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      <issn pub-type="epub">2311-2174</issn>
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      <article-id pub-id-type="publisher-id">402</article-id>
      <article-id pub-id-type="doi">10.25726/m5755-0687-4899-o</article-id>
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        <article-title xml:lang="ru">&#x41F;&#x440;&#x438;&#x43C;&#x435;&#x43D;&#x435;&#x43D;&#x438;&#x435; &#x43C;&#x435;&#x442;&#x43E;&#x434;&#x438;&#x43A; &#x43C;&#x430;&#x442;&#x435;&#x43C;&#x430;&#x442;&#x438;&#x447;&#x435;&#x441;&#x43A;&#x43E;&#x433;&#x43E; &#x43E;&#x43F;&#x440;&#x435;&#x434;&#x435;&#x43B;&#x435;&#x43D;&#x438;&#x44F; &#x442;&#x435;&#x445;&#x43D;&#x43E;&#x43B;&#x43E;&#x433;&#x438;&#x437;&#x430;&#x446;&#x438;&#x438; &#x43E;&#x431;&#x443;&#x447;&#x435;&#x43D;&#x438;&#x44F;</article-title>
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          <trans-title>Application of methods of mathematical definition of technologization of training</trans-title>
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              <given-names>Ahmed M.</given-names>
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        <day>15</day>
        <month>06</month>
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&#x438;&#x43D;&#x434;&#x438;&#x432;&#x438;&#x434;&#x443;&#x430;&#x43B;&#x44C;&#x43D;&#x44B;&#x445; &#x43F;&#x43E;&#x442;&#x440;&#x435;&#x431;&#x43D;&#x43E;&#x441;&#x442;&#x435;&#x439; &#x441;&#x43F;&#x435;&#x446;&#x438;&#x430;&#x43B;&#x438;&#x441;&#x442;&#x430; &#x432; &#x43B;&#x438;&#x447;&#x43D;&#x43E;&#x43C; &#x43F;&#x440;&#x43E;&#x444;&#x435;&#x441;&#x441;&#x438;&#x43E;&#x43D;&#x430;&#x43B;&#x44C;&#x43D;&#x43E;&#x43C; &#x440;&#x43E;&#x441;&#x442;&#x435;, &#x43F;&#x43E;&#x432;&#x44B;&#x448;&#x435;&#x43D;&#x438;&#x435; &#x435;&#x433;&#x43E; &#x43A;&#x43E;&#x43D;&#x43A;&#x443;&#x440;&#x435;&#x43D;&#x442;&#x43E;&#x441;&#x43F;&#x43E;&#x441;&#x43E;&#x431;&#x43D;&#x43E;&#x441;&#x442;&#x438; &#x432; &#x441;&#x43E;&#x43E;&#x442;&#x432;&#x435;&#x442;&#x441;&#x442;&#x432;&#x438;&#x438; &#x441; &#x43E;&#x431;&#x449;&#x435;&#x441;&#x442;&#x432;&#x435;&#x43D;&#x43D;&#x44B;&#x43C;&#x438; &#x43F;&#x43E;&#x442;&#x440;&#x435;&#x431;&#x43D;&#x43E;&#x441;&#x442;&#x44F;&#x43C;&#x438;, &#x430; &#x442;&#x430;&#x43A;&#x436;&#x435; &#x43E;&#x431;&#x435;&#x441;&#x43F;&#x435;&#x447;&#x435;&#x43D;&#x438;&#x435; &#x437;&#x430;&#x438;&#x43D;&#x442;&#x435;&#x440;&#x435;&#x441;&#x43E;&#x432;&#x430;&#x43D;&#x43D;&#x43E;&#x441;&#x442;&#x438; &#x433;&#x43E;&#x441;&#x443;&#x434;&#x430;&#x440;&#x441;&#x442;&#x432;&#x430; &#x432; &#x43A;&#x432;&#x430;&#x43B;&#x438;&#x444;&#x438;&#x446;&#x438