Coordinating mathematical content and presentation markup in interactive mathematical documents

Abstract

This paper presents a method for representing mathematical content and presentation markup in interactive mathematical documents that treats each view of the information on a separate and equal footing. By providing extensible, overridable, default mappings from content to presentation in a w a y that supports e cient mappings back from the presentation to the underlying content, a user interface for an interactive textbook has been implemented where the user interacts with high-quality presentation markup that supports user operations de ned in terms of the mathematical content. In addition, the user interface can be insulated from content-speci c information, while still being enabled to transfer that information to other programs for computation. This method has been employed to embedinteractive mathematical content i n to the IBM techexplorer 11 Interactive Textbook for Linear Algebra. The issues involved in the implementation of the interactive textbook also shed some light on the problems faced by the MathML working group 6 in representing both presentation and content for mathematics for interactive w eb documents.

An On-line MathML Editing Tool for Web Applications

“…The ability for users to interactively create and manipulate mathematical expressions is very important for systems such as Science Communication Environment, Computer Algebra Systems, and Webbased Mathematics Education [8,14,15,25,26]. MathEdit is a browser-based mathematical expression editor developed jointly by Lanzhou university/China and Kent University/USA [2,23,27].…”