by Michael. Gr. Voskoglou
Original Research
The present work focuses on a classroom application for evaluating the effectiveness of the Flipped Learning methodology for teaching mathematics to management students. Using linguistic (qualitative) grades, the assessment of the mean student performance is realized with the help of grey numbers and the assessment of their quality performance by calculating the Grade Point Average (GPA) index. A neutrosophic assessment method is also applied for evaluating the overall student performance, because the instructor had doubts about the accuracy of the grades assigned to some students.
American Journal of Applied Mathematics and Statistics. 2022, 11(1), 30-34. DOI: 10.12691/ajams-11-1-5
Pub. Date: March 27, 2023
512 Views3 Downloads
by Rivelli Anne, Fitzpatrick Veronica, Shields Maureen and Erwin Kim
Original Research
To address the need for cost-of-care conversations in prenatal care, the CONTINUE (cost conversations in routine prenatal care) study was conducted with prenatal patients to better understand the benefits of implementing a cost-of-care conversation “cost” tool into routine obstetrics (OB) care. This research team conducted a multi-phase, mixed-methods research study to identify 18 target benefits of a cost tool to initiate and standardize cost-of-care conversation and, subsequently, developed and validated a cost tool. The novel cost tool was piloted and data pertaining to target benefits were collected through interviews and surveys. To assess the cost tool’s utility, data from interviews and surveys were unified and exploratory factor analysis was performed to classify the underlying factor structure of the 18 benefit item responses. Data includes patients’ self-reported ratings of benefit items, as collected from third trimester prenatal patient participants who received the tool at the beginning of their prenatal care in three midwestern-based hospital clinics within one healthcare system. The present study details the factor analysis approach used to identify the three final factors that emerged from the data representing prenatal patients benefits of utilizing a cost tool. This analysis provides a framework for exploring patient-specific predictors of experiencing identified benefits (i.e. factors) of a novel cost tool incorporated into routine OB care.
American Journal of Applied Mathematics and Statistics. 2022, 11(1), 22-29. DOI: 10.12691/ajams-11-1-4
Pub. Date: March 10, 2023
704 Views4 Downloads
by Fawei Tonbra Erepamo Lawrence, Orumie Ukamaka Cynthia and Biu Emmanuel Oyinebifun
Original Research
The Nigeria National Weekly Covid-19 confirmed cases were used in this study work to anticipate the predicted number of cases by Lagos and Abuja areas using the log normal distribution technique. Using trend analysis, this study was able to determine the trend component in both Lagos and Abuja Covid-19 confirmed cases (i.e. Quadratic Trend). According to the findings, the number of confirmed cases of covid-19 increased at the start of the pandemic before starting to decline slightly as the number of cases increased in both areas on the Nigeria National Weekly Covid-19 report each week. The distribution of Covid-19 confirmed cases in both locations was then modelled using the quadratic trend, which was found to be appropriate. For simple examination of the expected (average) distribution and variation of both FCT and Lagos on the Nigeria National Weekly Covid-19 confirmed cases, log-normal distribution techniques were converted to a quadratic form. The results showed that the Nigeria National Weekly Covid-19 confirmed cases in the Federal Capital Territory (FCT) had an expected value of 27 cases per week, while the Lagos State Covid-19 confirmed cases had an expected value of 19 cases per week. Additionally, this study established a mathematical relationship between the Nigeria National Weekly Confirmed cases and the FCT and Lagos COVID-19 confirmed cases. This was accomplished by constructing their mathematical functions for forecasting purposes: probability density function and cumulative density function. It was also able to predict the anticipated pandemic cases of both FCT and Lagos on the Nigeria National Weekly Covid-19 cases and established a quadratic trend for both FCT and Lagos on the Nigeria National Weekly Covid-19 confirmed cases (NWC).
American Journal of Applied Mathematics and Statistics. 2022, 11(1), 13-21. DOI: 10.12691/ajams-11-1-3
Pub. Date: March 10, 2023
1224 Views2 Downloads
by K. Prudhvi
Original Research
In this paper, we prove a unique common fixed point theorem for metric space with (E.A) property. Our result is a generalization and improvement of some recent results existing in the literature [1].
American Journal of Applied Mathematics and Statistics. 2022, 11(1), 11-12. DOI: 10.12691/ajams-11-1-2
Pub. Date: February 27, 2023
682 Views1 Downloads
by Hasibun Naher and Farah Aini Abdullah
Original Research
In this article, more general and many new travelling wave solutions have been constructed through new extension of the (G′/G)-expansion method which is known as new generalized (G′/G)-expansion method. The key idea of this technique is to take full advantage of a higher ordinary nonlinear differential equation that has five different general solutions. The presentation of the travelling wave solutions is quite new and additional parameters are also used in the solution form. To illustrate the novelty and efficiency of this method, the (3+1)-dimensional Kadomstev-Petviashvili equation is desired to be investigated. The obtained solutions reveal the wider applicability to handle higher-dimensional nonlinear problems which arising in mathematical physics.
American Journal of Applied Mathematics and Statistics. 2022, 11(1), 1-10. DOI: 10.12691/ajams-11-1-1
Pub. Date: January 16, 2023