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Linear algebra represents, with calculus, the two main mathematical subjects taught in science universities. However this teaching has always been difficult. In the last two decades, it became an active area for research works in…

History and Overview · Mathematics 2007-05-23 Jean-Luc Dorier

This paper presents an intervention study on the effects of the combined methods of (1) the Socratic method, (2) Chain of Thought (CoT) reasoning, (3) simplified gamification and (4) formative feedback on university students' Maths learning…

Computation and Language · Computer Science 2025-07-17 Tosin Adewumi , Foteini Simistira Liwicki , Marcus Liwicki , Viktor Gardelli , Lama Alkhaled , Hamam Mokayed

In the era of data-driven intelligence, the paradox of data abundance and annotation scarcity has emerged as a critical bottleneck in the advancement of machine learning. This paper gives a detailed overview of Active Learning (AL), which…

Machine Learning · Computer Science 2025-11-27 Chiung-Yi Tseng , Junhao Song , Ziqian Bi , Tianyang Wang , Chia Xin Liang , Xinyuan Song , Ming Liu

Understanding learners' understanding is a key requirement for an efficient design of teaching situations and learning environments, be they digital or not. This keynote outlines the modeling framework cK\cent (conception, knowing, concept)…

History and Overview · Mathematics 2013-08-27 Nicolas Balacheff

Quantum computing is an emerging field with growing implications across science and industry, making early educational exposure increasingly important. This paper examines how quantum computing concepts can be introduced into high-school…

Collaboration within mathematics has been established as being effective in providing students with crucial opportunities to develop critical thinking, effective communication, and teamwork skills. By engaging in group problem-solving and…

History and Overview · Mathematics 2025-08-19 Sang Hyun Kim , Tanya Evans

Problem. Educational disparities in Mathematics performance are a persistent challenge. This study aims to unravel the complex factors contributing to these disparities among students internationally, with a focus on the interpretability of…

Computers and Society · Computer Science 2025-02-28 Ismael Gomez-Talal , Luis Bote-Curiel , Jose Luis Rojo-Alvarez

Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, not just in traditional areas of artificial…

Numerical Analysis · Mathematics 2020-12-30 Weinan E

As dynamic and control systems become more complex, relying purely on numerical computations for systems analysis and design might become extremely expensive or totally infeasible. Computer algebra can act as an enabler for analysis and…

Systems and Control · Computer Science 2018-01-01 Masoud Abbaszadeh

The integration of digital tools in mathematics education is considered both promising and problematic. To deal with this issue, notions of webbing and instrumental orchestration are developed. However, the two seemed to be disconnected,…

History and Overview · Mathematics 2014-08-12 Luc Trouche , Paul Drijvers

We commonly think of mathematics as bringing precision to application domains, but its relationship with computer science is more complex. This experience report on the use of Racket and Haskell to teach a required first university CS…

Programming Languages · Computer Science 2013-01-23 Prabhakar Ragde

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 work, we develop statistical tools to understand core courses at the university level. Traditionally, professors and administrators label courses as "core" when the courses contain foundational material. Such courses are often…

History and Overview · Mathematics 2016-05-04 Ritvik Kharkar , Jessica Tran , Charles Z. Marshak

Nowadays, with the rapid growth of cloud computing, many industries are going to move their computing activities to clouds. Researchers of virtual learning are also looking for the ways to use clouds through mobile platforms. This paper…

Computers and Society · Computer Science 2013-04-16 Hossein Movafegh Ghadirli , Maryam Rastgarpour

This paper discusses digital online mathematics examinations -- a discussion ranging from high school to university level examinations. In particular, we consider the nature of mathematical writing, what is distinctive about mathematical…

History and Overview · Mathematics 2026-05-26 Laura Kobel-Keller , Chris Sangwin

Teaching is one of the most important factors affecting any education system. Many research efforts have been conducted to facilitate the presentation modes used by instructors in classrooms as well as provide means for students to review…

Machine Learning · Computer Science 2012-01-16 Marian George , Moustafa Youssef

Keeping pace with rapidly evolving technology is a key challenge in teaching statistics. To equip students with essential skills for the modern workplace, educators must integrate relevant technologies into the statistical curriculum where…

Other Statistics · Statistics 2026-02-23 Craig Alexander , Jennifer Gaskell , Vinny Davies

While there has been some discussion on how Symbolic Computation could be used for AI there is little literature on applications in the other direction. However, recent results for quantifier elimination suggest that, given enough example…

Symbolic Computation · Computer Science 2018-11-01 M. England

Recent advances in computing have changed not only the nature of mathematical computation, but mathematical proof and inquiry itself. While artificial intelligence and formalized mathematics have been the major topics of this conversation,…

Databases · Computer Science 2024-04-12 Steven Clontz

Acquiring the mathematical, conceptual, and problem-solving skills required in university-level physics courses is hard work, and the average student often lacks the knowledge and study skills they need to succeed in the introductory…

Physics Education · Physics 2009-11-10 David Toback , Andreas Mershin , Irina Novikova