scholarly journals The Opinions of Mathematics Teachers about Using Mathematical Modeling in the Solution of Daily Life Problems and an Application of the Chinese Remainder Theorem

2021 ◽  
Vol 4 (3) ◽  
Author(s):  
Mustafa Gök ◽  
◽  
Nihal Demir ◽  

The opinions of mathematics teachers about using mathematical modeling (MM) in daily life problems and their use of MM in solving a daily life problem were examined within the scope of the graduate-level MM course in this study. The research was designed as a case study. Participants are five mathematics teachers selected by the purposive sampling method. The data were obtained through a structured form containing questions about a daily life problem and using MM in a daily life problem. Teachers were given one week to answer the questions on this form. Descriptive analysis was performed on the data obtained from the teachers’ problem solving, and content analysis was carried out on the data containing the teachers’ opinions. The findings determined that although the modeling processes were generally used appropriately by the teachers in solving a daily life problem, the process of understanding the problem was quickly mentioned, the teachers had difficulties in giving the most effective solution during the evaluation stage, and the communication stage was mostly ignored. It was also found out that MM could be beneficial in many ways in solving daily life problems. On the other hand, it was indicated that there may be difficulties in terms of student-teacher-environment and that teachers give very limited space to MM in classroom practices. It can be stated that the tendency of teachers to use the approaches they are accustomed to instead of MM in the solution of daily life problems is effective in the emergence of this situation.

2021 ◽  
Author(s):  
Mustafa Gök ◽  
Nihal Demir

The opinions of mathematics teachers about using mathematical modeling (MM) in daily life problems and their use of MM in solving a daily life problem were examined within the scope of the graduate-level MM course in this study. The research was designed as a case study. Participants are five mathematics teachers selected by the purposive sampling method. The data were obtained through a structured form containing questions about a daily life problem and using MM in a daily life problem. Teachers were given one week to answer the questions on this form. Descriptive analysis was performed on the data obtained from the teachers’ problem solving, and content analysis was carried out on the data containing the teachers’ opinions. The findings determined that although the modeling processes were generally used appropriately by the teachers in solving a daily life problem, the process of understanding the problem was quickly mentioned, the teachers had difficulties in giving the most effective solution during the evaluation stage, and the communication stage was mostly ignored. It was also found out that MM could be beneficial in many ways in solving daily life problems. On the other hand, it was indicated that there may be difficulties in terms of student-teacher-environment and that teachers give very limited space to MM in classroom practices. It can be stated that the tendency of teachers to use the approaches they are accustomed to instead of MM in the solution of daily life problems is effective in the emergence of this situation.


2018 ◽  
Vol 7 (1) ◽  
Author(s):  
Cecil Hiltrimartin ◽  
Yusuf Hartono ◽  
Scristia Scristia

This studyaimed  to analyze mathematicsteachersconceptions(beliefs) about mathematical modeling in Palembang. In this study presents a case study of 60 mathematics teachers, investigating their conceptions about mathematical modeling and their experiences of working with modeling activities in Palembang. In particular, basic concepts of mathematical models, mathematical modeling, and mathematical modeling in education were analyzed. Quantitative data were collected through a questionnaire of sample of practicing teachers of mathematics in Palembang. The data showed that mathematics teachers in Palembang hold several misconceptions about models and modeling, particularly regarding aspects of the mathematical modeling process. Specifically, the majority of teachers does not understand that the mathematical modeling process always requires making choices and assumptions, and that mathematical modeling situations must come from real-world scenarios. The results indicate that the teachers in this study seem not to give priority to integrating mathematical modeling into their everyday mathematics teaching.


2017 ◽  
Vol 6 (4) ◽  
Author(s):  
Ika Santia ◽  
Vivi Kusumaningrum

The purpose of this research is to identify which aspect of the mathematics connection of inclusion class, especially slow learner student face. The subject of the research is 10 seventh grade slow learner in YBPK Junior High School, Kediri. While the aspect mathematical connection that had been examined was the ability of student in (1) stating relationship between facts, concepts, or mathematics principle; (2) developing mathematical models of the daily life problems; (3) mentioning the concepts which underlie the solution from the given mathematical problems. The technique for data collection was taken from 3 times test, interview, and observation. Then, the researcher used technique triangulation. The data analysis was presented by reducing, pre, sensing and concluding the data. Results show that the slow learner students tend to weak in (1) can’t writing down the reasons; (2) using picture and illustration to show these problems; and (3) developing a mathematical model without right literation.


2017 ◽  
Vol 11 (1) ◽  
pp. 35-63
Author(s):  
Ruth Roded

Beginning in the early 1970s, Jewish and Muslim feminists, tackled “oral law”—Mishna and Talmud, in Judaism, and the parallel Hadith and Fiqh in Islam, and several analogous methodologies were devised. A parallel case study of maintenance and rebellion of wives —mezonoteha, moredet al ba?ala; nafaqa al-mar?a and nush?z—in classical Jewish and Islamic oral law demonstrates similarities in content and discourse. Differences between the two, however, were found in the application of oral law to daily life, as reflected in “responsa”—piskei halacha and fatwas. In modern times, as the state became more involved in regulating maintenance and disobedience, and Jewish law was backed for the first time in history by a state, state policy and implementation were influenced by the political system and socioeconomic circumstances of the country. Despite their similar origin in oral law, maintenance and rebellion have divergent relevance to modern Jews and Muslims.


