Lecture on computing power
Publish: 2021-04-08 15:23:26
1. I bought very high ones,
2. The research of this problem should be based on experiments. You can find some people to do experiments, let one group calculate the same problem with pen, and the other group calculate the same problem with calculator. Look at the speed results of the two, calculate more problems, and find more people to expand the sample size and increase the reliability of the test results
intuitively, it seems that using a calculator is bound to improve the user's computing ability, but in fact, the result is not certain. I remember that when I was in the second grade of junior high school, I competed with my classmates for a series of continuous calculations. I used a pen and they used a calculator to see who would finish the calculation first. As a result, I finished the calculation first, but my classmates pressed the wrong number keys on the calculator many times, And the calculator display is not intuitive enough, leading to repeated rework, but slower than my calculation. It can be seen that whether a calculator can improve a person's computing ability is related to the accuracy and speed of key pressing of the calculator, the contrast between them and the user's written calculation ability, and the complexity of the problem itself
Senior Two students should have learned the least square method. You can establish the corresponding regression line for research, such as establishing the regression relationship between a person's computing speed and his proficiency in using the calculator. Of course, the specific research steps still need to be designed by yourself.
intuitively, it seems that using a calculator is bound to improve the user's computing ability, but in fact, the result is not certain. I remember that when I was in the second grade of junior high school, I competed with my classmates for a series of continuous calculations. I used a pen and they used a calculator to see who would finish the calculation first. As a result, I finished the calculation first, but my classmates pressed the wrong number keys on the calculator many times, And the calculator display is not intuitive enough, leading to repeated rework, but slower than my calculation. It can be seen that whether a calculator can improve a person's computing ability is related to the accuracy and speed of key pressing of the calculator, the contrast between them and the user's written calculation ability, and the complexity of the problem itself
Senior Two students should have learned the least square method. You can establish the corresponding regression line for research, such as establishing the regression relationship between a person's computing speed and his proficiency in using the calculator. Of course, the specific research steps still need to be designed by yourself.
3. One is to practice more and do more questions. The other is to master the simple skills of calculation, such as digit addition and subtraction. The other is to be familiar with the formula of multiplication and some commonly used square numbers.
4. 1、 From the perspective of the demand for talents in modern society. Since the 1990s, the change of social life style and the rapid development of science and technology have posed new challenges to every member of society. The concept and strategy of sustainable development require every member of society to have the desire and ability of lifelong development, and the ability to acquire new knowledge independently
2. From the development trend of the new round of curriculum reform in China The outline of basic ecation curriculum reform (Trial Implementation) puts forward the task of changing students' learning style, advocating the learning style of autonomy, cooperation and inquiry, and the real cooperative learning and inquiry learning must be autonomous learning. Therefore, advocating autonomous learning has become the primary task of changing students' learning style. From the relationship between teaching and learning. Teaching methods determine learning methods, and students' autonomous learning cannot do without the guidance of teachers. Therefore, it is of great practical significance to study the guiding strategies to promote students' autonomous learning
3. From the current problems in classroom teaching. The traditional way of learning is based on human's objectivity, passivity and dependence, which leads to the erosion of human's subjectivity, initiative and independence. For a long time, classroom teaching has followed the teaching mode of full room filling and full room asking, which makes students' learning become a kind of passive behavior and other control behavior under external force. Students often study and do their homework in a blind and "selfless" state, and rarely engage in completely self-control learning activities on their own. This kind of passive learning, which lacks initiative and consciousness, completely loses the long-term value and significance of promoting the growth and development of the subject. From the relationship between guidance and autonomy. Traditional ecation attaches too much importance to the leading role of teachers, teachers lead more, students are always in a passive position; Since the implementation of quality ecation, it is strongly advocated to play the main role of students, and teachers dare not give more guidance. Therefore, how to correctly understand the relationship between guidance and autonomy is very important to promote quality ecation
4. From the development of the school itself. In the past three years, our school has carried out the research on the project of independent innovation ecation, which has created a harmonious campus humanistic environment, triggered students' subjective consciousness, and formed an atmosphere of teachers' dedicated teaching and research. In order to further deepen the achievements of ecation and scientific research and strengthen the connection of subjects, this paper puts forward the research of this subject< Second, the definition of the subject
"autonomous learning" is a concept opposite to "other learning", which is a summary of the essence of learning and a high-quality and high-quality learning. Generally speaking, it refers to the process or ability of learning subject to consciously determine learning objectives, make learning plans, choose learning methods, monitor learning process and evaluate learning results under teaching conditions
"guidance" is a purposeful, planned, organized, step-by-step and instructive training activity for students, which focuses on providing help and guidance to the ecated
"strategy" refers to a series of specific problem-solving behaviors adopted by teachers to achieve teaching objectives or teaching intentions
the purpose of this project is to study the guidance strategies to promote primary school students' autonomous learning, so as to wake up the awareness of primary school students' autonomous learning, cultivate their autonomous learning ability, autonomous learning habits and autonomous learning quality< Third, the goal of the research
