
Diagrammatic Representation and Inference
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The 12 revised full papers and 11 short papers presented together with 5 posters were carefully reviewed and selected from 48 submissions. The papers are organized in the following topical sections: cognitive aspects of diagrams; logic and diagrams; Euler and Venn diagrams; diagrams and education; design principles for diagrams; diagrams layout.
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Content
- Intro
- Preface
- Organization
- The Power of Diagrams in Science and Challenges of Diagrams in Science Education
- The Visualizing Spirit in the Twenty-First Century
- Graduate Symposium
- Workshop and Tutorials
- Contents
- Cognitive Aspects of Diagrams
- Diagrams Affect Choice of Strategy in Probability Problem Solving
- Abstract
- 1 Introduction
- 1.1 Background
- 1.2 The Present Study
- 2 Method
- 2.1 Participants
- 2.2 Materials
- 2.3 Design and Procedure
- 3 Results
- 3.1 Coding
- 3.2 Analysis of the Work-Group (Combinations) Problem: Effects of the N-by-N Table Versus the Binary Tree
- 3.3 Analysis of the Spinner (Independent Events) Problem: Effects of the N-by-N Table Versus the N-ary Tree
- 4 General Discussion
- References
- What Constitutes an Effective Representation?
- Abstract
- 1 Introduction
- 2 Sample Topic and Representations: Particle Collisions
- 3 Access to Concepts: From ER to IR
- 4 Generating ERs
- 5 Discussion
- References
- Measuring User Comprehension of Inference Rules in Euler Diagrams
- 1 Introduction
- 2 Euler Diagrams
- 3 Experimental Design
- 4 Analysis
- 5 Interpretation
- 6 Conclusion
- References
- Exploring Representations of Student Time-Use
- 1 Introduction
- 1.1 Space and Time as Representational Media
- 1.2 Flexibility in Representation
- 2 Method
- 2.1 Materials and Procedure
- 2.2 Coding Scheme
- 3 Results
- 3.1 Use of Space
- 3.2 Use of Form
- 3.3 Primary Mechanisms
- 4 Discussion
- 4.1 Student Productions
- 4.2 Implications and Future Work
- References
- Logic and Diagrams
- Evaluating Diagrammatic Patterns for Ontology Engineering
- 1 Introduction
- 2 Concept Diagrams
- 3 Ontology Patterns
- 3.1 Patterns Involving only Classes
- 3.2 Patterns Involving Classes and Properties
- 3.3 All Values From Patterns
- 3.4 Some Values From Patterns
- 3.5 Domain Patterns
- 3.6 Range Patterns
- 4 Empirical Study
- 4.1 Experiment Execution
- 5 Results
- 5.1 Overall Analysis
- 5.2 All Values from Analysis
- 5.3 Some Values from Analysis
- 5.4 Domain Analysis
- 5.5 Range Analysis
- 5.6 Summary of Analysis
- 6 Discussion
- 7 Conclusion
- References
- The Interaction Between Logic and Geometry in Aristotelian Diagrams
- 1 Introduction
- 2 Informational and Computational Equivalence
- 3 Logic Versus Geometry in Aristotelian Diagrams
- 4 Aristotelian Diagrams with Two PCDs
- 5 Aristotelian Diagrams with Three PCDs
- 6 Conclusions and Future Work
- References
- A Generic Approach to Diagrammatic Representation: The Case of Single Feature Indicator Systems
- 1 Introduction
- 2 The General Picture
- 3 Channel Theory and Representation Systems
- 3.1 Types
- 3.2 Constraints
- 3.3 Theories
- 3.4 Representation Systems
- 4 Observations Underlying the Concept of SFIS
- 4.1 First Observation: Roles
- 4.2 Second Observation: Values
- 4.3 Third Observation: Features in the Source Domain
- 4.4 Fourth Observation: Feature in the Target Domain
- 4.5 Fifth Observation: Semantic Correspondence of Features
