livingston research mathematics

The following is an example of a research report on elementary school mathematics: ** 1. Research background ** (I) Education Competition In modern society, science and technology were developing rapidly. The economic competition had turned into a competition for talents, which then evolved into a competition for education. Education innovation and teaching reform have become the core theme of education. Mathematics education is an important part of basic education, and its teaching reform is essential to cultivate talents to adapt to modern society. (II) Mathematics teaching reform and development background 1. Changes in teaching philosophy The new mathematics curriculum standards required students to acquire the mathematical knowledge, thinking methods, and application skills needed to adapt to future social life and further development, to experience the connection between mathematics, nature, and human society, to learn to use mathematical thinking to solve problems, and to form a scientific spirit. The current mathematics curriculum reform focuses on reflecting the basic mathematical thinking methods, presenting the content in a popular and life-oriented way, so that students can master mathematics in activities and real life. 2. Traditional teaching situation There were many problems in traditional mathematics teaching: - In terms of goals, they focused on imparting knowledge and achieving skills, ignoring the cultivation of students 'practical ability and innovative spirit. - In terms of content, they relied too much on textbooks and were out of touch with student life. - In terms of learning activities, students 'learning methods were monotonous and passive, lacking opportunities for practice, exploration, and cooperation. - In terms of evaluation, it paid more attention to book knowledge, calculation and reasoning skills, and paid less attention to students 'learning attitude, emotions and practical ability. ** 2. Main Research Questions ** (I) Teaching content reform It solved the problem of traditional mathematics teaching content being separated from the reality of life. It made the mathematics content full of life and let the students experience the close connection between mathematics and nature, society and life. (II) Homework problems 1. The Status of Homework in Teaching Homework was as important as classroom teaching. Both domestic and foreign teaching theories pay attention to homework problems. With the deepening of teaching reform and the promotion of the "double reduction" policy, homework problems need to be analyzed and studied from a multi-dimensional perspective. Homework reform is an important way to reduce the burden of students 'homework and reflect the students' learning initiative. 2. The Present Situation and Disadvantages of Mathematics Homework in Primary Schools - Our school's sample survey found that primary school mathematics homework generally has boring content, monotonous form, uneven distribution of quantity, ignoring students 'potential, paying attention to independent homework and neglecting cooperative homework, etc., which leads to students' disgust and affects students 'physical and mental health development. - In the current mathematics teaching, due to the influence of examination scores, there are drawbacks such as ignoring the differences between students, the imbalance of practice "quantity" and "quality", emphasizing concept theorem and neglecting the use of skills, resulting in ineffective or inefficient homework for students. Therefore, constructing a student-centered primary school mathematics homework model has become an important topic. ** 3. Theoretic basis ** (I) Constructionist Theory Knowledge included objective and subjective knowledge. Obtaining objective knowledge required the participation of subjective experience. Students should take the initiative to construct knowledge on the basis of their original cognition, rather than simply accepting the teacher's transmission. Multiple Intelligence Theory ** IV. Strategy in Teaching Practice ** (I) Large unit teaching strategy 1. total planning The teacher planned the teaching of mathematics as a whole, defined the goal and content, and connected the knowledge points to form a logical structure system to help the students form an overall understanding. 2. create situations Create situations based on the reality of life, guide students to use mathematics to solve practical problems, cultivate applied and innovative thinking, and stimulate interest and curiosity. 3. inquiry learning Guide the students to explore the knowledge of the unit, provide space and time for exploration, let the students experience the mathematical thinking process, and cultivate the ability of exploration and independent learning. 4. exchanges and interactions Through group discussions and other means, students can communicate and cooperate, inspire each other, and stimulate their thinking and innovation potential. 5. Evaluation and Reflection It uses a variety of evaluation methods to evaluate the learning results and process, guiding students to reflect, focusing on comprehensive quality and development potential. (II) Exploration homework design strategy 1. Exploration of the theoretical basis of homework. 2. To analyze the causes of ineffective and inefficient homework. 