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Recent research in mathematics education points to an "epistemic clash" when programming and computational thinking (CT) are leveraged alongside more established forms of mathematical thinking (MT). The emergence of generative AI emphasises…

History and Overview · Mathematics 2026-05-13 Jan-Fredrik Olsen , Tor Ole B Odden , Elise Lockwood

The notion of programming paradigms, with associated programming languages and methodologies, is a well established tenet of Computer Science pedagogy, enshrined in international curricula. However, this notion sits ill with Kuhn's classic…

Programming Languages · Computer Science 2020-02-17 Greg Michaelson

Data science has arrived, and computational statistics is its engine. As the scale and complexity of scientific and industrial data grow, the discipline of computational statistics assumes an increasingly central role among the statistical…

Other Statistics · Statistics 2022-04-13 Andrew J. Holbrook , Akihiko Nishimura , Xiang Ji , Marc A. Suchard

Semantic technologies are evolving and being applied in several research areas, including the education domain. This paper presents the outcomes of a systematic review carried out to provide an overview of the application of semantic…

Computers and Society · Computer Science 2022-08-26 Yixin Cheng , Bernardo Pereira Nunes

Quantum computing is a growing field at the intersection of physics and computer science. This module introduces three of the key principles that govern how quantum computers work: superposition, quantum measurement, and entanglement. The…

Physics Education · Physics 2021-03-30 Anastasia Perry , Ranbel Sun , Ciaran Hughes , Joshua Isaacson , Jessica Turner

Quantum computing technologies have become a hot topic in academia and industry receiving much attention and financial support from all sides. Building a quantum computer that can be used practically is in itself an outstanding challenge…

Computational Engineering, Finance, and Science · Computer Science 2018-02-16 Matthias Möller , Cornelis Vuik

Quantum computing is the process of performing calculations using quantum mechanics. This field studies the quantum behavior of certain subatomic particles for subsequent use in performing calculations, as well as for large-scale…

Quantum Physics · Physics 2023-12-07 David Peral García , Juan Cruz-Benito , Francisco José García-Peñalvo

Quantum computing is increasingly practiced through programming, yet most educational offerings emphasize algorithmic or framework-level use rather than software engineering concerns such as testing, abstraction, tooling, and lifecycle…

Software Engineering · Computer Science 2026-04-28 Andriy Miranskyy

Quantum computing presents a transformative potential for the world of computing. However, integrating this technology into the curriculum for computer science students who lack prior exposure to quantum mechanics and advanced mathematics…

Emerging Technologies · Computer Science 2024-05-16 Anila Mjeda , Hazel Murray

Over the past thirty years or so the authors have been teaching various programming for mathematics courses at our respective Universities, as well as incorporating computer algebra and numerical computation into traditional mathematics…

History and Overview · Mathematics 2022-03-16 Jack Betteridge , Eunice Y. S. Chan , Robert M. Corless , James H. Davenport , James Grant

Quantum science and computing represent a vital intersection between science and technology, gaining increasing importance in modern society. There is a pressing need to incorporate these concepts into the K-12 curriculum, equipping new…

Mastering one or more programming languages has historically been the gateway to implementing ideas on a computer. Today, that gateway is widening with advances in large language models (LLMs) and artificial intelligence (AI)-powered coding…

Computers and Society · Computer Science 2025-11-25 Douglas C. Schmidt , Dan Runfola

The introduction of computing education into curricula worldwide requires multi-year assessments to evaluate the long-term impact on learning. However, no single Computational Thinking (CT) assessment spans primary school, and no group of…

Trying to be effective (no matter who exactly and in what field) a person face the problem which inevitably destroys all our attempts to easily get to a desired goal. The problem is the existence of some insuperable barriers for our mind,…

Artificial Intelligence · Computer Science 2016-11-17 Kirill A. Sorudeykin

We use the benefits and components of classical computers every day. However, there are many types of problems which, as they grow in size, their computational complexity grows larger than classical computers will ever be able to solve.…

Quantum computing comes with the potential to push computational boundaries in various domains including, e.g., cryptography, simulation, optimization, and machine learning. Exploiting the principles of quantum mechanics, new algorithms can…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Julian Berberich , Robert L. Kosut , Thomas Schulte-Herbrüggen

Computability logic (CL) is a systematic formal theory of computational tasks and resources, which, in a sense, can be seen as a semantics-based alternative to (the syntactically introduced) linear logic. With its expressive and flexible…

Logic in Computer Science · Computer Science 2010-03-26 Giorgi Japaridze

Quantum computing (QC) is no longer only a scientific interest but is rapidly becoming an industrially available technology that can potentially tackle the limitations of classical computing. Over the last few years, major technology giants…

Software Engineering · Computer Science 2022-11-28 Muhammad Azeem Akbar , Arif Ali Khan , Sajjad Mahmood , Saima Rafi

Computing is a high-level process of a physical system. Recent interest in non-standard computing systems, including quantum and biological computers, has brought this physical basis of computing to the forefront. There has been, however,…

Emerging Technologies · Computer Science 2023-04-21 Dominic Horsman , Susan Stepney , Rob C. Wagner , Viv Kendon

Computational Law has begun taking the role in society which has been predicted for some time. Automated decision-making and systems which assist users are now used in various jurisdictions, but with this maturity come certain caveats.…

Computers and Society · Computer Science 2022-07-04 Kaspar Rosager Ludvigsen , Shishir Nagaraja , Angela Daly