Math Tools & Demonstrations

In this webpage I am going to discuss how to effectively compose content in Math&STEM fields, so that anyone who is able to access it online can find it helpful.

Something that should always be stated is that watching a video or simply reading is never enough to learn a topic like math. It must be something that you DO, like working out problems on your own.

Therefore, I think it is important to get a firm grasp on what the purpose of the content you create is meant to serve. So I am going to go over three different categories of videos, and analyze their purpose, so that it can be effective.

Visualization and Explainer Videos

Let's start with the most popular and common form, which is a high quality production "explainer" video. These are usually short and sweet, and meant to capture the attention of the audience as much as possible. Their purpose should be to reinforce concepts in creative and interesting ways. Can have high impact for students already studying a subject, or who are interested in doing so.

Lecture Style and Long form

Next we have a form that is common in universities. Usually a screen share from tablet, or projection of handwritten notes. Feels more personal and like being in a classroom. Tend to come in video series, with much longer videos. Is more of a recording than a production, and is meant for the viewer to work alongside the presenter.

Interactive

These can be custom crafted on websites such as Desmos, and embedded onto your own. The key is to try and get the student to engage with ideas in their own creative ways, and see things from a new angle that way. For example, below is made to visualize linear transformations with integer scalars. Give it a try!