3. In order to promote the healthy and effective development of students, this paper explored the ways and methods to cultivate students 'positive feelings of loving mathematics, to comprehensively apply mathematical knowledge, to accumulate mathematical experience, and to improve their scattered and creative thinking in the learning activities inside and outside the mathematics subject. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following are some of the primary school mathematics research topics: - The research on the management of mistakes in primary school mathematics based on the knowledge map was to construct the knowledge map by combing the knowledge points, store the relationship between the knowledge points and the mistakes, and form the management method of the mistakes to assist the students in the management of the mistakes to consolidate the knowledge system. - The research on the cultivation of core accomplishment in primary school mathematics classroom teaching. Through research and demonstration, an effective strategy for the cultivation of core accomplishment in primary school mathematics classroom teaching was formed to improve students 'mathematics accomplishment and results. This would help students consolidate and apply mathematics knowledge. - For example, the research on the special exercises of the fourth grade mathematics applied problems. Through the special exercises, it helped the students consolidate their foundation, check for gaps, and master the skills of solving applied problems, including the training of examining questions, judging questions, and solving columns. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

I'm not too sure about the specific content of the " summary and reflection on the research of primary school mathematics textbooks ". Are you going to integrate and polish the summary and reflection content after studying the primary school mathematics textbooks? You can give me a concrete summary and reflection so that I can carry out the operation. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

As a form of teaching, the primary school mathematics research class has the important significance of reflecting and optimization on teaching methods and teaching effects. The following is a reflection report on the primary school mathematics research curriculum: ** I. The implementation process of the research course ** 1. ** Pre-class preparation ** - Teachers needed to have a thorough understanding of the teaching objectives and choose the appropriate teaching content according to the teaching outline and the actual situation of the students. For example, they had to consider whether the difficulty of the knowledge points was in line with the student's cognitive level. In terms of teaching design, the teaching links were carefully arranged, such as the order and time allocation of the introduction, new teaching, practice, summary, and other links. The selection of teaching methods was also crucial. It was necessary to choose the appropriate method according to the teaching content and the characteristics of the students. For example, the intuitive demonstration method could be used for abstract concepts, and the inquiry-based teaching method could be used for the exploration of laws. At the same time, prepare teaching media, such as making vivid coursewares, preparing relevant videos or online resources, etc., so that the teaching content can be better presented in the classroom. 2. ** Class Teaching ** - Pay close attention to the students 'learning situation when carrying out teaching activities according to the teaching design in class. For example, observing the students 'expressions, enthusiasm and accuracy in answering questions, and so on, so as to adjust the teaching strategy in time. If it was found that most students had difficulty understanding a certain knowledge point, they would need to slow down the teaching progress and re-explain it in a more easy-to-understand way. If the students were not interested in a certain content, they would have to find ways to make it more interesting, such as by increasing the interaction or changing the way they explained it. 3. ** Reflection after class ** - At the end of the lesson, the teacher had to review the entire process. From the perspective of teaching effect, it was necessary to analyze whether the expected teaching objectives were achieved and how well the students grasped the knowledge. For example, judging by the completion of classroom exercises and homework. At the same time, he thought about the strengths and weaknesses of teaching. The advantages might include the ingenious design of a certain teaching link that successfully attracted the attention of the students, or the application of a certain teaching method that made it easier for the students to understand the difficult knowledge, etc. The shortcomings might be that a certain part of the teaching content was not explored deeply enough, resulting in the students 'shallow understanding of the relevant concepts, or the choice of teaching methods did not fully consider the actual level of the students, causing some students to be unable to keep up with the teaching rhythm. ** 2. Analysis of the highlights of the research class ** 1. ** Teaching design innovation ** - By carefully designing the teaching process and using a variety of teaching methods, students 'interest and participation in learning can be increased. For example, the scenario teaching method could integrate abstract mathematical knowledge into vivid life scenes. For example, when teaching addition and deduction, one could create a shopping scene and let students learn to calculate in the process of shopping. Problem-solving could stimulate the students 'thinking ability. The teacher would propose a challenging problem and guide the students to use the knowledge they had learned to solve it. Group cooperative learning could cultivate students 'teamwork ability, allowing students to discuss problems and exchange ideas in groups. For example, when exploring the characteristics of geometric figures, the group of students could observe, measure, and discuss together to draw conclusions. 