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We consider a definition of mathematics as the art of thinking in terms of formalized systems, and the science of relations, structures and algorithms. We also touch upon the relation of mathematics to other sciences, in particular through…

History and Overview · Mathematics 2015-10-19 Snorre H. Christiansen

The distinction between sciences is becoming increasingly more artificial -- an approach from one area can be easily applied to the other. More exciting research nowadays is happening perhaps at the interfaces of disciplines like Physics,…

Digital Libraries · Computer Science 2019-08-13 Rima Hazra , Mayank Singh , Pawan Goyal , Bibhas Adhikari , Animesh Mukherjee

We report on a profession-oriented course we offered at the University of Vienna, aimed at physics education teacher students. The course on Theoretical Classical Mechanics has been conceived and designed from its outset with the explicit…

Physics Education · Physics 2026-02-06 Marianne Korner , Christos N. Likos

According to a recent report from the European Commission, the world generates every minute 1.7 million of billions of data bytes, the equivalent of 360,000 DVDs, and companies that build their decision-making processes by exploiting these…

Other Statistics · Statistics 2015-12-23 Philippe Besse , Beatrice Laurent

This chapter presents a brief review of complexity research in mathematics education. We argue how research on complexity, as it pertains to mathematics education, can be viewed as an epistemological discourse, an historical discourse, a…

Physics Education · Physics 2018-05-22 Brent Davis , Pratim Sengupta

We have previously described the reformed introductory physics course, Collaborative Learning through Active Sense-Making in Physics (CLASP), for bioscience students at a large public research one university (Original University) and…

Physics Education · Physics 2024-11-25 Cassandra A. Paul , David J. Webb

On their way to an academic career in physics, Ph.D. students have to overcome difficulties at many levels. Beyond the intellectual challenge, there are also psychological, social and economic barriers. We studied the difficulties…

Physics Education · Physics 2020-07-07 Meytal Eran-Jona , Yosef Nir

If students are to successfully grapple with authentic, complex biological problems as scientists and citizens, they need practice solving such problems during their undergraduate years. Physics education researchers have investigated…

Physics Education · Physics 2013-02-26 Anne-Marie Hoskinson , Marcos D. Caballero , Jennifer K. Knight

Commonly, introductory programming courses in higher education institutions have hundreds of participating students eager to learn to program. The manual effort for reviewing the submitted source code and for providing feedback can no…

Human-Computer Interaction · Computer Science 2023-07-26 Gerhard Johann Hagerer , Laura Lahesoo , Miriam Anschütz , Stephan Krusche , Georg Groh

Modern data and applications pose very different challenges from those of the 1950s or even the 1980s. Students contemplating a career in statistics or data science need to have the tools to tackle problems involving massive, heavy-tailed…

Applications · Statistics 2015-08-18 Nicholas Chamandy , Omkar Muralidharan , Stefan Wager

This article presents an overview, and recent history, of studies of gender gaps in the mathematically-intensive sciences. Included are several statistics about gender differences in science, and about public resources aimed at addressing…

History and Overview · Mathematics 2012-02-01 Theodore P. Hill , Erika Rogers

In this work, we extend our previous work on largeness tracing among physicists to other fields, namely mathematics, economics and biomedical science. Overall, the results confirm our previous discovery, indicating that scientists in all…

Physics and Society · Physics 2017-05-18 Menghui Li , Liying Yang , Huina ZHang , Zhesi Shen , Chensheng Wu , Jinshan Wu

Joining a research group is one of the most important events on a graduate student's path to becoming an independent physics researcher and earning a PhD. However, graduate students' perspectives on the experience of finding a research…

Physics Education · Physics 2024-02-08 Mike Verostek , Casey W. Miller , Benjamin M. Zwickl

While the consequences of mathematically-based software, algorithms and strategies have become ever wider and better appreciated, ethical reflection on mathematics has remained primitive. We review the somewhat disconnected suggestions of…

History and Overview · Mathematics 2023-01-09 Dennis Müller , Maurice Chiodo , James Franklin

Pre-college mathematics modeling instruction often frames mathematics as being separated from reasoning about the real world -- and commonly treats reasoning mathematically and reasoning about the real-world context as separate stages of a…

Physics Education · Physics 2023-08-04 Charlotte Zimmerman , Alexis Olsho , Michael Loverude , Suzanne White Brahmia

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

Current prescriptions for spreadsheet style specify modular separation of data, calcu1ation and output, based on the notion that writing a spreadsheet is like writing a computer program. Instead of a computer programming style, this article…

Human-Computer Interaction · Computer Science 2008-07-22 John F. Raffensperger

The objective of this article is to stimulate discussions in mathematical society about the role of mathematical departments in the life of the community. University community is the center of knowledge and promotes the intellectual…

History and Overview · Mathematics 2010-09-13 Liliana Costa , Evgeny Lakshtanov

This article is intended as a guide for new graduate students in the field of computational science. With the increasing influx of students from diverse backgrounds joining the ever-popular field, this short guide aims to help students…

Many, but not all, Indian CS & IT academics tend to have a focus on theory and research. They do not give much importance to the practice of software development. This paper proposes an additional software development career track for…

Computers and Society · Computer Science 2012-12-24 Ravi S. Iyer