Student difficulties with graphical representations of negative values of velocity

1989 ◽  
Vol 27 (4) ◽  
pp. 254-260 ◽  
Author(s):  
Fred M. Goldberg ◽  
John H. Anderson
Keyword(s):  
Graphical Representations ◽  
Student Difficulties

scholarly journals Student difficulties regarding symbolic and graphical representations of vector fields

2017 ◽  
Vol 13 (2) ◽  
Author(s):  
Laurens Bollen ◽  
Paul van Kampen ◽  
Charles Baily ◽  
Mossy Kelly ◽  
Mieke De Cock
Keyword(s):  
Vector Fields ◽  
Graphical Representations ◽  
Student Difficulties

Visualization of Enneper’s surface by line graphics

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 387-405 ◽  
Author(s):  
Vesna Velickovic
Keyword(s):  
Minimal Surface ◽  
Graphical Representations ◽  
Lines Of Curvature ◽  
Geodesic Lines

Here we study Enneper?s minimal surface and some of its properties. We compute and visualize the lines of self-intersection, lines of intersections with planes, lines of curvature, asymptotic and geodesic lines of Enneper?s surface. For the graphical representations of all the results we use our own software for line graphics.

Proof Theory of the Cut Rule

2018 ◽  
Author(s):  
J. R. B. Cockett ◽  
R. A. G. Seely
Keyword(s):  
Proof Theory ◽  
Graphical Representation ◽  
Basic Component ◽  
Graphical Representations ◽  
Mathematical Language ◽  
Basic Logic ◽  
Cut Rule ◽  
Structural Rules ◽  
The One ◽  
Categorical Semantics

This chapter describes the categorical proof theory of the cut rule, a very basic component of any sequent-style presentation of a logic, assuming a minimum of structural rules and connectives, in fact, starting with none. It is shown how logical features can be added to this basic logic in a modular fashion, at each stage showing the appropriate corresponding categorical semantics of the proof theory, starting with multicategories, and moving to linearly distributive categories and *-autonomous categories. A key tool is the use of graphical representations of proofs (“proof circuits”) to represent formal derivations in these logics. This is a powerful symbolism, which on the one hand is a formal mathematical language, but crucially, at the same time, has an intuitive graphical representation.

Reducing misperceptions through news stories with data visualization: The role of readers’ prior knowledge and prior beliefs

Journalism ◽  
2021 ◽  
pp. 146488492110287
Author(s):  
Paul Mena
Keyword(s):  
Experimental Design ◽  
Prior Knowledge ◽  
Data Visualization ◽  
Accurate Information ◽  
Graphical Representations ◽  
Prior Beliefs ◽  
News Stories ◽  
Issue Involvement

Amid the global discussion on ways to fight misinformation, journalists have been writing stories with graphical representations of data to expose misperceptions and provide readers with more accurate information. Employing an experimental design, this study explored to what extent news stories correcting misperceptions are effective in reducing them when the stories include data visualization and how influential readers’ prior beliefs, issue involvement and prior knowledge may be in that context. The study found that the presence of data visualization in news articles correcting misperceptions significantly enhanced the reduction of misperceptions among news readers with less than average prior knowledge about an issue. In addition, it was found that prior beliefs had a significant effect on news readers’ misperceptions regardless of the presence or absence of data visualization. In this way, this research offers some support for the notion that data visualization may be useful to decrease misperceptions under certain circumstances.

Clustered Iconography: A Resurrected Method for Representing Multidimensional Data

2020 ◽  
pp. 004912412091494
Author(s):  
Olav Muurlink ◽  
Anthony M. Gould ◽  
Jean-Etienne Joullié
Keyword(s):  
Twentieth Century ◽  
Open Source ◽  
Multidimensional Data ◽  
Statistical Techniques ◽  
Graphical Representations ◽  
Graphical Methods ◽  
History Of ◽  
Research Findings

Development of graphical methods for representing data has not kept up with progress in statistical techniques. This article presents a brief history of graphical representations of research findings and makes the case for a revival of methods developed in the early and mid-twentieth century, notably ISOTYPE and Chernoff’s faces. It resurrects and improves a procedure, clustered iconography, which enables the presentation of multidimensional data through which readers engage more effectively with the presentation’s central message by way of an easier understanding of relationships between variables. The proposed technique is especially well adapted to the needs and protocols of open-source research.

scholarly journals Individual Preferences for Giving

2007 ◽  
Vol 97 (5) ◽  
pp. 1858-1876 ◽  
Author(s):  
Raymond Fisman ◽  
Shachar Kariv ◽  
Daniel Markovits
Keyword(s):  
Utility Maximization ◽  
Social Preferences ◽  
Graphical Representations ◽  
Individual Level ◽  
Individual Preferences ◽  
Dictator Games ◽  
Trade Offs ◽  
Level Data ◽  
Budget Sets ◽  
Baseline Experiment

We utilize graphical representations of Dictator Games which generate rich individual-level data. Our baseline experiment employs budget sets over feasible payoff-pairs. We test these data for consistency with utility maximization, and we recover the underlying preferences for giving (trade-offs between own payoffs and the payoffs of others). Two further experiments augment the analysis. An extensive elaboration employs three-person budget sets to distinguish preferences for giving from social preferences (trade-offs between the payoffs of others). And an intensive elaboration employs step-shaped sets to distinguish between behaviors that are compatible with well-behaved preferences and those compatible only with not well-behaved cases. (JEL C72, D64)

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