English education in China has its problems due to its history and teaching environment,such as deficiency of communication purpose,insufficiency of teaching on oral expression and so on.Consequently,to solve the prob...English education in China has its problems due to its history and teaching environment,such as deficiency of communication purpose,insufficiency of teaching on oral expression and so on.Consequently,to solve the problems of English teaching in China seems necessary.Therefore,the solutions as the changes of policy,updated teaching methods,improvement of teacher’s skills on teaching and diverse ways of teaching should be pointed out.展开更多
This study aims to explore the effect of project-based teaching methods on improving students’ abilities in normal universities. This study delves into the practice teaching system based on ability training implement...This study aims to explore the effect of project-based teaching methods on improving students’ abilities in normal universities. This study delves into the practice teaching system based on ability training implemented in normal universities, examining the application of this teaching model in teacher education and the potential challenges it may encounter. Our case study reveals that the Project-Based Learning (PBL) approach can effectively transform students from passive recipients of knowledge into active problem solvers, thereby enhancing their critical thinking, problem-solving, teamwork, and communication skills. However, challenges do exist, including ensuring active participation from all students, providing equal opportunities for each student to develop and showcase their abilities, and completing complex projects within a limited timeframe. Therefore, teachers may need to adjust their teaching strategies, and schools need to provide more resources and support. These adjustments can help the practice teaching system based on ability training better serve teacher education and offer students a higher-quality educational experience.展开更多
The problem solving competency is the primary goal in all mathematics education curricula. It is acquired by solving mathematical problems belonging either to routine or non-routine category. The study describes the p...The problem solving competency is the primary goal in all mathematics education curricula. It is acquired by solving mathematical problems belonging either to routine or non-routine category. The study describes the post-secondary students’ levels of proficiency in solving non-routine math problems. The three-stage process in solving mathematics problems by Mayer was used as the frame of analysis. Using the data generated from researcher made instruments, and semi-structured interview of 50 purposively selected participants, the study found that: Majority of the participants showed “good proficiency” in “problem representation” and “problem solving”, the real world problems in Math. It is also revealed that those who are good in problem representation phase are also good in problem solution phase. In general, participants do not always consider answer verification phase as important in the process of solving real world problems in math. The most common difficulties encountered by participants are: language inadequacy and unfamiliarity with the context of the problems. The researchers recommended that the same study be done in some other context and local and if the results are consistent with this study, may consider redesigning new curriculum in post-secondary mathematics education.展开更多
In this paper, antiplane response of an isosceles triangular hill to incident SH waves is studied based on the method of complex function and by using moving coordinate system. The standing wave function, which can sa...In this paper, antiplane response of an isosceles triangular hill to incident SH waves is studied based on the method of complex function and by using moving coordinate system. The standing wave function, which can satisfy the governing equation and boundary condition, is provided. Furthermore, numerical examples are presented; the influences of wave number and angle of the incident waves and the angle of the hill’s peak on ground motion are discussed.展开更多
First of all, this paper discusses the drawbacks of multilayer perceptron (MLP), which is trained by the traditional back propagation (BP) algorithm and used in a special classification problem. A new training algorit...First of all, this paper discusses the drawbacks of multilayer perceptron (MLP), which is trained by the traditional back propagation (BP) algorithm and used in a special classification problem. A new training algorithm for neural networks based on genetic algorithm and BP algorithm is developed. The difference between the new training algorithm and BP algorithm in the ability of nonlinear approaching is expressed through an example, and the application foreground is illustrated by an example.展开更多
Research on learning difficulties in mathematics adopts one of two distinct perspectives. According to the first, learning difficulties are due to the intrinsic characteristics of the student. For supporters of the se...Research on learning difficulties in mathematics adopts one of two distinct perspectives. According to the first, learning difficulties are due to the intrinsic characteristics of the student. For supporters of the second perspective, those difficulties result from the interaction between the student and the school system. The objective of this study is to test the validity of these two perspectives in interpreting learning difficulties in mathematics among at-risk students. To this end, we collaborated with normally achieving （undiagnosed） and at-risk students. Results show that the second perspective is better suited to the interpretation of learning difficulties in mathematics students展开更多
There is a growing technological development in intelligent teaching systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics th...There is a growing technological development in intelligent teaching systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics that helps students understand the basics of linear programming using Linear Program Solver and Service for Solving Linear Programming Problems, through which students will be able to solve economic problems. It comes down to determining the minimum or maximum value of a linear function, which is called the objective function, according to pre-set limiting conditions expressed by linear equations and inequalities. The goal function and the limiting conditions represent a mathematical model of the observed problem. Working as a professor of mathematics in high school, I felt the need for one such work and dealing with the study of linear programming as an integral part of mathematics. There are a number of papers in this regard, but exclusively related to traditional ways of working, as stated in the introductory part of the paper. The center of work as well as the final part deals with the study of linear programming using programs that deal with this topic.展开更多
