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Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend. They are a…

Physics Education · Physics 2023-03-20 Edward F. Redish

This paper presents a systematic review of benchmarks and approaches for explainability in Machine Reading Comprehension (MRC). We present how the representation and inference challenges evolved and the steps which were taken to tackle…

Computation and Language · Computer Science 2020-10-02 Mokanarangan Thayaparan , Marco Valentino , André Freitas

Many students in upper-division physics courses struggle with the mathematically sophisticated tools and techniques that are required for advanced physics content. We have developed an analytical framework to assist instructors and…

Physics Education · Physics 2014-10-16 Bethany R. Wilcox , Marcos D. Caballero , Daniel A. Rehn , Steven J. Pollock

The aim of this paper is to present a didactical sequence that fosters the development of meanings related to fractions, conceived as numbers that can be placed on the number line. The sequence was carried out in various elementary school…

History and Overview · Mathematics 2016-02-18 Elisabetta Robotti , Samuele Antonini , Anna Baccaglini-Frank

When the college student satisfaction survey is considered in the promotion and recognition of instructors, a usual complaint is related to the impact that biased ratings have on the arithmetic mean (used as a measure of teaching…

Applications · Statistics 2013-02-01 Pablo Dorta-González , María Isabel Dorta-González

Having been studied since long by statisticians, multivariate median concepts found their way into the image processing literature in the course of the last decades, being used to construct robust and efficient denoising filters for…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Martin Welk

In systematic reviews and meta-analysis, researchers often pool the results of the sample mean and standard deviation from a set of similar clinical trials. A number of the trials, however, reported the study using the median, the minimum…

Methodology · Statistics 2016-10-06 Xiang Wan , Wenqian Wang , Jiming Liu , Tiejun Tong

A survey was developed to probe student understanding of quantum mechanics at the beginning of graduate instruction. The survey was administered to 202 physics graduate students enrolled in first-year quantum mechanics courses from seven…

Physics Education · Physics 2016-02-23 Chandralekha Singh

Perceived discrimination is common and consequential. Yet, little support is available to ease handling of these experiences. Addressing this gap, we report on a need-finding study to guide us in identifying relevant technologies and their…

Human-Computer Interaction · Computer Science 2021-11-29 Yasaman S. Sefidgar , Paula S. Nurius , Amanda Baughan , Lisa A. Elkin , Anind K. Dey , Eve Riskin , Jennifer Mankoff , Margaret E. Morris

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…

In a lesson on holography a tension is to be found between the ray model, the wave model, the phasor model and the particle model. Lessons depend on the previous experiences of the students, the intentions of the teacher as well as on other…

Physics Education · Physics 2007-05-23 Martin Erik Horn , Helmut F. Mikelskis

The purpose of this paper is to give a survey on the notions of distance between subsets either of a metric space or of a measure space, including definitions, a classification, and a discussion of the best-known distance functions, which…

Functional Analysis · Mathematics 2018-08-09 A. Conci , C. S. Kubrusly

Many tasks aim to measure machine reading comprehension (MRC), often focusing on question types presumed to be difficult. Rarely, however, do task designers start by considering what systems should in fact comprehend. In this paper we make…

Computation and Language · Computer Science 2020-05-12 Jesse Dunietz , Gregory Burnham , Akash Bharadwaj , Owen Rambow , Jennifer Chu-Carroll , David Ferrucci

The research reported in this article represents a systematic, multi-year investigation of student understanding of the behavior of bipolar junction transistor circuits using a variety of different tasks to isolate and probe key aspects of…

Physics Education · Physics 2018-06-04 Kevin L. Van De Bogart , MacKenzie R. Stetzer

These informal notes were prepared in connection with a lecture at a high school mathematics tournament, and provide an overview of some examples of metric spaces and a few of their basic properties.

Metric Geometry · Mathematics 2010-12-10 Stephen Semmes

The main aim of this article is that students, at the basic level of education, gain a quantitative understanding of the size of molecules by performing a simple experiment easily designed within the classroom.

In structural pattern recognition, given a set of graphs, the computation of a Generalized Median Graph is a well known problem. Some methods approach the problem by assuming a relation between the Generalized Median Graph and the Common…

Computer Vision and Pattern Recognition · Computer Science 2012-11-01 Nicola Rebagliati , Albert Solé-Ribalta , Marcello Pelillo , Francesc Serratosa

Recent developments in the use of technologies in education have provided unique opportunities for teaching and learning. This paper describes the results of a survey conducted at Western University (Canada) in 2013, regarding the use of…

Computers and Society · Computer Science 2015-08-04 Gerd Gidion , Michael Grosch , Luiz Fernando Capretz , Ken Meadows

Research in astronomy education has uncovered that many learners possess limited and fragmented understanding of stars. The corresponding misconceptions manifest in various areas such as star formation, size, the relationship between stars…

Physics Education · Physics 2023-06-27 Philipp Bitzenbauer , Sarah Navarrete , Fabian Hennig , Malte S. Ubben , Joaquin M. Veith

Students in physics laboratory courses, particularly at the upper division, are often expected to engage in troubleshooting. Although there are numerous ways in which students may proceed when diagnosing a problem, not all approaches are…