. - Extra-cursory extension and practical application. After class, students should pay attention to the application of the knowledge they have learned. This was the requirement of quality education. For example, after learning computational knowledge, students should use computational skills to solve computational problems in life and cultivate their practical ability. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Here are some ways to solve the problem of poor math grades in first grade: ** 1. Parents 'participation ** 1. ** Guide revision and preparation ** - The first graders did not know how to review and prepare for the lessons. Parents had to take time out every day to guide their children to develop this habit. Through revision, one could deepen their understanding and memory of the day's learning content. Previewing could make the child mentally prepared for the next day's learning. 2. ** Supervising the recitation of the pithy formula ** - Parents should supervise their children to memorize the addition and deduction table every day. Before the child reads, you should do a good job of guiding him. You can agree with the child on the number of times or time to recite. For example, read it once or twice a day. After the child is familiar with reciting, you can review it once a week. Pay attention to the review method to avoid the child's rebellious emotions. 3. ** Cultivate sensitivity to numbers ** - Parents could play some number games with their children before going to bed, such as positive and negative numbers. This would give children a stronger understanding of the order of numbers. They could also play games with shorthand numbers, from simple license plate numbers to mobile phone numbers, bank card numbers, etc., from easy to difficult. This would not only make the child not resist, but also cultivate his sensitivity and memory ability for numbers. 4. ** encourage children to build confidence ** - Parents should constantly encourage their children and subconsciously influence their children to make them feel that they have the ability to learn mathematics. For example, if a child did a question correctly, he would be given affirmation. If he did a difficult question correctly, he would be encouraged. He could also use examples of students with good grades who did a careless mistake and the child did it correctly to motivate the child. ** 2. Learning Method ** 1. ** Solid Basic Knowledge ** - Mathematics was a subject that progressed step by step. The basic knowledge of the first grade, such as addition and substitution, multiplication and division, and the concepts and techniques of scores, had to be mastered. If the foundation is not solid enough, it is necessary to find problems as soon as possible and make plans to strengthen the study, through repeated practice to consolidate. 2. ** Practice more ** - Practice was the key to mastering mathematics. He had to do more math exercises, especially applied questions. Through practice and application, one could better understand and remember mathematical concepts and methods. 3. ** Master the question type method ** - To master the first grade mathematics application questions must be tested, such as the question mark on the top with substitution, the question mark on the bottom with addition; The diagonal line in the picture was crossed out with substitution, and the virtual circle was used for substitution; The total and original were added, and the remaining and were used for substitution; How much more, how much less, more than who, less than who also used substitution. ** 3. Seeking help ** 1. ** Using teaching resources ** - He could choose suitable supplementary teaching materials, such as materials that included the 190 compulsory test points of primary school and the video lectures of famous teachers. He did not need to sign up for cram school or do a lot of questions. He could let the child go from zero foundation to advanced, and gradually master the difficult points. 2. ** Ask others for advice ** - When the child is confused, he can ask the teacher questions and discuss with his classmates. If parents had difficulties in tutoring, they could also seek the help of teachers. For example, the teachers in Tutu Class could play a role in guiding their children to consolidate their basic knowledge. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some examples of teaching design for primary English units: - During the English teaching seminar at the primary school, Zhao Qian, Li Yazhuo, and Xie Jiangyi each said," Unit 5 Let's have fun!”“Unit3 Welcome to Our School Club Day!”“It’s a lovely life. " The three-unit teaching as a whole was used as an example to explain the lesson and present the teaching and research practical class. They used the concept of large units to unify the content, boldly created the teaching materials, used the situation task to drive the teaching, paid attention to the secondary development and reorganization of the teaching materials, and integrated the logical connection of the contents of each section. - The Primary English Teaching and Research Group of Baiyun Mountain School carried out large-scale themed teaching and research activities. There were many lessons to show: - Teacher Jiang Weiwei taught the second lesson of the large unit theme Pen friend. The theme was to encourage students to contact multiculturalism through pen pals, determine the unit goal through the process of pen pals with specific characters, design structured activities around teaching elements, and set up multiple task activities to implement the concept of teaching