艾约瑟与李善兰合译《圆锥曲线说》的英文底本

艾约瑟与李善兰合译的《圆锥曲线说》最早是作为金陵书局版《重学》的附卷出版的。该书影响极广,是晚清国人圆锥曲线知识的重要来源,但学界对其英文底本一直不详。借助互联网和学界同仁的帮助,参照《圆锥曲线说》特有的信息,文章找到了与其内容几乎一一对应的英文底本:英国数学家查尔斯·赫顿的《数学教程》卷2中的"圆锥曲线"。进一步的对比表明,其所据当为该书第8~10版中某一版。

CPS Modeling of CNC Machine Tool Work Processes Using an Instruction-Domain Based Approach

Building cyber-physical system(CPS) models of machine tools is a key technology for intelligent manufacturing. The massive electronic data from a computer numerical control(CNC) system during the work processes of a CNC machine tool is the main source of the big data on which a CPS model is established. In this work-process model, a method based on instruction domain is applied to analyze the electronic big data, and a quantitative description of the numerical control(NC) processes is built according to the G code of the processes. Utilizing the instruction domain, a work-process CPS model is established on the basis of the accurate, real-time mapping of the manufacturing tasks, resources, and status of the CNC machine tool. Using such models, case studies are conducted on intelligent-machining applications, such as the optimization of NC processing parameters and the health assurance of CNC machine tools.

National trends in resection of the distal pancreas

AIM:To investigate national trends in distal pancreatectomy(DP) through query of three national patient care databases.METHODS:From the Nationwide Inpatient Sample(NIS,2003-2009),the National Surgical Quality Improvement Project(NSQIP,2005-2010),and the Surveillance Epidemiology and End Results(SEER,2003-2009) databases using appropriate diagnostic and procedural codes we identified all patients with a diagnosis of a benign or malignant lesion of the body and/or tail of the pancreas that had undergone a partial or distal pancreatectomy.Utilization of laparoscopy was defined in NIS by the International Classification of Diseases,Ninth Revision correspondent procedure code;and in NSQIP by the exploratory laparoscopy or unlisted procedure current procedural terminology codes.In SEER,patients were identified by the International Classification of Diseases for Oncology,Third Edition diagnosis codes and the SEER Program Code Manual,third edition procedure codes.We analyzed the databases with respect to trends of inpatient outcome metrics,oncologic outcomes,and hospital volumes in patients with lesions of the neck and body of the pancreas that underwent operative resection.RESULTS:NIS,NSQIP and SEER identified 4242,2681 and 11 082 DP resections,respectively.Overall,laparoscopy was utilized in 15%(NIS) and 27%(NSQIP).No significant increase was seen over the course of the study.Resection was performed for malignancy in 59%(NIS) and 66%(NSQIP).Neither patient Body mass index nor comorbidities were associated with operative approach(P = 0.95 and P = 0.96,respectively).Mortality(3% vs 2%,P = 0.05) and reoperation(4% vs 4%,P = 1.0) was not different between laparoscopy and open groups.Overall complications(10% vs 15%,P < 0.001),hospital costs [44 741 dollars,interquartile range(IQR) 28 347-74 114 dollars vs 49 792 dollars,IQR 13 299-73 463,P = 0.02] and hospital length of stay(7 d,IQR 4-11 d vs 7 d,IQR 6-10,P < 0.001) were less when laparoscopy was utilized.One and two year survival after resection for malignancy were unchanged over the course of the study(ductal adenocarinoma 1-year 63.6% and 2-year 35.1%,P = 0.53;intraductal papillary mucinous neoplasm and nueroendocrine 1-year 90% and 2-year 84%,P = 0.25).The majority of resections were performed in teaching hospitals(77% NIS and 85% NSQIP),but minimally invasive surgery(MIS) was not more likely to be used in teaching hospitals(15% vs 14%,P = 0.26).Hospitals in the top decile for volume were more likely to be teaching hospitals than lower volume deciles(88% vs 43%,P < 0.001),but were no more likely to utilize MIS at resection.Complication rate in teaching and the top decile hospitals was not significantly decreased when compared to non-teaching(15% vs 14%,P = 0.72) and lower volume hospitals(14% vs 15%,P = 0.99).No difference was seen in the median number of lymph nodes and lymph node ratio in N1 disease when compared by year(P = 0.17 and P = 0.96,respectively).CONCLUSION:There appears to be an overall underutilization of laparoscopy for DP.Centralization does not appear to be occurring.Survival and lymph node harvest have not changed.

Application of Case Teaching in Primary Mathematics Pedagogy Class in Normal University

Objective： Case Teaching Method used in Primary Mathematics Pedagogy course can highlight the characteristics of pedagogy course. This method can transform learning process from the passive one in the conventional classroom to an active one, so that classroom atmosphere will become active, inspiring students＇ interest in learning, and students would have the initiative to study. Meanwhile the Case Teaching Method also put forward higher requirements for teachers. This author does some analyses of the meaning of the case teaching method implementation methods and problems based on years of teaching experience. Detailed analyses can be shown as follow

Research for Using Information Technology in the Design of Effective Mathematics Teaching Methods

The development of modem information technology has brought unprecedented impact on mathematics teaching, which affects the content of the curriculum, and teaching and its manifestations, affecting the role of teachers in the teaching process and its relationship with the students, teaching methods and impacting policies the selection and use, affecting organizational form of teaching. Mathematics curriculum standards clearly stated： the design and implementation of the mathematics curriculum should pay attention to the use of modern information technology, particularly to fully consider the impact on mathematics learning content and methods, and to provide students with a more vigorous development of rich learning resources, the modem information technology as a powerful tool for students to learn math and problem-solving, working to change the way students learn, students willing and more energy into reality, exploratory math activities.

