This paper researches different computer programming teaching methods in courses in higher education. Computer programming is among the most important subjects in computer science curriculum, and the one that many students find very challenging, hence it is very important to select an appropriate teaching strategy that will provide students with the most efficient learning environment. The paper gives an overview and comparison of some of the existing teaching methods, addresses the benefits and problems associated with their application and indicates the future research that will be conducted among students enrolled in specific programming courses at University of Rijeka.