In this paper, we propose a modified evolutionary programming with dynamic domain for solving nonlinear IP/MIP problems with linear constraints, without involving penalty function or any transformation for the problem...In this paper, we propose a modified evolutionary programming with dynamic domain for solving nonlinear IP/MIP problems with linear constraints, without involving penalty function or any transformation for the problem to a linear model or others. The numerical results show that the new algorithm gives a satisfactory performance in which it works of high speed, and accuracy in IP/MIP problems.展开更多
This study investigated the effectiveness of spatial-visualization-based instruction on the mathematical problem-solving performance of 35 mathematics education students using one-group pretest-posttest quasi-experime...This study investigated the effectiveness of spatial-visualization-based instruction on the mathematical problem-solving performance of 35 mathematics education students using one-group pretest-posttest quasi-experimental design. It also aimed to describe how spatial visualization is applied in solving mathematical problems. The findings of the study revealed that spatial-visualization-based instruction improved the mathematical problem-solving performance of students. The spatial-visualization ability can be applied in solving mathematical problems.展开更多
This paper establishes a mathematical model of the reliability optimization design for the safe-arming system of an air-faced missile, and presents a solving method for the model. The computational results provide a v...This paper establishes a mathematical model of the reliability optimization design for the safe-arming system of an air-faced missile, and presents a solving method for the model. The computational results provide a valuable reference for the reliability design for the safe-arming system of an air-faced missile.展开更多
Research in spreadsheet management proved that the overuse of slow thinking, rather than fast thinking, is the primary source of erroneous end-user computing. However, we found that the reality is not that simple. To ...Research in spreadsheet management proved that the overuse of slow thinking, rather than fast thinking, is the primary source of erroneous end-user computing. However, we found that the reality is not that simple. To view end-user computing in its full complexity, we launched a project to investigate end-user education, training, support, activities, and computer problem solving. In this project we also set up the base and mathability-extended typology of computer problem solving approaches, where quantitative values are assigned to the different problem solving methods and activities. In this paper we present the results of our analyses of teaching materials collected in different languages from all over the world and our findings considering the different problem solving approaches, set in the frame of different thinking modes, the characteristics of expert teachers, and the meaning system model of teaching approaches. Based on our research, we argue that the proportions of fast and slow thinking and most importantly their manifestation are responsible for erroneous end-user activities. Applying the five-point mathability scale of computer problem solving, we recognized slow thinking activities on both tails and one fast thinking approach between them. The low mathability slow thinking activities, where surface navigation and language details are focused on, are widely accepted in end-user computing. The high mathability slow thinking problem solving activities, where the utilization of concept based approaches and schema construction take place, is hardly detectable in end-user activities. Instead of building up knowledge which requires slow thinking and then using the tools with fast thinking, end-users use up their slow thinking in aimless wandering in huge programs, making wrong decisions based on their untrained, clueless intuition, and distributing erroneous end-user documents. We also found that the dominance of low mathability slow thinking activities has its roots in the education system and through this we point out that we are in great need of expert teachers and institutions and their widely accepted approaches and methods.展开更多
文摘English education in China has its problems due to its history and teaching environment,such as deficiency of communication purpose,insufficiency of teaching on oral expression and so on.Consequently,to solve the problems of English teaching in China seems necessary.Therefore,the solutions as the changes of policy,updated teaching methods,improvement of teacher’s skills on teaching and diverse ways of teaching should be pointed out.
文摘This study aims to explore the effect of project-based teaching methods on improving students’ abilities in normal universities. This study delves into the practice teaching system based on ability training implemented in normal universities, examining the application of this teaching model in teacher education and the potential challenges it may encounter. Our case study reveals that the Project-Based Learning (PBL) approach can effectively transform students from passive recipients of knowledge into active problem solvers, thereby enhancing their critical thinking, problem-solving, teamwork, and communication skills. However, challenges do exist, including ensuring active participation from all students, providing equal opportunities for each student to develop and showcase their abilities, and completing complex projects within a limited timeframe. Therefore, teachers may need to adjust their teaching strategies, and schools need to provide more resources and support. These adjustments can help the practice teaching system based on ability training better serve teacher education and offer students a higher-quality educational experience.
文摘The problem solving competency is the primary goal in all mathematics education curricula. It is acquired by solving mathematical problems belonging either to routine or non-routine category. The study describes the post-secondary students’ levels of proficiency in solving non-routine math problems. The three-stage process in solving mathematics problems by Mayer was used as the frame of analysis. Using the data generated from researcher made instruments, and semi-structured interview of 50 purposively selected participants, the study found that: Majority of the participants showed “good proficiency” in “problem representation” and “problem solving”, the real world problems in Math. It is also revealed that those who are good in problem representation phase are also good in problem solution phase. In general, participants do not always consider answer verification phase as important in the process of solving real world problems in math. The most common difficulties encountered by participants are: language inadequacy and unfamiliarity with the context of the problems. The researchers recommended that the same study be done in some other context and local and if the results are consistent with this study, may consider redesigning new curriculum in post-secondary mathematics education.
