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Mathematics enters the period of change unprecedented in its history, perhaps even a revolution: a switch to use of computers as assistants and checkers in production of proofs. This requires rethinking traditional approaches to mathematics…

History and Overview · Mathematics 2022-01-21 Alexandre Borovik , Zoltan Kocsis , Vladimir Kondratiev

Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. Math may be the language of science, but math-in-physics is a distinct dialect of that language. Physicists tend…

Physics Education · Physics 2007-05-23 Edward F. Redish

Symbolic equations are one of the many representations used in physics. Understanding these representations is important for students because they are how students access knowledge in physics. In this paper I build off of the work by Redish…

Physics Education · Physics 2016-06-08 Eugene T. Torigoe

We extend Langdon Winner's idea that artifacts have politics into the realm of mathematics. To do so, we first provide a list of examples showing the existence of mathematical artifacts that have politics. In the second step, we provide an…

History and Overview · Mathematics 2023-08-10 Dennis Müller , Maurice Chiodo

One of the variants for systematizing the activities of the historian of mathematics is proposed, as well as a scheme for organizing research and search work in the preparation of scientific articles and reports on the history of science.

History and Overview · Mathematics 2021-08-17 Bogatov Egor , Korenev Artem , Mikhailov Ilya

The ability to read, write, and speak mathematics is critical to students becoming comfortable with statistical models and skills. Faster development of those skills may act as encouragement to further engage with the discipline. Vocabulary…

Other Statistics · Statistics 2025-07-08 Tess O'Brien

Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend. They are a…

Physics Education · Physics 2023-03-20 Edward F. Redish

The learning of mathematics starts early but remains far from any theoretical considerations: pupils' mathematical knowledge is first rooted in pragmatic evidence or conforms to procedures taught. However, learners develop a knowledge which…

History and Overview · Mathematics 2014-03-28 Nicolas Balacheff

The growing disconnection of the majority of population from mathematics is becoming a phenomenon that is increasingly difficult to ignore. This paper attempts to point to deeper roots of this cultural and social phenomenon. It concentrates…

History and Overview · Mathematics 2014-12-15 Alexandre V. Borovik

The unique and beautiful character of certain mathematical results and proofs is often considered one of the most gratifying aspects of engaging with mathematics. We study whether this perception of mathematical arguments having an…

History and Overview · Mathematics 2017-11-23 Samuel G. B. Johnson , Stefan Steinerberger

Innovating mathematics by research approaches in Indonesia from middle schools to undergraduates are explained here where geometry is typical example to be innovated. Topics in plane geometry to be platonic solids and non platonic solids…

History and Overview · Mathematics 2017-11-15 Hanna A. Parhusip

Questions concerning origin of mathematical knowledge and roles of language and intuition (imagery) in mathematical thoughts are long standing and widely debated. By introspection, mathematicians usually have some beliefs regarding these…

Neurons and Cognition · Quantitative Biology 2019-10-02 Manouchehr Zaker

A primary goal of physics is to create mathematical models that allow both predictions and explanations of physical phenomena. We weave maths extensively into our physics instruction beginning in high school, and the level and complexity of…

Physics Education · Physics 2016-04-12 Edward F. Redish

In their study of physics beyond the first year of University -- termed upper-division in the US, many of students' primary learning opportunities come from working long, complex back-of-the-book style problems, and from trying to develop…

Physics Education · Physics 2015-09-02 Marcos D. Caballero , Bethany R. Wilcox , Leanne Doughty , Steven J. Pollock

Graphs are essential representations in the professions and education concerning the science, technology, engineering, and mathematics (STEM) disciplines. Beyond their academic relevance, graphs find extensive utility in everyday scenarios,…

This is a case study of teaching 3D design and 3D printing in a project-based computing course for undergraduate math majors. This article discusses content organization, implementation, project grading, and includes a personal reflection.…

History and Overview · Mathematics 2022-12-16 Christopher R. H. Hanusa

This paper examines various methods and ideas for humanizing mathematics. The term 'humanizing mathematics' which includes elements of 'aesthetic mathematics' refers to approaches that emphasize the aesthetic, philosophical, and subjective…

History and Overview · Mathematics 2025-01-13 Takao Inoué

Learning to use math in science is a non-trivial task. It involves many different skills (not usually taught in a math class) that help blend physical knowledge with mathematical symbology. One of these is the idea of quantification: that…

Physics Education · Physics 2022-08-17 Edward F. Redish

Following the processing of individual topics of elementary school mathematics as content of empirical theories the question is adressed wether the associated conception of mathematics finds itself under established concepts, and how it can…

History and Overview · Mathematics 2016-02-24 Hans Joachim Burscheid , Horst Struve

This study aims to describe the communication of prospective teachers in learning mathematics. The research was conducted in SMAN 1 Madura. The subject of this research is PLP student from Mathematics Education Study Program of Madura…

History and Overview · Mathematics 2018-05-01 Dian Kurniawan , Ipung Yuwono , Edy Bambang Irawan , Hery Susanto , Subanji , Susiswo