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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

3D printing technology can help to visualize proofs in mathematics. In this document we aim to illustrate how 3D printing can help to visualize concepts and mathematical proofs. As already known to educators in ancient Greece, models allow…

History and Overview · Mathematics 2013-06-25 Oliver Knill , Elizabeth Slavkovsky

A standing challenge in undergraduate Computer Science curricula is the teaching and learning of computer programming. Through this paper which is an essay about programming, we aim to contribute to the plethora of existing pedagogies,…

Programming Languages · Computer Science 2022-02-21 Elpida Keravnou-Papailiou

Data visualizations are created and shared on the web at an unprecedented speed, raising new needs and questions for processing and analyzing visualizations after they have been generated and digitized. However, existing formalisms focus on…

Human-Computer Interaction · Computer Science 2022-04-05 Aoyu Wu , Wai Tong , Haotian Li , Dominik Moritz , Yong Wang , Huamin Qu

Measurement is an integral part of modern science, providing the fundamental means for evaluation, comparison, and prediction. In the context of visualization, several different types of measures have been proposed, ranging from approaches…

Graphics · Computer Science 2019-09-13 Fabian Bolte , Stefan Bruckner

We present a state-of-the-art report on visualization in astrophysics. We survey representative papers from both astrophysics and visualization and provide a taxonomy of existing approaches based on data analysis tasks. The approaches are…

Instrumentation and Methods for Astrophysics · Physics 2021-06-02 Fangfei Lan , Michael Young , Lauren Anderson , Anders Ynnerman , Alexander Bock , Michelle A. Borkin , Angus G. Forbes , Juna A. Kollmeier , Bei Wang

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

The problem of mathematical modeling in geography is one of the most important strategies in order to establish the evolution and the prevision of geographical phenomena. Models must have a simplified structure, to reflect essential…

Computational Geometry · Computer Science 2012-03-06 Ionica Soare , Carmen Antohe

Students of visualization come to formal education with an abundance of personal experience. However, one's exposure to graphics through media and education may not be sufficiently diverse to appreciate the nuance and complexity required to…

Human-Computer Interaction · Computer Science 2020-10-09 Amy Rae Fox , Taylor Jackson Scott

Information processes in the society encourage the formation of a revision of the forms and methods of learning; involve the use of didactic capabilities of information and communication technologies in teaching. No less important in this…

Computers and Society · Computer Science 2018-07-25 Vladyslav Velychko

We examine several currently used techniques for visualizing complex-valued functions applied to modular forms. We plot several examples and study the benefits and limitations of each technique. We then introduce a method of visualization…

Graphics · Computer Science 2025-07-28 David Lowry-Duda

The aim of this chapter is to identify and characterise the pedagogical model prescribed for this particular mathematics teaching delivered in post-primary vocational training. More specifically, the contribution investigates two major…

History and Overview · Mathematics 2023-08-01 Xavier Sido

In visualization education, both science and humanities, the literature is often divided into two parts: the design aspect and the analysis of the visualization. However, we find limited discussion on how to motivate and engage…

Human-Computer Interaction · Computer Science 2021-01-20 Alon Friedman , Paul Rosen

The article highlights the promising ways of providing access to the mathematical software in higher educational institutions. It is emphasized that the cloud computing services implementation is the actual trend of modern ICT pedagogical…

Computers and Society · Computer Science 2018-07-06 Mariya Shyshkina , Uliana Kohut , Maiia Popel

Visualization is a heterogeneous field, and this aspect is often reflected by the organizational structures at higher education institutions that academic researchers in visualization and related fields including computer graphics,…

Human-Computer Interaction · Computer Science 2025-08-13 Kostiantyn Kucher , Niklas Rönnberg , Jonas Löwgren

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

This paper is a call to action for research and discussion on data visualization education. As visualization evolves and spreads through our professional and personal lives, we need to understand how to support and empower a broad and…

At the University of Colorado Boulder, as part of our broader efforts to transform middle- and upper-division physics courses, we research students' difficulties with particular concepts, methods, and tools in classical mechanics,…

Physics Education · Physics 2015-06-05 Marcos D. Caballero , Bethany R. Wilcox , Rachel E. Pepper , Steven J. Pollock

In the article the problems of the systems of computer mathematics use as a tool for the students learning and research activities support are investigated. The promising ways of providing access to the mathematical software in the…

Computers and Society · Computer Science 2018-07-04 Mariya Shyshkina , Uliana Kohut , Maiia Popel

Critical Visualization is gaining popularity and academic focus, yet relatively few academic courses have been offered to support students in this complex area. This experience report describes a recent experimental course on the topic,…

Human-Computer Interaction · Computer Science 2025-08-05 Andrew McNutt , Shiyi He , Sujit Kumar Kamaraj , Purbid Bambroo , Nastaran Jadidi , John Bovard , Chang Han