This post describes a new, powerful tool, called a dot-dot simulation, for experiencing function behavior when both the input and output variables of the function describe discrete units. To use the tool, you enter a function, enter a minimum and maximum value for the domain, as well as a minimum and maximum value for the range. The tool then allows you to visualize the input and output pairs of the function as side-by-side columns of stacked dots.

My name is Harry O'Malley.  I am a math teacher.  I am developing techniques, content, and ideas that I believe can be formed together to create a new, scalable math paradigm that is better than the current one.  I have created this blog so that: I am forced to think...