1
2. Primary school students' awareness of autonomous learning has been enhanced, their ability of autonomous learning has been improved, their habit of autonomous learning and the quality of autonomous learning have been cultivated< (1) theoretical basis
1. Subjectivity development ecation is an important thought of Marxist philosophy. According to Marxism, human activity, that is, subject activity, is a process in which indivials consciously interact with objects. Only through the activities of the subject, can man act on the objective world, actively understand the objective facts, and improve the development and perfection of man himself in this process. 2. The integrated constructivist theory holds that knowledge is not passively accepted, but actively constructed by cognitive subjects. Construction is realized through the interaction of new and old experiences. Students have specific natural endowments, live in a specific natural society and family environment, receive different cultural influence, and proce different life experience, knowledge accumulation, thinking habits and cognitive structure. We should attach importance to learners' previously constructed knowledge and experience, and take learners' existing knowledge as the growth point of new knowledge< (2) theoretical hypothesis
through the study of guiding strategies to promote primary school students' autonomous learning, we can wake up the awareness of primary school students' autonomous learning, help primary school students understand themselves, evaluate themselves, and consciously adjust themselves in learning interaction; It can help students deepen their perception, imagination, thinking and creativity, so that they can be aware of their role and value at any time, release their life potential and learn to learn< Independent learning is not only the need to adapt to social development, but also the need of self-development of ecation, but also the need of lifelong learning and development of the new generation of talents
2. The research of independent innovation ecation lays the foundation for the research. Therefore, the research of this subject has a good school foundation
3. The researchers involved in this project are district teaching experts and teaching rookies, who have strong ecation and scientific research ability and rich teaching experience< Six, research content
1, research the specific objectives of primary school students' autonomous learning
2. Study the guiding strategies to promote the formation of pupils' self-learning awareness, self-learning ability, self-learning habits and self-learning quality< 7. Implementation ideas, operation principles and research methods
1. Implementation ideas
as the general topic of the guidance area, all teachers participate in the research. According to the different age characteristics of primary school students, it is divided into three gradients: low, middle and high. The center takes the teaching and research group as the unit, and the village school takes the school as the unit to explore. At the same time, it is necessary to highlight the key research points and grasp the two key disciplines of Chinese and mathematics. In the process of implementation, firstly, we should renew teachers' ecational ideas and enhance their awareness of good guidance; Secondly, the focus of guidance should be placed in class, and close contact with extracurricular< In order to ensure the smooth progress of the study, the following principles must be followed:
(1) the principle of autonomy. Teachers should choose the research content according to the project plan and their own reality, and carry out the research creatively. Teachers should pay attention to students' subjective consciousness, so that students have more opportunities to activities, experience and even create
(2) difference principle. There are indivial differences among the ecated, which are caused by the differences in innate conditions, environmental influences and ecational conditions. These differences determine that ecation should not only require different indivials to achieve a unified ecational goal, but should teach students in accordance with their aptitude, so that each ecatee can develop on his own original basis< (3) the principle of cooperation between teachers and students
teaching is the unity of teachers' teaching and students' learning, the essence of which is communication. Therefore, modern teaching theory points out that the teaching process is a process of communication, positive interaction and common development between teachers and students. The traditional strict sense of teachers' teaching and students' learning will give way to teachers' and students' mutual teaching and learning, forming a "learning community" with each other< (4) the principle of overall development. We should regard classroom teaching and all aspects of students' physical and mental quality as an interrelated development whole, so that classroom teaching, society, family and students' life form a collaborative whole. Teaching aims at the sustainable development of students' overall quality
(5) reflective principle. Reflection is the ability to review the work that has been done, grasp the established goals and progress, put forward improvement plans, and apply the knowledge learned from teaching or from others. In the experiment, teachers should have the consciousness of reflection and constantly reflect on their guiding behavior
3. Research methods
this study mainly adopts action research method, case study method, experience screening method and investigation method
(1) action research method. Make a plan before the research, practice the plan ring the research, observe the students' reaction, observe the effect after the research, reflect on the teaching activities and improve the teaching activities. The research period can be long or short, the scope can be large or small, and the researchers can be indivials or groups. Every research should have four links: planning, practice, observation and reflection. This method is suitable for the preparation and implementation of the project
(2) case study method. Teachers record typical cases in the process of research, analyze and reflect. This method is suitable for the implementation stage of the project
(3) empirical screening. Collect and sort out the research materials, screen out the useful and eliminate the useless, and then summarize and refine the useful materials. This method is suitable for the summary stage of research< (4) investigation method. Using interview, discussion, questionnaire, general statistics and other methods to understand and master the research situation. This method is suitable for the whole process of the research< 8. Research steps
1. Preparation stage (2004.10-2005.1)
