Abstract
Mathematical sketching is a pen-based, gestural interaction paradigm for mathematics problem solving. It derives from the familiar pencil-and-paper process of drawing supporting diagrams to facilitate the formulation of mathematical expressions; however, with mathematical sketching, users can also leverage their physical intuition by watching their hand-drawn diagrams animate in response to continuous or discrete parameter changes in their written formulas. Diagram animation is driven by implicit associations that are inferred, either automatically or with gestural guidance, from mathematical expressions, diagram labels, and drawing elements. In this chapter, we discuss the important issues related to the mathematical sketching paradigm such as the development of a fluid gestural user interface, recognition of mathematical expressions, and the preparation and translation of mathematical sketches into animated illustrations.
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