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Publish: 2021-04-29 06:18:25
1. The content arrangement of mathematics curriculum for Grade 8 in China and Britain
MEP in Britain
Chapter 1 Chapter 2 Chapter 3 chapter 4 chapter 5 chapter 6 Chapter 7 Chapter 8 Chapter 8 Chapter 8 Chapter 9 Chapter 10 Chapter 11 chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 chapter 19 Chapter 20 mathematical flow chart factor Pythagorean Lars theorem approximation and estimation data analysis grid and surface area ratio and proportion Algebra: Algebra: bracket arithmetic: Arithmetic: fraction and percentage probability: Probability: two event angles, azimuth and map formula coin and time line graph polygon circle and cylinder unit velocity, velocity The questionnaire survey and analysis of distance and time similitude
China
algebra Volume 2 Chapter 8 factorization Chapter 9 method Chapter 10 number root Chapter 11 quadratic root geometry Volume 2 Chapter 3 triangle Chapter 4 quadrilateral Chapter 5 similitude
knowledge structure diagram of "equation" in junior middle school
number axis inequality Integral
elementary 1
system of linear inequalities with one variable
system of linear inequalities with one variable
system of linear equations with one variable
system of linear equations with two variables with elimination
system of linear equations with three variables with elimination
deformation of the formula
the linear equation with one variable containing letter coefficients can be transformed into a fractional equation of linear equations with one variable and a reced quadratic equation with one variable Formula equation first-order function first-order function image simplification
fraction
factorization
junior three
finding the domain of definition
finding the zero point of the domain of definition quadratic function image solution fractional function irrational function
binary quadratic equation group function
image solution
"leisure walk" and "leisure walk" Huashan one road Road "
&; The feeling of ascending the sky; Molar and hinged; The pressure of college entrance examination; Group activities and working alone
1. Cai Jinfa's research 2. Bold hypothesis and careful verification 3. Problem based teaching 4. High score but low ability
happy learning and hard study (Xiao'er Lang) happy learning and hard study (Xiao'er Lang) visit by Professor of computer science, University of Chicago; 2. Game and learning (trapezoidal definition)
synthesis and analysis
1. Image language and sound language 2. Traditional Chinese medicine and Western Medicine (technology and experience) traditional Chinese medicine and Western Medicine (technology and experience) 3. Skills and abilities 4. Class evaluation and classroom observation
popular mathematics and elite mathematics popular mathematics elite mathematics; BENSHAW's Mathematics Network Classroom; Movie: death Poetry Club Movie: 8226 The ecation of Carl Witt, the ecation of Witt, the ecation of Carl Witt; Rousseau's Emile Rousseau's Emile; Gifted ecation; The equity of ecation
2. Large scale international comparative study of mathematics ecation
TIMSS Pisa ICME APEC
(1) research history of TIMSS
research history of TIMSS achievement test (1995, 1999, 2003, achievement test, 2007) and operation evaluation (1997) and operation evaluation (1995) TIMSS curriculum comparison (curriculum comparison) TIMSS video research (1995, 1999) video research (,) TIMSS teacher professional survey
4 Feedback from countries on the results
what factors lead to the differences between the United States and top countries? What factors lead to the difference between the United States and the top countries
about 1 / 4 of the courses taught by middle school teachers are not from their own universities, about the courses taught by middle school teachers are not from their own universities, including: the major of the University, These include: 30% of mathematics teachers, 56% of physics teachers do not have detailed national curriculum, lack of high-level mathematics content, discontinuity of ecation process, lack of encouragement and reward for academic performance, lack of summary, lack of opportunities for teachers to communicate with colleagues
5. TIMSS video research, video research
countries participating in TIMSS video research: Japan, Germany The participating countries of TIMSS-R video research in the United States are Australia, Czech Republic, Hong Kong, Japan, Luxembourg, Netherlands, Switzerland and the United States
what factors affect high level mathematics teaching? What factors affect the high level of Mathematics Teaching
the discovery of videotape research: the discovery of videotape research
teachers' teaching goal concept and application of teaching processing requirements for a variety of solutions mathematical principles, mathematical principles Whether the usage of nature and definition includes proving whether the connection between concepts is emphasized or not, the type of students' homework
transnational research on mathematics teacher cultivation (teds-m))