evaluation integration. - In the first lesson of the big unit topic, Dogs are good friends, the material of the text was the students 'daily conversation. The students watched the dialogue video to extract information, learn vocabulary, expand vocabulary, etc. They experienced the learning process from learning understanding to application and then to migration and innovation to improve their language ability. - In the first lesson of the big unit's theme, Enjoy school trip, Teacher Liu Lihua guided the students to use the mind map to sort out and introduce their school trip experiences through the activities of watching, listening and speaking. They experienced the joy of traveling and strengthened their courage to overcome difficulties. - Qiu Jingyi taught the second lesson of the large unit theme of Travel Experiences. The theme was to encourage students to share their travel life. From three levels of learning understanding, application practice, migration and innovation, students could learn text knowledge, train their thinking ability, share their own experiences and form correct attitudes. - Teacher Li Tiantian's first lesson on the topic of the big unit, It's mine, used the study of the text as a logical starting point, and used Free Talk to introduce the new lesson. Through the question chain, she helped the students learn to understand the content of the text and sublimate their emotions. - Teacher Wang Xiaolin talks about the theme of the big unit. Can I come in? In the second lesson of the class, the material of the text is to ask for the consent of others and abide by the rules. Students watch videos to learn vocabulary and role-play, cultivate their ability to speak English and strengthen their awareness of the rules. - In the second lesson of Teacher Yang Weina's lecture on the big unit theme, I didn't play football. The students watched the dialogue video to learn language knowledge. They completed the reading by introducing their own activities, and from the text learning to the real world to improve their language skills. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some practical teaching cases in primary school mathematics classrooms: - ** Case 1: Combining the concept of scores with life practice ** - When teaching the concept of scores, students were organized to carry out practical activities. For example, divide a piece of chocolate into several equal parts and let the students understand the concept and calculation of scores through practical operations. This teaching method allowed students to grasp the basic concepts of scores through personal experience and cultivate their observation, thinking, and cooperation. - ** Case 2: The application of gamified teaching in mathematics practice ** - Using the game-based teaching method to integrate the game elements into the teaching process. For example, designing mathematical puzzles, mazes, and other mathematical games to let students learn mathematical knowledge in the game. This method could improve students 'enthusiasm and initiative in learning, allowing them to learn mathematics in a relaxed and happy atmosphere, while cultivating logical thinking and problem solving skills. - ** Case 3: Combination of practical teaching and information technology (geometry knowledge teaching)** - When teaching geometry, he would use an electronic whiteboard or mathematical software to teach. It allowed students to observe and explore the nature and relationship of geometric figures through practical operations, providing students with richer and more diverse learning resources. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following is the general idea of writing a primary school mathematics problem design method and strategy paper: * * I. Introduction ** 1. * * Present research background ** - The importance of primary school mathematics teaching in basic education was elaborated, and the key significance of problem design in mathematics teaching was emphasized, such as its role in stimulating students 'thinking and cultivating mathematical accomplishment. - Mentioning the current situation of problem design in primary school mathematics teaching, such as the possible problems such as lack of creativity in design, failure to fully consider the individual differences of students, etc. 2. * * Clear research purpose and significance ** - Explain the purpose of studying the design methods and strategies of primary school mathematics problems, such as improving the quality of teaching and enhancing the students 'mathematical learning ability. - This paper elaborated the theoretical and practical significance of the research. Theoretically, it could help to enrich the primary school mathematics teaching theory, and in practice, it could provide effective question design guidance for frontline teachers. * * 2. Main Part ** 1. * * The theoretical basis of the question design ** - Based on mathematical education theories, such as the theory of construction, which emphasized that students should actively construct knowledge, question design should promote students 'independent inquiry; the theory of cognitive development pointed out that students of different ages had different cognitive characteristics, and question design should be adapted to them. - Citing the requirements of the curriculum standards, such as the requirements for mathematics teaching objectives and student ability cultivation in the Mathematics curriculum standards, how to connect them with problem design, such as to make students form basic strategies for solving problems and experience the variety of strategies for solving problems. 