Journal of Mathematics and Statistics Studies https://al-kindipublisher.com/index.php/jmss <p>Journal of Mathematics and Statistics Studies (JMSS) is an international peer-reviewed journal published by <a href="https://www.al-kindipublishers.com/">Al-Kindi Center for Research and Development</a>. The scope of the Research Journal includes, but not limited to Applied Mathematics, Pure &amp; Basic Mathematics, Statistics, Mathematical Statistics, Computational Statistics, Biomathematics, Probability Theory, Geometry &amp; Topology, Functional Analysis, Mathematical Physics, Probability &amp; Statistics, Operations Research Methodology, Non-Parametric Statistics, Frequentist Inference, Statistical Bioinformatics, Graph Theory, Environmental &amp; Ecological Statistics, Theoretical Developments &amp; Techniques and other related topics. Journal of Mathematics and Statistics Studies (JMSS) is published in online version, and is free access to view and download. Papers submitted to this journal must be original, and are not considered in any other journal.</p> en-US jmss@al-kindipublisher.com (Managing Editor) info@al-kindipublisher.com (Al-Kindi Center for Research and Development) Fri, 02 Oct 2020 00:00:00 +0000 OJS 3.2.0.3 http://blogs.law.harvard.edu/tech/rss 60 Evaluation of Mathematics Teachers’ Competence in the Implementation of Mathematics Curriculum in Senior Secondary Schools in Kano State https://al-kindipublisher.com/index.php/jmss/article/view/532 <p>This paper evaluates the mathematics teachers’ competence in the implementation of mathematics curriculum in senior secondary schools in Kano State. The study was carried out with the objectives to: determine the extent to which teachers have adequate knowledge of mathematics curriculum contents in senior secondary schools in Kano State; find out the teachers professional competence in teaching the topics in mathematics curriculum content in senior secondary schools in Kano State; and ascertain the teaching methods used by the teachers in the implementation of mathematics curriculum in senior secondary schools in Kano State. Also, corresponding research questions and hypotheses were postulated in line with the stated objectives. Survey research design was used for the study and the population of the study comprised of all the (2,533) senior secondary school mathematics teachers in Kano State out of which a sample of 333 mathematics teachers were randomly selected. The instruments used to generate responses from the subjects consisted of a researcher made questionnaire. This instrument was validated by the research experts in measurement and evaluation and was found to be reliable based on the result of pilot study conducted by the researchers, which show a reliability figure of 0.91. The data collected were analysed using descriptive statistics and chi-square was used to test the hypotheses at 0.05 level of significance. Finding among others shows a significant difference in the teacher’s professional competence and the teaching of topics in mathematics curriculum content in senior secondary schools in Kano State. In view of the findings, recommendations were made among others that there is a need for Kano state government to train and retrain mathematics teachers on the content, objectives and methodology of mathematics. Also, government should employ and assign competent teachers to teach Mathematics at all levels of education.</p> Bello Magaji ABDU Copyright (c) 2020 https://al-kindipublisher.com/index.php/jmss/article/view/532 Fri, 02 Oct 2020 00:00:00 +0000 Stochastic Modelling and Simulation of SIR Model for COVID-2019 Epidemic Outbreak in India https://al-kindipublisher.com/index.php/jmss/article/view/533 <p>Coronavirus disease 2019 (COVID-19) emerged in Wuhan city, China, at the end of December 2019. As of July 26, 2020, 16258353 COVID-19 cases were confirmed worldwide, including 649848 deaths. The spread of COVID-19 is currently very high. Under the classical SIR (Susceptible-Infected-Recovered) model, epidemiological data for India up to 26th July 2020 were used to forecast the COVID-19 outbreak. For controlling the spreading of the virus, we have to prepare for precaution and futuristic calculation for infection spreading. We used the data from the COVID-2019 Outbreak of India on July 26th, 2020 in this report. In these results, for the initial level of experimental intent, we used 16291331 susceptible cases, 481248 infectious cases, and 910298 rewards / removed cases. Through the aid of the SIR model, data on a wide range of infectious diseases have been analyzed.