;&#x440;&#x43E;&#x432;&#x430;&#x43D;&#x43D;&#x44B;&#x445; &#x43A;&#x430;&#x434;&#x440;&#x430;&#x445; &#x432;&#x44B;&#x441;&#x43E;&#x43A;&#x43E;&#x433;&#x43E; &#x443;&#x440;&#x43E;&#x432;&#x43D;&#x44F; &#x43F;&#x440;&#x43E;&#x444;&#x435;&#x441;&#x441;&#x438;&#x43E;&#x43D;&#x430;&#x43B;&#x438;&#x437;&#x43C;&#x430; &#x438; &#x43A;&#x443;&#x43B;&#x44C;&#x442;&#x443;&#x440;&#x44B;, &#x441;&#x43F;&#x43E;&#x441;&#x43E;&#x431;&#x43D;&#x43E;&#x441;&#x442;&#x438; &#x43A;&#x43E;&#x43C;&#x43F;&#x435;&#x442;&#x435;&#x43D;&#x442;&#x43D;&#x43E; &#x438; &#x43E;&#x442;&#x432;&#x435;&#x442;&#x441;&#x442;&#x432;&#x435;&#x43D;&#x43D;&#x43E; &#x432;&#x44B;&#x43F;&#x43E;&#x43B;&#x43D;&#x44F;&#x442;&#x44C; &#x43F;&#x440;&#x43E;&#x444;&#x435;&#x441;&#x441;&#x438;&#x43E;&#x43D;&#x430;&#x43B;&#x44C;&#x43D;&#x44B;&#x435; &#x444;&#x443;&#x43D;&#x43A;&#x446;&#x438;&#x438;, &#x441;&#x43F;&#x43E;&#x441;&#x43E;&#x431;&#x441;&#x442;&#x432;&#x43E;&#x432;&#x430;&#x442;&#x44C; &#x443;&#x441;&#x43F;&#x435;&#x448;&#x43D;&#x43E;&#x43C;&#x443; &#x441;&#x43E;&#x446;&#x438;&#x430;&#x43B;&#x44C;&#x43D;&#x43E;-&#x44D;&#x43A;&#x43E;&#x43D;&#x43E;&#x43C;&#x438;&#x447;&#x435;&#x441;&#x43A;&#x43E;&#x43C;&#x443; &#x43F;&#x440;&#x43E;&#x433;&#x440;&#x435;&#x441;&#x441;&#x443; &#x43E;&#x431;&#x449;&#x435;&#x441;&#x442;&#x432;&#x430;. &#x41E;&#x441;&#x43D;&#x43E;&#x432;&#x43D;&#x43E;&#x439; &#x437;&#x430;&#x434;&#x430;&#x447;&#x435;&#x439; &#x43D;&#x435;&#x43F;&#x440;&#x435;&#x440;&#x44B;&#x432;&#x43D;&#x43E;&#x433;&#x43E; &#x43E;&#x431;&#x440;&#x430;&#x437;&#x43E;&#x432;&#x430;&#x43D;&#x438;&#x44F; &#x44F;&#x432;&#x43B;&#x44F;&#x435;&#x442;&#x441;&#x44F; &#x443;&#x433;&#x43B;&#x443;&#x431;&#x43B;&#x435;&#x43D;&#x438;&#x435; &#x43A;&#x43E;&#x43C;&#x43F;&#x435;&#x442;&#x435;&#x43D;&#x442;&#x43D;&#x43E;&#x441;&#x442;&#x435;&#x439; &#x441;&#x43F;&#x435;&#x446;&#x438;&#x430;&#x43B;&#x438;&#x441;&#x442;&#x43E;&#x432; &#x432; &#x441;&#x43E;&#x43E;&#x442;&#x432;&#x435;&#x442;&#x441;&#x442;&#x432;&#x438;&#x438; &#x441; &#x434;&#x43E;&#x441;&#x442;&#x438;&#x436;&#x435;&#x43D;&#x438;&#x44F;&#x43C;&#x438; &#x441;&#x43E;&#x432;&#x440;&#x435;&#x43C;&#x435;&#x43D;&#x43D;&#x43E;&#x439; &#x43D;&#x430;&#x443;&#x43A;&#x438; &#x438; &#x442;&#x440;&#x435;&#x431;&#x43E;&#x432;&#x430;&#x43D;&#x438;&#x44F;&#x43C;&#x438; &#x440;&#x44B;&#x43D;&#x43A;&#x430; &#x442;&#x440;&#x443;&#x434;&#x430;. &#x421;&#x43E;&#x432;&#x435;&#x440;&#x448;&#x435;&#x43D;&#x441;&#x442;&#x432;&#x43E;&#x432;&#x430;&#x43D;&#x438;&#x435; &#x43F;&#x440;&#x43E;&#x444;&#x435;&#x441;&#x441;&#x438;&#x43E;&#x43D;&#x430;&#x43B;&#x44C;&#x43D;&#x43E;&#x439; &#x43A;&#x43E;&#x43C;&#x43F;&#x435;&#x442;&#x435;&#x43D;&#x442;&#x43D;&#x