Objectives and Content of the Mathematics E-learning Course Preparing Students for the School-leaving Exam in Mathematics

Information and communication technologies (ICT) can help solve the problems connected with forming mathematical competencies in students and are used in the process of teaching mathematics. The first part of the paper presents the theoretical background of the subject matter, including: the description of mathematical competencies and their identification at secondary school in Poland, Niemierko’s taxonomy, the programmed learning theory, and the structure of the system of education/learning in the e-learning environment. It expresses the preconditions, expected results, concepts, objectives, hypotheses, and research methods. The practical part describes the structure of “Mathematics with Moodle,” a system for individual learning based on the original authorial MatLearn module, and its graphic representation. A didactic tool is proposed – an e-learning course preparing students for the school-leaving exam in mathematics and improving students’ mathematical competencies. Its aim is to increase the level of competencies, especially those which have not been mastered yet. In order to construct study activities in the course, the programmed learning principles and Niemierko’s taxonomy were used.