2. * * Question Design Method ** - * * Contextualized question design ** - Explain how to create a problem situation related to real life and integrate mathematical knowledge into it. For example, when teaching mathematics, one could design problems from daily life scenarios such as discounts in shopping malls and interest rate calculations. This would stimulate students 'interest in learning because they could feel the close connection between mathematics and life. - It emphasized the reasonableness and interest of the situation. It had to conform to the logic of mathematical knowledge, but it also had to attract the students 'attention and encourage them to think positively. - * * Layered question design ** - This paper explains how to design different levels of questions according to the differences in students 'learning level and ability. For example, for simple mathematical concepts, basic questions could be designed to help students with weaker learning ability consolidate their knowledge. For students with stronger understanding ability, they could set expansion and inquiry questions. For example, when teaching the area calculation of geometric figures, the basic questions could be directly calculating the area of the regular figure, and the expansion questions could be a variety of solutions to the area of the combined figure. - Explain how to meet the learning needs of different students through layered questions and gradually guide students to improve their mathematical ability. - * * Open question design ** - The characteristics of open-ended questions were that there was not only one answer to the question, and students needed to use a variety of ways of thinking to answer it. For example, when teaching the calculation of numbers, you can design an open-ended question such as "Using the four numbers 1, 2, 3, and 4, through the four operations to get 24, how many methods do you have?" - It emphasized the role of open-ended questions in cultivating students 'innovative thinking and ability to solve problems. It encouraged students to think from different perspectives and cultivate their diversionary thinking. 3. * * Strategy of Question Design ** - * * Student-centered strategy ** - It emphasized the importance of the student's main role in the problem design process, understanding the student's interests, hobbies, and existing knowledge and experience. For example, through pre-class investigations, classroom interactions, and other means to obtain student information, and then design questions that meet the needs of the students based on this information. - Explain how to adjust the question design according to the student's feedback to adapt to the student's learning progress. - * * Strategy to integrate knowledge ** - It explained how to integrate different mathematical knowledge points into one problem and cultivate students 'comprehensive application ability. For example, when designing application questions, one could combine knowledge such as numbers and algebra, graphics and geometry. For example, calculating the volume of a cuboid-shaped swimming pool, the area of tiles, and other problems involved different knowledge points such as length, area, and volume. - It emphasized the importance of knowledge integration to build a complete mathematical knowledge system for students. - * * Strategy to Guide Exploration ** - Explain how to use question design to guide students into inquiring learning. For example, he could design a chain of questions, from simple questions to complex inquiry questions. For example, when teaching the sum of the internal angles of a triangle, he first asked the students how many angles there were in the triangle, then asked how to measure the degree of the angle, and finally guided the students to explore the law of the sum of the internal angles of the triangle. - Explain how to set appropriate hints and guidance in the questions to help students overcome the difficulties in the process of inquiry and cultivate their inquiry ability. * * 3. Case Analysis ** 1. * * Present case studies ** - Choose a few representative elementary school mathematics problem design cases, such as the teaching problem design of a specific knowledge point (such as the addition and substitution of scores). - Explain the content of the question, the design intent, and the target group of students in detail. 2. * * Case analysis ** - According to the problem design methods and strategies mentioned above, the case was analyzed to explain how the problem design in the case reflected these methods and strategies. - Analyzing the effects of the case in teaching practice, such as student participation, learning outcomes, and so on. * * IV. The conclusion ** 1. * * Research results summarized ** - It summarized the main research results of the primary school mathematics problem design methods and strategies, such as effective design methods, practical strategies, etc. - It emphasized the positive impact of these results on primary school mathematics teaching. 2. * * Propose a vision ** - It pointed out the shortcomings of the research, such as the limitations of the research sample. - It also gave some suggestions on the future research direction of primary school mathematics problem design, such as how to integrate information technology into problem design with the development of educational technology. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following is an example of an elementary school mathematics problem solving process: ** 1. Teaching objectives ** 1. To let the students grasp the basic ideas and methods to solve the common problems in primary school mathematics. 