2021 ◽  
pp. 204275302110229
Author(s):  
Rhett Loban

This article explores the use of modding as a formal tool for learning history. The article examines data from a formal analysis of Europa Universalis IV (EUIV), a survey of 331 EUIV forum participants and a case study of 18 university participants. Significant quantitative survey data indicated that 45% (149/331) of participants had modified EUIV, and of the 125 participants who responded with comments about modding, a significant number (86/125 responses or 68.8%) explained how they had learnt about history, geography or other subjects through the modding process. Closer analysis of survey and case study responses and mods reveals the variety of ways participants learnt and critiqued history through the modding process. The article discusses the data and the pedagogical affordance of modding in a few steps. First, the article briefly explores the evidence that indicates modding is popular within the EUIV gaming community. In this instance, it examines whether given the popularity of gaming practice, modding might also be seen as a new casual form of engagement with games. Second, the article reviews the modding process in EUIV and examines how both playing and creating mods may be beneficial for learning history. Modding is examined in terms of its pedagogical importance and the unique educational opportunities it may offer that are not otherwise accessible through other forms of game-based learning. Finally, the article explores how and what the case study participants learnt when they were tasked with creating and implementing playable mods to demonstrate their understanding of history. Overall, the article considers the growing importance of mods, how learners can create and represent history using mods and how mods can provide a platform for learners to develop their own critique and analysis of official history.


2020 ◽  
Vol 95 (2) ◽  
pp. 311-333
Author(s):  
Iwona Sobkowiak-Tabaka ◽  
Aleksandr Diachenko

AbstractThe aim of this paper is to develop a systematic approach to understanding daily life at Late Palaeolithic camps and identifying its impact on broader site formation processes. Late Palaeolithic contexts are often poorly preserved, especially those found in the sandy sediments of the North European Plain. However, taphonomic obstacles may be overcome through the introduction of spatial statistics into research procedures. We illustrate our approach using a case study of Federmesser and Swiderian campsites at the site of Lubrza 10, Western Poland. The locational analysis of hearths, features that constitute the most important integrative social foci of Palaeolithic camps, provides information on activity areas, seasonality and occupational duration. Additionally, we examine the function of spatially distinct artefact concentrations and their methods of aggregation. The presented research procedure enables us to trace the contribution of individuals to group behaviour, as well as specific individual activities at both camps.


Author(s):  
Priyanka Sharma ◽  
Anita Khokhar

Abstract Background: There has been a reported increase in cases of domestic violence during the coronavirus disease (COVID-19) pandemic, however systematic research data is still unavailable. This study was conducted to find out domestic violence prevalence and coping strategies among married adults during lockdown due to COVID-19 in India. Methodology: A cross-sectional study was conducted among married men and women in the month of April 2020. Data regarding socio-demographic profile, domestic violence and coping strategies employed during lockdown was collected thorough google forms. 97.9% forms were completely filled by the respondents. Descriptive analysis was done. Results: Out of 94 study participants, about 7.4% (n=7) had faced domestic violence during lockdown. Out of these 7 participants, about 85.7% (n=6) reported increased frequency of domestic violence during lockdown. About half of the victims chose to ignore it (57.1%, n=4) or used yoga/meditation (42.9%, n=3) to cope. Conclusion: With about 7.4% study participants facing domestic violence during lockdown, it is necessary to study its detailed epidemiology in pandemics so that interventions like helpline numbers, screening of patients during tele-consultation, etc. which can be delivered even during lockdown with the help of healthcare and frontline workers could be devised to address this problem.


2020 ◽  
Vol 14 ◽  
Author(s):  
Janne M. Hahne ◽  
Meike A. Wilke ◽  
Mario Koppe ◽  
Dario Farina ◽  
Arndt F. Schilling

Author(s):  
Jianhong Ye ◽  
Daoge Wang ◽  
Hua Zhang ◽  
Hong Yang

Carsharing as a service has been growing rapidly worldwide. Its expansion has drawn wide attention in the research community with regard to the underlying driving factors and user characteristics. Despite these extensive investigations, there are still limited studies focusing on the examination of users using carsharing as a commuting mode. The answers to questions such as what kind of people would like to use carsharing for commuting and why they frequently use carsharing to commute are not clear. To enrich our understanding of these problems, this paper aims to investigate carsharing commuters in a mega city. Specifically, it intends to integrate the actual user order data with survey data from 1,920 participants to uncover the characteristics of carsharing commuters. Data from the Evcard carsharing systems in Shanghai were explicitly analyzed. Through descriptive analysis and logistic regression models, the characteristics and critical factors that affect the choice of carsharing as a commuting mode were captured. The results show that: 1. carsharing commuters mostly live or work in suburban areas in which public transport accessibility is limited; 2. carsharing commuters are more likely to be highly educated, in a higher income bracket, and older than other carsharing members; 3. high-frequency carsharing commuters own a reduced number of private cars; and 4. those high-frequency carsharing commuters with higher income are less sensitive to the carsharing costs caused by congestion. The findings in the study offer some insights into carsharing commuters and provide some supportive information for considering policies in developing carsharing systems in urban areas.


2013 ◽  
Vol 39 (1) ◽  
pp. 105-118
Author(s):  
Jacek Kurnatowski

Abstract Identification of coefficients determining flow resistance, in particular Manning’s roughness coefficients, is one of the possible inverse problems of mathematical modeling of flow distribution in looped river networks. The paper presents the solution of this problem for the lower Oder River network consisting of 78 branches connected by 62 nodes. Using results of six sets of flow measurements at particular network branches it was demonstrated that the application of iterative algorithm for roughness coefficients identification on the basis of the sensitivity-equation method leads to the explicit solution for all network branches, independent from initial values of identified coefficients.


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