&8226; Teds-m, sponsored by the International Commission on ecational achievement (IEA), is a transnational comparative study on pre service mathematics teachers in primary and secondary schools in different countries. It is also the first time in the world to evaluate the results of teacher training with a national sample, This study mainly focuses on the evaluation of the achievements of teacher training, the policy of teacher training, the policy of teacher training, the practice of teaching and the adjustment of teachers' professional performance, so as to provide all participating countries with mutual understanding and learning. Check to provide all participating countries with mutual understanding and learning&# 8226; The funding sources of this study are mainly from the countries participating in the survey and the funding sources of national research, mainly from the countries participating in the survey and the countries participating in international ecational achievements: the Republic of Botswana, Canada, the countries participating in international ecational achievements: the Republic of Botswana, Canada, Switzerland, Chile, Germany, Spain, Georgia, Malaysia, Switzerland, Chile, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada Germany, Spain, Georgia, Malaysia, Norway, Oman, Philippines, Poland, Russia, Singapore, Norway, Oman, Philippines, Poland, Russia, Singapore, Thailand, Taiwan and the United States. China, Taiwan and the United States
research questions
1. Which characteristics of teacher training programs can effectively cultivate the characteristics of future teacher training programs, primary and secondary school mathematics teachers? Primary and secondary school mathematics teachers? 2. What learning experiences can be effectively transformed into the teaching beliefs of future primary and secondary school mathematics teachers? What is your teaching belief? 3. What school experience can effectively cultivate teachers? What school experience can effectively cultivate teachers? 4. How to measure the quality of pre service mathematics teachers in a reliable and effective way? How to cultivate achievements in a reliable and effective way? Cultivation achievements? 5. How does the national policy have a positive impact on the results of teacher training? What's the impact? 6. What policies can effectively employ qualified mathematics teachers from multicultural backgrounds? What kind of teacher< (2) Pisa: the measurement of students' knowledge and skills
the definition of mathematical literacy
"the ability to determine, understand and use mathematics, as well as the ability to judge the role and needs of mathematics in each determination, understanding and use of mathematics, people's present and future personal life, people's present and future personal life, professional life and social life. Good judgment of roles and needs. " Mathematical literacy depends on the familiarity with the complex of mathematical knowledge and skills, including: basic numerical facts and operations; Currency conversion; Degree. It includes: basic digital facts and operations; Currency conversion; The basic idea of space and graphics, as well as measurement; Uncertainty, basic ideas about space and graphics, and measurement; The concept of uncertainty, growth rate and change rate. In addition, the concept of growth rate and change rate. In addition, mathematical literacy also includes the ability of mathematical thinking and work, which is necessary for modern society, including modeling and problem solving. These capabilities include: Modeling and problem solving. These abilities include: guiding the application scope and limitations of mathematical concepts; Understand and evaluate mathematical argumentation; The scope of application and limitations of the concept; Understand and evaluate mathematical argumentation; Put forward mathematical problems; Choose the way to express the mathematical situation; They have mathematical problems; Choose the way to express the mathematical situation; Use your own language to express the content of mathematics. Mathematical literacy depends on the expression of mathematical content in indivials and words. Mathematical literacy depends on the application ability of these knowledge, understanding and skills in the indivial, social and working background. The ability to apply these knowledge, understanding and skills in the background
three dimensions of mathematical literacy
process. The core is the process of putting forward and improving. The core is the ability of students to analyze, reason and communicate by proposing, forming and solving mathematical problems. The ability to analyze, reason and communicate problems. The process can be divided into three levels: , definition and operation; The problem solution can be divided into three levels: , definition and operation; Connection and integration in the process of decision-making; Connection and integration in the process of decision-making; Mathematics, mathematical thinking and generalization. Mathematical thinking and generalization. Content. Pisa emphasizes a wide range of mathematical topics, including changing content. Emphasis on a wide range of mathematical topics, emphasizing a wide range of mathematical topics and growth rate, space and graphics, opportunity, quantitative reasoning, and growth rate, space and graphics, opportunity, quantitative reasoning, uncertainty and independence. Certainty and independence. Background. Background. One of the important characteristics of mathematical literacy is the use and application of mathematics in various situations, including personal life, environmental use and application of mathematics, including personal life, school life, work and sports, local communities and so on. School life, work and sports, local community, etc< (3) ICME
the International Conference on Mathematics Ecation (ICME) is the highest level international academic conference and the highest level international academic conference held under the guidance of the International Committee on Mathematics Ecation (ICMI) of the International Mathematics Association (IMU), Every four years, the number of participants is about 4000. In the recent two sessions of ICME, the number of Chinese scholars is among the top (9:153, ICME 10:77, including mainland and Taiwan, including mainland and Taiwan) This is an important contribution to China's mathematics ecation on the world stage