- 5 Single Feature Indicator Systems -- Formalized
- 5.1 Features
- 5.2 Single Feature Indicator Systems
- 5.3 Single Feature Indicator System with Neutrality
- 6 Specifications and Semantic Consequence
- 7 Inference Rules
- 7.1 Contradiction
- 7.2 Erasure
- 7.3 Proof by Cases
- 7.4 Disjunction
- 7.5 Conjunction
- 8 Conclusion
- References
- A Logical Investigation of Heterogeneous Reasoning with Graphs in Elementary Economics
- 1 Reasoning with Graphs in Economics
- 2 Heterogeneous Logic with Graphs in Economics HLGe
- 3 Abduction in Economic Reasoning
- References
- Euler and Venn Diagrams
- Minimizing Clutter Using Absence in Venn-ie
- 1 Introduction
- 2 Representing Absence Diagrammatically
- 3 Syntax and Semantics of Venn-ie
- 4 Measuring Clutter
- 5 Minimizing Clutter in Inconsistent Diagrams
- 6 Minimizing Clutter in Consistent Diagrams
- 7 Cognitive Implications
- 8 Discussion and Conclusion
- References
- Human Reasoning with Proportional Quantifiers and Its Support by Diagrams
- 1 Introduction
- 2 Background on Proportional Quantifiers
- 3 Diagrams of Proportional Quantifiers
- 3.1 A Problem in Diagrammatic Representation of Most
- 3.2 Reasoning with Proportional Diagrams
- 3.3 Predictions
- 4 Experiment
- 4.1 Method
- 4.2 Results and Discussion
- 5 Conclusion and Future Work
- Appendix 1: The Results of Each Task
- Appendix 2: Instructions Used in Experiment
- References
- Extensions of Euler Diagrams in Peirce's Four Manuscripts on Logical Graphs
- Abstract
- 1 Ms 479 ("On Logical Graphs", 1903)
- 2 Ms 481 ("On Logical Graphs", 1896-7)
- 3 Ms 1147 ("Logical Graphs", 1901)
- 4 Ms 855 ("A Logical Criticism of the Articles of Religious Faith", 1911)
- 5 Conclusions
- Acknowledgments
- A Appendix
- References
- Diagrams and Education
- Hint, Instruction, and Practice: The Necessary Components for Promoting Spontaneous Diagram Use in Students' Written Work?
- Abstract
- 1 Introduction
- 1.1 Factors that Influence Diagram Use in Communicative Situations
- 1.2 Problem Statement and Overview of the Present Study
- 2 Method
- 2.1 Participants
- 2.2 Materials and Procedure
- 2.3 Analysis
- 3 Results
- 3.1 Did the Interventions Have an Effect on Students' Diagram Use in Their Homework?
- 3.2 Did the Students' Diagram Use in Their Written Work Increase from Beginning to End of the Semester?
- 4 Discussion
- 4.1 Why the Interventions Worked
- 4.2 Transfer to Other Tasks
- 4.3 Conclusion
- Acknowledgments
- References
- Promoting Multi-perspective Integration as a 21st Century Skill: The Effects of Instructional Methods Encouraging Students' Spontaneous Use of Tables for Organizing Information
- Abstract
- 1 Introduction
- 1.1 The Necessity of Integrating Multiple Perspectives for Surviving in the 21st Century
- 1.2 How to Promote Multi-perspective Integration: The Effect of Diagrams
- 1.3 Tables as Thinking Tools for Multi-Perspective Integration
- 1.4 Overview and Hypothesis of the Current Studies
- 2 Method
- 2.1 Participants and Experimental Design
- 2.2 Materials
- 2.3 Procedure
- 3 Results
- 3.1 Analysis of Performing Argumentation Task
- 3.2 Analysis of General Beliefs Task
- 4 Discussion
- 4.1 The Effects of Manipulations on Students' Performance and Beliefs
- 4.2 Implications for Diagrams Research Areas
- 4.3 Implications for Education and Directions for Future Research
- Acknowledgments
- References
- Using Diagrammatic Drawings to Understand Fictional Spaces: Exploring the Buendía House in Gabriel García Márquez's One Hundred Years of Solitude
