From iteration to one - dimensional discrete dynamical systems using CAS

Csaba Sárvári, Mihály Klincsik
2003 Teaching Mathematics and Computer Science  
In our paper we present the basic didactical framework and approaches of a course on one-dimensional discrete dynamical systems made with the help of Computer Algebra Systems (CAS) for students familiar with the fundamentals of calculus. First we review some didactical principles of teaching mathematics in general and write about the advantages of the modularization for CAS in referring to the constructivistic view of learning. Then we deal with our own development, a CAS-based collection of
more » ... grams for teaching Newton's method for the calculation of roots of a real function. Included is the discussion of domains of attraction and chaotic behaviour of the iterations. We summarize our teaching experiences using CAS.
doi:10.5485/tmcs.2003.0026 fatcat:htcuodgt4fgm7gw57e5qv2cuo4