MEP in Britain
Chapter 1 Chapter 2 Chapter 3 chapter 4 chapter 5 chapter 6 Chapter 7 Chapter 8 Chapter 8 Chapter 8 Chapter 9 Chapter 10 Chapter 11 chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 chapter 19 Chapter 20 mathematical flow chart factor Pythagorean Lars theorem approximation and estimation data analysis grid and surface area ratio and proportion Algebra: Algebra: bracket arithmetic: Arithmetic: fraction and percentage probability: Probability: two event angles, azimuth and map formula coin and time line graph polygon circle and cylinder unit velocity, velocity The questionnaire survey and analysis of distance and time similitude
China
algebra Volume 2 Chapter 8 factorization Chapter 9 method Chapter 10 number root Chapter 11 quadratic root geometry Volume 2 Chapter 3 triangle Chapter 4 quadrilateral Chapter 5 similitude
knowledge structure diagram of "equation" in junior middle school
number axis inequality Integral
elementary 1
system of linear inequalities with one variable
system of linear inequalities with one variable
system of linear equations with one variable
system of linear equations with two variables with elimination
system of linear equations with three variables with elimination
deformation of the formula
the linear equation with one variable containing letter coefficients can be transformed into a fractional equation of linear equations with one variable and a reced quadratic equation with one variable Formula equation first-order function first-order function image simplification
fraction
factorization
junior three
finding the domain of definition
finding the zero point of the domain of definition quadratic function image solution fractional function irrational function
binary quadratic equation group function
image solution
"leisure walk" and "leisure walk" Huashan one road Road "
&; The feeling of ascending the sky; Molar and hinged; The pressure of college entrance examination; Group activities and working alone
1. Cai Jinfa's research 2. Bold hypothesis and careful verification 3. Problem based teaching 4. High score but low ability
happy learning and hard study (Xiao'er Lang) happy learning and hard study (Xiao'er Lang) visit by Professor of computer science, University of Chicago; 2. Game and learning (trapezoidal definition)
synthesis and analysis
1. Image language and sound language 2. Traditional Chinese medicine and Western Medicine (technology and experience) traditional Chinese medicine and Western Medicine (technology and experience) 3. Skills and abilities 4. Class evaluation and classroom observation
popular mathematics and elite mathematics popular mathematics elite mathematics; BENSHAW's Mathematics Network Classroom; Movie: death Poetry Club Movie: 8226 The ecation of Carl Witt, the ecation of Witt, the ecation of Carl Witt; Rousseau's Emile Rousseau's Emile; Gifted ecation; The equity of ecation
2. Large scale international comparative study of mathematics ecation
TIMSS Pisa ICME APEC
(1) research history of TIMSS
research history of TIMSS achievement test (1995, 1999, 2003, achievement test, 2007) and operation evaluation (1997) and operation evaluation (1995) TIMSS curriculum comparison (curriculum comparison) TIMSS video research (1995, 1999) video research (,) TIMSS teacher professional survey
4 Feedback from countries on the results
what factors lead to the differences between the United States and top countries? What factors lead to the difference between the United States and the top countries
about 1 / 4 of the courses taught by middle school teachers are not from their own universities, about the courses taught by middle school teachers are not from their own universities, including: the major of the University, These include: 30% of mathematics teachers, 56% of physics teachers do not have detailed national curriculum, lack of high-level mathematics content, discontinuity of ecation process, lack of encouragement and reward for academic performance, lack of summary, lack of opportunities for teachers to communicate with colleagues
5. TIMSS video research, video research
countries participating in TIMSS video research: Japan, Germany The participating countries of TIMSS-R video research in the United States are Australia, Czech Republic, Hong Kong, Japan, Luxembourg, Netherlands, Switzerland and the United States
what factors affect high level mathematics teaching? What factors affect the high level of Mathematics Teaching
the discovery of videotape research: the discovery of videotape research
teachers' teaching goal concept and application of teaching processing requirements for a variety of solutions mathematical principles, mathematical principles Whether the usage of nature and definition includes proving whether the connection between concepts is emphasized or not, the type of students' homework
transnational research on mathematics teacher cultivation (teds-m))
&8226; Teds-m, sponsored by the International Commission on ecational achievement (IEA), is a transnational comparative study on pre service mathematics teachers in primary and secondary schools in different countries. It is also the first time in the world to evaluate the results of teacher training with a national sample, This study mainly focuses on the evaluation of the achievements of teacher training, the policy of teacher training, the policy of teacher training, the practice of teaching and the adjustment of teachers' professional performance, so as to provide all participating countries with mutual understanding and learning. Check to provide all participating countries with mutual understanding and learning&# 8226; The funding sources of this study are mainly from the countries participating in the survey and the funding sources of national research, mainly from the countries participating in the survey and the countries participating in international ecational achievements: the Republic of Botswana, Canada, the countries participating in international ecational achievements: the Republic of Botswana, Canada, Switzerland, Chile, Germany, Spain, Georgia, Malaysia, Switzerland, Chile, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada, Canada Germany, Spain, Georgia, Malaysia, Norway, Oman, Philippines, Poland, Russia, Singapore, Norway, Oman, Philippines, Poland, Russia, Singapore, Thailand, Taiwan and the United States. China, Taiwan and the United States
