Abstract

This research describes how high school students can develop the skills to justify their decisions by completing research tasks. According to the results of the international PISA exam for several years, 15-year-old schoolchildren in Kazakhstan have low skills in analysis, synthesis and assessment according to Bloom's taxonomy. Based on this, ways were sought to develop the high skills of students of Nazarbayev Intellectual School in Aktobe. The study was carried out for one year. One of the reasons for choosing this topic is that it allows students to apply the principle of analysis in advanced mathematics classes by conducting research, deepening their knowledge and establishing interdisciplinary connections with physics. The purpose of the study is to develop the communication skills of students, teach them to solve text problems in mathematics, use knowledge in real life effectively. Methods used in the study are collection of quantitative data through questionnaires, collection of qualitative data from students' communication through observation of the lesson. First of all, the results of the international PISA study and the results of CITO monitoring were studied. At the same time, according to the results of the CITO monitoring the skills of knowledge, understanding and application showed 100% each, a comparative analysis showed 82%, synthesis skills 67%, skills assessment 48%. The survey was conducted on the Microsoft Forms platform. A total of 62 students took part. CLIL technologies, Problem-Based Learning, and the LearningApps platform were used. The results of the study were presented at the school pedagogical council.

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