Integration of Mathematics History into Junior Middle School Education: A Pedagogical Approach to Enhance Mathematical Literacy

The integration of the history of mathematics into junior middle school mathematics education represents a significant focus of international research in mathematics and education.The mathematics curriculum standards for compulsory education have emphasized the importance of incorporating the history of mathematics,aiming to gradually integrate it into the mathematics classroom.However,in the practical implementation of junior middle school mathematics education,the effective combination of the history of mathematics with teaching methodologies remains largely unexplored.This article explores the integration of junior middle school mathematics education and the history of mathematics,aiming to provide classroom teaching recommendations for teachers and promote the formation of students’mathematical literacy.

The Islamic Studies in China:Research in the Field of History

A history of the Islamic studies in China,not only includes studies on world Islam,it also includes research on Islam and Muslims in China.Before the Reform and Opening Up,China did not achieve much in this field,since then,the research field of Islam and Muslim in China has been expanding and the results have been published,forming a new trend.In this field,scholars such as Jin Yijiu,Li Xinghua,Qin Huibin,Zhou Guoli,Sha Qiuzhen,Zhou Xiefan,Wu Yungui,and Yang Huaizhong have made the most outstanding achievements.Especially in the collation of reference books and historical materials,in the past 20 years,The Encyclopedia of the history of Islam,The Chinese Encyclopedia of Islam have emerged,and the Chinese and World Encyclopedia of Islamic Law and other important historical books have been published.This paper focuses on the field of historical research and divided into academic research history at home and abroad,which is discussed from several fields such as general history,special history,national history,and regional history.

Combined Effects of Family History of Cardiovascular Disease and Serum C-reactive Protein Level on the Risk of Stroke: A 9.2-year Prospective Study among Mongolians in China

Objective We aimed to evaluate the combined effect of a family history of cardiovascular disease（CVD） and high serum C‐reactive protein（CRP） on the stroke incidence in an Inner Mongolian population in China. Methods A prospective cohort study was conducted from June 2002 to July 2012, with 2,544 participants aged 20 years and over from Inner Mongolia, China. We categorized participants into four groups based on the family history of CVD and CRP levels. Results We adjusted for age; sex; smoking; drinking; hypertension; body mass index; waist circumference; and blood glucose, triglycerides, low‐density lipoprotein cholesterol, and high‐density lipoprotein cholesterol levels. Compared with the group with no family history of CVD/low CRP levels, the group with family history of CVD/high CRP levels had a hazard ratio（HR） of 1.78 [95% confidence interval（CI）, 1.03‐3.07; P = 0.039] of stroke, and an HR of 2.14（95% CI, 1.09‐4.20; P = 0.027） of ischemic stroke. The HRs of hemorrhagic stroke for the other three groups were not statistically significant（all P 〉 0.05）. Conclusion Participants with both a family history of CVD and high CRP levels had the highest stroke incidence, suggesting that high CRP levels may increase stroke risk, especially of ischemic stroke, among individuals with a family history of CVD.

The Application of Geographic Information System(GIS) to the Study of Chinese History

Historical geographic information system construction echoes the call of academic development in the information era and demonstrates the in-depth advancement of history studies. In recent years, an increasing number of data platforms have been built to facilitate historical information storage, display, management and analysis. In such a context, the geographic information system(GIS) begins to contribute to the study of Chinese history. Its contribution is highlighted in nine areas: historical climate, fluvial landforms, town economies, rural settlements, hydraulic societies, environmental changes, ancient cities, ancient maps and HGIS-enabled research methods. The application of GIS to the study of Chinese history initiates a reform in research methods and at the same time upgrades the philosophy of history studies, facilitating the utilization of a diversity of historical data(documents, ancient maps, remote-sensing images, archaeological information, etc.) for dynamic tracing and multi-factor comprehensive research. At present, restricted by traditional disciplinary boundaries, the construction of HGIS platforms remains slow and insufficient, making it difficult to extensively apply GIS to the study of Chinese history.