文摘In this paper, antiplane response of an isosceles triangular hill to incident SH waves is studied based on the method of complex function and by using moving coordinate system. The standing wave function, which can satisfy the governing equation and boundary condition, is provided. Furthermore, numerical examples are presented; the influences of wave number and angle of the incident waves and the angle of the hill’s peak on ground motion are discussed.
基金This project was supported by Guangdong Natural Science Foundation.
文摘First of all, this paper discusses the drawbacks of multilayer perceptron (MLP), which is trained by the traditional back propagation (BP) algorithm and used in a special classification problem. A new training algorithm for neural networks based on genetic algorithm and BP algorithm is developed. The difference between the new training algorithm and BP algorithm in the ability of nonlinear approaching is expressed through an example, and the application foreground is illustrated by an example.
文摘Research on learning difficulties in mathematics adopts one of two distinct perspectives. According to the first, learning difficulties are due to the intrinsic characteristics of the student. For supporters of the second perspective, those difficulties result from the interaction between the student and the school system. The objective of this study is to test the validity of these two perspectives in interpreting learning difficulties in mathematics among at-risk students. To this end, we collaborated with normally achieving （undiagnosed） and at-risk students. Results show that the second perspective is better suited to the interpretation of learning difficulties in mathematics students
文摘There is a growing technological development in intelligent teaching systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics that helps students understand the basics of linear programming using Linear Program Solver and Service for Solving Linear Programming Problems, through which students will be able to solve economic problems. It comes down to determining the minimum or maximum value of a linear function, which is called the objective function, according to pre-set limiting conditions expressed by linear equations and inequalities. The goal function and the limiting conditions represent a mathematical model of the observed problem. Working as a professor of mathematics in high school, I felt the need for one such work and dealing with the study of linear programming as an integral part of mathematics. There are a number of papers in this regard, but exclusively related to traditional ways of working, as stated in the introductory part of the paper. The center of work as well as the final part deals with the study of linear programming using programs that deal with this topic.
基金This project was supported by the National Natural Science Foundation of China.
文摘In this paper, we propose a modified evolutionary programming with dynamic domain for solving nonlinear IP/MIP problems with linear constraints, without involving penalty function or any transformation for the problem to a linear model or others. The numerical results show that the new algorithm gives a satisfactory performance in which it works of high speed, and accuracy in IP/MIP problems.
文摘This study investigated the effectiveness of spatial-visualization-based instruction on the mathematical problem-solving performance of 35 mathematics education students using one-group pretest-posttest quasi-experimental design. It also aimed to describe how spatial visualization is applied in solving mathematical problems. The findings of the study revealed that spatial-visualization-based instruction improved the mathematical problem-solving performance of students. The spatial-visualization ability can be applied in solving mathematical problems.
文摘This paper establishes a mathematical model of the reliability optimization design for the safe-arming system of an air-faced missile, and presents a solving method for the model. The computational results provide a valuable reference for the reliability design for the safe-arming system of an air-faced missile.
文摘Research in spreadsheet management proved that the overuse of slow thinking, rather than fast thinking, is the primary source of erroneous end-user computing. However, we found that the reality is not that simple. To view end-user computing in its full complexity, we launched a project to investigate end-user education, training, support, activities, and computer problem solving. In this project we also set up the base and mathability-extended typology of computer problem solving approaches, where quantitative values are assigned to the different problem solving methods and activities. In this paper we present the results of our analyses of teaching materials collected in different languages from all over the world and our findings considering the different problem solving approaches, set in the frame of different thinking modes, the characteristics of expert teachers, and the meaning system model of teaching approaches. Based on our research, we argue that the proportions of fast and slow thinking and most importantly their manifestation are responsible for erroneous end-user activities. Applying the five-point mathability scale of computer problem solving, we recognized slow thinking activities on both tails and one fast thinking approach between them. The low mathability slow thinking activities, where surface navigation and language details are focused on, are widely accepted in end-user computing. The high mathability slow thinking problem solving activities, where the utilization of concept based approaches and schema construction take place, is hardly detectable in end-user activities. Instead of building up knowledge which requires slow thinking and then using the tools with fast thinking, end-users use up their slow thinking in aimless wandering in huge programs, making wrong decisions based on their untrained, clueless intuition, and distributing erroneous end-user documents. We also found that the dominance of low mathability slow thinking activities has its roots in the education system and through this we point out that we are in great need of expert teachers and institutions and their widely accepted approaches and methods.
