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Biology is data-rich, and it is equally rich in concepts and hypotheses. Part of trying to understand biological processes and systems is therefore to confront our ideas and hypotheses with data using statistical methods to determine the…

Quantitative Methods · Quantitative Biology 2022-06-22 Sean T. Vittadello , Michael P. H. Stumpf

Underlying complex systems, there is a rich web of interconnected components that determine the relational properties of the system. Yet, traditional methods used in education sciences often disregard the underlying complexity of the…

Physics Education · Physics 2026-02-27 Cristian Candia , Javier Pulgar , Flavio Pinheiro

This paper establishes grounds for deeper exploration into the question of dual nature of mathematics as an abstract discipline and as a concrete science. It is argued, as one of the consequences of the discussion, that the division into…

General Mathematics · Mathematics 2016-12-14 Radoslav Dimitric

This article, dedicated, with admiration to Reuben Hersh, for his forthcoming 90th birthday, argues that mathematics today is not yet a science, but that it is high time that it should become one.

History and Overview · Mathematics 2017-04-20 Doron Zeilberger

To be successful, junior faculty must properly manage their time in the face of expanding responsibilities. One such responsibility is supervising undergraduate research projects. Student research projects (either single or multi-student)…

History and Overview · Mathematics 2019-07-02 Jana L. Gevertz , Peter S. Kim , Joanna R. Wares

I discuss some general aspects of the creation, interpretation, and reception of mathematics as a part of civilization and culture.

History and Overview · Mathematics 2007-05-23 Yu. I. Manin

We make the case for mathematicians and statisticians to stake their claim in the fast-moving and high-impact research field that is becoming known as Future Cities. After assessing the Future Cities arena, we provide some illustrative…

Computers and Society · Computer Science 2014-09-09 Peter Grindrod , Desmond J. Higham , Robert S. MacKay

Over the past two decades the field of computational science and engineering (CSE) has penetrated both basic and applied research in academia, industry, and laboratories to advance discovery, optimize systems, support decision-makers, and…

Educators are more than workers within educational systems; they are stewards of educational systems. They must analyze student performance data, identify patterns that inform targeted interventions and personalized learning plans,…

Popularity of the use of free software in the IT industry is much higher than its popular use in educational activities. Disadvantages of free software and problems of its implementation in the educational process is a limiting factor for…

Computers and Society · Computer Science 2018-07-25 Vladyslav Velychko

The old lie of mathematical inadequacy of Indigenous communities has been curiously persistent despite increasing evidence shows that many Indigenous communities practiced mathematics. Attempts to study and teach Indigenous mathematical…

History and Overview · Mathematics 2022-12-07 Hongzhang Xu , Rowena Ball

"I am an industrial mathematician." When asked to identify my profession or academic field of study, this is the most concise answer I can provide. However, this seemingly straightforward statement is commonly greeted by a blank stare or an…

History and Overview · Mathematics 2015-09-11 John M. Stockie

Space Science enjoys broad public support in the US. People say they follow developments with interest, and that the programs are worth their cost. This attitude seems to arise in part because of the intrinsic accessibility and appeal of…

Physics and Society · Physics 2007-05-23 Howard A. Smith

The role of mathematics in a complex system such as the Internet has yet to be deeply explored. In this paper, we summarize some of the important and pressing problems in cyber security from the viewpoint of open science environments. We…

Cryptography and Security · Computer Science 2009-04-13 Juan Meza , Scott Campbell , David Bailey

The lack of an engaging pedagogy and the highly competitive atmosphere in introductory science courses tend to discourage students from pursuing science, technology, engineering, and mathematics (STEM) majors. Once in a STEM field, academic…

Physics Education · Physics 2018-09-05 Justyna P. Zwolak , Michael Zwolak , Eric Brewe

What are the effects of authoritarian regimes on scholarly research in economics? And how might economic theory survive ideological pressures? The article addresses these questions by focusing on the mathematization of economics over the…

History and Overview · Mathematics 2024-07-22 Ivan Boldyrev

Math placement is a crucial step between admission and full engagement with the university for students in STEM majors. Students' placement experiences influence not only their mathematical entry point on their degree pathway, but their…

History and Overview · Mathematics 2019-07-02 Debra Lewis

The sharing and citation of research data is becoming increasingly recognized as an essential building block in scientific research across various fields and disciplines. Sharing research data allows other researchers to reproduce results,…

Digital Libraries · Computer Science 2023-09-22 Tim Conrad , Eloi Ferrer , Daniel Mietchen , Larissa Pusch , Johannes Stegmuller , Moritz Schubotz

Can AI solve all math? What do we actually mean by doing mathematics? How do we communicate mathematics? What is mathematics beyond problem solving? This essay is my attempt to answer these questions.

History and Overview · Mathematics 2025-09-22 Petra Schwer

This article introduces into the whole section on Social Sciences, edited by A. Nowak for this Encyclopedia, concentrating on the applications of mathematics and physics. Here under "mathematics" we include also all computer simulations if…

Physics and Society · Physics 2008-01-03 D. Stauffer , S. Solomon