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The Physics Inventory of Quantitative Literacy (PIQL), a reasoning inventory under development, aims to assess students' physics quantitative literacy at the introductory level. The PIQL's design presents the challenge of isolating types of…

In this study, we examine introductory physics students' ability to perform analogical reasoning between two isomorphic problems which employ the same underlying physics principles but have different surface features. Three hundred and…

Physics Education · Physics 2016-02-19 Shih-Yin Lin , Chandralekha Singh

Multimodal Small-to-Medium sized Language Models (MSLMs) have demonstrated strong capabilities in integrating visual and textual information but still face significant limitations in visual comprehension and mathematical reasoning,…

Machine Learning · Computer Science 2026-01-27 Ashutosh Bajpai , Akshat Bhandari , Akshay Nambi , Tanmoy Chakraborty

Upper-division physics students spend much of their time solving problems. In addition to their basic skills and background, their epistemic framing can form an important part of their ability to learn physics from these problems.…

Physics Education · Physics 2019-05-22 Deepa N Chari , Hai D Nguyen , Dean A Zollman , Eleanor C Sayre

Understanding learners' understanding is a key requirement for an efficient design of teaching situations and learning environments, be they digital or not. This keynote outlines the modeling framework cK\cent (conception, knowing, concept)…

History and Overview · Mathematics 2013-08-27 Nicolas Balacheff

Well-developed problem-solving skills are essential for any student enrolled in a science, technology, engineering or mathematics (STEM) course as well as for graduates in the workforce. One of the most essential skills is the ability to…

Physics Education · Physics 2016-07-27 Jeffrey A. Phillips , Jeremy E. McCallum , Katharine W. Clemmer , Thomas M. Zachariah

Optics is a core field in the curricula of secondary physics education. In this study, we present the development and validation of a test instrument in the field of optics, the Converging Lenses Concept Inventory (CLCI). It can be used as…

Physics Education · Physics 2022-05-23 Salome Wörner , Sebastian Becker , Stefan Küchemann , Katharina Scheiter , Jochen Kuhn

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…

Machine Learning · Computer Science 2021-04-27 Mengxue Zhang , Zichao Wang , Richard Baraniuk , Andrew Lan

Computation is becoming an increasingly important part of physics education. However, there are currently few theories of learning that can be used to help explain and predict the unique challenges and affordances associated with…

Physics Education · Physics 2020-01-01 Tor Ole B. Odden , Elise Lockwood , Marcos D. Caballero

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…

Computers and Society · Computer Science 2025-02-18 Javier Bilbao , Eugenio Bravo , Olatz Garcia , Carolina Rebollar

Large language models (LLMs) often make reasoning errors when solving mathematical problems, and how to automatically detect and correct these errors has become an important research direction. However, existing approaches \textit{mainly…

Computation and Language · Computer Science 2025-11-19 Biaojie Zeng , Min Zhang , Juan Zhou , Fengrui Liu , Ruiyang Huang , Xin Lin

Development of conceptual multiple-choice tests related to a particular physics topic is important for designing research-based learning tools to reduce the difficulties. We explore the difficulties that the advanced undergraduate and…

Physics Education · Physics 2016-02-22 Chandralekha Singh , Guangtian Zhu

The research presented in this thesis was motivated by the need to improve introductory physics courses. Introductory physics courses are generally the first courses in which students learn to create models to solve complex problems.…

Physics Education · Physics 2011-12-26 Marcos D. Caballero

Proficiency with calculating, reporting, and understanding measurement uncertainty is a nationally recognized learning outcome for undergraduate physics lab courses. The Physics Measurement Questionnaire (PMQ) is a research-based assessment…

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

Physics Education · Physics 2010-02-03 Edward F. Redish , Ayush Gupta

There is a substantial curricular overlap between calculus and physics, yet introductory physics students often struggle to connect the two. We introduce a quantity-based framing of the Fundamental Theorem of Calculus (FTC) to help unify…

Physics Education · Physics 2025-07-28 Suzanne White Brahmia , Patrick W. Thompson

Students in inquiry science classrooms face an essential tension between sharing new ideas and critically evaluating those ideas. Both sides of this tension pose affective risks that can discourage further discussion, such as the…

Physics Education · Physics 2015-08-05 Luke D. Conlin , Rachel E. Scherr

Computational thinking in physics has many different forms, definitions, and implementations depending on the level of physics, or the institution it is presented in. In order to better integrate computational thinking in introductory…

Physics Education · Physics 2023-08-08 Justin Gambrell , Eric Brewe

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

How students use mathematics in their physics classes has been studied extensively in the physics education literature. In addition to specific mathematical methods in specific physics contexts, possible effects of more general "cultural"…

Physics Education · Physics 2024-09-05 Jeffrey M. Rabin , Andrew Meyertholen , Brian Shotwell