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Using SCM higher mathematics course allows you to: more clearly understandable apply theoretical material; deprive students of routine calculations; provide multilevel learning process, and therefore enhances cognitive interest and most…

Physics Education · Physics 2018-12-04 Kateryna Slovak , Maiia Popel

Technology is currently ubiquitous and is also part of the educational system at all levels. It started with communication technology systems, and later continued with digital competence. Nowadays, although these previous concepts are still…

Computers and Society · Computer Science 2025-02-18 Javier Bilbao , Eugenio Bravo , Olatz Garcia , Carolina Rebollar

It is our intention here only to discuss the nature, complexity and tools concerning the design of Smart Help, an expert help facility for aiding users of Computer Algebra Systems. Although the expert help system presented here has been…

Symbolic Computation · Computer Science 2014-05-30 Renato P. dos Santos , Waldir L. Roque

The question of the definition of what is an algorithm is recurrent. It is found in teaching, at different levels and particularly in secondary education because of the recent evolutions in high school, with immediate consequences in higher…

Data Structures and Algorithms · Computer Science 2024-12-17 Emmanuel Beffara

This paper outlines our ideas on how to teach linear algebra in a mechanized mathematical environment, and discusses some of our reasons for thinking that this is a better way to teach linear algebra than the ``old fashioned way''. We…

History and Overview · Mathematics 2023-06-02 Robert M. Corless , David J. Jeffrey , Azar Shakoori

This article describes the authors' teaching experience in flipping the class of a basic undergraduate mathematics course Introductory Linear Algebra. We utilize a full-featured free electronic textbook, online lecture notes, an intranet…

History and Overview · Mathematics 2018-03-21 N. Karjanto , S. -G. Lee

Symbolic integration is a fundamental problem in mathematics: we consider how machine learning may be used to optimise this task in a Computer Algebra System (CAS). We train transformers that predict whether a particular integration method…

Machine Learning · Computer Science 2024-11-01 Rashid Barket , Uzma Shafiq , Matthew England , Juergen Gerhard

This course design aims to develop and research a handwriting matrix recognition and step-by-step visual calculation process display system, addressing the issue of abstract formulas and complex calculation steps that students find…

Artificial Intelligence · Computer Science 2025-05-09 TianYi Yu

In this paper we present our experience in using visualization in mathematics education. The experience with our university courses: "Computer tools in matematics" and "Symbolic algebra" provides the basis for mathematics teacher education…

Computers and Society · Computer Science 2019-10-15 Branko Malesevic , Ivana Jovovic , Bojan Banjac

This survey paper is an expanded version of an invited keynote at the ThEdu'22 workshop, August 2022, in Haifa (Israel). After a short introduction on the developments of CAS, DGS and other useful technologies, we show implications in…

History and Overview · Mathematics 2023-03-20 Thierry Noah Dana-Picard

In this note for the joint meeting of DMV and GDM we illustrate with examples the role of computer algebra in university mathematics education. We discuss its potential in teaching algebra, but also computer algebra as a subject in its own…

History and Overview · Mathematics 2020-10-16 Janko Boehm

In CAGD/CAD research and education, users are involved with development of mathematical algorithms and followed by the analysis of the resultant algorithm. This process involves geometric display which can only be carried out with high end…

Computers and Society · Computer Science 2013-03-15 R. U. Gobithaasan , M. A Jamaludin

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

The present work has been designed for students in secondary school and their teachers in mathematics. We will show how with the help of our knowledge of number systems we can solve problems from other fields of mathematics for example in…

History and Overview · Mathematics 2014-10-31 Krasimir Yordzhev

GPUs are dedicated processors used for complex calculations and simulations and they can be effectively used for tropical algebra computations. Tropical algebra is based on max-plus algebra and min-plus algebra. In this paper we proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-22 Ahsan Humayun , Dr. Muhammad Asif , Dr. Muhammmad Kashif Hanif

Quantum computing is an emerging technology in which quantum mechanical properties are suitably utilized to perform certain compute-intensive operations faster than classical computers. Quantum algorithms are designed as a combination of…

Emerging Technologies · Computer Science 2023-06-06 Aravind Joshi , Akshara Kairali , Renju Raju , Adithya Athreya , Reena Monica P , Sanjay Vishwakarma , Srinjoy Ganguly

Despite outstanding performance in many tasks, language models are notoriously inclined to make factual errors in tasks requiring arithmetic computation. We address this deficiency by creating Calc-X, a collection of datasets that…

Machine Learning · Computer Science 2023-10-24 Marek Kadlčík , Michal Štefánik , Ondřej Sotolář , Vlastimil Martinek

Bayesian statistics has gained great momentum since the computational developments of the 1990s. Gradually, advances in Bayesian methodology and software have made Bayesian techniques much more accessible to applied statisticians and, in…

Computation · Statistics 2020-11-04 Jim Albert , Jingchen Hu

Recently, the HCI community has seen increased interest in the design of teaching augmentation (TA): tools that extend and complement teachers' pedagogical abilities during ongoing classroom activities. Examples of TA systems are emerging…

Human-Computer Interaction · Computer Science 2020-01-10 Pengcheng An , Kenneth Holstein , Bernice d'Anjou , Berry Eggen , Saskia Bakker

The article describes the features of the evolution of the cloud-based systems in the context of mathematics and science teachers training. The notion of the systems of computer mathematics (SCM) is considered as the special kind of…

History and Overview · Mathematics 2020-11-13 Maiia Marienko , Kateryna Bezverbna