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We describe and explain the desire, common among mathematicians, both for unity and independence in its major themes. In the dialogue that follows, we express our spontaneous and considered judgment and reservations by contrasting the…

历史与综述 · 数学 2013-12-10 Bernhelm Booss-Bavnbek , Philip J. Davis

Machine learning (ML) techniques are increasingly prevalent in education, from their use in predicting student dropout, to assisting in university admissions, and facilitating the rise of MOOCs. Given the rapid growth of these novel uses,…

人工智能 · 计算机科学 2022-09-09 Lydia T. Liu , Serena Wang , Tolani Britton , Rediet Abebe

A recent trend in mathematical modeling is to publish the computer code together with the research findings. Here we explore the formal question, whether and in which sense a computer implementation is distinct from the mathematical model.…

计算机与社会 · 计算机科学 2024-07-22 Beatrix C. Hiesmayr , Marc-Thorsten Hütt

The ubiquitous use of the tools of artificial intelligence (AI) in techno-science, in higher education and in other existing and potential fields of measurement application generates new challenges for teaching measurement science and…

物理教育 · 物理学 2025-12-16 Roman Z. Morawski

Over the past decades, numerous practical applications of machine learning techniques have shown the potential of data-driven approaches in a large number of computing fields. Machine learning is increasingly included in computing curricula…

计算机与社会 · 计算机科学 2022-08-04 Matti Tedre , Tapani Toivonen , Juho Kahila , Henriikka Vartiainen , Teemu Valtonen , Ilkka Jormanainen , Arnold Pears

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…

计算机与社会 · 计算机科学 2025-02-18 Javier Bilbao , Eugenio Bravo , Olatz Garcia , Carolina Rebollar

The growth of smartphone users globally is a factor that educational technologists should not ignore. This ever-growing market will eventually lead to ubiquitous learning (u-learning). The development of specific content should be replaced…

计算机与社会 · 计算机科学 2021-11-02 Daniel Serna-Poot

This chapter provides an overview of the different Artificial Intelligence (AI) systems that are being used in contemporary digital tools for Mathematics Education (ME). It is aimed at researchers in AI and Machine Learning (ML), for whom…

计算机与社会 · 计算机科学 2021-10-22 Steven Van Vaerenbergh , Adrián Pérez-Suay

The usage of mobile devices for mobile learning is becoming increasingly popular. There is a new brand of students in the universities now-a-days who are easily connected to technology and innovative mobile devices. We attempt to do an…

计算机与社会 · 计算机科学 2014-10-17 S. M. Jacob , B. Issac

In the quest to align deep learning with the sciences to address calls for rigor, safety, and interpretability in machine learning systems, this contribution identifies key missing pieces: the stages of hypothesis formulation and testing,…

机器学习 · 计算机科学 2019-04-25 Jessica Zosa Forde , Michela Paganini

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…

计算机与社会 · 计算机科学 2018-07-25 Vladyslav Velychko

To be successful, junior faculty must properly manage their time in the face of expanding responsibilities. One such responsibility is supervising undergraduate research projects. Student research projects (either single or multi-student)…

历史与综述 · 数学 2019-07-02 Jana L. Gevertz , Peter S. Kim , Joanna R. Wares

The application of knowledge from quantum physics to computer science, which we call \doubleq{quantum informatics}, is driving the development of new technologies, such as quantum computing and quantum key distribution. Researchers in…

物理教育 · 物理学 2024-07-26 Giulia Paparo , Regina Finsterhoelzl , Bettina Waldvogel , Mareen Grillenberger

We describe the development of a junior-senior level course for Physics majors designed to teach Mathematica skills in support of their undergraduate coursework, but also to introduce students to modern research level results. Standard…

物理教育 · 物理学 2007-12-17 R. W. Robinett

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…

物理教育 · 物理学 2016-04-12 Edward F. Redish

Teaching graph theory with the most adequate tools requires time and ideas. We present how an open community of teachers shares contents and ideas on an innovative platform. The objective is to get the students autonomous in their training…

离散数学 · 计算机科学 2022-09-13 Nicolas Catusse , Hadrien Cambazard , Nadia Brauner , Bernard Penz , Florian Fontan

The research is aimed at developing the recommendations for educators on using adaptive technologies and augmented reality in personalized learning implementation. The latest educational technologies related to learning personalization and…

计算机与社会 · 计算机科学 2020-11-12 Maiia Marienko , Yulia Nosenko , Mariya Shyshkina

We argue how AI can assist mathematics in three ways: theorem-proving, conjecture formulation, and language processing. Inspired by initial experiments in geometry and theoretical physics in 2017, we summarize how this emerging field has…

历史与综述 · 数学 2025-11-24 Yang-Hui He

Computer-supported collaborative learning (CSCL) has been a steady topic of research since the early 1990s, and the trend has continued to this date. The basic benefits of CSCL in the classroom have been established in many fields of…

软件工程 · 计算机科学 2019-06-27 Antti Knutas , Jouni Ikonen , Jari Porras

Digital innovation in education has revolutionized teaching and learning processes, demanding a rethink of pedagogical competence among educators. This study evaluates the preparation of instructors to use digital technologies into their…

物理教育 · 物理学 2025-02-25 Ning Yulin , Solomon Danquah Danso