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This article deals with peer-assessment in the context of higher education teaching in mathematics, and examines the nature of student activity when assessing work produced by peers. After an overview of research on peer assessment, we…

History and Overview · Mathematics 2023-10-27 Juliette Veuillez--Mainard , Simon Modeste

Tool-integrated reasoning (TIR) has become a key approach for improving large reasoning models (LRMs) on complex problems. Prior work has mainly studied when to invoke tools, while overlooking how tools are applied. We identify two common…

Artificial Intelligence · Computer Science 2026-01-12 Ningning Xu , Yuxuan Jiang , Shubhashis Roy Dipta , Hengyuan Zhang

Technology has helped to innovate in the teaching-learning process. Today's students are more demanding actors when it comes to the environment, they have at their disposal to learn, experiment and develop critical thinking. The area of…

Human-Computer Interaction · Computer Science 2025-05-19 Carlos R. Cunha , André Moreira , Sílvia Coelho , Vítor Mendonça , João Pedro Gomes

A pedagogical approach of problem-based learning with embedded librarianship in several undergraduate mathematics courses is implemented in this educational research. The students are assigned to work on several projects on various…

History and Overview · Mathematics 2015-04-08 N. Karjanto , M. Kairatbekkyzy , J. Agee

We review and extend existing frameworks on modeling to develop a new framework that describes model-based reasoning in upper-division physics labs. Constructing and using models are core scientific practices that have gained significant…

Physics Education · Physics 2015-10-28 Benjamin M. Zwickl , Dehui Hu , Noah Finkelstein , H. J. Lewandowski

Traditional high-stakes summative assessments--timed, in-class exams accounting for a large percentage of the term's overall grade--have often received criticism from the educational community. Such assessments tend to prize a particular…

Physics Education · Physics 2023-04-12 Bruce A. Schumm , Joy Ishii , Colin G. West

Developing students' ability to troubleshoot is an important learning outcome for many undergraduate physics lab courses, especially electronics courses. In other work, metacognition has been identified as an important feature of…

This paper presents the preliminary considerations of the application of a software to an experimental work conducted on Digital Storytelling in Mathematics, as part of the project Prin 2015 "Digital Interactive Storytelling in Mathematics:…

History and Overview · Mathematics 2022-12-16 Anna Concas , Maria Polo

In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra…

History and Overview · Mathematics 2025-05-30 Eric Hillebrand

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…

History and Overview · Mathematics 2025-07-09 Maurice Chiodo , Dennis Müller , Rehan Shah

Many undergraduate students of engineering and the exact sciences have difficulty with their mathematics courses due to insufficient proficiency in what we in this paper have termed clear thinking. We believe that this lack of proficiency…

History and Overview · Mathematics 2017-09-06 Arieh Lev , Gil Kaplan

Intelligent Tutoring Systems often grant learners shared control over skill and problem selection. This choice brings motivational and metacognitive benefits. At the same time, past literature suggests that learners exhibit diverse…

Human-Computer Interaction · Computer Science 2026-05-26 Haley Noh , Aarna Chowdhary , Jeroen Ooge , Vincent Aleven , Conrad Borchers

Traditionally, scholars in physics education research pay attention to students solving well-structured learning activities, which provide restricted room for collaboration and idea-generation due to their close-ended nature. In order to…

Physics Education · Physics 2020-03-31 Javier Pulgar , Alexis Spina , Carlos Ríos

Often neglected in traditional education, spatial thinking has played a critical role in science, technology, engineering, and mathematics (STEM) education. Spatial thinking skills can be enhanced by training, life experience, and practice.…

Human-Computer Interaction · Computer Science 2021-06-03 Srinjita Bhaduri , Peter Gyory , Tamara Sumner

Physics Education Research (PER) applies a scientific approach to the question, "How do our students think about and learn physics?" PER allows us to explore such intellectually engaging questions as, "What does it mean to understand…

Physics Education · Physics 2014-05-27 Edward F. Redish

Students' difficulties in quantum mechanics may be the result of unproductive framing rather than a fundamental inability to solve the problems or misconceptions about physics content. Using the theoretical lens of epistemological framing,…

Physics Education · Physics 2019-12-11 Bahar Modir , John D Thompson , Eleanor C Sayre

"Systems that Explain Themselves" appears a provocative wording, in particular in the context of mathematics education -- it is as provocative as the idea of building educational software upon technology from computer theorem proving. In…

Software Engineering · Computer Science 2018-03-06 Alan Krempler , Walther Neuper

In this article we describe special type of mathematical problems that may help develop teaching methods that motivate students to explore patterns, formulate conjectures and find solutions without only memorizing formulas and procedures.…

History and Overview · Mathematics 2022-06-02 Hugo Caerols-Palma , Katia Vogt-Geisse

Relating two quantities to describe a physical system or process is at the heart of "doing physics" for novices and experts alike. In this paper, we explore the ways in which experts use covariational reasoning when solving introductory…

This second paper in a multi-part series builds on the first, which introduced the Ways of Thinking for Engineering Design-based Physics (WoT4EDP) framework for STEM education in an introductory undergraduate physics course. Here, we apply…

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