- Abstract
- 1 Introduction
- 2 Method
- 2.1 Participants
- 2.2 Procedure
- 2.3 Analyses
- 3 Results and Discussion
- 3.1 Accuracy of Spatial Details Described in the Text
- 3.2 Cultural Interpretations of the Buendía House
- 4 Conclusion
- References
- Design Principles for Diagrams
- An Investigation into OWL for Concrete Syntax Specification Using UML Notations
- 1 Introduction
- 2 Background
- 2.1 OWL
- 2.2 Selected UML Class Diagram Notations
- 2.3 RCC-8
- 3 Related Work
- 4 Concrete Syntax Specification of UML Notations
- 4.1 Modeling and Encoding Primitive Elements
- 4.2 Modeling and Encoding Spatial Relationships
- 4.3 Specification of UML Class Diagram Notations
- 5 Verification Criteria for Concrete Syntax Specification
- 6 Evaluation of the Concrete Syntax Specification
- 7 Concrete Syntax Ontology to Support Diagram Interpretation
- 8 Conclusion
- References
- Using One-Dimensional Compaction for Smaller Graph Drawings
- 1 Introduction
- 2 Layer-Based Drawings
- 3 Connected Components with External Extensions
- 4 Final Remarks
- References
- On Comments in Visual Languages
- 1 Introduction
- 2 Heuristics
- 2.1 Discussion
- 3 Evaluation
- 3.1 Discussion
- 4 Conclusion
- References
- Bistable Perception and Fractal Reasoning
- Abstract
- 1 Bistable Perception
- 2 The Necker Cube as a Fractal Visual Analogy Problem
- 3 Results
- 4 Implications
- References
- Diagrams Layout
- Who, Where, When and with Whom? Evaluation of Group Meeting Visualizations
- 1 Introduction
- 2 Related Work
- 3 Time-Dependent Location-Based Visualization
- 4 Empirical Evaluation
- 5 Results
- 5.1 RQ1 - Correctness
- 5.2 RQ2 - Recognition Rate
- 5.3 RQ3 - Preference
- 5.4 RQ4 - Saliency
- 6 Discussion
- 7 Design Considerations
- 8 Conclusion
- References
- The Perception of Clutter in Linear Diagrams
- 1 Introduction
- 2 Four Measures of Clutter for Linear Diagrams
- 3 Experiment Design
- 4 Experiment Execution, Analysis and Results
- 5 Conclusion
- References
- People, Place, and Time: Inferences from Diagrams
- Abstract
- 1 Introduction
- 2 Method
- 2.1 Participants
- 2.2 Procedure
- 3 Results
- 3.1 Primary and Secondary Organizers
- 3.2 Number of Statements/Inferences
- 4 Discussion
- Acknowledgments
- References
- Exploring the Types of Messages that Pie Charts Convey in Popular Media
- 1 Introduction
- 2 Pie Chart Message Categories
- 2.1 Most Frequent Message Categories
- 2.2 Annotation and Inter-Coder Agreement
- 3 Communicative Signals
- 4 Conclusion
- References
- Comparison of Diagrams in Producing and Understanding Hierarchies in Three Different Application Domains
- 1 Introduction
- 2 Method
- 2.1 Participants
- 2.2 Design and Materials
- 2.3 Procedure
- 3 Results
- 3.1 Production
- 3.2 Comprehension
- 4 Discussion and Conclusion
- References
- Posters
- Evaluating the Effects of Colour in LineSets
- 1 Introduction
- 2 Experiment Design
- 3 Statistical Analysis
- 4 Conclusion and Future Work
- References
- Negative Terms in Euler Diagrams: Peirce's Solution
- Abstract
- 1 Introduction
- 2 Peirce's Solution
- 3 Conclusion
- Acknowledgments
- References
- Visualising the Boolean Algebra B4 in 3D
- References
- Single Feature Indicator Systems in the Openbox
- 1 Introduction
- 2 Single Feature Indicator Systems in the Openbox
- 3 Conclusion and Further Work
- References
- Effective Representation of Information: Generalizing Free Rides
- References
- Author Index
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