2. Cultivate students 'ability to analyze problems, propose solutions, and calculate accurately. 3. To raise the students 'awareness of using mathematical knowledge to solve real-life problems. ** 2. Important and Difficult Points in Teaching ** 1. ** Main point ** - Understand the mathematical relationships in the problem and construct a solution. - Correct use of mathematical knowledge such as the four operations to solve problems. 2. ** Difficulty ** - Able to accurately find key information and convert it into mathematical expressions for complex problems. ** 3. Teaching Method ** Teaching method, practice method, and discussion method combined. ** 4. Teaching process ** 1. ** import (5 minutes)** - Show a simple math problem situation, for example,"Xiaoming has five apples, and Xiaohong has three more apples than Xiaoming. How many apples does Xiaohong have?" Lead the students to think and answer, review the application of simple addition, and lead to the topic of solving problems in this lesson. 2. ** New (20 minutes)** - It presented various types of elementary school mathematics problems, such as addition, substitution, multiplication, and division related application problems, gradually guiding students to analyze the problems. - "The school library has three shelves, each shelf has eight shelves, and each shelf can hold five books. How many books can this library hold?" For example. - The first step was to read the question and understand the meaning. Students were required to read the questions carefully and find the known information (3 shelves, 8 shelves per shelf, 5 books per shelf) and the question (the total number of books that the library could hold). - The second step was to analyze the relationship between quantity and quantity. Students were guided to think about the relationship between these known information. Here, the total number of books was obtained by the number of shelves x the number of shelves on each floor x the number of books in each shelf. - The third step was to list the formulas and calculate. According to the analysis, the formula was 3×8×5 = 120 copies. - Then, he gave a few similar examples and asked the students to discuss the solution in groups. Then, he asked the group representative to speak and the teacher to comment and supplement. 3. ** Practice (15 minutes)** - He arranged some practice questions of different difficulty levels, such as: - [Basic question: A car travels 60 kilometers per hour for three hours. How many kilometers has it traveled?] - The school organized a spring outing for the students and rented four buses. Each bus could seat 45 students. 120 students had already boarded the bus. How many seats were left? - The students were allowed to complete the exercises independently. The teacher would patrol and guide the students to correct the mistakes in the process of solving the questions and calculations in a timely manner. 4. ** Wrap-up (5 minutes)** - Guide the students to review what they have learned in this lesson and summarize the general ideas for solving primary school mathematics problems: read the questions, analyze the quantitative relations, and list the formulas to calculate. - It emphasized the importance of reading the questions carefully, finding out the known information and problems accurately, and analyzing the relationship between quantity and quantity. ** 5. Extension of Teaching ** Arrange homework for the students to find math problems from their daily lives and answer them according to the solution ideas learned in this class. They will share and communicate with each other in the next class. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following is an example of my thoughts on elementary school mathematics problem solving: ** I. Re-understanding the teaching steps ** Elementary math problem solving included the basic steps of examining questions, analyzing, answering, and checking. It could also be understood as looking, thinking, doing, and checking. These steps were not rigid and fixed, but could be flexibly embedded or repeated. Among them, the examination of the questions was particularly important. Students should be taught to understand the meaning of the questions after distinguishing the conditions and questions. What did he know? What do you want?" These three questions allowed the students to understand the requirements of the questions more clearly. In traditional teaching, students were advised to read the questions carefully, but the method of reading the questions was not clear, so the effect was often not good. This inspires us to pay attention to letting students master learning methods in teaching, from "learning" to "learning", in order to improve the creativity and classroom quality. ** 2. The importance of breaking through the mindset ** The influence of the mindset could be seen in the "continuous multiplication problem". For example, some calculations seemed unreasonable in traditional situations, but they could be explained reasonably in another situation. This shows that teachers should not be limited to a fixed thinking pattern, because a teacher's fixed thinking pattern will affect students 'scattered thinking and curb the development of students' creativity. Teachers should get rid of the shackles of the existing "frame" and think about problems from different angles, so that students can have more gains in mathematics learning. ** 3. Respect the cognitive patterns of students ** Due to the age characteristics of primary school students, the diagram method