objectives:
(1) formulate research plan, apply for project, start argumentation and revise project plan
(2) collect information about autonomous learning at home and abroad to understand the progress of autonomous learning research
(3) according to the requirements of the new curriculum standards and teaching materials, combined with the research results of the school's original project "independent innovation ecation", the preset goals of students' autonomous learning in each stage are formed
(4) carry out investigation and research to find out the original situation of autonomous learning of students in each period, and determine several supporting points of this research according to the preset goal of autonomous learning and the research situation of autonomous learning at home and abroad
(5) members of the research group and sub project leaders are trained, and the sub project leaders make sub project research plans< 2. Implementation stage (2005.2-2006.6)
objectives:
(1) point experiment: how to guide primary school students' autonomous learning and what are the guiding strategies to promote primary school students' autonomous learning; How to understand the relationship between guidance and autonomy; Are there any basic rules and principles that can be followed in the process of changing from other centered learning to autonomous learning
(2) tracing investigation: to find out what factors affect students' autonomous learning and how to deal with them
(3) verification research: in practice, the goal of primary school students' autonomous learning is constantly verified and revised
(4) mid term review of the project
2. From the development trend of the new round of curriculum reform in China The outline of basic ecation curriculum reform (Trial Implementation) puts forward the task of changing students' learning style, advocating the learning style of autonomy, cooperation and inquiry, and the real cooperative learning and inquiry learning must be autonomous learning. Therefore, advocating autonomous learning has become the primary task of changing students' learning style. From the relationship between teaching and learning. Teaching methods determine learning methods, and students' autonomous learning cannot do without the guidance of teachers. Therefore, it is of great practical significance to study the guiding strategies to promote students' autonomous learning
3. From the current problems in classroom teaching. The traditional way of learning is based on human's objectivity, passivity and dependence, which leads to the erosion of human's subjectivity, initiative and independence. For a long time, classroom teaching has followed the teaching mode of full room filling and full room asking, which makes students' learning become a kind of passive behavior and other control behavior under external force. Students often study and do their homework in a blind and "selfless" state, and rarely engage in completely self-control learning activities on their own. This kind of passive learning, which lacks initiative and consciousness, completely loses the long-term value and significance of promoting the growth and development of the subject. From the relationship between guidance and autonomy. Traditional ecation attaches too much importance to the leading role of teachers, teachers lead more, students are always in a passive position; Since the implementation of quality ecation, it is strongly advocated to play the main role of students, and teachers dare not give more guidance. Therefore, how to correctly understand the relationship between guidance and autonomy is very important to promote quality ecation
4. From the development of the school itself. In the past three years, our school has carried out the research on the project of independent innovation ecation, which has created a harmonious campus humanistic environment, triggered students' subjective consciousness, and formed an atmosphere of teachers' dedicated teaching and research. In order to further deepen the achievements of ecation and scientific research and strengthen the connection of subjects, this paper puts forward the research of this subject< Second, the definition of the subject
"autonomous learning" is a concept opposite to "other learning", which is a summary of the essence of learning and a high-quality and high-quality learning. Generally speaking, it refers to the process or ability of learning subject to consciously determine learning objectives, make learning plans, choose learning methods, monitor learning process and evaluate learning results under teaching conditions
"guidance" is a purposeful, planned, organized, step-by-step and instructive training activity for students, which focuses on providing help and guidance to the ecated
"strategy" refers to a series of specific problem-solving behaviors adopted by teachers to achieve teaching objectives or teaching intentions
the purpose of this project is to study the guidance strategies to promote primary school students' autonomous learning, so as to wake up the awareness of primary school students' autonomous learning, cultivate their autonomous learning ability, autonomous learning habits and autonomous learning quality< Third, the goal of the research
1
2. Primary school students' awareness of autonomous learning has been enhanced, their ability of autonomous learning has been improved, their habit of autonomous learning and the quality of autonomous learning have been cultivated< (1) theoretical basis
1. Subjectivity development ecation is an important thought of Marxist philosophy. According to Marxism, human activity, that is, subject activity, is a process in which indivials consciously interact with objects. Only through the activities of the subject, can man act on the objective world, actively understand the objective facts, and improve the development and perfection of man himself in this process. 2. The integrated constructivist theory holds that knowledge is not passively accepted, but actively constructed by cognitive subjects. Construction is realized through the interaction of new and old experiences. Students have specific natural endowments, live in a specific natural society and family environment, receive different cultural influence, and proce different life experience, knowledge accumulation, thinking habits and cognitive structure. We should attach importance to learners' previously constructed knowledge and experience, and take learners' existing knowledge as the growth point of new knowledge< (2) theoretical hypothesis
through the study of guiding strategies to promote primary school students' autonomous learning, we can wake up the awareness of primary school students' autonomous learning, help primary school students understand themselves, evaluate themselves, and consciously adjust themselves in learning interaction; It can help students deepen their perception, imagination, thinking and creativity, so that they can be aware of their role and value at any time, release their life potential and learn to learn< Independent learning is not only the need to adapt to social development, but also the need of self-development of ecation, but also the need of lifelong learning and development of the new generation of talents
