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Previous research has shown that students often struggle to develop an understanding of linear and quadratic relationships. Covariational reasoning has been identified as a way to support this development. This study aims to investigate how…

In this article we describe special type of mathematical problems that may help develop teaching methods that motivate students to explore patterns, formulate conjectures and find solutions without only memorizing formulas and procedures.…

历史与综述 · 数学 2022-06-02 Hugo Caerols-Palma , Katia Vogt-Geisse

The Test of Understanding Graphs in Kinematics (TUG-K) is a multiple choice test developed by Beichner to assess students' understanding of kinematics graphs. Many of the items on the TUG-K have strong distractor choices which correspond to…

物理教育 · 物理学 2016-01-19 Alexandru Maries , Chandralekha Singh

A number of tasks have been proposed recently to facilitate easy access to charts such as chart QA and summarization. The dominant paradigm to solve these tasks has been to fine-tune a pretrained model on the task data. However, this…

计算与语言 · 计算机科学 2023-12-19 Xuan Long Do , Mohammad Hassanpour , Ahmed Masry , Parsa Kavehzadeh , Enamul Hoque , Shafiq Joty

Scientists who study how the brain solves problems have recently verified that, because of stringent limitations in working memory, where the brain solves problems, students must apply facts and algorithms that have previously been well…

物理教育 · 物理学 2021-02-17 JudithAnn R. Hartman , Eric A. Nelson

Most students struggle when faced with complex and ill-structured tasks because the strategies taught in schools and universities simply require finding and applying the correct formulae or strategy to answer well-structured, algorithmic…

物理教育 · 物理学 2008-09-08 C. A. Ogilvie

Graphs are widespread data structures used to model a wide variety of problems. The sheer amount of data to be processed has prompted the creation of a myriad of systems that help us cope with massive scale graphs. The pressure to deliver…

分布式、并行与集群计算 · 计算机科学 2014-10-09 Luis M. Vaquero , Felix Cuadrado , Matei Ripeanu

Understanding how physicists solve problems can guide the development of methods that help students learn and improve at solving complex problems. Leveraging the framework of cognitive task analysis, we conducted semi-structured interviews…

物理教育 · 物理学 2022-11-11 Mike Verostek , Molly Griston , Jesus Botello , Benjamin Zwickl

Six specific modes of reasoning about ratio and proportion have been delineated as a means of operationalizing expert practice. These modes stem from consideration of how physicists reason in context, are informed by prior work in physics…

物理教育 · 物理学 2015-12-01 Andrew Boudreaux , Stephen Kanim , Suzanne Brahmia

A graph is a mathematical object consisting of a set of vertices and a set of edges connecting vertices. Graphs can be drawn on paper in various ways, but until recently all published methods of drawing graphs have had undesirable…

人机交互 · 计算机科学 2014-05-22 Bob Blakley , G R Blakley , Sean M Blakley

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

物理教育 · 物理学 2016-02-23 Chandralekha Singh

We describe a study focusing on students' and faculty members' reasoning about problems of differing cognitive complexity related to the double-slit experiment (DSE) with single particles. In the first phase of the study, students in…

物理教育 · 物理学 2025-04-25 Alexandru Maries , Ryan Sayer , Chandralekha Singh

Diagrams are widely used in teaching computer science courses. They are useful in subjects such as automata and formal languages, data structures, etc. These diagrams, often drawn by students during exams or assignments, vary in structure,…

计算机视觉与模式识别 · 计算机科学 2026-03-10 Ethan Young , Zichun Wang , Aiden Taylor , Chance Jewell , Julian Myers , Satya Sri Rajiteswari Nimmagadda , Anthony White , Aniruddha Maiti , Ananya Jana

Large language models (LLMs) can now generate physics practice problems in real time, yet the educational value of these items hinges on rapid, reliable post-generation vetting. In this exploratory study, we investigated which automated…

物理教育 · 物理学 2026-04-13 Tobias Geisler , Gerd Kortemeyer

Mathematics is the language of science. Fluent and productive use of mathematics requires one to understand the meaning embodied in mathematical symbols, operators, syntax, etc., which can be a difficult task. For instance, in algebraic…

物理教育 · 物理学 2019-09-26 Tra Huynh , Eleanor C Sayre

This study explores the effectiveness of using knowledge graphs generated by large language models to decompose high school-level physics questions into sub-questions. We introduce a pipeline aimed at enhancing model response quality for…

Quantum mechanics is challenging even for advanced undergraduate and graduate students. Dirac notation is a convenient notation used extensively in quantum mechanics. We have been investigating the difficulties that the advanced…

物理教育 · 物理学 2016-02-18 Chandralekha Singh , Emily Marshman

An expeditious development of graph learning in recent years has found innumerable applications in several diversified fields. Of the main associated challenges are the volume and complexity of graph data. The graph learning models suffer…

机器学习 · 计算机科学 2022-10-21 Ciyuan Peng , Feng Xia , Vidya Saikrishna , Huan Liu

Developing expertise in diagnostic reasoning requires practice with diverse student artifacts, yet privacy regulations prohibit sharing authentic student work for teacher professional development (PD) at scale. We present DrawSim-PD, the…

计算机与社会 · 计算机科学 2026-02-03 Arijit Chakma , Peng He , Honglu Liu , Zeyuan Wang , Tingting Li , Tiffany D. Do , Feng Liu

This work examines student meaning-making in undergraduate physics problem-solving. We use a social semiotic perspective to sketch a theoretical framework. The social semiotic approach focuses on all types of meaning-making practices that…

物理教育 · 物理学 2019-01-30 Nandana Weliweriya , Eleanor C Sayre , Dean A Zollman