The general purpose of this study was to form methods of teaching school students to solve systems of equations and inequalities in the conditions of digitalisation of education. The quantitative research method was used in the research; the research was carried out in the spring term of 2021–2022. The research was carried out with the participation of 278 volunteer students who continue their education in various schools in Kazakhstan. Equation and inequality systems solution training was given to the participant group in the form of a 4-week online training. In the study, the ‘digital education and mathematics’ data collection tool developed by the researchers and compiled by experts in the field was used. The measurement tool was delivered to the participant groups via an online method and collected. The analysis of the data was made by using the Statistical Package for the Social Sciences programme, frequency analysis, t-test and analysis of variance test, and the results were added to the research in the form of tables. According to the results obtained from the research, it was concluded that the equation and inequality solving and application dimensions of the participant groups were strengthened and used with digitalised education.   Keywords: Education, digital, distance education, equation, inequality systems;

The impact of human economic activities on individual natural components or whole geosystems has caused a global environmental crisis and continues to change the surface of the planet beyond recognition. New biospheric thinking is required to overcome the existing threats. For that purpose, the new generation shall possess high ecological culture. The article aimed to examine the problem of formation and development of environmental competence of students based on project technology. The conducted research allowed students to independently identify environmental problems with the help of project technology. Practical development in the form of project tasks contributes to the formation of environmental competence in future biology teachers. The effectiveness of the proposed training technology is confirmed by the results of experimental work.   Keywords: environmental awareness; environmental competence; environmental education; didactic conditions; project tasks.