The topic of Markov chains is a synthesis of Probability and matrix theory enabling one to tackle mathematically a variety of problems characterized by randomness and connected to many sectors of the human activity. In this work a finite Markov chain is introduced representing mathematically the teaching process which is based on the ideas of constructivism for learning. Interesting conclusions are derived and a measure is obtained for the teaching effectiveness. An example on teaching the derivative to fresher university students is also presented illustrating our results.