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Many mathematicians find mathematics aesthetically beautiful and even comparable to art forms such as music or painting. On the other hand, every year a great number of school students leave mathematics with total disillusionment and…

History and Overview · Mathematics 2022-07-21 Alok Shukla

We present a novel intelligent tutoring system which builds upon well-established hypotheses in educational psychology and incorporates them inside of a scalable software architecture. Specifically, we build upon the known benefits of…

Computers and Society · Computer Science 2020-12-01 Bhairav Mehta , Adithya Ramanathan

This paper frames calculus as a global, centuries-long development rather than a subject that began only with Newton and Leibniz. Drawing on ideas from Greek, Indian, Islamic, and later European mathematics, it highlights how concepts like…

History and Overview · Mathematics 2026-02-02 Chamila Gamage

This is an essay that considering the knowledge structure and language of a different nature, attempts to build on an explanation of the object of study and characteristics of the mathematical science. We end up with a learning cycle of…

History and Overview · Mathematics 2007-05-25 Javier Guachalla H

Bayesian statistics has gained great momentum since the computational developments of the 1990s. Gradually, advances in Bayesian methodology and software have made Bayesian techniques much more accessible to applied statisticians and, in…

Computation · Statistics 2020-11-04 Jim Albert , Jingchen Hu

Development of several alternative mathematical models for the biological system in question and discrimination between such models using experimental data is the best way to robust conclusions. Models which challenge existing theories are…

Quantitative Methods · Quantitative Biology 2016-02-01 Vitaly V. Ganusov

Distance learning universities usually afford their students the flexibility to advance their studies at their own pace. This can lead to a considerable fluctuation of student populations within a program's courses, possibly affecting the…

Artificial Intelligence · Computer Science 2009-03-12 T. Hadzilacos , D. Kalles , D. Koumanakos , V. Mitsionis

In general, however, IT will empower students to have greater control over the learning process, with all the benefits associated with active learning and personal responsibility. Not only will students decide when to learn and how to…

Other Computer Science · Computer Science 2010-06-11 H. L. H Spits Warnars

The formation and development of the human person is most influenced by the environment in which it lives, studies, works. Therefore, the problem of the creation of such a high-tech information and communication educational and scientific…

History and Overview · Mathematics 2018-09-11 Kateryna Slovak , Serhiy Semerikov , Yu. V. Tryus

A generalization of a distribution increases the flexibility particularly in studying of a phenomenon and its properties. Many generalizations of continuous univariate distributions are available in literature. In this study, an…

Applications · Statistics 2024-08-30 Brijesh P. Singh , Sandeep Singh , Utpal Dhar Das

This study aims to describe the communication of prospective teachers in learning mathematics. The research was conducted in SMAN 1 Madura. The subject of this research is PLP student from Mathematics Education Study Program of Madura…

History and Overview · Mathematics 2018-05-01 Dian Kurniawan , Ipung Yuwono , Edy Bambang Irawan , Hery Susanto , Subanji , Susiswo

The aim of this text is to provide a linguistically accessible, but comprehensive introduction into a variety of topics in dynamical systems and its applications. Whilst preliminary knowledge of dynamical systems is useful, it is not…

Dynamical Systems · Mathematics 2026-01-09 Eugene Tan , David Walker , Michael Small , Braden Thorne

Educators must make decisions about learner expectations and skills on which to focus when it comes to laboratory activities. There are various approaches but the general pattern is to encourage students to measure ordered pairs, plot a…

Physics Education · Physics 2023-03-30 Kevin L. Haglin

Scientific research involves mathematical modelling in the context of an interactive balance between theory, experiment and computation. However, computational methods and tools are still far from being appropriately integrated in the high…

Physics Education · Physics 2016-08-14 Rui Gomes Neves , Jorge Carvalho Silva , Vítor Duarte Teodoro

In this paper we describe our experience in developing curriculum courses aimed at graduate students in emerging computational fields, including biology and medical science. We focus primarily on computational data analysis and statistical…

Computers and Society · Computer Science 2019-01-18 Marcelo Ponce , Erik Spence , Ramses van Zon , Daniel Gruner

We take some first steps in providing a synthetic theory of distributions. In particular, we are interested in the use of distribution theory as foundation, not just as tool, in the study of the wave equation.

Category Theory · Mathematics 2007-05-23 Anders Kock , Gonzalo E. Reyes

This article summarises a Web-book on "Complexity" that was developed to introduce undergraduate students to interesting complex systems in the biological, physical and social sciences, and the common tools, principles and concepts used for…

Physics Education · Physics 2007-05-23 Rajesh R. Parwani

Statistics experiences a storm around the perceived misuse and possible abuse of its methods in the context of the so-called reproducibility crisis. The methods and styles of quantification practiced in mathematical modelling rarely make it…

Methodology · Statistics 2019-08-20 Andrea Saltelli

This paper discusses serious drawbacks of existing knowledge in macroeconomics and finance in explaining and predicting economic and financial phenomena. Complexity science is proposed as an alternative approach to be used in order to…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot

Usually the first course in mathematics is calculus. Its a core course in the curriculum of the Business, Engineering and the Sciences. However many students face difficulties to learn calculus. These difficulties are often caused by the…

Computers and Society · Computer Science 2012-12-27 Seifedine Kadry , Maha ElShalkamy
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