2. The research of independent innovation ecation lays the foundation for the research. Therefore, the research of this subject has a good school foundation
3. The researchers involved in this project are district teaching experts and teaching rookies, who have strong ecation and scientific research ability and rich teaching experience< Six, research content
1, research the specific objectives of primary school students' autonomous learning
2. Study the guiding strategies to promote the formation of pupils' self-learning awareness, self-learning ability, self-learning habits and self-learning quality< 7. Implementation ideas, operation principles and research methods
1. Implementation ideas
as the general topic of the guidance area, all teachers participate in the research. According to the different age characteristics of primary school students, it is divided into three gradients: low, middle and high. The center takes the teaching and research group as the unit, and the village school takes the school as the unit to explore. At the same time, it is necessary to highlight the key research points and grasp the two key disciplines of Chinese and mathematics. In the process of implementation, firstly, we should renew teachers' ecational ideas and enhance their awareness of good guidance; Secondly, the focus of guidance should be placed in class, and close contact with extracurricular< In order to ensure the smooth progress of the study, the following principles must be followed:
(1) the principle of autonomy. Teachers should choose the research content according to the project plan and their own reality, and carry out the research creatively. Teachers should pay attention to students' subjective consciousness, so that students have more opportunities to activities, experience and even create
(2) difference principle. There are indivial differences among the ecated, which are caused by the differences in innate conditions, environmental influences and ecational conditions. These differences determine that ecation should not only require different indivials to achieve a unified ecational goal, but should teach students in accordance with their aptitude, so that each ecatee can develop on his own original basis< (3) the principle of cooperation between teachers and students
teaching is the unity of teachers' teaching and students' learning, the essence of which is communication. Therefore, modern teaching theory points out that the teaching process is a process of communication, positive interaction and common development between teachers and students. The traditional strict sense of teachers' teaching and students' learning will give way to teachers' and students' mutual teaching and learning, forming a "learning community" with each other< (4) the principle of overall development. We should regard classroom teaching and all aspects of students' physical and mental quality as an interrelated development whole, so that classroom teaching, society, family and students' life form a collaborative whole. Teaching aims at the sustainable development of students' overall quality
(5) reflective principle. Reflection is the ability to review the work that has been done, grasp the established goals and progress, put forward improvement plans, and apply the knowledge learned from teaching or from others. In the experiment, teachers should have the consciousness of reflection and constantly reflect on their guiding behavior
3. Research methods
this study mainly adopts action research method, case study method, experience screening method and investigation method
(1) action research method. Make a plan before the research, practice the plan ring the research, observe the students' reaction, observe the effect after the research, reflect on the teaching activities and improve the teaching activities. The research period can be long or short, the scope can be large or small, and the researchers can be indivials or groups. Every research should have four links: planning, practice, observation and reflection. This method is suitable for the preparation and implementation of the project
(2) case study method. Teachers record typical cases in the process of research, analyze and reflect. This method is suitable for the implementation stage of the project
(3) empirical screening. Collect and sort out the research materials, screen out the useful and eliminate the useless, and then summarize and refine the useful materials. This method is suitable for the summary stage of research< (4) investigation method. Using interview, discussion, questionnaire, general statistics and other methods to understand and master the research situation. This method is suitable for the whole process of the research< 8. Research steps
1. Preparation stage (2004.10-2005.1)
objectives:
(1) formulate research plan, apply for project, start argumentation and revise project plan
(2) collect information about autonomous learning at home and abroad to understand the progress of autonomous learning research
(3) according to the requirements of the new curriculum standards and teaching materials, combined with the research results of the school's original project "independent innovation ecation", the preset goals of students' autonomous learning in each stage are formed
(4) carry out investigation and research to find out the original situation of autonomous learning of students in each period, and determine several supporting points of this research according to the preset goal of autonomous learning and the research situation of autonomous learning at home and abroad
(5) members of the research group and sub project leaders are trained, and the sub project leaders make sub project research plans< 2. Implementation stage (2005.2-2006.6)
objectives:
(1) point experiment: how to guide primary school students' autonomous learning and what are the guiding strategies to promote primary school students' autonomous learning; How to understand the relationship between guidance and autonomy; Are there any basic rules and principles that can be followed in the process of changing from other centered learning to autonomous learning
(2) tracing investigation: to find out what factors affect students' autonomous learning and how to deal with them
(3) verification research: in practice, the goal of primary school students' autonomous learning is constantly verified and revised
(4) mid term review of the project
5. Do more questions, do more children are interested in, you can use timing, games and other ways to help, attract him. You can also see if there are similar classes for quick calculation and abacus. Children are interested in learning together.
