The promotion work describes e-learning systems research results and analysis as well as shows the main principles of its design and development considering student model and adaptive e-learning methods. The main topics of the work are as follows: research of e-learning systems and adaptive e-learning methods; definition of the set of the models for ensuring adaptive dialog between student and e-learning system taking into account the analysis results of learning process; development of a teaching material model regarding learning objects re-usable features; construction of an expert model for programming engineer; formation of a student model that allows to ensure different levels of adaptation; research of adaptivity and adaptability problems; development of an adaptive e-learning algorithm; creating an adaptive e-learning course and evaluation of its using efficiency. The promotion work consists of five chapters and conclusions. The first chapter (Introduction) describes the topic actuality as well formulates the goal and tasks of the work. The second chapter outlines the research results of e-learning process, gives the classification of the existing e-learning systems after several criteria and reviews the e-learning model. The third chapter includes the study results of the e-learning systems models: shown the interconnection of the models, examined the representation forms of the teaching material model, made learning objects models, constructed expert model for programming engineer, given student models classification and description, as well as developed the student model for adaptive e-learning. The fourth chapter is dedicated to the investigations of the adaptive e-course learning methods, outlines the main e-course learning principles, reviews the problems of adaptivity and adaptability ensuring, describes the adaptive e-course learning algorithm that considers student model. The fifth chapter shows the development of adaptive e-learning courses and their using in teaching process, as well evaluates e-courses using with two mathematical statistics methods and reviewing students opinions. The work includes 197 pages, 43 figures, 33 table and 182 references.