was very important in solving problems. For example, the line segment diagram was simple and clear. In teaching, one should pay attention to its generation process and introduce it in a way that was easy for students to understand. For example, the method of using a small stick to lay out the line segment diagram and marking it with a multiplying problem was very vivid. In the infiltration of the multiplication principle, the tree diagram was used as an example to match the illustration. The choice of the drawing method of the students also reflected their cognitive habits. This reminded the teacher to respect the students 'existing cognition and habits, so that the teaching could be more in line with the students' thinking development law. ** 4. The necessity of exploring the connection of knowledge ** In teaching, methods like the tabulation method were often ignored, but it was similar to column calculation. It could simplify the calculation process and make it easier for students to understand the questions. Taking the problem of chickens and rabbits in the same cage as an example, the essence of many methods such as the graphic method, hypothesis method, and list method was to first assume, then compare, and finally adjust. However, teachers often only taught different solutions and did not explore the relationship between methods. This required teachers to guide students to understand the process of knowledge's occurrence and development, to understand the relationship between knowledge, so that students could truly grasp the essence of mathematical knowledge, and to prevent knowledge from becoming a tree without a source. To sum up, primary school mathematics problem solving teaching needs to pay attention to the flexible use of teaching steps, break through the mindset, respect the students 'cognitive laws, and explore the relationship between knowledge and other aspects to improve the quality of teaching and let students better grasp mathematical knowledge. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some feedback opinions that may be involved in the design of primary school mathematics homework: * * 1. Regarding the purpose of homework design ** 1. * * Not targeted enough ** - The homework did not fully consider the overall characteristics of the students in the class. For example, some of the students in the class were active and some were calm. There was no homework that was more suitable for different types of class atmosphere based on this class difference. - There was not enough distinction between students with different levels of knowledge (good, medium, and poor) in the same class, so students at all levels could not obtain different gains from the homework. There might be situations where the difficulty of the homework was too high or too low for some students. - They didn't take into account the differences in learning styles of students at the same level (such as being lively and active, like to communicate and study, and quiet and passionate about independent thinking), causing the results of the homework to be uneven for different students. 2. * * Not closely related to teaching objectives ** - Some of the assignments were not designed around the teaching purpose and tasks of each math class, resulting in the assignments not being able to consolidate the classroom knowledge or extend the content learned in the classroom, and could not provide effective support for teaching. * * 2. Homework design format ** 1. * * Not enough forms ** - It was limited to the traditional form of classroom homework and homework. It lacked open design in terms of the number of homework (for example, designing different amounts of homework for students of different levels), open design in terms of homework selection (for example, allowing students to have more opportunities to choose different types of questions), social survey homework design, practical homework design, and hierarchical homework design. - The overall lack of fun and variety could not stimulate the students 'interest in learning. For example, there was no way to design homework in the form of letting the lower grade students experience mathematics in their lives (such as tidying up the room to feel the classification of knowledge, looking for the graphics in life, etc.) or letting the upper grade students use mind maps to summarize knowledge and share it. 2. * * Lacking innovation ** - The homework design model was more traditional. It did not break through the "one-size-fits-all" arrangement model, and did not fully tap the functions of the homework. For example, it did not fully tap the functions of improving the students 'comprehensive quality (such as knowledge transfer, experience in solving problems, interest habits, character, and sentiment cultivation, etc.). * * 3. Other aspects ** 1. * * Controlling the workload ** - The amount of homework might not meet the requirements of selecting homework, reducing the amount of homework, and increasing the efficiency. It might not reduce the burden of students 'homework while improving the learning effect of students. As a result, students might spend too much time on homework, affecting students' rest and interest in learning. 2. * * The cultivation of high-level thinking is insufficient ** - The homework might focus more on consolidating the basic knowledge, but it was lacking in cultivating students 'higher-order thinking (such as analysis, synthesis, evaluation, and other thinking skills), which was not conducive to the improvement of students' mathematical literacy. <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>