The application level of mathematics in each science discipline signs the level of development of this science. With the advancement of science and technology, especially the rapid development of computer technology, ...The application level of mathematics in each science discipline signs the level of development of this science. With the advancement of science and technology, especially the rapid development of computer technology, mathematics has permeated from natural scientific technology to agricultural construction, from economic activities to all areas of social life. Generally, when the actual problem requires us to provide quantitative results of analysis, forecasting, decision making, control and other aspects for real object under study, we are often inseparable from the application of mathematics. Mathematical modeling is the key to this process, whose purpose is to make mathematics applied to social and social services, and using mathematics to solve practical problems is through mathematical models. When using mathematical methods to solve some practical problems, we usually first transfer practical problems into mathematical language, and then abstract them into a mathematical model.展开更多
This paper introduces the main methods and steps of modeling principle by ordinary differential equations, and is used to explore the differential equation model to solve some practical problems, some features of the ...This paper introduces the main methods and steps of modeling principle by ordinary differential equations, and is used to explore the differential equation model to solve some practical problems, some features of the related problems. With the development of science and technology and production practice, differential equation is more closely connected with other subjects, and a mathematical model for some practical problems of good.展开更多
In this paper, we present life and scientific work of Dr. Milog Radojcic （1903-1975）, the professor of the University of Belgrade and corresponding member of the Serbian Academy of Science and Arts. In the backgroun...In this paper, we present life and scientific work of Dr. Milog Radojcic （1903-1975）, the professor of the University of Belgrade and corresponding member of the Serbian Academy of Science and Arts. In the background of all of Radojcic＇s scientific works were the doctrine of anthroposophy and geometry as its essential part. It led him to, at the time, most contemporary problems in mathematics and mathematical physics. His interest in Medieval art reveals a personality capable to unify by itself artistic and scientific worldview. His published works were digitized in 2008 at the Mathematical Institute of the Serbian Academy of Sciences and Arts and exhibited as a part of the virtual library of the National Center for Digitization. Some of his papers, both published and unpublished ones, are extremly actual and their republishing could be very important not only for scientific but also for general public as well展开更多
This paper presents different views on electrode modelling, which include electrode electrochemistry models for modelling the effects of electrode-electrolyte interface, electric field electrode models for modelling e...This paper presents different views on electrode modelling, which include electrode electrochemistry models for modelling the effects of electrode-electrolyte interface, electric field electrode models for modelling electrode geometry, and electrode models for modelling the effects of electrode common mode voltage and double layer capacitance. Taking the full electrode models into consideration in electrical impedance tomography (EIT) will greatly help the optimised approach to a good solution and further understanding of the measurement principle.展开更多
Teaching goal design is an important link of teaching design, which has the teaching, learning and measurement function. How to establish the appropriate teaching goal and properly state to enhance its guidance and de...Teaching goal design is an important link of teaching design, which has the teaching, learning and measurement function. How to establish the appropriate teaching goal and properly state to enhance its guidance and detection function are the important tasks of teaching design. This paper makes a programming and systematic analysis on the aspects of teaching goal design theory, teaching goal statement mode and technology, teaching goal statement and design and teaching goal design detection.展开更多
Today＇s math education basic syllabus gives an ever increasing emphasis to Geometry and Patterns. Curricula also advocate an approach that allows student to understand the concepts involved supported by dynamical com...Today＇s math education basic syllabus gives an ever increasing emphasis to Geometry and Patterns. Curricula also advocate an approach that allows student to understand the concepts involved supported by dynamical computer tools. However, there is not much research work joining these paradigms. Therefore, a case study was developed, with 9th grade students （14-15 years old）, to evaluate the impact of a creative approach to isometries and symmetries-friezes, rosaceas （rosettes） and wallpapers-centered in patterns （reproduction, continuation, completion, description and creation） and using Geometer＇s Sketchpad software to solve, mainly in pairs, and discuss, with the whole class, the challenging tasks proposed, involving the formulation of hypothesis, argumentation and justification of the reasoning. The statistical analysis of the quantifiable data and content analysis of the qualitative data, collecting trough enquiry, direct observation and documental analysis （involving questionnaires, field notes, logbook, pre-tests and post-test, other works of the students including those computer related, and internal documents of the school） enable to conclude positively regarding the main research question underlying the study. In fact, it led to the conclusion that the teaching strategy implemented has contributed to deepen the student＇s knowledge and skills on geometry, mathematical communication and autonomy as well as to develop a closer relation with the field of geometry itself. This article focuses on one of the cases studied. The pair was selected due to be representative of most students and due to their communication skills.展开更多
文摘The application level of mathematics in each science discipline signs the level of development of this science. With the advancement of science and technology, especially the rapid development of computer technology, mathematics has permeated from natural scientific technology to agricultural construction, from economic activities to all areas of social life. Generally, when the actual problem requires us to provide quantitative results of analysis, forecasting, decision making, control and other aspects for real object under study, we are often inseparable from the application of mathematics. Mathematical modeling is the key to this process, whose purpose is to make mathematics applied to social and social services, and using mathematics to solve practical problems is through mathematical models. When using mathematical methods to solve some practical problems, we usually first transfer practical problems into mathematical language, and then abstract them into a mathematical model.
