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Expressing physics problems in the form of a mathematical model is one of the most important stages in the problem-solving process. Particularly in algebraic symbolization, understanding the meanings of signs and being able to manipulate…

Physics Education · Physics 2018-03-06 Tra Huynh , Eleanor C Sayre

Simple memorizing tasks have been chosen such as a binary code on a matrix. After the establishment of an appropriate protocol, the codified matrices were individually presented to 150 university students who had to memorize them. A…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexandra C. Tsallis , Constantino Tsallis , Aglae C. N. de Magalhaes , Francisco A. Tamarit

Many proposed applications of neural networks in machine learning, cognitive/brain science, and society hinge on the feasibility of inner interpretability via circuit discovery. This calls for empirical and theoretical explorations of…

Artificial Intelligence · Computer Science 2025-04-02 Federico Adolfi , Martina G. Vilas , Todd Wareham

Computation has revolutionized science and is gradually making its way into science teaching and learning. However, we currently lack theoretical frameworks to make sense of how students learn to use computation as a disciplinary tool. In…

Physics Education · Physics 2024-03-26 Tor Ole B. Odden , Benjamin Zwickl

The modern engineering landscape increasingly requires a range of skills to successfully integrate complex systems. Project-based learning is used to help students build professional skills. However, it is typically applied to small teams…

Computers and Society · Computer Science 2014-10-28 Robert Margolies , Maria Gorlatova , John Sarik , Peter Kinget , Ioannis Kymissis , Gil Zussman

Despite substantial efforts, neural network interpretability remains an elusive goal, with previous research failing to provide succinct explanations of most single neurons' impact on the network output. This limitation is due to the…

Machine Learning · Computer Science 2024-02-01 Simon C. Marshall , Jan H. Kirchner

Deep neural networks are learning models having achieved state of the art performance in many fields like prediction, computer vision, language processing and so on. However, it has been shown that certain inputs exist which would not trick…

Machine Learning · Computer Science 2020-06-03 Jay N. Paranjape , Rahul Kumar Dubey , Vijendran V Gopalan

This study investigated the use of concept maps on advancing students conceptual understanding of the Euler Circuit concept. The participants were students at the college of Humanities and Social Sciences with a background in Art. A…

History and Overview · Mathematics 2014-11-26 Derar Serhan , Muhammed Syam , Qasem AlMdallal

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

Flipped classroom pedagogy is widely used in undergraduate mathematics to promote active learning, yet it remains unclear whether students experience it in systematically different ways. In this study, we analyze student perceptions from an…

History and Overview · Mathematics 2026-05-11 S. Laudari , N. Karjanto

Interpretability is highly desired for deep neural network-based classifiers, especially when addressing high-stake decisions in medical imaging. Commonly used post-hoc interpretability methods have the limitation that they can produce…

Image and Video Processing · Electrical Eng. & Systems 2024-01-04 Sourya Sengupta , Mark A. Anastasio

Not only are Deep Neural Networks (DNNs) black box models, but also we frequently conceptualize them as such. We lack good interpretations of the mechanisms linking inputs to outputs. Therefore, we find it difficult to analyze in…

Machine Learning · Computer Science 2020-06-29 Christopher Snyder , Sriram Vishwanath

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

Researchers have argued against deficit-based explanations of students' troubles with mathematical sense-making, pointing instead to factors such as epistemology: students' beliefs about knowledge and learning can hinder them from…

Physics Education · Physics 2012-06-12 Ayush Gupta , Andy Elby

We discuss the development of a research-based conceptual multiple-choice survey related to magnetism. We also discuss the use of the survey to investigate gender differences in students' difficulties with concepts related to magnetism. We…

Physics Education · Physics 2016-02-17 Jing Li , Chandralekha Singh

An important, yet largely unstudied, problem in student data analysis is to detect misconceptions from students' responses to open-response questions. Misconception detection enables instructors to deliver more targeted feedback on the…

Machine Learning · Statistics 2017-03-31 Joshua J. Michalenko , Andrew S. Lan , Richard G. Baraniuk

Research-validated multiple-choice questions comprise an easy-to-implement instructional tool for scaffolding student learning and providing formative assessment of students' knowledge. We present findings from the implementation of a…

Physics Education · Physics 2024-10-16 Peter Hu , Yangqiuting Li , Chandralekha Singh

The increasing centrality of persistent identifiers (PIDs) to scholarly ecosystems and the contribution they can make to the burgeoning 'PID graph' has the potential to transform scholarship. Despite their importance as originators of PID…

Digital Libraries · Computer Science 2023-02-22 George Macgregor , Barbara S. Lancho-Barrantes , Diane Rasmussen Pennington

This survey presents a necessarily incomplete (and biased) overview of results at the intersection of arithmetic circuit complexity, structured matrices and deep learning. Recently there has been some research activity in replacing…

Computational Complexity · Computer Science 2022-11-01 Atri Rudra

Sometimes it is not enough for a DNN to produce an outcome. For example, in applications such as healthcare, users need to understand the rationale of the decisions. Therefore, it is imperative to develop algorithms to learn models with…

Machine Learning · Computer Science 2019-01-29 Yinpeng Dong , Fan Bao , Hang Su , Jun Zhu