Understanding ＂Shanghai mathematics exchange＂ between Shanghai and Britain from social and cultural perspectives

＂Shanghai mathematics exchange＂ has been a prevalent theme, as well as a controversial topic. The program of＂mathematics exchange＂ which was executed by Shanghai Municipal Education Commission and the Department of Education： which is the highest performing jurisdiction in the world for mathematics. It is important to analyse and understand this project from political, cultural, social and other different perspectives. Meanwhile, This article applies Foucault and Bourdieu theories to illustrate the exchange programme and the changes of curriculum reform both in Britain and China. Practical evidences have provided the functions and the driving forces will be supplied for the further development of education continuously.

Research on the impact of computer technology on art and design

With the rapid development of digital technology in the new century, modem technology used to provide aid for teaching is widely used. The pattern of education had been great changed in due to input digital technology .There are many tremendous changes such as the information collected and stored, the teaching process and performance, all aspects of the learner receives ways and means, especially the traditional art education be affected at the most significant way. In the traditional art teaching process, educators and learners mainly in the unarmed way of painting and design which tend to form on the art of teaching content recapitulate and mechanical reproduction of art materials for teaching situation. The art of teaching behaviors had become no creativity and creative fun. Modem art education needs innovation; needs to reflect the flavor of the era of technology. Therefore, the new model for art teaching with the perfect combination of the help of modem digital computer technology is becoming the most urgent needs.

Mathematical Debates as an Integral Part of the Learning Process

In this report, we want to touch upon two aspects of teaching mathematics in middle and high school. The first of them is the eternal question of how to teach, to motivate students and make them involved in the educational process, particularly in mathematics, where the most important factor is the natural gifts. The second aspect concerns the question which became very urgent in the modern world： what, in fact, we want to teach the students in a world over-saturated with information of any kind. As a result of the information blowup, two aspects emerge. On the one hand, straight passing over the skills and knowledge to the students becomes irrelevant today （just like a teacher or lecturer, merely speaking to an audience, who is not that relevant for young people, accustomed from childhood to perceive information through dynamic color visuals）. On the other hand, there is a change in emphasis in the objective function of the educational process from gaining knowledge to acquisition of skills of working with information, consideration and estimation, and choosing of the optimal strategy of a number of possibilities. This trend can be seen in the selection of problems in the international examination PISA （Program for international Student Assessment）, in the new curriculum in mathematics and in the selection of problems in the matriculation exams. These considerations （along with others） make teachers took for rtew forms of teaming, more appropriate to the demands of modernity. In this report we suggest the idea of using a mathematical competition called ＂Mathematical debate＂ （mathematical fight） as an integral part of the educational process at different levels of learning mathematics, as an appropriate tool.

Analysis on the Actual Teaching Effectiveness of Course Ethnic Theory and Policy --School of Preparatory Education for the Minorities of Ningxia University Is Taken for Example

In this paper, many factors restricting and affecting the actual effectiveness of course ethnic theory and policy are summarized, among which student factors mainly include unavailable major foundation, new strange course, and having no idea about how to learn in the short term, narrow knowledge scope because of the examination-oriented education, poor self-control ability and attitude toward learning, and difference among the students of different minorities in the preparatory education, so that the actual teaching effectiveness is different. The teaching contents provided by teachers are not enough scientific, and the teaching pertinence is not strong; all parts of teaching and especially the effectiveness of processing the key and difficult points are not good enough, so that students are guided not very well to actively participate in classroom teaching activities, etc. Subsequently, an analysis is made around integrating and excavating teaching materials, understanding teaching contents, valuing the teaching process, and helping the students of preparatory education change from passively learning knowledge to initiatively accepting knowledge in a targeted way, and then some approaches, methods, and strategies of improving the actual teaching effectiveness of the course are explored.

Exploration of the curriculum resource library construction of university network database

With the development of information technology, how to build a resource library that adapt to the development of vocational education, professional characteristics favor standardized resource sharing between vocational schools, scientific and open career teaching vocational education teaching reform and information technology become the urgent problem. This article starts from the repository construction characteristics and the actual situation of the College of departure, and actively explores the network database curriculum resource library building programs.

Phased Teaching of Higher Mathematics

Mathematics is one of the basic courses of public university freshmen non-math majors, it is an important tool for students to learn the successor program, and the learning process can develop and exercise their thinking and ability. Given the differences in different periods of higher mathematics learning objects, as well as students learning content in different periods and in different conditions, teachers in the teaching mode of teaching could be considered stage of teaching. That is, different content based on various stages of teaching and student learning, and use different teaching methods and means to carry out teaching.

Neural Networks and the Study of Time Series： An Application in Engineering Education

Time series are an important object of study in sciences, engineering and business, especially in cases where it is expected to know, predict and optimize behaviors. In this context, we intend to show the feasibility of using artificial neural networks in the study of several time series in an engineering course, especially those that have no overt behavior or are not able to be modeled mathematically in a simple way and have direct application in the education of future engineers.

A DEA Model with an AHP Restraint Cone

A concept of AHP restraint cone is firstly introduced, and then a DEA model with an AHP restraint cone is imposesed. This model not only remains all the characteristics of the conventional DEA model, but also reflects preference of the decision maker. Some relationships between DEA model and AHP method, on the condition that the judgement matrixes in AHP are completely consistent, is discussed in this paper. Finally, a case study is provided to evaluate 20 junior middle schools of a city in China.