43E;&#x441;&#x442;&#x438; &#x43F;&#x435;&#x434;&#x430;&#x433;&#x43E;&#x433;&#x430; &#x437;&#x430;&#x43A;&#x43B;&#x44E;&#x447;&#x430;&#x435;&#x442;&#x441;&#x44F; &#x432; &#x442;&#x43E;&#x43C;, &#x447;&#x442;&#x43E; &#x43F;&#x440;&#x43E;&#x444;&#x435;&#x441;&#x441;&#x438;&#x43E;&#x43D;&#x430;&#x43B;&#x44C;&#x43D;&#x44B;&#x435; &#x437;&#x43D;&#x430;&#x43D;&#x438;&#x44F; &#x434;&#x43E;&#x43B;&#x436;&#x43D;&#x44B; &#x444;&#x43E;&#x440;&#x43C;&#x438;&#x440;&#x43E;&#x432;&#x430;&#x442;&#x44C;&#x441;&#x44F; &#x43E;&#x434;&#x43D;&#x43E;&#x432;&#x440;&#x435;&#x43C;&#x435;&#x43D;&#x43D;&#x43E; &#x43D;&#x430; &#x432;&#x441;&#x435;&#x445; &#x443;&#x440;&#x43E;&#x432;&#x43D;&#x44F;&#x445; &#x2013; &#x43C;&#x435;&#x442;&#x43E;&#x434;&#x43E;&#x43B;&#x43E;&#x433;&#x438;&#x447;&#x435;&#x441;&#x43A;&#x43E;&#x43C;, &#x442;&#x435;&#x43E;&#x440;&#x435;&#x442;&#x438;&#x447;&#x435;&#x441;&#x43A;&#x43E;&#x43C;, &#x442;&#x435;&#x445;&#x43D;&#x43E;&#x43B;&#x43E;&#x433;&#x438;&#x447;&#x435;&#x441;&#x43A;&#x43E;&#x43C;, &#x43F;&#x440;&#x430;&#x43A;&#x442;&#x438;&#x447;&#x435;&#x441;&#x43A;&#x43E;&#x43C;, &#x43B;&#x438;&#x447;&#x43D;&#x43E;&#x441;&#x442;&#x43D;&#x43E;&#x43C;. &#x42D;&#x442;&#x43E; 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&#x442;&#x435;&#x445;&#x43D;&#x43E;&#x43B;&#x43E;&#x433;&#x438;&#x44E; &#x438;&#x445; &#x43F;&#x440;&#x438;&#x43C;&#x435;&#x43D;&#x435;&#x43D;&#x438;&#x44F;.</p>
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        <p>In the conditions of changing development vectors to integration, globalization, informatization, the main goal of the postgraduate education system is to meet the individual needs of a specialist in personal professional growth, increase his competitiveness in accordance with public needs, as well as ensuring the state's interest in qualified personnel of a high level of professionalism and culture, the ability to competently and responsibly perform professional functions, contribute to successful social- economic progress of society. The main task of continuing education is to deepen the competencies of specialists in accordance with the achievements of modern science and the requirements of the labor market. The improvement of a teacher's professional competence lies in the fact that professional knowledge should be formed simultaneously at all levels &#x2013; methodological, theoretical, technological, practical, personal. This requires professional thinking, the ability to select, analyze, synthesize the acquired knowledge in achieving the pedagogical goal, to holistically represent the technology of their application.</p>
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