2. ** Information technology application ** - The rational use of multi-media technology can make the teaching content more vivid and helpful for students to understand and remember. For example, using the class to show the dynamic process of mathematical graphics, such as teaching the sum of the internal angles of a triangle, one could cut off the three corners of the triangle and put them together to form a straight angle through an animation, intuitively showing that the sum of the internal angles was 180 degrees. Video resources could be used to introduce new lessons or to supplement and expand knowledge. For example, a video about the history of mathematics could be played to let students understand the origin and development of mathematics knowledge. Online resources could provide more practice and learning opportunities. For example, some mathematics learning websites had a wealth of fun mathematics games and practice questions. 3. ** Students as the main body ** - In the research class, the main role of the students was emphasized. Through guidance and inspiration, the students could take the initiative to explore and solve problems, which could improve the students 'independent learning ability. Teachers were no longer just imparting knowledge, but guiding students in their studies. For example, when teaching mathematical laws, the teacher could first give some examples to guide the students to observe and discover the laws themselves, then let the students summarize the laws themselves, and finally consolidate them through practice. ** 3. The Inadequacies of the Research Class ** 1. ** Depth and breadth of teaching content ** - Some of the research courses were not thorough enough in the excavation of teaching content, and the setting of teaching objectives was not clear enough, which affected the teaching effect. For example, when teaching mathematical concepts, they only explained the definition of the concept without in-depth analysis of the meaning and extension of the concept, causing students to have difficulty in using the concept to solve practical problems. If the teaching goal was too broad or not specific, the teacher would lack a clear direction in the teaching process, and the choice of teaching content and the application of teaching methods would also lack targeting. 2. ** Adaptability of teaching methods ** - The choice of individual teaching methods did not match the actual level of the students and did not achieve the expected teaching effect. For example, for students with poor foundations, if they used the independent inquiry method too much, the students might not be able to effectively carry out inquiry learning because they lacked the necessary knowledge foundation and inquiry ability, thus wasting time and the learning effect was not good. For students with stronger abilities, if they continued to use the traditional teaching method, it might limit their development of thinking and not meet their learning needs. 3. ** The effectiveness of classroom management ** - In some research classes, classroom management was not rigorous enough, affecting the order and effectiveness of teaching. For example, if there was a lack of effective organization and guidance during group discussions, there might be situations where the discussion deviated from the topic, some students did not participate in the discussion, or the discussion was too noisy. The loose discipline in the classroom would also distract the students 'attention, making it impossible for the teaching to proceed smoothly. Teachers would need to spend more time maintaining order, which would affect the teaching progress and effectiveness. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The primary school mathematics cooperation strategy research mainly involves the following aspects: ** 1. In terms of rational grouping ** 1. ** Number of people and expression ** - Each group should have 4 - 6 people. This would ensure that each team member could express their thoughts within the specified time, and there would be enough time to discuss and exchange ideas, which would be beneficial for thinking. 2. ** Principle of Member Constitution ** - Follow the principle of "in-group heterogeneities, in-group homologies". The members of the group were determined according to the students 'academic performance, learning ability, gender, hobbies, and family background. Students with different mathematics foundations, genders, and personalities were grouped together to learn from each other, learn from each other's strengths, and improve their mathematics results together. There should be no obvious differences between the groups to promote fair competition. ** 2. Team Leader Selection and Training ** 1. ** Team Leader Selection ** - Students with strong self-control and organizational skills were selected as group leaders. 