&nbsp; SIR model is one of the most effective models which can predict the spreading rate of the virus. The findings of the SIR model can be used to forecast transmission and avoid the outbreak of COVID-2019 in India. The results of the study will shed light on understanding the outbreak patterns and indicate those regions epidemiological points. Finally, from this study, we have found that the outbreak of the COVID-2019 epidemic in India will be at its peak on 09 August 2020 and after that, it will work slowly and on the verge of ending in the second or third week of November 2020.</p> Umamaheswari. P Copyright (c) 2020 https://al-kindipublisher.com/index.php/jmss/article/view/533 Thu, 01 Oct 2020 00:00:00 +0000 Using Mathematics Modelling to Teach Mathematics Word Problems https://al-kindipublisher.com/index.php/jmss/article/view/541 <p>The shift of curriculum from non-contextualized to contextualized mathematics has called schools to focus more on competency based items. The real world word problem has made teaching and learning mathematics more open and less predictable hindering the performances of students. Therefore, the intervention research was conducted with 51 students of class VI of Choekhorling Lower Secondary School, Sarpang, Bhutan to address the difficulties in solving word problems in mathematics. The mathematical modelling was used as an intervention for a period of 10 weeks to narrow the gap between mathematical and real world problems. The study concluded that comprehending the problem and translating real world problem to mathematical problem were the main causes of difficulties in solving competency based items by the participants. Moreover, there was mean difference in pre-intervention and post intervention scores (p&lt;0.001) which indicated statistically significant to ascertain that mathematical modeling can help students’ mathematical leaning become more meaningful and teachers can obtain the patterns of students’ problem-solving competence.</p> Tandin Wangdi, Sonam Pelden Copyright (c) 2020 Journal of Mathematics and Statistics Studies https://al-kindipublisher.com/index.php/jmss/article/view/541 Wed, 07 Oct 2020 00:00:00 +0000 The Effect of Censoring Percentages on the Performance of Gamma Distribution in Analysing Survival Data https://al-kindipublisher.com/index.php/jmss/article/view/575 <p>The Gamma distribution was employed to investigate the performance of the model in estimating the maximum likelihood parameter of the model. Simulated data were employed to investigate the performance of the model by considering five different censoring percentages (0%, 10%, 20%, 30% and 40%) and three sets samples of size (100, 300 and 500) observations. The parameters of the Gamma Distribution were estimated successfully. The simulation was repeated 300 times and the mean square error (MSE) and root mean square error (RMSE) were estimated to assess the consistency and stability of the model. The simulated data used to compare the effect of different censoring percentages revealed that the model performed much better with small percentage of censored observations. As the censoring percentage increases the model seems to under estimate the shape parameter and overestimate the scale parameter. The Gamma model showed that survival model is affected by the increase in the percentage of lost information in the data set. However, increasing the sample size helps the model to estimate the parameter of interest much more precise and consistent.</p> <p> </p> Yusuf Mohammed Copyright (c) 2020 Journal of Mathematics and Statistics Studies https://al-kindipublisher.com/index.php/jmss/article/view/575 Thu, 08 Oct 2020 00:00:00 +0000 The Trajectory of Corona-virus and Peoples’ Concern in Africa: A Markov Switching Regression Model Based on Google Trends® Analysis https://al-kindipublisher.com/index.php/jmss/article/view/542 <p>Coronavirus pandemic put more pressures on people concerns and behavior in all countries. The aim is to estimate the dynamic correlations and potential effect of the virus spreading on the dynamic of people's concern in four African countries (South Africa, Egypt, Nigeria and Algeria). Based on Google Trends analysis and dynamic of the virus outbreak from March 13, 2020 to August 28, 2020, two-state Markov Switching (MS) regression model was fitted. The findings revealed a weak-positive correlation between Google Trends and new confirmed cases for all countries. For causality inference, MS estimation showed a weak effect of the new confirmed cases on the waves of people interest over the study period. We think that virus spreading effect is vanished by other factors (such Media coverage). This work revealed the importance of web search tools (like Google Trends) in providing policy-makers utile information during periods of pandemic and health.</p> fatih chellai Copyright (c) 2020 Journal of Mathematics and Statistics Studies https://al-kindipublisher.com/index.php/jmss/article/view/542 Tue, 13 Oct 2020 00:00:00 +0000