research questions
1. Which characteristics of teacher training programs can effectively cultivate the characteristics of future teacher training programs, primary and secondary school mathematics teachers? Primary and secondary school mathematics teachers? 2. What learning experiences can be effectively transformed into the teaching beliefs of future primary and secondary school mathematics teachers? What is your teaching belief? 3. What school experience can effectively cultivate teachers? What school experience can effectively cultivate teachers? 4. How to measure the quality of pre service mathematics teachers in a reliable and effective way? How to cultivate achievements in a reliable and effective way? Cultivation achievements? 5. How does the national policy have a positive impact on the results of teacher training? What's the impact? 6. What policies can effectively employ qualified mathematics teachers from multicultural backgrounds? What kind of teacher< (2) Pisa: the measurement of students' knowledge and skills
the definition of mathematical literacy
"the ability to determine, understand and use mathematics, as well as the ability to judge the role and needs of mathematics in each determination, understanding and use of mathematics, people's present and future personal life, people's present and future personal life, professional life and social life. Good judgment of roles and needs. " Mathematical literacy depends on the familiarity with the complex of mathematical knowledge and skills, including: basic numerical facts and operations; Currency conversion; Degree. It includes: basic digital facts and operations; Currency conversion; The basic idea of space and graphics, as well as measurement; Uncertainty, basic ideas about space and graphics, and measurement; The concept of uncertainty, growth rate and change rate. In addition, the concept of growth rate and change rate. In addition, mathematical literacy also includes the ability of mathematical thinking and work, which is necessary for modern society, including modeling and problem solving. These capabilities include: Modeling and problem solving. These abilities include: guiding the application scope and limitations of mathematical concepts; Understand and evaluate mathematical argumentation; The scope of application and limitations of the concept; Understand and evaluate mathematical argumentation; Put forward mathematical problems; Choose the way to express the mathematical situation; They have mathematical problems; Choose the way to express the mathematical situation; Use your own language to express the content of mathematics. Mathematical literacy depends on the expression of mathematical content in indivials and words. Mathematical literacy depends on the application ability of these knowledge, understanding and skills in the indivial, social and working background. The ability to apply these knowledge, understanding and skills in the background
three dimensions of mathematical literacy
process. The core is the process of putting forward and improving. The core is the ability of students to analyze, reason and communicate by proposing, forming and solving mathematical problems. The ability to analyze, reason and communicate problems. The process can be divided into three levels: , definition and operation; The problem solution can be divided into three levels: , definition and operation; Connection and integration in the process of decision-making; Connection and integration in the process of decision-making; Mathematics, mathematical thinking and generalization. Mathematical thinking and generalization. Content. Pisa emphasizes a wide range of mathematical topics, including changing content. Emphasis on a wide range of mathematical topics, emphasizing a wide range of mathematical topics and growth rate, space and graphics, opportunity, quantitative reasoning, and growth rate, space and graphics, opportunity, quantitative reasoning, uncertainty and independence. Certainty and independence. Background. Background. One of the important characteristics of mathematical literacy is the use and application of mathematics in various situations, including personal life, environmental use and application of mathematics, including personal life, school life, work and sports, local communities and so on. School life, work and sports, local community, etc< (3) ICME
the International Conference on Mathematics Ecation (ICME) is the highest level international academic conference and the highest level international academic conference held under the guidance of the International Committee on Mathematics Ecation (ICMI) of the International Mathematics Association (IMU), Every four years, the number of participants is about 4000. In the recent two sessions of ICME, the number of Chinese scholars is among the top (9:153, ICME 10:77, including mainland and Taiwan, including mainland and Taiwan) This is an important contribution to China's mathematics ecation on the world stage
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