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The aim of this chapter is to identify and characterise the pedagogical model prescribed for this particular mathematics teaching delivered in post-primary vocational training. More specifically, the contribution investigates two major…

History and Overview · Mathematics 2023-08-01 Xavier Sido

In this article, we suggest the use of Mathematical Relationships as a possible way to decrease the students' disinterest in Mathematics. First we made a consideration of the environment of the classroom from the perspective of teachers and…

History and Overview · Mathematics 2012-01-18 Mauricio Paulino Marques Fernandes

Formal mathematics has so far not taken full advantage of ideas from collaborative tools such as wikis and distributed version control systems (DVCS). We argue that the field could profit from such tools, serving both newcomers and experts…

Digital Libraries · Computer Science 2011-07-27 Josef Urban , Jesse Alama , Piotr Rudnicki , Herman Geuvers

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes…

History and Overview · Mathematics 2015-08-24 Jeremy Avigad

The example of the calculus is used to explain how simple, practical math was made enormously complex by imposing on it the Western religiously-colored notion of mathematics as "perfect". We describe a pedagogical experiment to make math…

History and Overview · Mathematics 2013-12-10 C. K. Raju

We describe two new packages ExactpAdics and ExactpAdicsII for the Magma computer algebra system for working with p-adic numbers exactly, in the sense that numbers are represented lazily to infinite p-adic precision. This has the benefits…

Number Theory · Mathematics 2018-05-25 Christopher Doris

This book is about dynamic programming and its applications in economics, finance, and adjacent fields. It brings together recent innovations in the theory of dynamic programming and provides applications and code that can help readers…

General Economics · Economics 2024-01-22 Thomas J. Sargent , John Stachurski

Basic principles of mathematical modeling are reviewed in this book, with the focus on physics and its practical applications, and examples of selected mathematical methods are presented. Most of the models have been imported from physics…

Classical Physics · Physics 2025-07-14 Sergej Pankratow

As a result of the increased emphasis on mis- and over-use of $p$-values in scientific research and the rise in popularity of Bayesian statistics, Bayesian education is becoming more important at the undergraduate level. With the advances…

Other Statistics · Statistics 2024-07-23 Mine Dogucu , Jingchen Hu

In this paper, we describe general characteristics of the MathPartner computer algebra system (CAS) and Mathpar programming language thereof. MathPartner can be used for scientific and engineering calculations, as well as in high schools…

Symbolic Computation · Computer Science 2022-04-26 Gennadi Malaschonok

Digital mathematical libraries assemble the knowledge of years of mathematical research. Numerous disciplines (e.g., physics, engineering, pure and applied mathematics) rely heavily on compendia gathered findings. Likewise, modern research…

Digital Libraries · Computer Science 2022-06-10 André Greiner-Petter , Howard S. Cohl , Abdou Youssef , Moritz Schubotz , Avi Trost , Rajen Dey , Akiko Aizawa , Bela Gipp

An introduction to the physics and mathematics of the expanding universe, using no more than high-school level / undergraduate mathematics. Covered are the basics of scale factor expansion, the dynamics of the expanding universe, various…

General Relativity and Quantum Cosmology · Physics 2018-01-01 Markus Pössel

This paper provides some reflections on the field of mathematical software on the occasion of John Rice's 65th birthday. I describe some of the common themes of research in this field and recall some significant events in its evolution.…

Mathematical Software · Computer Science 2007-05-23 Ronald F. Boisvert

This elementary review covers the basics of working with astronomical data, notably with images, spectra and higher-level (catalog) data. The basic concepts and tools are presented using both application software (DS9 and TOPCAT) and…

Instrumentation and Methods for Astrophysics · Physics 2020-01-09 Markus Pössel

Math is the backbone of any field. Still its a night mare for many. Recent survey proves that many students become dropouts from their higher education due to math courses. ICT is an enchanted word in the contemporary educational…

Computers and Society · Computer Science 2015-04-09 R. D. Balaji , V. Veeramani , Malathi Balaji

An early-stage version of simulation package ' ELSES' (Extra-Large-Scale Electronic-Structure calculation) is developed for electronic structure and dynamics of large systems, particularly, nm-scale or 10nm-scale systems (www.elses.jp).…

Materials Science · Physics 2009-06-16 Takeo Hoshi , Takeo Fujiwara

Problems for the graduate students who want to improve problem-solving skills in geometry. Every problem has a short elegant solution -- this gives a hint which was not available when the problem was discovered.

History and Overview · Mathematics 2025-02-04 Anton Petrunin

LaTeX is a free document preparation system that handles the typesetting of mathematical expressions smoothly and elegantly. It has become the standard format for creating and publishing research articles in mathematics and many scientific…

Computers and Society · Computer Science 2024-02-06 Ikechukwu E. Onyenwe , Ebele Onyedinma , Onyedika O. Ikechukwu-Onyenwe , Obinna Agbata , Faustinah N. Tubo

In AI-rich higher education, polished written mathematics has become easier to produce than trustworthy evidence of understanding. This article develops a human-scale methodology for service mathematics, with informatics as its main running…

History and Overview · Mathematics 2026-04-13 Siniša Miličić

In the present paper, we describe some experiences in using programming, commands and graphical interfaces based on computer algebra systems, as tools for learning Physics and Mathematics.

Physics Education · Physics 2014-01-08 Danilo T. Alves , Silvio C. F. Pereira Filho