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A teacher, who is the provider of the proven educational knowledge, should be adequately competent in terms of expertise, trust, dedication, positive attitude, effective communication and patient listening. All these attributes can surely be inculcated in pupil teacher but only if the training is provided with maximum commitment, with specified objectives, taking into account the needs of todays' educational scenario and the needs of students. This paper emphasize on the system of training being provided to pre-service Mathematics' teachers, to develop their teaching skills. It includes the use of some creative teaching concepts to increase the interest, level of satisfaction and the outcome of their targeted Mathematics' students. Several studies, researches have shown that the students, who have been studying Mathematics since their childhood, are unable to perform simple calculations and are unable to solve simple numerical problem of their everyday life. This study will conclude with some suggestive facts that pre-service trainees should be trained in a way that other than the prescribed curriculum/syllabus, they should spend time to improve quantitative skills using some innovative techniques in regular class practice. As an example, the inventive methodology will also be discussed. And the second highlight will be the the emphasis on continual and rigorous assessment of the trainees during teaching practice, so that they can resolve the dearth and can go ahead with a handful of approaches to serve the purpose of fruitful teaching and learning. [ABSTRACT FROM AUTHOR]

In this paper, bibliometric analysis of scientific literature published during the period 1996-2020 in.the field of Applied Mathematics has been presented using Scopus linked SCImago country ranking database. Further, India's contribution at global level is highlighted in particular using key bibliometric indicators namely document published, citations (external/self) and citations per document along with their annual corresponding growth to validate the findings. India is growing exponentially and contributing 2.5% to global research output with average 11.63% of annual corresponding growth. In addition, citations (external/self) and citations per document show average annual corresponding growth within ±5%. The outcomes of this study could foster new policies and the improvement in existing policies for various research activities especially for India. [ABSTRACT FROM AUTHOR]

In this article we presented some fractals on square. Mathematical analysis of physical qualities like area and perimeter also presented here. It is found that as number of square fractals increases due to increase in number of iterations, the area of nth square decreases. Length of material required to design such square designs also obtained in this research article. [ABSTRACT FROM AUTHOR]

The objective of this paper is to investigate analytically the non-linear structure and extent of complexity and chaos in public and private sector Bank Stocks as well as the indices: NIFTY and Bank NIFTY in India. In this paper, analysis of the time series was performed using the Wolf algorithm along with optimization using FET and BASGEN algorithms for numerical evaluation of the largest positive Lyapunov exponent. [ABSTRACT FROM AUTHOR]

This article discusses the statistical study of the Sierpinski triangle's area and the perimeter. Area measurement for the nth iteration demonstrates that the field of three-angle antennas reduces as the number of triangles grows as a consequence of iterations. The article also discusses the calculation of the length of material required to design such antennas. [ABSTRACT FROM AUTHOR]