6. 1、 To have a sense of responsibility
Tolstoy once said: "if a person does not have enthusiasm, he will accomplish nothing, and the basis of enthusiasm is the sense of responsibility." Responsibility ecation is also the key research topic of our Nanping experimental primary school. If a teacher lacks a high sense of responsibility for students, parents, school and society, it is impossible to improve the quality of teaching< Second, establish a good relationship between teachers and students
only by establishing a good relationship between teachers and students can teaching be beneficial. The so-called "Pro teacher, believe its way", only students like the teacher, will very like to listen to the teacher, will like mathematics class, will seriously complete the homework assigned by the teacher, will improve the quality of teaching
Third, cultivate students' ten good habits
ten habits that primary school students need to cultivate are: the habit of asking questions; The habit of careful observation; The habit of thinking from different angles; The habit of actively discussing and boldly expressing one's own opinions; The habit of judging teachers and teaching materials; The combination of hand and brain, the habit of bold attempt; The habit of collecting and processing information; The habit of studying and solving problems independently; The habit of association and imagination and the habit of organizing knowledge and personality inction
in teaching, we should pay attention to the cultivation of non intellectual factors, guide and train students' down-to-earth and serious learning attitude, so that students can graally form good learning habits, and pay attention to the cultivation of students' learning ability, so that students can learn to learn and benefit for life< Fourth, stimulate students' interest in learning
interest is the best teacher. Successful teaching needs not coercion, but stimulating students' interest. Teaching with pleasure, learning with pleasure. How to make students interested in abstract and boring mathematical knowledge< br />① 、 To arouse students' curiosity, we should use the method of setting questions and creating situations. In the new class, we can make appropriate changes to the examples and put them in the situations that students are more interested in, so that students can feel meaningful and useful. Students will be particularly interested in doing such questions< br />② 、 Teach students the way of thinking, open up the idea of solving problems, so that students believe in their intelligence in the discovery of solutions, taste the interest of learning< br />③ 、 Let students try the joy of success, stimulate interest in learning. It is necessary to classify and carefully design assignments so that students of different intellectual levels can succeed and make progress in success. Simple questions can be asked middle and lower level students, some difficult questions can be asked other students, this will help students build confidence
there are many ways for teachers to cultivate students, but the most important thing is to cultivate students' interest, that is, students' thirst for knowledge. Only when students are interested in learning, can they mobilize students' awareness of participation, learning enthusiasm and initiative, so as to improve the quality of teaching
in normal teaching, we should achieve "three belts, three no's" and "three patience":
"three belts": walk into the classroom with a smile; Bring encouragement into the classroom; Bring competition into the classroom
"three no": no complaint; No sarcasm or sarcasm; Don't say things that are not good for students
"three patience": guiding students patiently; Help students patiently; Wait patiently for students' thinking feedback information
fifthly, pay attention to the cultivation of students' computing ability
computational ability is accumulated for a long time by teachers' repeated training and students' own hard practice. All kinds of exercises also play an important role in consolidating students' knowledge< br />① 、 Strengthen the training of oral arithmetic to lay a good foundation for improving students' basic computing ability. Insist on three minutes of oral arithmetic practice before class every day, and seriously correct the students' oral arithmetic practice, and let the students correct their mistakes in time. In this way, we should keep practicing and accumulate over time, so as to lay a good foundation for improving students' computing ability< br />② 、 Combined with the textbook, some necessary calculation exercises are added. According to the characteristics of the teaching content, add some necessary calculation exercises every day to improve the students' calculation ability, or all kinds of basic calculation exercises and some basic thinking calculation supplementary homework. Daily regular, quantitative, planned practice, not only does not increase the burden of students' schoolwork, in the old knowledge can be consolidated at the same time, but also makes students' computing ability to be cultivated and improved, so that students can graally improve their computing ability< br />③ 、 Reasonable use of synchronous exercise book consolidation or comprehensive practice, timely consolidate students' knowledge. Because the primary school students' ability to consolidate knowledge and comprehensive ability are relatively weak, so make full use of a large number of exercises in the synchronous exercise book, on the one hand, let students consolidate old knowledge in time, on the other hand, promote the development of students' comprehensive ability. On the basis of the correct understanding of the knowledge, the students can apply the mathematical knowledge to analyze and solve problems, so as to promote the development of the students' ability of comprehensive use of knowledge< Sixth, we should pay attention to the design and correction of homework. Homework can not be arbitrary, should be combined with the content of the day, the choice of content, not just the repetition of examples, although most of the students can do this, but lack of flexibility and thinking, there is no opportunity to exercise for students who have a faster reaction. Don't assign the homework done in the classroom, we must batch the homework carefully, find problems and give feedback in time, so as to achieve the effect of classroom teaching
7 Open minded learning, timely summary and reflection
e to the needs of the profession, teachers should be lifelong learners. The famous American ecational psychologist Posner proposed a teacher growth formula: growth = experience + reflection. The ancients said: "action is accomplished by thinking and destroyed by following." As long as we act, we will gain; As long as the aftertaste and reflection, there will be improvement and development. Only by constant reflection can we find our own shortcomings; Only by continuous reflection, can we find problems and find solutions, so as to continuously improve the quality of ecation and teaching. Therefore, teaching reflection is not only an important way for teachers to improve their professional level, but also the key to their growth
in short, if we have a strong sense of responsibility, establish a good relationship between teachers and students, strive to cultivate students' interests and hobbies in mathematics, and optimize classroom teaching methods, we believe that the quality of mathematics teaching will be graally improved
if you don't understand, please continue to ask. Thank you
