This is the applet table for the Applet Assignment, consisting of 5 applets and 5 applet collections.
I would like to quickly provide an explanation of why I chose the 5 particular applets in the table
and how they could be used in a project about Fields.
Distributive Property Applet: I have personally never seen the distributive property explained in a
geometric manner. Since our project packet says that our website isn't just for mathematicians, I thought
that this could highlight the property in an easy-to-access manner.
Matrix Multiplication Explanation: While talking about fields, I think it is important to provide not
only examples of fields, but also non-examles, so that students (or really anybody) can tell the difference.
Since matrix multiplicaiton isn't commutative, it isn't a field. As such, this can be used to explore a system
that fails.
Modular Arithmetic with Clocks: I have 2 applets on here about Modular Arithmetic, however this is the simpler version.
I want to explain some modular arithmetic in my project, since some fields do exist in modular arithmetic. This applet can
be a simple introduction to the concept for those for are unfamiliar before diving deeper into the subject.
Associativity Applet: This applet has a straight-forward purpose on my website. It will be a different way to show
people how the associativity property works. In this case, we get to show how vectors also follow the associativity property,
which allows me to provide an interactive and visual representation of the property in action.
Modular Multiplicative Inverse Calculator: This is an applet that I chose specifically for mathematicians who have already seen
modular arithmatic in some form. In essence, I want this to be a quick reminder of how modular arithmetic can have multaplicative inverses,
which is one of the axioms for being considered a field.