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The main aim of the study is analyzing of pupils' knowledge in mathematics by adaptive neuro fuzzy inference system (ANFIS) after implementation of distance learning application or e-learning (electronic learning). Since a large number of faculties and other institutions are increasingly using e-learning, it can be stated that for this purpose the Modular object-oriented dynamic learning environment (Moodle) learning management system (LMS) is mostly used. This paper deals with the analysis of distance learning and the application of Moodle LMS in higher education institutions, taking into account the impact of such education on the quality of teaching and the acquisition of knowledge by students, and the methods teachers use in Serbia. The ANFIS is used to determine which factors are the most important for pupils' performance in mathematics. The results show that the main influence on the pupils' performance is their prior knowledge. The prior knowledge is more effective when it is combined with education software in the lectures of mathematics in elementary school. In secondary school, the prior knowledge is more effective if it is combined with motivation for learning mathematics. [ABSTRACT FROM AUTHOR]