文摘This paper introduces the main methods and steps of modeling principle by ordinary differential equations, and is used to explore the differential equation model to solve some practical problems, some features of the related problems. With the development of science and technology and production practice, differential equation is more closely connected with other subjects, and a mathematical model for some practical problems of good.
文摘In this paper, we present life and scientific work of Dr. Milog Radojcic （1903-1975）, the professor of the University of Belgrade and corresponding member of the Serbian Academy of Science and Arts. In the background of all of Radojcic＇s scientific works were the doctrine of anthroposophy and geometry as its essential part. It led him to, at the time, most contemporary problems in mathematics and mathematical physics. His interest in Medieval art reveals a personality capable to unify by itself artistic and scientific worldview. His published works were digitized in 2008 at the Mathematical Institute of the Serbian Academy of Sciences and Arts and exhibited as a part of the virtual library of the National Center for Digitization. Some of his papers, both published and unpublished ones, are extremly actual and their republishing could be very important not only for scientific but also for general public as well
文摘This paper presents different views on electrode modelling, which include electrode electrochemistry models for modelling the effects of electrode-electrolyte interface, electric field electrode models for modelling electrode geometry, and electrode models for modelling the effects of electrode common mode voltage and double layer capacitance. Taking the full electrode models into consideration in electrical impedance tomography (EIT) will greatly help the optimised approach to a good solution and further understanding of the measurement principle.
文摘Teaching goal design is an important link of teaching design, which has the teaching, learning and measurement function. How to establish the appropriate teaching goal and properly state to enhance its guidance and detection function are the important tasks of teaching design. This paper makes a programming and systematic analysis on the aspects of teaching goal design theory, teaching goal statement mode and technology, teaching goal statement and design and teaching goal design detection.
文摘Today＇s math education basic syllabus gives an ever increasing emphasis to Geometry and Patterns. Curricula also advocate an approach that allows student to understand the concepts involved supported by dynamical computer tools. However, there is not much research work joining these paradigms. Therefore, a case study was developed, with 9th grade students （14-15 years old）, to evaluate the impact of a creative approach to isometries and symmetries-friezes, rosaceas （rosettes） and wallpapers-centered in patterns （reproduction, continuation, completion, description and creation） and using Geometer＇s Sketchpad software to solve, mainly in pairs, and discuss, with the whole class, the challenging tasks proposed, involving the formulation of hypothesis, argumentation and justification of the reasoning. The statistical analysis of the quantifiable data and content analysis of the qualitative data, collecting trough enquiry, direct observation and documental analysis （involving questionnaires, field notes, logbook, pre-tests and post-test, other works of the students including those computer related, and internal documents of the school） enable to conclude positively regarding the main research question underlying the study. In fact, it led to the conclusion that the teaching strategy implemented has contributed to deepen the student＇s knowledge and skills on geometry, mathematical communication and autonomy as well as to develop a closer relation with the field of geometry itself. This article focuses on one of the cases studied. The pair was selected due to be representative of most students and due to their communication skills.