2. ** Team Leader Training ** - Carry out "pre-job training" for the team leader and clarify the responsibilities of the team leader, such as being responsible for the cooperation and communication organization of the team, inspection and supervision, praise and criticism, etc., so that the team leader can play a role in developing team cooperation and enhancing the competitiveness of the team. ** 3. Teacher guidance ** 1. ** Seize the opportunity to intervene ** - In the process of group teaching, the teacher could not interfere with the students 'discussion and learning at will. He had to think of ways to deal with possible situations in advance. When the student group discussion could not go on, the teacher would give guidance to help the students get out of the bottleneck and let the group cooperation proceed smoothly. 2. ** Ask questions are encouraged ** - Teachers should encourage students to ask questions, which helps to cultivate students 'thinking ability and creativity. 3. ** Character Change ** - When the students were engaged in cooperative exchanges, the teacher was the catalyst and collaborator. Sometimes, according to the difficulty of the learning task and the actual situation of the students, the teacher would act as a guide. They had to observe the group activities, including the individual participation and cooperation of the students. They had to go deep into the group to understand the completion of the learning tasks, analyze the solutions, find mistakes in time, provide hints or correction, and answer the students 'questions. In group communication, teachers were also collaborators. They had to adjust the students 'learning content, time, and emotions in time to achieve mutual learning and mutual promotion. When guiding the cooperation team to complete the summary and application of new knowledge, the teacher was more of a mentor. ** 4. Learning content selection ** - Teachers had to make sufficient preparations before class, make clear which content was suitable for the group teaching mode, and think about what methods to use to motivate students in order to carry it out smoothly. Not everything was suitable for group teaching. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The primary school mathematics classroom teaching method includes many aspects of content research and practice: ** 1. Teaching philosophy ** 1. ** Student-oriented ** - In the teaching process, every student must be treated equally and fairly, whether in the process of imparting knowledge or evaluation. Teachers should ensure that the teaching attitude and language are friendly, respect the main position of students in teaching, recognize the individual differences of students, and treat students of different levels equally. For example, when explaining teaching content, classroom interaction, assignment and evaluation, they must consider the needs of all students. 2. ** Establishing a democratic and equal emotional atmosphere ** - Teachers had to ensure that they had good feelings and emotions, because this had a direct impact on the establishment of the emotional atmosphere in the classroom. Through a democratic and equal atmosphere, students 'interest in learning mathematics was stimulated, and their creativity and imagination were encouraged to improve their enthusiasm and initiative in learning. To be specific, teachers should ensure democratic teaching in their teaching, encourage all students to actively participate in classroom teaching, and encourage students to express their views and understanding. 3. ** Use a scientific and reasonable evaluation mechanism ** - The assessment was mainly based on encouragement, and the students 'learning was evaluated in a timely manner to maintain the students' learning enthusiasm and self-esteem. This kind of evaluation method could adjust and optimize the students 'cognitive behavior and produce positive emotional results. ** 2. Teaching methods ** 1. ** Teaching Method ** - Teachers use verbal language to describe situations, narrate facts, explain concepts, prove principles, and clarify laws. This was a common teaching method that could systematically impart knowledge to students. 2. ** Conversation (Answer)** - Through the conversation between teachers and students, they could spread and learn knowledge. The teacher guides the students to use their existing experience and knowledge to answer the questions raised by the teacher, so that the students can obtain new knowledge or consolidate or check the knowledge they have learned. 3. ** Demonstrating Method ** - The teacher showed the real object or the model of the real object to the students for observation, or through demonstration experiments, with the help of modern teaching methods, so that the students could obtain new knowledge. 4. ** Class Discussion Method ** - (The reference materials are not detailed, but it is generally to organize students to discuss a certain mathematical problem or knowledge point to promote students 'in-depth understanding of knowledge and cultivate students' thinking ability and cooperation and communication skills.) 5. ** Hands-on operation method ** - (The specific operation was not mentioned in detail, but it can be speculated that students can learn mathematical knowledge through hands-on practice, such as making mathematical models, which helps to improve students 'hands-on ability and intuitive understanding of mathematical knowledge.) 