Tolstoy once said: "if a person does not have enthusiasm, he will accomplish nothing, and the basis of enthusiasm is the sense of responsibility." Responsibility ecation is also the key research topic of our Nanping experimental primary school. If a teacher lacks a high sense of responsibility for students, parents, school and society, it is impossible to improve the quality of teaching< Second, establish a good relationship between teachers and students
only by establishing a good relationship between teachers and students can teaching be beneficial. The so-called "Pro teacher, believe its way", only students like the teacher, will very like to listen to the teacher, will like mathematics class, will seriously complete the homework assigned by the teacher, will improve the quality of teaching
Third, cultivate students' ten good habits
ten habits that primary school students need to cultivate are: the habit of asking questions; The habit of careful observation; The habit of thinking from different angles; The habit of actively discussing and boldly expressing one's own opinions; The habit of judging teachers and teaching materials; The combination of hand and brain, the habit of bold attempt; The habit of collecting and processing information; The habit of studying and solving problems independently; The habit of association and imagination and the habit of organizing knowledge and personality inction
in teaching, we should pay attention to the cultivation of non intellectual factors, guide and train students' down-to-earth and serious learning attitude, so that students can graally form good learning habits, and pay attention to the cultivation of students' learning ability, so that students can learn to learn and benefit for life< Fourth, stimulate students' interest in learning
interest is the best teacher. Successful teaching needs not coercion, but stimulating students' interest. Teaching with pleasure, learning with pleasure. How to make students interested in abstract and boring mathematical knowledge< br />① 、 To arouse students' curiosity, we should use the method of setting questions and creating situations. In the new class, we can make appropriate changes to the examples and put them in the situations that students are more interested in, so that students can feel meaningful and useful. Students will be particularly interested in doing such questions< br />② 、 Teach students the way of thinking, open up the idea of solving problems, so that students believe in their intelligence in the discovery of solutions, taste the interest of learning< br />③ 、 Let students try the joy of success, stimulate interest in learning. It is necessary to classify and carefully design assignments so that students of different intellectual levels can succeed and make progress in success. Simple questions can be asked middle and lower level students, some difficult questions can be asked other students, this will help students build confidence
there are many ways for teachers to cultivate students, but the most important thing is to cultivate students' interest, that is, students' thirst for knowledge. Only when students are interested in learning, can they mobilize students' awareness of participation, learning enthusiasm and initiative, so as to improve the quality of teaching
in normal teaching, we should achieve "three belts, three no's" and "three patience":
"three belts": walk into the classroom with a smile; Bring encouragement into the classroom; Bring competition into the classroom
"three no": no complaint; No sarcasm or sarcasm; Don't say things that are not good for students
"three patience": guiding students patiently; Help students patiently; Wait patiently for students' thinking feedback information
fifthly, pay attention to the cultivation of students' computing ability
computational ability is accumulated for a long time by teachers' repeated training and students' own hard practice. All kinds of exercises also play an important role in consolidating students' knowledge< br />① 、 Strengthen the training of oral arithmetic to lay a good foundation for improving students' basic computing ability. Insist on three minutes of oral arithmetic practice before class every day, and seriously correct the students' oral arithmetic practice, and let the students correct their mistakes in time. In this way, we should keep practicing and accumulate over time, so as to lay a good foundation for improving students' computing ability< br />② 、 Combined with the textbook, some necessary calculation exercises are added. According to the characteristics of the teaching content, add some necessary calculation exercises every day to improve the students' calculation ability, or all kinds of basic calculation exercises and some basic thinking calculation supplementary homework. Daily regular, quantitative, planned practice, not only does not increase the burden of students' schoolwork, in the old knowledge can be consolidated at the same time, but also makes students' computing ability to be cultivated and improved, so that students can graally improve their computing ability< br />③ 、 Reasonable use of synchronous exercise book consolidation or comprehensive practice, timely consolidate students' knowledge. Because the primary school students' ability to consolidate knowledge and comprehensive ability are relatively weak, so make full use of a large number of exercises in the synchronous exercise book, on the one hand, let students consolidate old knowledge in time, on the other hand, promote the development of students' comprehensive ability. On the basis of the correct understanding of the knowledge, the students can apply the mathematical knowledge to analyze and solve problems, so as to promote the development of the students' ability of comprehensive use of knowledge< Sixth, we should pay attention to the design and correction of homework. Homework can not be arbitrary, should be combined with the content of the day, the choice of content, not just the repetition of examples, although most of the students can do this, but lack of flexibility and thinking, there is no opportunity to exercise for students who have a faster reaction. Don't assign the homework done in the classroom, we must batch the homework carefully, find problems and give feedback in time, so as to achieve the effect of classroom teaching
7 Open minded learning, timely summary and reflection
e to the needs of the profession, teachers should be lifelong learners. The famous American ecational psychologist Posner proposed a teacher growth formula: growth = experience + reflection. The ancients said: "action is accomplished by thinking and destroyed by following." As long as we act, we will gain; As long as the aftertaste and reflection, there will be improvement and development. Only by constant reflection can we find our own shortcomings; Only by continuous reflection, can we find problems and find solutions, so as to continuously improve the quality of ecation and teaching. Therefore, teaching reflection is not only an important way for teachers to improve their professional level, but also the key to their growth
in short, if we have a strong sense of responsibility, establish a good relationship between teachers and students, strive to cultivate students' interests and hobbies in mathematics, and optimize classroom teaching methods, we believe that the quality of mathematics teaching will be graally improved
if you don't understand, please continue to ask. Thank you
7.
