## Diagrammatic Representation and Inference: 4th International Conference, Diagrams 2006, Stanford, CA, USA, June 28-30, 2006, ProceedingsDave Barker-Plummer, Richard Cox, Nik Swoboda Proceedings of the 4th International Conference on Theory and Application of Diagrams, Stanford, CA, USA in June 2006. 13 revised full papers, 9 revised short papers, and 12 extended abstracts are presented together with 2 keynote papers and 2 tutorial papers. The papers are organized in topical sections on diagram comprehension by humans and machines, notations: history, design and formalization, diagrams and education, reasoning with diagrams by humans and machines, and psychological issues in comprehension, production and communication. |

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### Contents

The Hierarchy as an Illustrative Case | 1 |

Learning by Producing Diagrams | 12 |

Eye Fixations and Diagrammatic Reasoning | 13 |

CrossCultural UserExperience Design | 16 |

Communicative Signals as the Key to Automated Understanding of Simple Bar Charts | 25 |

On Line Elaboration of a Mental Model During the Understanding of an Animation | 40 |

From Diagrams to Models by Analogical Transfer | 55 |

A Beginning | 70 |

Changing Perceptions of Animated Diagrams | 168 |

The Visual and Verbal as Modes to Express Understanding of the Human Body | 173 |

Evidence from Cladograms in Biology | 176 |

Active Comparison as a Means of Promoting the Development of Abstract Conditional Knowledge and Appropriate Choice of Diagrams in Math Wo... | 181 |

Synthesizing Visual and Action Routines Using Constraint Programming | 196 |

Diagrams That Hurt | 199 |

Diagrams as Physical Models | 204 |

Visual Creative Design with the Assistance of Curious Agents | 218 |

Syntactic Variety in Boundary Logic | 73 |

Fixing Shins Reading Algorithm for Peirces Existential Graphs | 88 |

Use of Composite Heliographs for Representing Multiple Patterns | 93 |

The Visual Language of Graphics | 104 |

Simple or What? | 109 |

Topological Relations of Arrow Symbols in Complex Diagrams | 112 |

Diagrams in the Logic of Euclidean Geometry | 127 |

Rise and Fall of the First Software Engineering Notation | 130 |

Reasoning by Intervals | 145 |

Generalizing Spiders | 148 |

Diagrams in Second or Foreign Language Learning?? | 151 |

Evaluation of ERST An External Representation Selection Tutor | 154 |

The Logic of Geometric Proof | 221 |

Exploring the Effect of Animation and Progressive Revealing on Diagrammatic Problem Solving | 226 |

Visual Focus in ComputerAssisted Diagrammatic Reasoning | 241 |

A Physiological Examination of the Perception of Scatterplots | 244 |

Using Research Diagrams for Member Validation in Qualitative Research | 258 |

Androcentric Preferences for Visuospatial Representations of Gender Differences | 263 |

Exploring the Notion of Clutter in Euler Diagrams | 267 |

Using Channel Theory to Account for Graphical Meaning Generations | 283 |

Making the Case for Spatial Cognition | 286 |

301 | |

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abstract algorithm animation Archytas arrow symbols bar chart Barker-Plummer Bayesian network Berlin Heidelberg 2006 boundary algebra boundary logic caption causal cladograms clutter cognitive common references communicative signals complex components Computer constructed contour scoring database query deﬁned deﬁnition depicted diagrammatic reasoning diﬀerent display domain drawing dual-coding theory eﬀective eﬀort elements ERST ERST’s Euler diagrams example Existential Graphs experimental eye tracking ﬁgure ﬁrst ﬂow diagram function geometric graph comprehension Hegarty hierarchy inference information graphic interaction interpretation intersection knowledge label learners LNAI mathematical mental model node notation Novick objects P-model parens participants patterns perceptual performance physical models presented problem solving Psychology relationships Relevance Logics representation represented scatterplots schematic Science semantics shows space spatial abilities spatial processing speciﬁcation Springer-Verlag Berlin Heidelberg Statechart structure task theorem tion topological relations variables visual zones φ φ φ