6. ** Teaching methods related to migration guidance ** - Teachers should analyze the knowledge structure of the teaching materials and the connection between the old and new knowledge, guide the students to work hard on the connection points of the old and new knowledge, let the students go from the known to the unknown, from the shallow to the deep, and make the new lesson not new and difficult. 7. ** Prospective guidance related teaching methods ** - The teacher described the prospects of the problem, guided the students 'interest, and made the students clear the direction of their thinking. Then, the students were asked to study the ways and methods to achieve this prospect. 8. ** Demonstrating teaching methods ** - According to the students 'cognitive level, guide the students to develop to a higher level in terms of knowledge and ability. After listening to the lecture, not only can the students solve doubts, but they can also be inspired in observation, analysis, and thinking. ** 3. Connecting with life ** - In order to bring mathematics to life, one had to consider the abstract and theoretical characteristics of mathematics itself, and increase students 'interest in mathematics through certain strategies. This was also a part of the research and practice of teaching methods. Although the reference materials did not elaborate on specific teaching methods, it hinted that teaching should pay attention to the connection between mathematics and life, so that abstract mathematical knowledge could be more intuitive and easy to understand. ** 4. Penetration of mathematical thinking methods ** - Some books summarized the teaching methods of primary school mathematics from the perspective of mathematical thinking, and there were related teaching cases. Teachers could combine mathematical knowledge and mathematical ideas, transfer them to examples and exercises in textbooks, and then apply them to consolidating exercises. They could even transfer them to secondary school mathematics learning. Thus, they could permeate mathematical ideas into their teaching for a long time, teach students how to learn, how to think, and improve their mathematical attainment. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

Primary school mathematics teachers 'professional research included many aspects: ** 1. Study of educational theory ** 1. ** Reading professional books and information ** - He should widely read educational and teaching books, such as "New Course Standard","Primary School Teaching","Listening to Famous Teachers 'Lectures","Suggestion to Teachers" and other relevant materials, take notes carefully, deeply study the new teaching materials, new curriculum standards, study teaching methods, experience the new curriculum concept, and improve professional ability. 2. ** Pay attention to the latest education reform information ** - Through teachers 'personal self-study, online learning, and other methods, they could learn the most cutting-edge teaching reform information in a timely manner, constantly update their education and teaching concepts, enrich their education and teaching theories, and improve their theoretical level and teaching and research level. ** 2. Teaching practice improvement ** 1. ** Research and demonstration of classroom teaching ** - They should actively practice the new ideas of the curriculum reform and carry out classroom teaching research activities around "effective and efficient classroom teaching". For example, he would take the initiative to hold a good seminar class, seriously carry out efficient classroom teaching demonstration activities, and let the teaching discussion enter the classroom. - In classroom teaching, we should pay attention to innovative teaching methods. For example, some teachers guided students to understand mathematical concepts in practical operations by designing situation problems that were close to students 'lives. For example, Shen Chuancheng guided students to understand the concepts of translation and rotation through hand gestures and watching animations. Some teachers would draw on the students' existing learning experience. For example, Zhang Baoqin drew on the students 'research experience on rectangular areas to help students understand the nature of the measurement of the area of a quadrilateral. - The classroom exercises could be divided into different levels, such as basic questions (compulsory questions), intermediate questions (choice questions), and expansion questions (thinking questions) to meet the needs of students at different levels. In the classroom, they could also use methods such as "poor students perform, middle students correct, and excellent students solve problems" to improve the efficiency of classroom teaching. 