Greek Texts and the Rigorization of Analysis:An Inquiry into J.L.Lagrange's Work on the History of Mathematics

This paper offers a study of J.L.Lagrange's research on history of mathematics,aiming to clarify Lagrange's intention in carrying out historical work.To this end,I first document how Lagrange worked with and exerted his influence on other scholars in the translation and diffusion of ancient Greek texts.Second,investigating Lagrange's style in doing and writing history of mathematics,this paper takes a new perspective and elucidates his motivation in these activities.In particular,it focuses on Lagrange's presentation of the history of calculus while he was teaching analysis at the Ecole Polytechnique(1795-1799)so as to clarify the function of history in Lagrange's mathematical works.My thesis is that Lagrange's intention in examining the different methods employed by his predecessors was to find inspiration and useful contents in his search for the proper approach to mathematical problems.I thus argue in this paper that history served as a guide or methodology for Lagrange's mathematics.Meanwhile,through an analysis of his historical writing,this paper points to four epistemological values according to which Lagrange judged various historical methods of differential calculus:generality,simplicity,clarity,and rigor.Lagrange's move to rigorize analysis was connected to his interest in and research of Greek texts;he was attempting to introduce the rigor of the ancient Greeks'demonstration in his works of analysis.

A Study of Students＇ Opinions About History Subjects in the Social Studies Curriculum

Social studies combines social sciences and the humanities, and has the purpose of raising effective citizens. There are many different areas integrated in social studies including history, geography, philosophy and psychology. Social studies is the presentation of the information produced by these areas in framework of a curriculum. Social studies curriculum is a multi-dimensional program. One of the objectives of this program is to raise individuals who know about their past and shape their future with the help of the lessons they learn from history. In this context, the aim of this study is to determine sixth grade students＇ perspective to the history subjects in social studies curriculum, learn the place of history in their lives and see how history subjects are taught in classrooms. This study is limited to the 2014-2015 academic year. The participants were identified using random sampling, a probability-based sampling method. This is a qualitative study. The study includes interviews with eight sixth graders, of whom four were female and four were male. The study data were collected in semi-structured interviews. The interviews were recorded and transcribed. The data were analyzed using descriptive analysis. The study found that the students enjoyed learning history, had positive opinions about their history grades and their teachers continued to teach history using traditional methods. They also felt that history contributed to their lives. Based on the data collected, the study makes specific suggestions.

The NCC mathematical modeling framework for decision-making of six major cancers

Objective:Mathematical modeling and simulation is a useful research method to inform decision-making.This article aims to describe the National Cancer Center(NCC)modeling framework and how well it reproduces observed empirical data for six major cancers.Methods:We developed the NCC modeling framework for six major cancers in China(lung,liver,stomach,colorectal,esophageal,and breast),which simulates the life-histories represented by states among normal,pre-cancerous lesion,stage-specific invasive cancer,and death for six cancers separately.Each NCC simulation model could be illustrated as an integrated framework of 3 modules:a demography module,natural history module,and screening module.Combined with costs and health utilities data,the models could have many detailed outputs for informing decisions,including the harm of screening(e.g.,false positives,complications,and overdiagnosis),healthcare costs,and benefits(quality-adjusted life years gained,cancer incidence and mortality,and investment returns).We calibrated the models to Chinese population-based observations on cancer incidence,mortality,and stage distribution.All models are validated by comparing model simulated results to data observed from nationwide cancer registration and a large prospective cohort study.Results:The simulated results from the calibrated models consistently match the epidemiological patterns in six major cancer incidence,mortality,and stage distributions in China.Model projected age-specific cancer incidence and mortality were close to the observed data in the national cancer registration.The NCC modeling framework reproduced the cumulative cancer cases and deaths observed in the prospective cohort study at 7.0 and 10.8 years of follow-up.Model estimated net survival rates also consistent with population-based statistics.Conclusion:The NCC modeling framework’s ability to reproduce the observed population-level cancer statistics and the cancer cases in a prospective cohort study suggests its results are reliable to inform decision-making related to six major cancers in China.

