Diagrammatic Representation and Reasoning

1. Front Matter

   Pages I-XV

   PDF

2. Views of Diagrams

   1. Front Matter

      Pages 1-5

      PDF

   2. Diagrams in the Mind?

      • Aaron Sloman

      Pages 7-28

   3. Knowing About Diagrams

      • Robert K. Lindsay

      Pages 29-46

   4. A Meta-Taxonomy for Diagram Research

      • Alan Blackwell, Yuri Engelhardt

      Pages 47-64

   5. Sketches as Mental Reifications of Theoretical Scientific Treatment

      • Daniela M. Bailer-Jones

      Pages 65-83

   6. The Fundamental Design Variables of Diagramming

      • Clive Richards

      Pages 85-102

3. Cognitive Aspects of Diagrams

   1. Front Matter

      Pages 103-108

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   2. Psychological Perspectives on Diagrams and their Users

      • Alan F. Blackwell

      Pages 109-123

   3. Combining Semantic and Cognitive Accounts of Diagrams

      • Corin A. Gurr

      Pages 125-140

   4. Tactile Maps and a Test of the Conjoint Retention Hypothesis

      • Simon Ungar, Mark Blades, Christopher Spencer

      Pages 141-154

   5. Spatial Abilities in Problem Solving in Kinematics

      • Maria Kozhevnikov, Mary Hegarty, Richard Mayer

      Pages 155-171

   6. Graph Comprehension: The Role of Format, Content and Individual Differences

      • Priti Shah

      Pages 173-185

   7. Graphs in Print

      • Jeff Zacks, Ellen Levy, Barbara Tversky, Diane Schiano

      Pages 187-206

   8. The Role of Representation and Working Memory in Diagrammatic Reasoning and Decision Making

      • Jozsef A. Toth, C. Michael Lewis

      Pages 207-221

   9. Mechanical Reasoning about Gear-and-belt Diagrams: Do Eye-movements Predict Performance?

      • Leon Rozenblit, Michael Spivey, Julie Wojslawowicz

      Pages 223-240

   10. How do Designers Shift their Focus of Attention in their Own Sketches?

       • Masaki Suwa, Barbara Tversky

       Pages 241-254

4. Formal Aspects of Diagrammatic Reasoning

   1. Front Matter

      Pages 255-260

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   2. Diagrammatic Evaluation of Visual Mathematical Notations

      • Bernd Meyer

      Pages 261-277

   3. A Topological Framework for Modelling Diagrammatic Reasoning Tasks

      • Jean-Louis Giavitto, Erika Valencia

      Pages 279-295

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.

• artificial intelligence
• attention
• cognitive science
• description logic
• grammar
• human-computer interaction (HCI)
• information system
• intelligence
• linear optimization
• memory
• modeling
• multimedia
• problem solving
• semantics
• visualization

• Department of Computer and Information Sciences, Fordham University, Bronx, USA

  Michael Anderson

• School of Computer Science and Software Engineering, Monash University, Victoria, Australia

  Bernd Meyer

• Department of Computer Science, University of York, Heslington, UK

  Patrick Olivier

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