2. ** Pay attention to students of different levels ** - We should pay attention to the backward students and use the "one to one" method to improve the quality of education and promote the cultivation of good habits of students. For example, in the work of making up for mistakes, they could use their spare time and the eighth class to tutor students in different situations. When arranging seats, they insisted on forming pairs of "good and bad deskmates"(soldiers teaching soldiers). ** 3. Exchange and sharing of teaching experience ** 1. ** Participating in teaching and research activities and evaluations ** - To actively participate in the school's teaching and research activities, such as once every two weeks. During the teaching and research activities, they would evaluate their colleagues 'lessons and learn from each other. For example, in some teaching and research activities, the teachers would evaluate a certain class. For example, Teacher Liu Yuanzhen would point out the innovation of guiding students to understand mathematical concepts in practical operation; Teacher Zhang Hongli would affirm the teacher's attention to the implementation of the curriculum standards and other aspects, and then evaluate and reconstruct the class. - Participating in the themed class evaluation and sharing teaching experience. For example, Teacher Liu Ningning shared her teaching experience from three aspects: reverence, cultivating students 'good habits, and knowledge combing. 2. ** Proposition Research ** - He had to study the primary school mathematics proposition in depth and make it clear that the proposition needed to reflect the core quality of mathematics, so as to play the role of promoting learning and teaching through evaluation. It was necessary to combine the evaluation system of the college entrance examination and the development direction of the high school entrance examination to study the relationship between the performance, content, and proposition of the core quality. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following is a summary of the research report on real-time feedback in mathematics classrooms: ** 1. Research background ** 1. ** Elementary math class ** - In the context of curriculum reform, curriculum implementation is the key to the reform, and effective classroom teaching evaluation is of great significance to the improvement of teachers 'teaching standards. For the junior mathematics teaching, the classroom teaching evaluation and evaluation standards are closely related, and some teachers have not been able to internalize the new curriculum concept well in practice. The "instant evaluation" link has an important impact on the classroom generation. 2. ** Middle school math class ** - Under the new curriculum reform, teachers 'teaching philosophy and behavior had changed. The teaching model had become more open and flexible, and students' autonomy had become prominent. However, there were problems in the traditional teaching feedback method, such as the lack of individual differences and the standardized answers, which led to students not being able to fully express their thoughts. Moreover, the traditional method of waiting for feedback after the homework was marked was not time-efficient. As students 'horizons were constantly broadened and their comprehension ability was improved, it was necessary to introduce real-time feedback in the classroom to better teach students according to their aptitude and adjust teaching strategies in time. 3. ** Junior high school mathematics class under the live webcast teaching ** - Under the new teaching mode of webcast teaching, there was also a need for classroom evaluation and feedback strategy research, which reflected the trend of educational research that kept pace with the times. ** 2. Meaning ** 1. ** Theoretically significant ** - In the elementary school mathematics classroom, different immediate evaluations reflect different teaching cultures. Studying the immediate evaluation behavior of the elementary school mathematics teachers is of great significance to examine whether the students 'development is the foundation, pay attention to the students' learning ability, and build a new classroom. It can provide a perspective for the internalization of teaching ideas into the teacher's self-consciousness. 2. ** Practicality ** - In the lower grade mathematics class, through the study of teachers 'immediate evaluation behavior, it can provide reference, reference and operation tools for teachers to grasp the classroom generation and realize the growth of classroom teaching. In the middle school mathematics class, effective real-time feedback could find the confusion of students in time, and timely guidance could help students break through obstacles, improve teaching effectiveness, and adapt to individual differences. ** 3. Strategy (Part of the information is related)** In the middle school mathematics class, clever questioning was an important immediate feedback teaching strategy. Through reasonable classroom questions, students could be inspired to think effectively, stimulate their enthusiasm for learning mathematics, understand the actual results of students learning mathematics knowledge, and thus correct the classroom teaching plan in time to improve the quality of teaching. ** IV. Impact of the teaching model change ** From the nine provinces 'joint exam mathematics reform, mathematics teaching was constantly changing. The college entrance exam mathematics had a trend of reducing the number of questions and strengthening the investigation of thinking. This might also affect the direction of real-time feedback in the mathematics classroom, such as paying more attention to feedback on the thinking process. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

