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Reasoning with Diagrammatic Representations II

Papers from the 1997 Fall Symposium

Michael Anderson, Program Cochair

Technical Report FS-97-03. Published by The AAAI Press, Menlo Park, California

This technical report is also available in book and CD format.

Please Note: Abstracts are linked to individual titles, and will appear in a separate browser window. Full-text versions of the papers are linked to the abstract text. Access to full text may be restricted to AAAI members. PDF file sizes may be large!

Contents

Introduction

Diagrammatic Representation and Reasoning: Some Distinctions / 1
B. Chandrasekaran

Computational Perspective

Using Diagrams to Understand Diagrams: A Case-Based Approach to Diagrammatic Reasoning / 6
Dale E. Fish and Robert McCartney

Knowing About Diagrams / 15
Robert K. Lindsay

Diagrammatic Transformation Processes on Relational Maps / 23
Christoph Schlieder

Interpreting the Engineer’s Sketch: A Picture is Worth a Thousand Constraints / 31
Thomas F. Stahovich

Theoretical Perspective

On the Practical Semantics of Mathematical Diagrams / 39
David Barker-Plummer and Sidney C. Bailin

Automation of Diagrammatic Reasoning / 51
Mateja Jamnik, Alan Bundy and Ian Green

Formalization of Visual Mathematical Notations / 58
Bernd Meyer

Implementing Euler-Venn Reasoning Systems / 69
Nikolaus G. Swoboda

Cognitive Perspective

Diagrams About Thoughts About Thoughts About Diagrams / 77
Alan F. Blackwell

Components of a Cognitive Theory of Problem Solving and Discovery with Law Encoding Diagrams / 85
Peter C-H. Cheng

A Model of the Cognitive and Perceptual Processes in Graphical Display Comprehension / 94
Priti Shah

How Do Designers Shift Their Focus of Attention in Their Own Sketches? / 102
Masaki Suwa and Barbara Tverskys

The Role of Working Memory and External Representation in Individual Decision Making / 109
Jozsef A. Toth and C. Michael Lewis

Cognitive Principles of Graphic Displays / 116
Barbara Tversky

Using Diagrammatic Representations in Mathematical Modeling: The Sketches of Expert Modelers / 125
Laurie B. Waisel, William A. Wallace and Thomas R. Willemain

Learning From Explanations: Diagrams Can "Inhibit" the Self-Explanation Effect / 136
Bernadette Wilkin

Bars and Lines: A Study of Graphic Communication / 144
Jeff Zacks and Barbara Tversky

Invitation List / 151

Author Index / 154

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