Risk factors for the occurrence of insulinoma: a case-control study

BACKGROUND: The etiology of insulinoma is poorly understood. Few studies investigated the possible roles of environmental factors and lifestyle in the pathogenesis of insulinoma. The aim of this study is to identify risk factors associated with occurrence of insulinoma in the Chinese population. METHODS: This study consisted of 196 patients with insulinoma and 233 controls. Demographic information of the patients and controls and risk factors of the disease were analyzed. Univariate and unconditional multivariable logistic regression analyses were made to estimate odds ratios (ORs) and possible risk factors. RESULTS: Approximately 68.88% (135/196) of the patients were from rural areas in contrast to 10.30% (24/233) of the controls (P【0.0001). This difference was confirmed by the multivariate analysis (OR=4.950; 95% CI: 2.928-8.370). Family history of pancreatic endocrine tumor (OR=16.754; 95% CI: 2.125-132.057) and other cancers (OR=2.360; 95% CI: 1.052-5.291) was also related to a high-risk population of insulinoma. CONCLUSION: Rural residents or people who have a family history of pancreatic endocrine tumor and other cancers are a high-risk population of insulinoma.

Experimental study of the movement of control fluid in compound perforation

The interaction between the high pressure gas and the control fluid and the movement mechanism of the control fluid in compound perforation were studied by a series of large-scale experiments, where the movement behavior of the control fluid was observed. The curves of measured pressure were analyzed, a mathematical model for the rigid movement of the control fluid was established, and the movement velocity of control fluid was analyzed. Moreover, the velocity from experimental results and velocity from an analytical solution were contrasted. The movement of the control fluid in the initial stage was similar to the rigid movement; however, the propagation of the pressure wave in the control fluid should be taken into account. Experimental results are significant for research on the movement mechanism of control fluid in compound perforation.

The History of the Derivation of Euler’s Number

This paper summarizes the works of numerous inspiring hard-working mathematicians in chronological order who have toiled the fields of mathematics to bring forward the harvest of Eulers number, also known as Napiers number or more infamously, e.

On the Combination of “The Textual Research on Historical Documents” and “The Comparative Study of Historical Data” —— and a Discussion on “The Law of Quan-ma and Gui-mei” in Chinese Language Studies

In Chinese language studies, both “The Textual Research on Historical Documents” and “The Comparative Study of Historical Data” are traditional in methodology and they both deserve being treasured, passed on, and further developed. It will certainly do harm to the development of academic research if any of the two methods is given unreasonable priority. The author claims that the best or one of the best methodologies of the historical study of Chinese language is the combination of the two, hence a new interpretation of “The Double-proof Method”. Meanwhile, this essay is also an attempt to put forward “The Law of Quan-ma and Gui-mei” in Chinese language studies, in which the author believes that it is not advisable to either treat Gui-mei as Quan-ma or vice versa in linguistic research. It is crucial for us to respect always the language facts first, which is considered the very soul of linguistics.

Is the Leader Effective in the Survival of the Managed Organization-a Case Study From the 20th Century

We can find many cases in the scientific literature,where the leader(CEO)of a political or business organisation is being declared a"hero"or"damned"in the"court of history"upon his/her action(s).The case study presented here analyses a politician who was active in the first half of the 20th century,examining if his activity was ended with success or failure for the state he led.The analysis focuses only on the decisions taken in the two world wars that were relevant for the'survival'of the organization he led.I examine his decisions that were made in a non'business-as-usual'situation from the view if they helped or threatened the survival of the state he led in the short and long term.In a particular situation,the decision has to be taken by the leader there and then,and it may not be possible to change or improve the decision later on.

Studies on the History of Pangda Family in Markham

The famous female writer Ma Lihua in her well- known book The Red Mountain Ranges in East Tibet described the social status and influence of the Pangda family.She wrote:"The famous Pangda family in Tibetan pre-modern society stands on both

Experimental and Numerical Study of Wave-Induced Long-Shore Currents on A Mild Slope Beach

The long-shore current distribution on a mild slope beach is studied by combining the numerical model and the physical experiment. The experiments of long-shore currents under the action of regular and irregular waves are conducted on mild beaches with different slopes in a wave basin. A numerical model is established, which includes a wave propagation model, a wave breaking model and a long-shore current model. The validity of the numerical model is proved by the comparison of its results with the results of the experimental model. It is concluded that the wave-ioduced long-shore current is influenced significantly by the incident wave height, the wave angle and the beach slope. Its application to the Bohai Bay indicates that the wave-induced currents have the same order of magnitude as the tide currents in the near-shore zone of mill slope beach. In the design of wastewater ouffall locations on a mild-slope beach with shallow water of the Bohai Bay, the position of the outfall should be 10 km away from the shoreline, which is outside of the surf-zone.