Reflection on primary school mathematics textbook research can be written from the following aspects: ** 1. Teaching content processing ** 1. ** Grasp the Difficulties ** - Clearly identify the important and difficult knowledge in the teaching materials. For example, problems like fraction multiplication and division and the surface area and volume of a cuboid might be difficult in fifth grade textbooks. For difficult and important knowledge, he had to think about how to effectively teach it. For example, the teaching of the meaning of fraction multiplication could be compared with the teaching of integral multiplication to help students understand the two meanings. The teaching of the surface area and volume of cuboids could focus on the students 'operational activities. For example, in the teaching of volume units, the students would first use a 1 cubic centimeter cube to place 1 cubic decimeter. After intuitively sensing the rate of advance, they would calculate and prove it. Finally, the rate of advance of other volume units could be inferred. 2. ** Impact of the increase or decrease in teaching materials ** - Consider the adjustments to the content of the new teaching materials, such as the changes in the application question system. The new textbook reduced the number of chapters on application questions. Although it reduced the teaching burden, it also brought some problems. For example, the students 'ability to solve problems might decrease because there was no arrangement system for application questions. It was not convenient for students to organize and review and form a solution strategy. Teachers needed to think about how to cultivate students 'ability to solve practical problems in the absence of a complete system of applied problems in the new textbooks. For example, how to effectively teach applied problems that were closely related to life but not included in the textbooks (such as odometer, water meter, electric meter reading, etc.). 3. ** The continuity and systematic nature of knowledge ** - Pay attention to the continuity of the knowledge in the teaching materials. For example, in the calculation teaching part, from basic knowledge to basic skills, basic ideas, and other aspects of the continuity. If there were changes in the teaching content of the computing course, such as the change from "two bases" to "four bases and four abilities", the teacher should think about how to reflect this continuity in the teaching, how to permeate the basic ideas in the teaching, and how to use the teaching materials to let the students obtain basic life experience. ** 2. Teaching methods ** 1. ** Combination of traditional and modern teaching methods ** - In the teaching of calculation, it was necessary to consider whether the traditional teaching of calculation rules should be retained. Although the new curriculum had the concept of diverse algorithms, the basic calculation rules were still helpful for students to master the methods of vertical and horizontal calculation. Traditional teaching methods should not be completely abandoned because of new ideas. Instead, they should be able to combine the variety of algorithms and computational principles. For example, for young teachers who were unfamiliar with the calculation rules, they could ask the old teachers for advice or study the arrangement in the old teaching materials. 2. ** The effectiveness of diverse teaching methods ** - As for new teaching methods, such as group cooperative learning, it was necessary to consider their effectiveness in actual teaching. They could not cooperate for the sake of cooperation. For example, not all problems were suitable for group discussion. According to the teaching content and goal, cooperative learning should be used reasonably to ensure that it really helps students learn mathematics knowledge and improve their ability. 3. ** The application of situation teaching ** - Think about the rationality of the situation. Setting up a situation should not only attract students 'attention, but also serve mathematics learning. For example, when creating a situation, one should follow the principles of stimulating the consciousness of mathematics problems, promoting the effective achievement of mathematics teaching goals, and reasonably selecting the situation materials. Non-mathematical factors should not be allowed to interfere with mathematics learning. For example, in some calculation teaching, the story situation should be able to guide students to think about the steps and methods of mathematical calculation. 4. ** Review and Consolidating Method ** - He could consider the effectiveness of the review method. For example, in rural schools, the advantage of having sufficient class time was used to use continuous short-term review to guide students to organize and review the unit knowledge in the mathematics tabloids. ** 3. Student learning ** 1. ** The needs of students of different levels ** - Considering the learning situation of students at different levels, for example, in the teaching of the variety and optimization of algorithms, he had to think about how to promote the development of "students with learning difficulties." When there were multiple algorithms for a calculation problem, the "students with learning difficulties" might choose the easiest but more complicated method. At this time, teachers could not blindly emphasize the optimization algorithm. They had to think about how to help the "students with learning difficulties" improve their computational ability and mathematical thinking on the basis of respecting the students 'individual choices. 2. ** Cultivating students 'abilities ** - Thinking about how to cultivate students 'various abilities in the content of teaching materials and teaching methods, such as how to cultivate students' ability to analyze and solve practical problems when the new teaching materials lack the system of applied questions, and how to cultivate students 'spatial concept and logical thinking ability through operational activities and situation creation in teaching. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>

