The extent to which schools in a country or region prioritize the professional development of mathematics teachers influences the quality of these teachers,thereby affecting students’mathematics learning and performa...The extent to which schools in a country or region prioritize the professional development of mathematics teachers influences the quality of these teachers,thereby affecting students’mathematics learning and performance.Over the years,the PISA test has evolved into the largest and most influential international educational assessment program.This study,based on PISA 2022 questionnaire data,examines the relationship between the professional growth of mathematics teachers and students’mathematics performance by analyzing samples from sixteen countries/economies.The research focuses on schools’support for mathematics teachers’professional growth,investigating the correlation with students’mathematics literacy test scores through metrics such as the average proportion of teachers who participated in professional development training courses in the past three months and the average proportion of schools offering different types of in-house professional growth training.Based on the findings,recommendations are proposed,including placing greater emphasis on the professional development and growth of mathematics teachers,as well as anchoring this growth in students’learning and development.This study provides multinational insights and scientific evidence for educational management related to mathematics teachers’professional development,offering theoretical support for improving the quality of secondary mathematics education,fostering students’mathematical literacy,and promoting educational equity.展开更多
In recent years, a growing number of math contents are available on the Web. When conventional search engines deal with mathematical expressions, the two-dimen- sion-al structure of mathematical expressions is lost, w...In recent years, a growing number of math contents are available on the Web. When conventional search engines deal with mathematical expressions, the two-dimen- sion-al structure of mathematical expressions is lost, which results in a low performance of math retrieval. While the retrieval technology specifically designed for mathematical expressions is not mature currently. Aiming at these problems, an improved mathematical expression indexing and matching method was proposed through employing full text index method to deal with the two-dimensional structure of mathematical expressions. Firstly, through the fully consideration of LaTeX formulae’ characteristics, a feature representation method of mathematical expressions and a clustering method of feature keywords were put forward. Then, an improved inter-relevant successive trees index model was applied to the construction of the mathematical expression index, in which the cluster algorithm of mathematical expression features was employed to solve the problem of the quantity growth of the trees in processing large amount of formulae. Finally, the matching algorithms of mathematical expressions were given which provide four query modes called exact matching, compatible matching, sub-expression matching and fuzzy matching. In browser/server mode, 110027 formulae were used as experimental samples. The index file size was 29.02 Mb. The average time of retrieval was 1.092 seconds. The experimental result shows the effectiveness of the method.展开更多
Not long after the establishment of the People's Republic of China in 1949 and the founding of the CAS, when the whole country was still suffering from the wounds of the three-year civil war, a preparatory off... Not long after the establishment of the People's Republic of China in 1949 and the founding of the CAS, when the whole country was still suffering from the wounds of the three-year civil war, a preparatory office for founding the new Institute of Mathematics opened in June 1950. Theoffice was located at No.3 Wenjin Street, in downtown Beiiing.……展开更多
Programming teaching plays an important role in improving students’computational thinking and practice.However,due to the fact that programming has not been included in the entrance examination,the rate of having pro...Programming teaching plays an important role in improving students’computational thinking and practice.However,due to the fact that programming has not been included in the entrance examination,the rate of having programming lessons in primary and secondary schools is low.At present,there is still a lack of empirical research on how programming affects the performance of other subjects.This paper studies the influence of programming on students’mathematics achievement for the students of an experimental middle school.The results show that programming has a significant impact on students’math scores,and the students who had not learned code were more likely to show a significant decline in math scores.In addition,learning programming makes it easier for middle-grade students to improve their math scores.展开更多
“What is a successful math teacher?”is only a question but the answer to this relatively simple question is the main purpose of this paper.Namely,I will mention teachers’roles and try to give the answer of question...“What is a successful math teacher?”is only a question but the answer to this relatively simple question is the main purpose of this paper.Namely,I will mention teachers’roles and try to give the answer of question“What kind of a teacher do students like?”Cleary,it is much simpler to mention which characteristics a successful mathematics teacher must not have or use.In the end,I would like to address every“successful teacher”with some motivation words.展开更多
Under the background of the new curriculum standard, the Ministry of Education has new requirements for mathematics classroom teaching in secondary vocational schools. Through the use of generative teaching mode, to e...Under the background of the new curriculum standard, the Ministry of Education has new requirements for mathematics classroom teaching in secondary vocational schools. Through the use of generative teaching mode, to enhance students' independent inquiry and learning ability, improve the teaching effect of secondary vocational mathematics classroom. This paper discusses the application of generative teaching in secondary vocational mathematics classroom, hoping to improve the quality of secondary vocational mathematics classroom teaching.展开更多
