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There have been several modifications of how basic calculus has been taught, but very few of these modifications have considered the computational tools available at our disposal. Here, we present a few tools that are easy to develop and…

History and Overview · Mathematics 2024-10-04 Parthasarathy Srinivasan

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

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

A pedagogical approach of problem-based learning with embedded librarianship in several undergraduate mathematics courses is implemented in this educational research. The students are assigned to work on several projects on various…

History and Overview · Mathematics 2015-04-08 N. Karjanto , M. Kairatbekkyzy , J. Agee

MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dimensions that uses adaptive and fast harmonic analysis methods…

Currently it is widely accepted that the language of science is mathematics. This book explores an alternative idea where the future of science is based on the language of algorithms and programs. How such a language can actually be…

Logic in Computer Science · Computer Science 2020-11-06 Garry Pantelis

This is a textbook on Fourier Series, suitable for both undergraduate and graduate courses. The textbook is endowed with exercises, and full solutions are provided at the end of the book.

Analysis of PDEs · Mathematics 2025-10-22 Serena Dipierro , David Pfefferlé , Enrico Valdinoci

This paper presents a proposed alternative to simulate non-linear dynamical systems. This has an application in bachelor programs like: Electrical and mechanical engineering, Networks and Telecommunications engineering, Mechanical…

Systems and Control · Electrical Eng. & Systems 2019-09-04 Felipe de Jesús Torres , Monserrat Sugey Arredondo , José Manuel Martinez , Víctor Manuel Ocampo

Virtual learning environments are a useful modality for engaging students in the classroom by affording them a sense of presence and immersion. The motivation of this project was to create an open-source augmented reality electrical circuit…

Human-Computer Interaction · Computer Science 2019-08-07 Dana Conard , Blake Vollmer , Corbin Shatto , Hannah Bowman , Sara Kassis

In this paper, we describe the possibilities of using a rapid mental computation system in elementary education. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly.…

Computers and Society · Computer Science 2013-05-21 Rushan Ziatdinov , Sajid Musa

Formal mathematics is mathematics done within the framework of a formal logic. It offers major benefits to mathematicians as well as to computing professionals, engineers, and scientists who use mathematics in their work. The standard…

Logic · Mathematics 2026-03-24 William M. Farmer

Career opportunities for PhDs in the mathematical sciences have never been better. Traditional faculty positions in mathematics departments in colleges and universities range from all teaching to combined teaching and research…

History and Overview · Mathematics 2021-09-17 Yara Skaf , Reinhard Laubenbacher

This paper deals with the problem of theoretical justification and development of scientific and methodological support for using the cloud service CoCalc as a tool for the formation of mathematics teachers professional competencies. The…

Physics Education · Physics 2019-01-17 Maiia Popel

The teaching of matrix multiplication in secondary education is often limited to the mechanical application of the row-by-column algorithm, leaving aside its interpretation as a geometric transformation. This study analyzes the impact of a…

History and Overview · Mathematics 2026-02-04 Felix De La Cruz Serrano

Computer science class enrollments have rapidly risen in the past decade. With current class sizes, standard approaches to grading and providing personalized feedback are no longer possible and new techniques become both feasible and…

Formal Languages and Automata Theory · Computer Science 2021-02-02 Loris D'Antoni , Martin Helfrich , Jan Kretinsky , Emanuel Ramneantu , Maximilian Weininger

The widespread availability of generative artificial intelligence tools poses new challenges for school mathematics education, particularly regarding the formative role of traditional mathematical tasks. In post-AI educational contexts,…

History and Overview · Mathematics 2026-02-11 Felix De la Cruz Serrano

This is a collection of teaching materials used in several Russian universities, schools, and mathematical circles. Most problems are chosen in such a way that in the course of the solution and discussion a reader learns important…

The primary sourcebook for developments based on the data of the world components "Theory of Intellectualities and Mathematical Statistics" (TIMS) collections of the Department of Mathematics, Physics and Astronomy of Odessky National…

History and Overview · Mathematics 2024-05-17 Lidiia L. Chinarova , Ivan L. Andronov

Document preparation systems like LaTeX offer the ability to render mathematical expressions as one would write these on paper. Using LaTeX, LaTeXML, and tools generated for use in the National Institute of Standards (NIST) Digital Library…

With the rise of the popularity of Bayesian methods and accessible computer software, teaching and learning about Bayesian methods are expanding. However, most educational opportunities are geared toward statistics and data science students…

Other Statistics · Statistics 2024-07-23 Mine Dogucu , Sibel Kazak , Joshua Rosenberg
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