Each of the aforementioned objectives for adopting an online learning environment involve strategies forenhancing communication.However, technical communication involves multiple “languages”, including words, pictures, and equations. The words part is easy: all online systems (e.g. email, web pages, social media) are developed with a text requirement as a fundamental feature. For many types of communication, the use of words alone is satisfactory. But for technical disciplines, effective communication oftenrequiresthe use of pictures and equations in addition to words, and this is where many online systems fall short. An ideal platform will not only support the transmission of image and equation data, but it will support their nativecreation.Users should be able to make a quick sketch using a built-in feature of the application, and they should be able to quickly type an equation using standardized conventions. And then a user should be able to quickly annotate a picture or equation sent by another user.
With regards to implementing a solution for incorporating equations into online content:
There have been many piecemeal approaches to typesetting equations in word processors, html, and the like; most approaches are unsatisfactory. The one method for typesetting equations that has begun to approach a standard is LaTeX. LaTeX is a document markup language for the TeX typsetting program. Equations are typeset using a text-based series of commands. There is a relatively small learning curve, but the quality of the output is superb (see Fig. 2, prepared with LaTeX).
LaTeX commands can be incorporated into an online learning environment. Any text that is typed between a special set of markers (typically dollar signs, e.g., $a+b=c$) is interpreted by the system as a LaTeX command and displayed as a typeset equation. I am aware of one online learning environment called that has taken this approach. I plan to test this environment in the next academic year with a large (120 student) undergraduate class in fluid mechanics.