The following are some classroom theoretical research methods for improving thinking ability in elementary school mathematics: ** 1. Cultivate interest and stimulate thinking ** 1. ** Carefully designed course introduction ** - Teachers should carefully design the introduction of each class, through the creation of situations, setting suspense and other ways to make the course vivid and vivid, so as to stimulate the students 'internal learning motivation. For example, interesting mathematical stories and mathematical phenomena in daily life could be used to draw out the content of the course, so that students would be interested in what they were learning and would be willing to use their brains to think. 2. ** Independent thinking and expression are encouraged ** - Students were encouraged to think independently and to express different opinions. This was because interest was the best teacher for learning. When students became interested in mathematics, they would be more actively involved in thinking activities. ** 2. Focus on methods and inspire thinking ** 1. ** Stressed on theoretical foundation and skill learning ** - A solid theoretical foundation and basic skills were the prerequisites for cultivating mathematical thinking. The basic concepts and basic theorem in mathematics textbooks were the foundation of operations and reasoning. Only by letting students accurately understand these contents could they lay a foundation for improving their mathematical thinking ability. 2. ** Exploring solution methods and breakthroughs ** - In teaching, one should explore the methods of analyzing problems and the breakthrough points to solve problems with the students, and avoid spoon-feeding. Teachers should guide students to learn to see the essence through phenomena, think about problems in all directions, and develop the habit of tracing back to the source. For example, in terms of improving the speed and quality of solving problems, teachers had to guide students to understand the basic concepts and principles in the textbook, so as to improve the speed of calculation while ensuring accuracy. 3. ** Cultivate the habit of multi-dimensional thinking ** - To enhance the multi-dimensional nature of teaching and provide students with a wide range of thinking space. When solving a problem, guide the students to consider the problem from a variety of perspectives and establish their own solution. When students learn to flexibly use the knowledge in and out of class, they can gradually develop the habit of thinking independently. In addition, teachers should inspire students to think more and ask questions, guide students to summarize the methods and techniques used in the process of solving problems, analyze different solutions to the same question type, and cultivate creative thinking. ** 3. Exploring rules and cultivating logical thinking ** 1. ** Guiding independent exploration and induction ** - In the process of mathematics teaching, it was important to make students aware of the results of mathematical activities, but the process and regularity of obtaining the results were more important. Teachers should encourage students to actively explore and discover mathematical laws because induction was the foundation of thinking. With the improvement of the students 'ability to summarize, the teacher should assign a higher level of summary tasks to gradually improve the students' ability to summarize. ** 4. Strengthening the systematic and complete knowledge, improving the cohesiveness and rigor of thinking ** 1. ** Strengthening the system of knowledge and improving the strictness of thinking ** - It gave the students a way to think about problems and prevented them from thinking blindly. For example, when teaching the area of a triangle, the students would review the knowledge of mixing operations, the area of a rectangular and a quadrilateral. This was because comprehensive questions required students to have a systematic knowledge and rigorous thinking. Many students made mistakes because their basic computing ability was not strong, and they were not clear about the concept and formula derivation process. 2. ** Pay attention to the completeness of knowledge and improve the cohesiveness of thinking ** - In daily teaching, students should be trained to have the habit of independent thinking, cultivate rigorous thinking ability, and strengthen the training of students '"interconnected" thinking process. For example, carefully planning classroom teaching to let every student truly participate in the progress of classroom thinking; designing activities or choosing representative error-prone questions to let students carry out purposeful practice; also allowing students to tell the whole process of thinking about the problem; aiming at important knowledge points through homework or small tests to let students practice repeatedly to improve the proficiency and accuracy of the questions. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>