Democratic development of Lithuanian society is calling for changes in Lithuanian schools. The existence of alternative didactic systems is one of guarantees for democratic education. Three freely chosen alternative didactic systems of teaching mathematics are currently in use in Lithuanian primary schools. The study analyses the systems of teaching mathematics by school teachers of different age, experience, professional qualification, working in Lithuanian schools of different types, studies the dominant criteria of choice and problems of material and subjective character that teachers come across with when applying different didactic systems
