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Mathematical modelling (MM) is a key competency for solving complex real-world problems, yet many students struggle with abstraction, representation, and iterative reasoning. Artificial intelligence (AI) has been proposed as a support for…

人机交互 · 计算机科学 2025-10-09 Wangda Zhu , Guang Chen , Yumeng Zhu , Lei Cai , Xiangen Hu

This proposal presents a methodology called enriched three-tier test, based on a similar test previously discussed in the literature. Ours consists of the use of justification and degrees of confidence combined with a multiple-choice test.…

物理教育 · 物理学 2014-09-08 Ricardo Buzzo , Alicia M. Montecinos

Artificial intelligence is transforming mathematics at a speed and scale that demand active engagement from the mathematical community. We examine five areas where this transformation is particularly pressing: values, practice, teaching,…

历史与综述 · 数学 2026-05-11 Johan Commelin , Mateja Jamnik , Rodrigo Ochigame , Lenny Taelman , Akshay Venkatesh

We developed a pilot course focused on mathematical modeling within the tertiary education framework, with a distinct emphasis on sustainability and sustainable development. While an applicable textbook exists for this liberal arts course,…

历史与综述 · 数学 2023-12-06 N. Karjanto

This article analyzes the emerging ethical turn in mathematics education, arguing that it is a nuanced extension of the sociopolitical turn. While sociopolitical studies of mathematics have highlighted systemic issues and group concerns…

历史与综述 · 数学 2025-04-01 Dennis Müller

Physics education researchers have argued that authentic physics education includes computation as part of a physics student's training, and many parties have made efforts towards this goal. However, most research on this teaching modality…

物理教育 · 物理学 2026-01-16 Sarah McHale , Tor Ole B. Odden , Ken Heller

The literature on ethics and sustainability in mathematics and its education is increasingly complex and fragmented, potentially leading to communication breakdowns between different scholarly traditions. To address this, the paper…

历史与综述 · 数学 2025-10-14 Dennis Müller , Maurice Chiodo , Michael Meyer

High-fidelity, AI-based simulated classroom systems enable teachers to rehearse effective teaching strategies. However, dialogue-oriented open-ended conversations such as teaching a student about scale factors can be difficult to model.…

Symbolic calculators like Mathematica are becoming more commonplace among upper level physics students. The presence of such a powerful calculator can couple strongly to the type of mathematical reasoning students employ. It does not merely…

物理教育 · 物理学 2009-11-13 Thomas J. Bing , Edward F. Redish

Large language models can increasingly adapt educational tasks to learners characteristics. In the present study, we examine a multi-agent teacher-in-the-loop system for personalizing middle school math problems. The teacher enters a base…

Recent developments in computer programming and in mathematics suggest that there is a strong case for a new way of introducing programming to enhance the learning of school mathematics. The article describes a collaboration of mathematics…

历史与综述 · 数学 2022-03-30 Ian Benson , Jim Darby , Neil MacDonald , Jesse Sigal

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

The objective of this article is to investigate the effect of active-learning pedagogy on learners' academic achievement and their attitude toward mathematics using both quantitative and qualitative methods. We cultivated sustainable…

历史与综述 · 数学 2022-10-31 N. Karjanto , M. J. Acelajado

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

Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved…

机器学习 · 计算机科学 2021-04-27 Mengxue Zhang , Zichao Wang , Richard Baraniuk , Andrew Lan

The resources compiled in this document provide an approach to embed and teach Ethics in Mathematics at the undergraduate level. We provide mathematical exercises and homework problems that teach students ethical awareness and transferable…

历史与综述 · 数学 2025-07-09 Maurice Chiodo , Dennis Müller , Rehan Shah

Math anxiety is a highly prevalent problem in education that has consistently shown to lead to poor math performance. This study sought to investigate whether certain behaviours are predictive of math anxiety among students. This study…

历史与综述 · 数学 2023-02-01 M. Y. K. Chen , A. Jamaludin , A. L. Tan

This article is a part of the report for the research project ``Reform of the Course System and Teaching Content of Higher Mathematics (For Non-Mathematical Specialties)'' in 1995, supported by the National Ministry of Education. There are…

历史与综述 · 数学 2007-05-23 Shutie Xiao

Student diversity, like academic background, learning styles, career and life goals, ethnicity, age, social and emotional characteristics, course load and work schedule, offers unique opportunities in education, like learning new skills,…

计算机与社会 · 计算机科学 2022-05-02 Alex Doboli , Simona Doboli , Ryan Duke , Sangjin Hong , Wendy Tang

This note presents reflections drawn from my recent experiences in teaching a course on mathematics and sustainability, with a particular emphasis on raising awareness of the topic and its broader implications. The lectures were structured…

历史与综述 · 数学 2025-10-16 Henrik Shahgholian