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Introduction: In this paper, we analyzed the study of a mathematical model of non-linear differential equation on the effect of HIV/AIDS disease among unaware HIV/AIDS-infected population. Material and methods: Population was divided into four categories, including HIV-negative individuals, unaware HIV-positive cases, aware HIV-positive, and AIDS patients. The model was investigated numerically and analytically using fourth-order Runge-Kutta approach and homotopy perturbation method (HPM). Results: We have discussed the parameter variation graphically. Conclusions: Determining the dynamics of HIV prevalence and investigating the effect of each parameter on the governing equation can be simple with analytical solution. [ABSTRACT FROM AUTHOR]

To design and develop a mobile application for pre-school readiness of children with autism and also to identify their learning pattern. Based on strong foundation of functional academics, we have developed a mobile application for providing an early educational intervention program to the children with autism. Three successive software trials have been conducted among 31 children with autism of age group of three to 10 years. The mobile app has been provided to educators and parents and they have been allowed to supervise the children during their learning phase for eight to 10 weeks. The imprint of learning pattern is recorded and learning progress profile is generated for individual child. Data analysis of learning progress profile shows that 90% of the participants preferred drag and drop or simple touch approach over conventional methods practised during classroom teachings. More than 84% of the children are found to adapt pre-requisite skills for writing like scribbling, tracing, dots joining, copying, etc. after using the app on their tablet who are reluctant to hold pencil and paper otherwise. Twenty-five percent of the participants are reported to reciprocate the greeting etiquettes in class such as greeting teachers and their peers. The mobile application made a valuable contribution to early intervention program for children with autism by imparting appropriate learning opportunities readily available to them. Performance metrics underlying each activity form a strong base of identification of learning patterns and formulation of revised individualized education plan (IEP). Children with autism need the mobile application as an educational intervention program for it is readily available and user friendly. Educators need the mobile application to quantify the performance parameters and there by monitor/evaluate the progress of the child. Overall, the present research has aimed to develop an easy reach app by which educating as well as handling challenging behaviour of the children with autism would be easier. [ABSTRACT FROM AUTHOR]

Creation of academic & research posters gives the students an opportunity to develop indispensable skills like inquisitiveness, critical thinking, analytical thinking and dissemination of findings in creative way. This paper describes the formative use of poster presentation in a course of applied mathematics in the first year of the undergraduate engineering program in the western part of India. The authors have designed the internal assessment through poster presentation (IATPP) based on the ARCS model of motivation that also encourages students to find relevance of mathematics with other fields, seeds the foundation of research in their foundation years of engineering and develops a habit of self-learning and peer learning. The authors then discuss their experience of executing this novel approach of using poster presentation to bridge the gap between mathematics and core engineering courses through IATPP. Students' perceptions and results have proved IATPP an interesting, engaging, encouraging, motivating and challenging online assessment strategy that exposes them to mathematical concepts, helps them relate mathematics with other fields and empowers them with several vital life-long learning skills. [ABSTRACT FROM AUTHOR]

This is the text of the Presidential address given at the Annual meeting of the Indian Mathematical Society on December 04, 2021. It takes a stock of how we, as a nation, are doing in mathematics as India celebrates its 75th anniversary of Independence soon. This also involves thinking of the profession of Mathematics, and the changing scenario in it, which I touch upon in this article. [ABSTRACT FROM AUTHOR]

In the present situation, the sustainable development goal on "Gender Equality" (SDG 5) is a challenging problem over the entire globe, also in India. In this paper, the fuzzy graph theory is used to analyse the overall performance of India for the SGD 5. To solve this problem, the new concept of pseudo-vertex-covering set of a fuzzy graph to make a well coverage of the entire fuzzy graph with the combined coverage of vertex-covering set and underlying edge-covering set of the fuzzy graph is defined. With this new covering concept of pseudo-vertex-covering set of fuzzy graphs, an analysis of the performance status of India for SDG 5 is made with the individual performance status of all the states/UTs of India. We show a nice covering of the whole country by some particular states/UTs which are actively helping to make the pseudo-vertex-covering of the transformed form of the graph of India as a fuzzy graph. At last, a comparison between the covering score and index score for SDG 5 is given. Here, covering score is a new term in fuzzy graph theory for coverage of a fuzzy graph by some vertices with underlying some edges. Also, an analysis is given which reflecting a clean idea of the methodology for the performance status of India and these help to find the self-governing states/UTs in India for a better performance. [ABSTRACT FROM AUTHOR]

The current study compared the achievements of higher secondary level students before and during the COVID 19 pandemic in five subjects-English, Biology, Physics, Chemistry, and Mathematics. This study was conducted on higher secondary level students from Bodoland Territorial Region (BTR), Assam, India. Dichotomous variables like rural and urban, tribal and non-tribal are considered for sample collection. A stratified random sampling technique is used for data collection. When five subjects are considered as a unit, the Mahalanobis Distance (MD) is used to measure the difference in dynamical character of achievements. There is a significant difference in the achievement of students between pre-COVID 19 and during COVID 19 pandemic. [ABSTRACT FROM AUTHOR]

The Indian tradition in mathematics is long and glorious. It dates to the earliest times, and indeed many of the Indian discoveries from a period starting 5000 years ago correspond rather naturally to modern mathematical results. Celebration of Indian mathematics needs to consider the personalities among ancient mathematicians who laid a solid foundation for modern thinking. Our main purpose here is, by presenting very briefly some of the main contributions of ancient Indian mathematicians and astronomers, to argue and convince the reader that before the great Ramanujan, there have been thousands of years of rich mathematical discoveries in India and those personalities’ work also needs to be honored on Indian Mathematics Day. [ABSTRACT FROM AUTHOR]

The educationists and the statesmen of different eras have casted mathematics education in different forms, and it has swayed to and from the elites to the commoners several times. The vision of the educationists always took tolls on mathematics curriculum, which survived the maximum change during the past one century. Several unorganized or partially organized ventures of mathematics education planning were seen in the pre-colonial era whereas the colonial period displayed some extremely organized, target-oriented decisions regarding the education system as a whole, taking mathematics in and out of focus. In this article, we have focused on the change in mathematics curriculum at the secondary school level in India. [ABSTRACT FROM AUTHOR]

This study is one of the first evaluations of independent (i.e., self-guided) practice in math in a developing country. We randomly assigned 4,461 students in grades 4–7 in "unaided" private schools across seven Indian cities who were using a computer-assisted learning software to: (a) a control group, in which they moved from one unit to the next upon completion; or (b) a treatment group, in which they had to complete practice exercises before progressing to the next topic. After six months, the additional practice had a precisely estimated null effect on the math achievement of the average student. However, treatment students with low initial performance outperformed their control counterparts by 0.14 standard deviations (SDs). Our results suggest that independent practice may help private-school students from relatively well-off families in need of catching up with their peers. [ABSTRACT FROM AUTHOR]

The article focuses on Covid-19 mortality in the state of Kerala and compares it with that of India. Topics discussed include source of data collected in Kerala and India, using Benford's law to examine the quality of COVID-19 reporting, and misreporting of COVID-19 data in various developing countries, including India.