In life, everyone is different, including their listening, thinking, saying, and doing. Distinguish and discuss, according to these different people, we also want to come to some different tricks
listening without thinking is like a light bulb
(left ear in right ear out)
< img SRC=“ https://iknow-pic.cdn.bcebos.com/c9fcc3cec3fdfc030e6ff370df3f8794a5c226e6 ">tips
why does the left ear go in and the right ear go out? Because our auditory memory is very limited! How to change these listeners? First of all, it depends on whether they really listen attentively, and then they think about what they hear. Liu Bang, the High Emperor of the Han Dynasty, was able to become the first peasant emperor from a wild hero because he was obedient to Xiao He and Zhang Liang! It's important to listen. It's perfect when you combine ideas. If we use transposition, opposition and oriented thinking, we will not have left ear in and right ear out
just thinking without saying is like tofu brain
(ideas become empty boxes)
< img SRC=“ https://iknow-pic.cdn.bcebos.com/a2cc7cd98d1001e9726404c7b30e7bec55e79799 ">Einstein attached great importance to thinking and imagination. He said: imagination is more important than knowledge. Because knowledge is limited, and imagination, including everything in the world, promotes progress and is the source of knowledge evolution. This is the view of thought giants. If we don't embody our own ideas, we will always be an empty box. First of all, we need to elaborate according to the goal, reason and result of the idea. After long analysis, the empty box will be golden
talking without doing is like pulling a cannon
(salted fish who can only shout 666)
< img SRC=“ https://iknow-pic.cdn.bcebos.com/d50735fae6cd7b892a7b2a4b042442a7d8330ee6 ">the most eloquent allusions are su Qin and Zhang Yi in the Warring States period. One with one mouth convinced all countries to fight against Qin, and one with one mouth broke Su Qin's strategy of fighting against Qin. Words, like the endless waves, are certainly very impressive. If the action force is poor, it is equal to nothing. Improve the executive ability: have a firm idea, the determination of compulsion, the guidance of goals, the formation of results, etc., to become an intriguing salted fish
just do not want to is like walking the body
(stupefied with no idea)
< img SRC=“ https://iknow-pic.cdn.bcebos.com/cb8065380cd79123ad9c84bca6345982b3b780fd ">ring the Warring States period, Zhang Fei beat you angrily, and fought against Lu Bu with three heroes. But he is brave and good at fighting and lacks a resourceful disposition. The high efficiency of the action group, without the calculation power of the ideological group, is like a fighter that is not afraid of death. How to cultivate both wisdom and courage? First of all, we plan before the action, then think carefully in the process, and then seize the opportunity to attack. I believe that the wooden chicken will become a golden chicken
after reading Xiaobian's article, you will surely find that the principle lies in the cause, process and result, which is the most versatile move! Want to see more highlights? Then scan the code and pay attention to the headline number: Soul fish soup
operator: Little V fish, headline number: Soul fish soup
(original article, unauthorized, no plagiarism, violators will be prosecuted!)
8. 1、 Cultivating students' ability of mathematical abstraction
the reason why students feel that mathematics is difficult to learn is that they lack the ability of mathematical abstraction. In traditional teaching, the teacher directly tells the students what the abstract conclusion is, but does not let the students participate in the abstract process, leading to rote learning. Therefore, teachers should play a leading role, guide students to observe the essence through the phenomenon, understand the "abstract", and learn to summarize. Let students form their own mathematical proposition, mathematical thinking, teachers to correct and improve, for a long time, students will have the ability to learn knowledge independently< Second, to cultivate students' logical reasoning ability
thinking about every innovation and discovery in human history is inseparable from inction and analogy. In the classroom teaching, analogy is widely used to introce the relationship between the great inventions of human beings and logical reasoning in mathematics, so as to make full use of situational teaching and cultivate students' interest in learning mathematics. This requires students to boldly discover and put forward propositions. Some of their ideas will be new inventions in the near future, that is, axioms of theorems; At the same time, the essence of mathematical reasoning lies in dective reasoning. Famous syllogism constitutes a knowledge system of mathematics. Axioms, theorems and inferences are mostly syllogism. Dective reasoning is the cornerstone of modern civilization. When we tell students the syllogism reasoning mode, let students go to reasoning, grasp the basic form and rules of reasoning, and correctly write the steps of reasoning. Cause and effect are clear, writing has logical order, and the process of exploration and demonstration; Construct the proposition system, at the same time, apply what you learn, and use logical reasoning to solve problems in mathematics and life< Third, to cultivate students' mathematical modeling ability, students are required to discover and ask questions, and use known knowledge to build models; Solving the model; Test results and improve the model. Through mathematical modeling, students' ability to operate and understand knowledge can be cultivated, so as to combine theory with practice. Reflecting that mathematics comes from life and will be applied to life, mathematical modeling is a necessary requirement of the new curriculum standard, and an important embodiment of the combination of theory and practice, so that students can achieve the purpose of learning. In ordinary teaching, students are required to pay attention to collecting models and data, pay attention to classification, and prepare materials for mathematical modeling for a long time< The fourth is to cultivate students' intuitive imagination ability. For example, in the teaching of solid geometry and plane geometry, we encourage students to make their own models first, so that when we show the geometric figures, students will not be unfamiliar with them any more, and they can also find the positional relationship between points, lines and surfaces, which successfully avoids the rigid explanation and achieves twice the result with half the effort. At the same time, students are required to pay attention to observation in life, and form some mathematical intuitive models in their minds to feel the beauty of symmetry and curve in mathematics. Cultivate students' imagination ability, can organically combine number and shape. Therefore, in the process of teaching, we should guide students to view problems from the perspective of imagination, spare imagination, bold imagination, let students open up in the classroom, instead of restricting students with the traditional mode, cultivate imaginative talents in the new era< In general, the algebra part of mathematics is to define addition, subtraction, multiplication, division and related operations on the set to form an algebraic system and related conclusions, which requires students to understand operations, master operation rules, explore operation ideas, and design operation programs for operations. Operation is an important part of dective reasoning, a tool for the inheritance of human civilization, and a means for the cultivation of rigorous and realistic scientific spirit. Let students fully perceive the creativity of operation. Nowadays, many programs are implemented in big data processing. They are all in operation and value taking. Only when they have high operation ability can they recognize these programs. This is the call of the times and conforms to the requirements of historical development< In today's world, cloud computing, big data processing and other rapidly changing achievements are inseparable from data. Today's competition has become the competition of time, capacity and survival of the fittest, which requires students to have the ability of data acquisition, data analysis and knowledge construction. At present, we are in the era of diversified information, which requires human beings to have the ability to process information and data, in order to make computer technology better serve human beings. Usually let students pay attention to data collection, collation, classification, can cultivate students' ability in this aspect, starting from bit by bit, will eventually cast great achievements.