Past and Future of Mathematical Geology

This is a brief review of alternative methods of problem-solving in geoscience with emphasis on the role of mathematical geology. It is desirable to maintain a clear-cut distinction between reliable facts which can be stored in data banks and concepts that can be incorporated in the specifications of statistical models designed for specific purposes. If possible, subjective probabilities should be incorporated in hypotheses that are to be tested by statistical inference.

Characteristics of the Function of Ice Force on Vertical Cylindrical Piles

A lot of tests on ice forces on vertical cylindrical piles are conducted in the ice basin of ice laboratory in Tianjin University to identify the characteristics of ice forces on fixed platforms in the Bohai Gulf. A function of ice forces is simplified on basis of test data, and the characteristics of the ice forces including the amplitude of the force and the breaking frequency of the ice sheet is detailed by use of the Fast-Fourier-Transform method, The results show that the ice breaking frequency presents a linear relationship with the ratio of ice moving velocity to ice thickness at low velocities. At high velocities, the frequency remains constant with the increase of the ratio of ice moving velocity to ice thickness. These conclusions are compared those published in literature.

Developing a Computer Program for Detailed Study of Planing Hull＇s Spray Based on Morabito＇s Approach

Recently, Morabito(2010) has studied the water spray phenomena in planing hulls and presented new analytical equations. However, these equations have not been used for detailed parametric studies of water spray around planing hulls. In this paper, a straight forward analysis is conducted to apply these analytical equations for finding the spray geometry profile by developing a computer program based on presented computational process. The obtained results of the developed computer program are compared against existing data in the literature and favorable accuracy is achieved. Parametric studies have been conducted for different physical parameters. Positions of spray apex are computed and three dimensional profiles of spray are examined. It is concluded that spray height increases by an increase in the speed coefficient or the deadrise angle. Ultimately, a computational process is added to Savitsky's method and variations of spray apex are computed for different velocities. It is shown that vertical, lateral, and longitudinal positions of spray increase as the craft speed increases. On the other hand, two new angles are defined in top view and it is concluded that they have direct relation with the trim angle. However, they show inverse relation with the deadrise angle.

Prevalence of Family History of Cancer among Gastric Cancer Patients at Brazilian National Cancer Institute

Background: Gastric cancer is the third most incident malignancy and the fifth leading cause of death in the world. In Brazil, it is the fourth most common tumour in men and the fifth in women. Familial aggregation of this tumour is being studied and discussed by experts. Aim: Determine the frequency of family history of cancer in patients with gastric cancer, suggesting familial aggregation or increased risk for hereditary cancer syndromes. Methods: This is a retrospective cross-sectional study carried out from January 2011 to March 2015 at the Department of Abdominal and Pelvic Surgery of the Brazilian National Cancer Institute (INCA). Data were collected from electronic medical records and analyzed using SPSS Statistics? version 20. Results: 873 patients with gastric adenocarcinoma were analyzed. A family history of cancer was reported by 451 patients (51.6%), which reported cancer in 878 relatives, of which 110 (12.6%), reported having more than three relatives with any type of cancer. The most prevalent malignancies among these relatives were gastric cancer (21.3%) and breast cancer (9.5%). Conclusion: Most of the patients had cancer family history, being gastric cancer the most common. The high percentage of cancer family history confirms the importance of collecting this information, whose lack reflects professional negligence, as family history study can serve as a low-cost tool, favoring prevention and early diagnosis, situations where morbidity and mortality are smaller, thus reducing health costs and assistance and preserving lives.