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MathPad2 is a prototype Tablet PC application for mathematical problem solving. At the core of its functionality is the novel concept of mathematical sketching, making dynamic illustrations by combining handwritten mathematics and free-form diagrams. MathPad2 is designed so a user can create simple illustrations as if they were working with pencil and paper. Teachers can use MathPad2 to quickly create illustrations to be used in their lessons and students can use the application to aid in their studies. As examples, the screenshot above shows a mathematical sketch for a damped harmonic oscillator. The handwritten mathematics is associated to the drawing using a simple gestural user interface. The diagram will animate according to this mathematical specification. Users can also change system parameters to see how the oscillator is affected under various conditions. The screenshot below shows MathPad2's graphing capability. Users can simply write down mathematical expressions and graph them using a simple line gesture.