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Language students are most engaged while reading texts at an appropriate difficulty level. However, existing methods of evaluating text difficulty focus mainly on vocabulary and do not prioritize grammatical features, hence they do not work…

Computation and Language · Computer Science 2017-02-17 Shuhan Wang , Erik Andersen

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…

Student learning of sound waves can be helped through the creation of group-learning classroom materials whose development and design rely on explicit investigations into student understanding. We describe reasoning in terms of sets of…

Physics Education · Physics 2009-11-07 Michael C. Wittmann , Richard N. Steinberg , Edward F. Redish

Common research tasks ask students to identify a correct answer and justify their answer choice. We propose expanding the array of research tasks to access different knowledge that students might have. By asking students to discuss answers…

We investigated the common difficulties that students have with concepts related to rotational and rolling motion covered in the introductory physics courses. We compared the performance of calculus- and algebra-based introductory physics…

Physics Education · Physics 2007-05-23 Lorenzo G. Rimoldini , Chandralekha Singh

Much effort and research has been invested into understanding and bridging the gaps which many students experience in terms of contents and expectations as they begin university studies with a heavy component of mathematics, typically in…

History and Overview · Mathematics 2014-03-12 Carl Winsløw , Niels Grønbæk

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

Combinatorics · Mathematics 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

Understanding how youth make sense of machine learning and how learning about machine learning can be supported in and out of school is more relevant than ever before as young people interact with machine learning powered applications…

We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more explicit description of the quadratic forms of the…

Functional Analysis · Mathematics 2023-01-04 Matthias Keller , Daniel Lenz , Marcel Schmidt , Michael Schwarz , Melchior Wirth

People learn whenever and wherever possible, and whatever they like or encounter--Mathematics, Drama, Art, Languages, Physics, Philosophy, and so on. With the bursting of knowledge, evaluation of one's possession of knowledge becomes…

Human-Computer Interaction · Computer Science 2016-12-23 Gangli Liu

Quantum mechanics is a challenging subject, even for advanced undergraduate and graduate students. Here, we discuss the development and evaluation of research-based concept tests for peer instruction as a formative assessment tool in…

Physics Education · Physics 2016-02-18 Chandralekha Singh , Guangtian Zhu

Overfitting and generalization is an important concept in Machine Learning as only models that generalize are interesting for general applications. Yet some students have trouble learning this important concept through lectures and…

Machine Learning · Computer Science 2022-09-08 Matias Valdenegro-Toro , Matthia Sabatelli

It is well-known (at least in the education research literature) that primary school students face considerable difficulties in the understanding of negative integers (and numbers), related operations and their visualizations. In the…

History and Overview · Mathematics 2021-06-08 A. Mani

Deep metric learning papers from the past four years have consistently claimed great advances in accuracy, often more than doubling the performance of decade-old methods. In this paper, we take a closer look at the field to see if this is…

Computer Vision and Pattern Recognition · Computer Science 2020-09-17 Kevin Musgrave , Serge Belongie , Ser-Nam Lim

Previous research indicates that after standard instruction students at all academic levels often construct a conceptual framework in which the ideas of absolute simultaneity and the relativity of simultaneity co-exist. This article…

Physics Education · Physics 2009-11-07 Rachel E. Scherr , Peter S. Shaffer , Stamatis Vokos

This paper reviews the history of mobile learning, provides a definition of mobile learning. The properties, advantages and disadvantages of mobile learning, areas of its implementation at the Technical University and mobile learning tools…

Physics Education · Physics 2018-08-08 Natalya Rashevs`ka , Viktoriia Tkachuk

Recent advances in multimodal large language models (MLLMs) raise the question of their potential for grading, analyzing, and offering feedback on handwritten student classwork. This capability would be particularly beneficial in elementary…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Owen Henkel , Bill Roberts , Doug Jaffe , Laurence Holt

In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, root-square means, etc. Some new means recently studied are also presented. Different kinds of refinement of inequalities among these means are…

General Mathematics · Mathematics 2007-05-23 Inder Jeet Taneja

Students' difficulties in quantum mechanics may be the result of unproductive framing and not a fundamental inability to solve the problems or misconceptions about physics content. We observed groups of students solving quantum mechanics…

Physics Education · Physics 2017-08-23 Bahar Modir , John D. Thompson , Eleanor C Sayre

Reliable and validated assessments of introductory physics have been instrumental in driving curricular and pedagogical reforms that lead to improved student learning. As part of an effort to systematically improve our sophomore-level…

Physics Education · Physics 2013-06-13 Marcos D. Caballero , Steven J. Pollock