In order to study the manifestation of data sense and identify ways of thinking about variability in authentically realistic problems in a group of Chilean fifth-grade students, a lesson plan was designed and implemented, within the framework of statistical literacy and using the "lesson study" modality, in which students were urged to…

Several decades of research suggesting differences in test performance across paper-based and computer-based assessments have been largely ameliorated through attention to test presentation equivalence, though no studies to date have focused on graph comprehension items. Test items requiring graph comprehension are increasingly common but may be…

Students and professionals from a variety of domains have demonstrated different approaches to problem solving. These two populations have displayed differences when using and perceiving multiple representations of problem-solving tools. In the domain of transportation engineering, this difference has yet to be evaluated in detail. This study…

A graph is an effective form of data representation used to summarize complex information. Explicit information such as the relationship between the X- and Y-axes can be easily extracted from a graph by applying human intelligence. However, implicit knowledge such as information obtained from other related concepts in an ontology also resides in…

We posit a dual approach to digital task design: to engineer opportunities for students to conceive of graphs as representing relationships between quantities and to foreground students' reasoning and exploration, rather than their answer-finding. Locally integrating Ference Marton's variation theory and Patrick Thompson's theory of quantitative…

This article describes the implementation of an activity with a Predict-Observe-Explain (POE) learning cycle to teach the concepts of velocity and acceleration to physics students aged 17-19. The study indicates how the instructor enacted the activity and provides sample student responses and group discussions. The description includes an example…

The study presented investigates the effects of supportive graphical interventions on the graphing skills and conceptual understanding of students in physics. In this study, the first group of participants was presented with ready-made graphs during the instruction, the second group was instructed on the proper construction and extraction of…

Teachers of students with visual impairments clearly have an important opportunity to promote graphics literacy skills for students with visual impairments through providing descriptions to make educational content accessible. Guidelines for appropriate image descriptions have been developed by the National Center on Accessible Materials (NCAM), a…

The Gauss-Lucas Theorem is a classical complex analysis result that states the critical points of a single-variable complex polynomial lie inside the closed convex hull of the zeros of the polynomial. Although the result is well-known, it is not typically presented in a first course in complex analysis. The ease with which modern technology allows…

Although visual analysis has been the primary method of analysis in single-case designs (SCD), numerous statistical analyses have been developed to quantify SCD intervention effects and enable SCDs to be included in evidence-based practice reviews. This study investigated the correspondence between expert visual analysis and three effect sizes for…

It is common for high school physics teachers to comment on the challenges they face in supporting students' graph drawing skills, knowing their importance for the study of physics. This paper suggests a novel and alternative way to support students to develop their graph drawing skills as well as teach them about sound, frequency, and amplitude.…

Given the centrality of data visualizations in communicating scientific information, increased emphasis has been placed on the development of students' graph literacy--the ability to generate and interpret data representations--to foster understanding of domain-specific knowledge and the successful navigation of everyday life. Despite prior…

In this article, a numerical method integrated with statistical data simulation technique is introduced to solve a nonlinear system of ordinary differential equations with multiple random variable coefficients. The utilization of Monte Carlo simulation with central divided difference formula of finite difference (FD) method is repeated n times to…

Two of the most fundamental skills that students acquire in introductory undergraduate physics laboratory courses are how to accurately plot data and interpret the physical meaning of linear graphs. We redesigned our graphing skills lab with an open-ended approach designed to promote inquiry in graphical analysis and to address specific areas of…

In this investigation, we (a) define the desirable features of publication-quality, single-case design graphs based on recommendations in the scholarly literature, (b) suggest GraphPad Prism as a suitable graphing program for creating graphs with those features, and (c) develop and validate a video-modeling tutorial designed to train behavior…