Diagrammatic Representation and Reasoning

✍ Scribed by Aaron Sloman (auth.), Michael Anderson MSc, PhD, Bernd Meyer Dr rer nat, Patrick Olivier MA, MSc, PhD (eds.)

• Publisher: Springer-Verlag London
• Year: 2002
• Tongue: English
• Leaves: 574
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XV
Front Matter....Pages 1-5
Diagrams in the Mind?....Pages 7-28
Knowing About Diagrams....Pages 29-46
A Meta-Taxonomy for Diagram Research....Pages 47-64
Sketches as Mental Reifications of Theoretical Scientific Treatment....Pages 65-83
The Fundamental Design Variables of Diagramming....Pages 85-102
Front Matter....Pages 103-108
Psychological Perspectives on Diagrams and their Users....Pages 109-123
Combining Semantic and Cognitive Accounts of Diagrams....Pages 125-140
Tactile Maps and a Test of the Conjoint Retention Hypothesis....Pages 141-154
Spatial Abilities in Problem Solving in Kinematics....Pages 155-171
Graph Comprehension: The Role of Format, Content and Individual Differences....Pages 173-185
Graphs in Print....Pages 187-206
The Role of Representation and Working Memory in Diagrammatic Reasoning and Decision Making....Pages 207-221
Mechanical Reasoning about Gear-and-belt Diagrams: Do Eye-movements Predict Performance?....Pages 223-240
How do Designers Shift their Focus of Attention in their Own Sketches?....Pages 241-254
Front Matter....Pages 255-260
Diagrammatic Evaluation of Visual Mathematical Notations....Pages 261-277
A Topological Framework for Modelling Diagrammatic Reasoning Tasks....Pages 279-295
Multiple Readings of Peirce’s Alpha Graphs....Pages 297-314
On Automating Diagrammatic Proofs of Arithmetic Arguments....Pages 315-338
On the Practical Semantics of Mathematical Diagrams....Pages 339-355
EnE Sentences and Local Extent in Diagrams....Pages 357-369
Front Matter....Pages 255-260
Implementing Euler/Venn Reasoning Systems....Pages 371-386
Visual Spatial Query Languages: A Semantics Using Description Logic....Pages 387-403
Front Matter....Pages 405-410
Intelligent Diagrammatic Interfaces: State of the Art....Pages 411-429
Towards Diagram Processing: A Diagrammatic Information System....Pages 431-445
Using Diagrams to Understand Diagrams: A Case-Based Approach to Diagrammatic Reasoning....Pages 447-465
Interpreting the Engineer’s Sketch: A Picture is Worth a Thousand Constraints....Pages 467-483
Diagramming Research Designs....Pages 485-504
How to Build a (Quite General) Linguistic Diagram Editor....Pages 505-520
AVOW Diagrams: A Novel Representational System for Understanding Electricity....Pages 521-533
AsbruView: Capturing Complex, Time-Oriented Plans — Beyond Flow Charts....Pages 535-549
Acting with Diagrams: How to Plan Strategies in Two Case Studies....Pages 551-563
Specifying Diagram Languages by Means of Hypergraph Grammars....Pages 565-579
Back Matter....Pages 581-584

✦ Subjects

Applications of Mathematics; Artificial Intelligence (incl. Robotics); Logic