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One desired outcome of introductory physics instruction is that students will develop facility with reasoning quantitatively about physical phenomena. Little research has been done regarding how students develop the algebraic concepts and…

In an effort to improve the quality of citizen engagement in workplace, politics, and other domains in which quantitative reasoning plays an important role, Quantitative Literacy (QL) has become the focus of considerable research and…

We have developed the Physics Inventory of Quantitative Literacy (PIQL) as a tool to measure students' quantitative literacy in the context of introductory physics topics. We present the results from various quantitative analyses used to…

Mathematical reasoning flexibility across physics contexts is a desirable learning outcome of introductory physics, where the math world and physical world meet. Physics Quantitative Literacy (PQL) is a set of interconnected skills and…

Physics Education · Physics 2019-11-06 Suzanne White Brahmia , Alexis Olsho , Andrew Boudreaux , Trevor Smith , Charlotte Zimmerman

Quantitative reasoning is an essential learning objective of physics instruction. The Physics Inventory for Quantitative Literacy (PIQL) is an assessment tool that has been developed for calculus-based physics courses to help instructors…

Physics Education · Physics 2025-04-22 Charlotte Zimmerman , Alexis Olsho , Trevor I. Smith , Philip Eaton , Suzanne White Brahmia

Although an important goal of introductory physics labs is to train students in scientific reasoning and critical thinking, currently there are no standard tests in physics designed to assess such skills. We are in the process of developing…

Physics Education · Physics 2018-02-08 Katherine N. Quinn , Carl Wieman , N. G. Holmes

Physics lab courses are an essential part of the physics undergraduate curriculum. Learning goals for these classes often include the ability to interpret measurements and uncertainties. The Physics Measurement Questionnaire (PMQ) is an…

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…

Introductory physics lab instruction is undergoing a transformation, with increasing emphasis on developing experimentation and critical thinking skills. These changes present a need for standardized assessment instruments to determine the…

Physics Education · Physics 2019-01-23 Cole Walsh , Katherine N. Quinn , C. Wieman , N. G. Holmes

We investigated the impact of incorporating quantitative reasoning for deeper sense-making in a Quantum Interactive Learning Tutorial (QuILT) on students' conceptual performance using a framework emphasizing integration of conceptual and…

Physics Education · Physics 2026-02-16 Paul D. Justice , Emily Marshman , Chandralekha Singh

Despite the significant amount of time undergraduate students spend in introductory physics labs, there is little consensus on instructional goals and accepted diagnostic assessments for these labs. In response to these issues, we have…

Physics Education · Physics 2018-09-03 Cole Walsh , Katherine N. Quinn , N. G. Holmes

University students taking introductory physics are generally successful executing mathematical procedures in context, but often struggle with the use of mathematical concepts for sense making. Physics instructors note that their students…

Physics Education · Physics 2016-07-19 S. Brahmia , A. Boudreaux , S. E. Kanim

Developing expertise in physics requires appropriate integration and assimilation of physics and mathematics. Instructors and students often describe physics courses in terms of their emphasis on conceptual and quantitative problem-solving.…

Physics Education · Physics 2025-12-11 Apekshya Ghimire , Chandralekha Singh

Existing benchmarks fail to capture a crucial aspect of intelligence: physical reasoning, the integrated ability to combine domain knowledge, symbolic reasoning, and understanding of real-world constraints. To address this gap, we introduce…

We describe the development and implementation of research-based learning tools such as the Quantum Interactive Learning Tutorials (QuILTs) and peer instruction tools to reduce students' common difficulties with issues related to…

Physics Education · Physics 2016-02-23 Guangtian Zhu , Chandralekha Singh

In the U.S., introductory calculus-based courses often acts as a gatekeeper to STEM degrees. But access to the prerequisite math is far from equal--students from low-income and racially marginalized communities are far less likely to have…

Physics Education · Physics 2025-08-04 Suzanne White Brahmia , Geraldine L. Cochran

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

The Physics Lab Inventory of Critical Thinking (PLIC) measures three components of students' critical thinking in physics labs: evaluating data, evaluating methods, and proposing next steps. Prior work has analyzed these components in…

Physics Education · Physics 2026-04-15 Marcus Kubsch , Natasha G. Holmes , Antti Lehtinen

The milq approach to quantum physics for high schools focuses on the conceptual questions of quantum physics. Students should be given the opportunity to engage with the world view of modern physics. The aim is to achieve a conceptually…

Physics Education · Physics 2021-11-11 Rainer Müller , Oxana Mishina

Large Language Models (LLMs) have achieved remarkable progress on advanced reasoning tasks such as mathematics and coding competitions. Meanwhile, physics, despite being both reasoning-intensive and essential to real-world understanding,…

Computation and Language · Computer Science 2025-10-20 Shenghe Zheng , Qianjia Cheng , Junchi Yao , Mengsong Wu , Haonan He , Ning Ding , Yu Cheng , Shuyue Hu , Lei Bai , Dongzhan Zhou , Ganqu Cui , Peng Ye
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