The display may be a single snapshot or a string of pictures presented as a slide show or a short film. A variety of approaches can be taken with students at many levels. Students can begin to analyze data and express relationships verbally. Students will develop concepts and images for fast and slow change, increasing, decreasing, and steady-state systems. Numerical analysis can be made by finding differences, ratios, and patterns.
Dynamical analysis leads to the development of discrete models based on difference equations.
Advanced students can set up and analyze differential equations using numerical techniques like Euler's Method or the analytic techniques of traditional calculus classes. Some numerical techniques like Euler's Method are accessible to algebra students. The remainder of this paper is a brief summary of some of the major concepts and techniques discussed during the institute. At the end of each major heading is a list of the activities contained in this module that should be appropriate for that topic. However, many of these activities have broad application and the placement of activities should not be considered immutable.