Analyses of astrophysics and electrostatic separation data were illustrated with the Asymptotic Curve Based and Proportionality Oriented (ACP) nonlinear math for relating two physical variables. The fundamental physic...Analyses of astrophysics and electrostatic separation data were illustrated with the Asymptotic Curve Based and Proportionality Oriented (ACP) nonlinear math for relating two physical variables. The fundamental physical law asserts that the nonlinear change of continuous variable Y is proportional to the nonlinear change in continuous variable X. Mathematically, this is expressed as dα{Y, Yu, Yb} = −Kdβ{X, Xu, Xb}, with Yu, Yb, Xu, and Xb representing the upper and baseline asymptotes of Y and X. Y is the continuous cumulative numbers of the elementary y and X is the continuous cumulative numbers of elementary x. K is the proportionality constant or equally is the rate constant.展开更多
Highlights This study examines the China-England Mathematics Teacher Exchange program to identify and evaluate the differences in Chinese approach to mathematics education.There are numerous differences in terms of na...Highlights This study examines the China-England Mathematics Teacher Exchange program to identify and evaluate the differences in Chinese approach to mathematics education.There are numerous differences in terms of national mathematics curricula,organization of mathematics teaching,and evaluation objectives and methods due to different educational and learningcultures.China has made great achievements in mathematics education and student academic performance but has much to learn from England.展开更多
Automatically answer math word problems is a challenging task in artificial intelligence.Previous solvers constructed mathematical expressions in sequence or binary tree.However,these approaches may suffer from the fo...Automatically answer math word problems is a challenging task in artificial intelligence.Previous solvers constructed mathematical expressions in sequence or binary tree.However,these approaches may suffer from the following issues:Models relying on such structures exhibit fixed-order reasoning(e.g.,left-to-right),limiting flexibility and increasing error susceptibility;prior models rely on autoregressive reasoning in a single pass,accumulating minor errors(e.g.,incorrect math symbols)during generation,resulting in reduced accuracy.To address the above issues,we emulate the human“check and modify”process in reasoning and propose a unified M-tree self-correction solver(UTSCSolver)by iterative inference with self-correction mechanism.First,we use an iterative,non-autoregressive process for generating mathematical expressions,free from fixed generation orders to handle complex and diverse problems.Additionally,we design a self-correction mechanism based on alternating execution between a generator and a discriminator.This module iteratively detects and rectifies errors in generated expressions,leveraging previous iteration information for subsequent generation guidance.Experimental results show that our UTSC-Solver outperforms traditional models in accuracy on two popular datasets,while it improves the interpretability of mathematical reasoning.展开更多
文摘The extent to which schools in a country or region prioritize the professional development of mathematics teachers influences the quality of these teachers,thereby affecting students’mathematics learning and performance.Over the years,the PISA test has evolved into the largest and most influential international educational assessment program.This study,based on PISA 2022 questionnaire data,examines the relationship between the professional growth of mathematics teachers and students’mathematics performance by analyzing samples from sixteen countries/economies.The research focuses on schools’support for mathematics teachers’professional growth,investigating the correlation with students’mathematics literacy test scores through metrics such as the average proportion of teachers who participated in professional development training courses in the past three months and the average proportion of schools offering different types of in-house professional growth training.Based on the findings,recommendations are proposed,including placing greater emphasis on the professional development and growth of mathematics teachers,as well as anchoring this growth in students’learning and development.This study provides multinational insights and scientific evidence for educational management related to mathematics teachers’professional development,offering theoretical support for improving the quality of secondary mathematics education,fostering students’mathematical literacy,and promoting educational equity.
文摘In recent years, a growing number of math contents are available on the Web. When conventional search engines deal with mathematical expressions, the two-dimen- sion-al structure of mathematical expressions is lost, which results in a low performance of math retrieval. While the retrieval technology specifically designed for mathematical expressions is not mature currently. Aiming at these problems, an improved mathematical expression indexing and matching method was proposed through employing full text index method to deal with the two-dimensional structure of mathematical expressions. Firstly, through the fully consideration of LaTeX formulae’ characteristics, a feature representation method of mathematical expressions and a clustering method of feature keywords were put forward. Then, an improved inter-relevant successive trees index model was applied to the construction of the mathematical expression index, in which the cluster algorithm of mathematical expression features was employed to solve the problem of the quantity growth of the trees in processing large amount of formulae. Finally, the matching algorithms of mathematical expressions were given which provide four query modes called exact matching, compatible matching, sub-expression matching and fuzzy matching. In browser/server mode, 110027 formulae were used as experimental samples. The index file size was 29.02 Mb. The average time of retrieval was 1.092 seconds. The experimental result shows the effectiveness of the method.
