MathPad2: a system for the creation and exploration of mathematical sketches
ACM SIGGRAPH 2004 Papers
Mathematical sketching: a new approach to creating and exploring dynamic illustrations
Mathematical sketching: a new approach to creating and exploring dynamic illustrations
Game Physics Engine Development (The Morgan Kaufmann Series in Interactive 3D Technology)
Game Physics Engine Development (The Morgan Kaufmann Series in Interactive 3D Technology)
Advances in Mathematical Sketching: Moving Toward the Paradigm's Full Potential
IEEE Computer Graphics and Applications
Applying mathematical sketching to sketch-based physics tutoring software
SG'10 Proceedings of the 10th international conference on Smart graphics
PhysicsBook: a sketch-based interface for animating physics diagrams
Proceedings of the 2012 ACM international conference on Intelligent User Interfaces
A paradigm for handwriting-based intelligent tutors
International Journal of Human-Computer Studies
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We present a new approach for creating dynamic illustrations to assist in the understanding of concepts in physics and mathematics using pen-based interaction. Our approach builds upon mathematical sketching by combining the ability to make associations between handwritten mathematics and free-form drawings with an underlying physics engine. This combination lets users create animations without having to directly specify object behavior with position functions through time, yet still supports writing the mathematics needed to formulate a problem. This functionality significantly expands the capabilities of mathematical sketching to support a wider variety of dynamic illustrations. We describe our approach to creating this mathematical sketching/physics engine fusion and discuss how it provides a foundation for using mathematical sketching in intelligent tutoring systems.