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EN
The subject matter and the priorities of the conference reflect the conceptual principles underlying the modernisation of education and the reform of the educational systems in European countries, as well as national development strategies for the 21st century. One of the European Union’s key educational objectives is the provision of equal opportunities for all with respect to an access to learning and knowledge, regardless of gender, financial and physical ability, and place of residence. Consequently, distance learning has now been granted a status of high priority. If introduced on a wide scale, distance learning and teaching may make a significant contribution towards the achievement of educational goals in member states.
EN
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.
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