文摘 Not long after the establishment of the People's Republic of China in 1949 and the founding of the CAS, when the whole country was still suffering from the wounds of the three-year civil war, a preparatory office for founding the new Institute of Mathematics opened in June 1950. Theoffice was located at No.3 Wenjin Street, in downtown Beiiing.……
基金This work was supported in part by the Sichuan Electronic Information Education Center Education Center under Grant[2019]147.
文摘Programming teaching plays an important role in improving students’computational thinking and practice.However,due to the fact that programming has not been included in the entrance examination,the rate of having programming lessons in primary and secondary schools is low.At present,there is still a lack of empirical research on how programming affects the performance of other subjects.This paper studies the influence of programming on students’mathematics achievement for the students of an experimental middle school.The results show that programming has a significant impact on students’math scores,and the students who had not learned code were more likely to show a significant decline in math scores.In addition,learning programming makes it easier for middle-grade students to improve their math scores.
文摘“What is a successful math teacher?”is only a question but the answer to this relatively simple question is the main purpose of this paper.Namely,I will mention teachers’roles and try to give the answer of question“What kind of a teacher do students like?”Cleary,it is much simpler to mention which characteristics a successful mathematics teacher must not have or use.In the end,I would like to address every“successful teacher”with some motivation words.
文摘Under the background of the new curriculum standard, the Ministry of Education has new requirements for mathematics classroom teaching in secondary vocational schools. Through the use of generative teaching mode, to enhance students' independent inquiry and learning ability, improve the teaching effect of secondary vocational mathematics classroom. This paper discusses the application of generative teaching in secondary vocational mathematics classroom, hoping to improve the quality of secondary vocational mathematics classroom teaching.
文摘Analyses of astrophysics and electrostatic separation data were illustrated with the Asymptotic Curve Based and Proportionality Oriented (ACP) nonlinear math for relating two physical variables. The fundamental physical law asserts that the nonlinear change of continuous variable Y is proportional to the nonlinear change in continuous variable X. Mathematically, this is expressed as dα{Y, Yu, Yb} = −Kdβ{X, Xu, Xb}, with Yu, Yb, Xu, and Xb representing the upper and baseline asymptotes of Y and X. Y is the continuous cumulative numbers of the elementary y and X is the continuous cumulative numbers of elementary x. K is the proportionality constant or equally is the rate constant.
文摘Highlights This study examines the China-England Mathematics Teacher Exchange program to identify and evaluate the differences in Chinese approach to mathematics education.There are numerous differences in terms of national mathematics curricula,organization of mathematics teaching,and evaluation objectives and methods due to different educational and learningcultures.China has made great achievements in mathematics education and student academic performance but has much to learn from England.
基金supported by the National Natural Science Foundation of China(62106244)the Fundamental Research Funds for the Central Universities(WK2150110021)the University Synergy Innovation Program of Anhui Province(GXXT-2022-042).
文摘Automatically answer math word problems is a challenging task in artificial intelligence.Previous solvers constructed mathematical expressions in sequence or binary tree.However,these approaches may suffer from the following issues:Models relying on such structures exhibit fixed-order reasoning(e.g.,left-to-right),limiting flexibility and increasing error susceptibility;prior models rely on autoregressive reasoning in a single pass,accumulating minor errors(e.g.,incorrect math symbols)during generation,resulting in reduced accuracy.To address the above issues,we emulate the human“check and modify”process in reasoning and propose a unified M-tree self-correction solver(UTSCSolver)by iterative inference with self-correction mechanism.First,we use an iterative,non-autoregressive process for generating mathematical expressions,free from fixed generation orders to handle complex and diverse problems.Additionally,we design a self-correction mechanism based on alternating execution between a generator and a discriminator.This module iteratively detects and rectifies errors in generated expressions,leveraging previous iteration information for subsequent generation guidance.Experimental results show that our UTSC-Solver outperforms traditional models in accuracy on two popular datasets,while it improves the interpretability of mathematical reasoning.
