I found an applet on http://mathinsight.org/applet/function_iteration_cobweb_combined. I'm going to talk about it a little bit and then embed it here. This should allow you to fiddle with cobwebs a little easier.

The left frame shows the cobweb diagram (horizontal axis y or "input" and vertical axis z or "output"). In blue is the reproduction function (z=f(x)) derived from the difference equation (x_{n+1}=f(x_{n})) and in red is (z=y). You have the ability to enter in a new reproduction curve and initial condition but make sure you hit Enter for the changes to take effect. Tapping the iterate button will start the difference equation by plotting (x_n) one at a time. Hitting reset will clear stuff and in the upper right you have navigation controls. The right panel is a time series for the difference equation showing you the same data, but as it would appear as collected data.

Modeling problems from previous modeling competitions (powered by COMAP).

http://jmahaffy.sdsu.edu/courses/f09/math636/outline.html

These were guidelines for a major project done as a team in an upper division modeling course

Talk given at the SIAM Annual Meeting, 2016

PRIMUS article - PRIMUS had a special issue on writing in mathematics and this is one on mathematical modeling in particular.

Some people structure their modeling course so that students can participate in a modeling competition. COMAP has many textbooks to support mathematical modeling as well.

This is a collaboration in calculus II with the writing director on best practices in peer-review.   This link is to the version on arxiv, but the full is published in PRIMUS.

Syllabus and course assignments for a course in math modeling & scientific writing