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Technology enables a more sustainable and universally accessible educational model. However, technology has brought a paradox into students' lives: it helps them engage in learning activities, but it is also a source of distraction. During…

计算机与社会 · 计算机科学 2024-02-09 María Ángeles Pérez-Juárez , David González-Ortega , Javier Manuel Aguiar-Pérez

We present an overview of how certain computational tools currently interact with mathematical practice, and reflect on the implications for research mathematics in the short to medium term, as the field navigates the emerging age of AI and…

历史与综述 · 数学 2025-10-21 Alex Kontorovich

Over the past six decades, the computing systems field has experienced significant transformations, profoundly impacting society with transformational developments, such as the Internet and the commodification of computing. Underpinned by…

Many Physics Education Researchers have discussed the positive correlation between students' incoming mathematics skills and performance in their physics classes. Thus, in order to strengthen their performance gains in their physics…

物理教育 · 物理学 2018-09-27 Colleen Lanz Countryman , Hong Wang

The last decade has witnessed a number of important and exciting developments that had been achieved for improving recurrence plot based data analysis and to widen its application potential. We will give a brief overview about important and…

混沌动力学 · 物理学 2024-09-09 Norbert Marwan , K. Hauke Kraemer

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,…

历史与综述 · 数学 2014-08-12 Luc Trouche , Paul Drijvers

The objective of this paper is to describe a development of an innovative approach to enable students studying science, technology, engineering, and mathematics (STEM) to apply the concepts learned in physics and mathematics to engineering…

物理教育 · 物理学 2007-08-21 Roman Ya. Kezerashvili , Candido Cabo , Djafar K. Mynbaev

The multi-layered nature of societal developments poses a challenge in the teaching and learning of history of mathematics. As an attempt to tackle this challenge we experimented with the use of Knowledge-Maps. The focus of our interest…

历史与综述 · 数学 2019-12-18 Nicola Oswald , Sarah Khellaf , Jana Peters

Evidence-based education has become a central concept in science education, with meta-analyses often regarded as the gold standard for informing practice. This emphasis raises critical questions concerning the applicability,…

物理教育 · 物理学 2026-02-06 Christoph Kulgemeyer , Anna Weißbach , Kasim Costan , David Geelan , David Treagust

Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool for research for as long as research has taken place. We use the term illustration to encompass any way one might bring a mathematical…

As educational settings increasingly integrate artificial intelligence (AI), understanding how AI tools identify -- and adapt their responses to -- varied educational contexts becomes paramount. This study examines conversational AI's…

人机交互 · 计算机科学 2025-03-06 Alex Liu , Lief Esbenshade , Min Sun , Shawon Sarkar , Jian He , Victor Tian , Zachary Zhang

The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database…

历史与综述 · 数学 2016-03-22 Floriana Gargiulo , Auguste Caen , Renaud Lambiotte , Timoteo Carletti

Recent advances in our understanding of the Universe have revolutionized our view of its structure, composition and evolution. However, these new ideas have not necessarily been used to improve the teaching of introductory astronomy…

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…

物理教育 · 物理学 2016-08-14 Rui Gomes Neves , Jorge Carvalho Silva , Vítor Duarte Teodoro

The problem of how mathematics and physics are related at a foundational level is of much interest. One approach is to work towards a coherent theory of physics and mathematics together. Here steps are taken in this direction by first…

量子物理 · 物理学 2009-11-10 Paul Benioff

In university programs and curricula, in general we react to the need to meet market needs. We respond to market stimulus, or at least try to do so. Consider now an inverted view. Consider our data and perspectives in university programs as…

计算机与社会 · 计算机科学 2008-12-21 Fionn Murtagh

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…

计算机与社会 · 计算机科学 2018-07-04 Mariya Shyshkina , Uliana Kohut , Maiia Popel

It is nowadays common to consider that proof must be part of the learning of mathematics from Kindergarten to University1. As it is easy to observe, looking back to the history of mathematical curricula, this has not always been the case…

历史与综述 · 数学 2023-05-31 Nicolas Balacheff

A growing number of students are completing undergraduate degrees in statistics and entering the workforce as data analysts. In these positions, they are expected to understand how to utilize databases and other data warehouses, scrape data…

其他统计学 · 统计学 2020-07-21 Johanna Hardin , Roger Hoerl , Nicholas J. Horton , Deborah Nolan

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…

历史与综述 · 数学 2014-12-15 Alexandre V. Borovik