the reason why students feel that mathematics is difficult to learn is that they lack the ability of mathematical abstraction. In traditional teaching, the teacher directly tells the students what the abstract conclusion is, but does not let the students participate in the abstract process, leading to rote learning. Therefore, teachers should play a leading role, guide students to observe the essence through the phenomenon, understand the "abstract", and learn to summarize. Let students form their own mathematical proposition, mathematical thinking, teachers to correct and improve, for a long time, students will have the ability to learn knowledge independently< Second, to cultivate students' logical reasoning ability
thinking about every innovation and discovery in human history is inseparable from inction and analogy. In the classroom teaching, analogy is widely used to introce the relationship between the great inventions of human beings and logical reasoning in mathematics, so as to make full use of situational teaching and cultivate students' interest in learning mathematics. This requires students to boldly discover and put forward propositions. Some of their ideas will be new inventions in the near future, that is, axioms of theorems; At the same time, the essence of mathematical reasoning lies in dective reasoning. Famous syllogism constitutes a knowledge system of mathematics. Axioms, theorems and inferences are mostly syllogism. Dective reasoning is the cornerstone of modern civilization. When we tell students the syllogism reasoning mode, let students go to reasoning, grasp the basic form and rules of reasoning, and correctly write the steps of reasoning. Cause and effect are clear, writing has logical order, and the process of exploration and demonstration; Construct the proposition system, at the same time, apply what you learn, and use logical reasoning to solve problems in mathematics and life< Third, to cultivate students' mathematical modeling ability, students are required to discover and ask questions, and use known knowledge to build models; Solving the model; Test results and improve the model. Through mathematical modeling, students' ability to operate and understand knowledge can be cultivated, so as to combine theory with practice. Reflecting that mathematics comes from life and will be applied to life, mathematical modeling is a necessary requirement of the new curriculum standard, and an important embodiment of the combination of theory and practice, so that students can achieve the purpose of learning. In ordinary teaching, students are required to pay attention to collecting models and data, pay attention to classification, and prepare materials for mathematical modeling for a long time< The fourth is to cultivate students' intuitive imagination ability. For example, in the teaching of solid geometry and plane geometry, we encourage students to make their own models first, so that when we show the geometric figures, students will not be unfamiliar with them any more, and they can also find the positional relationship between points, lines and surfaces, which successfully avoids the rigid explanation and achieves twice the result with half the effort. At the same time, students are required to pay attention to observation in life, and form some mathematical intuitive models in their minds to feel the beauty of symmetry and curve in mathematics. Cultivate students' imagination ability, can organically combine number and shape. Therefore, in the process of teaching, we should guide students to view problems from the perspective of imagination, spare imagination, bold imagination, let students open up in the classroom, instead of restricting students with the traditional mode, cultivate imaginative talents in the new era< In general, the algebra part of mathematics is to define addition, subtraction, multiplication, division and related operations on the set to form an algebraic system and related conclusions, which requires students to understand operations, master operation rules, explore operation ideas, and design operation programs for operations. Operation is an important part of dective reasoning, a tool for the inheritance of human civilization, and a means for the cultivation of rigorous and realistic scientific spirit. Let students fully perceive the creativity of operation. Nowadays, many programs are implemented in big data processing. They are all in operation and value taking. Only when they have high operation ability can they recognize these programs. This is the call of the times and conforms to the requirements of historical development< In today's world, cloud computing, big data processing and other rapidly changing achievements are inseparable from data. Today's competition has become the competition of time, capacity and survival of the fittest, which requires students to have the ability of data acquisition, data analysis and knowledge construction. At present, we are in the era of diversified information, which requires human beings to have the ability to process information and data, in order to make computer technology better serve human beings. Usually let students pay attention to data collection, collation, classification, can cultivate students' ability in this aspect, starting from bit by bit, will eventually cast great achievements.
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