Diagrammatic Representation and Reasoning

Capa
Springer Science & Business Media, 2002 - 584 páginas
Diagrams are essential in most fields of human activity. There is substan tial interest in diagrams and their use in many academic disciplines for the potential benefits they may confer on a wide range of tasks. Are we now in a position to claim that we have a science of diagrams-that is, a science which takes the nature of diagrams and their use as the central phenom ena of interest? If we have a science of diagrams it is certainly constituted from multiple disciplines, including cognitive science, psychology, artificial intelligence, logic, mathematics, and others. If there is a science of diagrams, then like other sciences there is an appli cations, or engineering, discipline that exists alongside the science. Applica tions and engineering provide tests of the theories and principles discovered by the science and extend the scope of the phenomena to be studied by gen erating new uses of diagrams, new media for presenting diagrams, or novel classes of diagram. This applications and engineering side of the science of di agrams also comprises multiple disciplines, including education, architecture, computer science, mathematics, human-computer interaction, knowledge ac quisition, graphic design, engineering, history of science, statistics, medicine, biology, and others.
 

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Conteúdo

1 Diagrams in the Mind?
7
2 Knowing About Diagrams
29
3 A MetaTaxonomy for Diagram Research
47
4 Sketches as Mental Reifications of Theoretical Scientific Treatment
65
5 The Fundamental Design Variables of Diagramming
85
Cognitive Aspects of Diagrams
103
6 Psychological Perspectives on Diagrams and their Users
109
7 Combining Semantic and Cognitive Accounts of Diagrams
125
17 Multiple Readings of Peirces Alpha Graphs
297
18 On Automating Diagrammatic Proofs of Arithmetic Arguments
315
19 On the Practical Semantics of Mathematical Diagrams
339
20 EnE Sentences and Local Extent in Diagrams
357
21 Implementing EulerVenn Reasoning Systems
371
A Semantics Using Description Logic
387
Applications of Diagrammatic Reasoning
405
State of the Art
411

8 Tactile Maps and a Test of the Conjoint Retention Hypothesis
141
9 Spatial Abilities in Problem Solving in Kinematics
155
The Role of Format Content and Individual Differences
173
11 Graphs in Print
187
12 The Role of Representation and Working Memory in Diagrammatic Reasoning and Decision Making
207
Do Eyemovements Predict Performance?
223
14 How do Designers Shift their Focus of Attention in their Own Sketches?
241
Formal Aspects of Diagrammatic Reasoning
255
15 Diagrammatic Evaluation of Visual Mathematical Notations
261
16 A Topological Framework for Modelling Diagrammatic Reasoning Tasks
279
A Diagrammatic Information System
431
A CaseBased Approach to Diagrammatic Reasoning
447
A Picture is Worth a Thousand Constraints
467
27 Diagramming Research Designs
485
28 How to Build a Quite General Linguistic Diagram Editor
505
A Novel Representational System for Understanding Electricity
521
Capturing Complex TimeOriented Plans Beyond Flow Charts
535
How to Plan Strategies in Two Case Studies
551
32 Specifying Diagram Languages by Means of Hypergraph Grammars
565
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