Kolomiets O. Differentiated student's education of analytical geometry at the teacher's training universities

Object - the process of education in analytical geometry of the teacher's training universities students. Subject - the technical approach of the differentiated education in analytical geometry of the teacher's training university students. Aim - development, theoretical justification and experimental checking the technical approach of the differentiated education in analytical geometry of the teacher's training university students. Methods - theoretical (study, generalization, systematization of the research, educational and psychology literature concerning the investigation topic, analysis and comparison of the training programs, contents and structures of the analytical geometry manuals and textbooks, analysis of the teachers pedagogical experience), empirical (diagnostic (questionnaire design, testing, quiz, discussion, pedagogical supervision, student tests analysis), forecasting, pedagogical experiment (forecasting, reconnaissance, forming); experimental data quantitative and qualitative analysis); novelty - for the first time the technical approach of the differentiated student education in analytical geometry was developed and introduced; it has been found theoretically and experimentally that quality of the residual student analytical geometry knowledge are directly concerned with the level of systems knowledge; the levels of the system student analytical geometry knowledge were determined; the classification principles of the analytical geometry knowledge according to the semeiotic conception was developed, the educational and psychology fundamentals and methodical requirements concerning its forming was revealed; the technical approach of the education in analytical geometry of the teacher's training university students was improved; the theory of the differentiated education in analytical geometry was evolved; results - the methodical complex which includes the diagnostic aids and aids of the differentiated education in analytical geometry, was developed and approved; training appliances basedon the differentiated approach; pedagogical software tool of the education and control; the methodical recommendation system; application of the achievements to educational processes. Branch - vocational training.