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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">koz</journal-id><journal-title-group><journal-title xml:lang="ru">"Вестник Северо-Казахстанского университета имени Манаша Козыбаева"</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Manash Kozybayev North Kazakhstan University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2958-003X</issn><issn pub-type="epub">2958-0048</issn><publisher><publisher-name>М. Қозыбаев атындағы СҚУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.54596/2309-6977-2021-2-46-50</article-id><article-id custom-type="elpub" pub-id-type="custom">koz-489</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ПЕДАГОГИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PEDAGOGICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>РЕШЕНИЕ УРАВНЕНИЙ В ЦЕЛЫХ ЧИСЛАХ И ЕГО МЕТОДЫ</article-title><trans-title-group xml:lang="en"><trans-title>SOLVING EQUATIONS IN THE SET OF INTEGERS AND ITS METHODOLOGY</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тайболдина</surname><given-names>Қ. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Taiboldina</surname><given-names>R. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Семей</p></bio><bio xml:lang="en"><p>Semey</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Жуманбекова</surname><given-names>Д. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhumanbekova</surname><given-names>D. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Семей</p></bio><bio xml:lang="en"><p>Semey</p></bio><email xlink:type="simple">zhumanbekovad@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">НАО «Университет имени Шакарима города Семей»<country>Казахстан</country></aff><aff xml:lang="en">NLS «Shakarim University Semey»<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>29</day><month>12</month><year>2021</year></pub-date><volume>0</volume><issue>2 (51)</issue><fpage>46</fpage><lpage>50</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Тайболдина Қ.Р., Жуманбекова Д.М., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Тайболдина Қ.Р., Жуманбекова Д.М.</copyright-holder><copyright-holder xml:lang="en">Taiboldina R.K., Zhumanbekova D.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestnik.ku.edu.kz/jour/article/view/489">https://vestnik.ku.edu.kz/jour/article/view/489</self-uri><abstract><p>В этой статье мы рассмотрим способы решения уравнений в целых чисел, которые распространены на математической олимпиаде. Решая уравнения в целых чисел, мы можем сформировать у ученика такие качества, как развитие мысли. При формировании навыков решения уравнений в множестве целых чисел внимание уделяется методам решения задач.</p><p>Большинство школьников испытывают трудности с решением уравнений в целых чисел. Это потому, что они не так сильно обучены решать уравнения такими способами. Поэтому в основной части работы мы раскрыли общую теорию, методы решения таких уравнений.</p></abstract><trans-abstract xml:lang="en"><p>In this article we will look at ways to solve equations in the set of integers that are common in the Mathematical Olympiad. By solving equations in the set of integers, we can form in the student such qualities as self-search, the development of the field of thought. In the formation of skills for solving equations in the set of integers, attention is paid to the methods of solving problems.</p><p>The majority of schoolchildren have difficulty solving equations in the set of integers. This is because they are not very trained to solve equations in these ways. Therefore, in the main part of the work we have revealed the general theory, methods of solving such equations.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математические олимпиады</kwd><kwd>уравнений</kwd><kwd>математика</kwd><kwd>целые числа</kwd><kwd>методы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical olympiads</kwd><kwd>equation</kwd><kwd>mathematical</kwd><kwd>whole numbers</kwd><kwd>methods</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Фарков, А.В. Готовимся к олимпиадам по математике: Учеб.-метод.пособие. – М., Издательство «Экзамен», 2006.</mixed-citation><mixed-citation xml:lang="en">Farkov, А.V. Gotovimsya k olimpiadam po matematike: Ucheb. -metod.posobie. – M., Izdatel'stvo «EHkzamen», 2006.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Шыныбеков Ә.Н. Алгебра: Жалпы білім беретін мектептің 8-сыныбына арналған оқулық. Алматы: Атамұра, 2004</mixed-citation><mixed-citation xml:lang="en">Shynybekov Ә.N. Аlgebra: ZHalpy bіlіm beretіn mekteptің 8 -synybyna arnalғan oқulyқ. – Аlmaty: Аtamұra, 2004</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Гельфонд А.О. Популярные лекций по математике.- Решение уравнений в целых числах. – М.: Наука, 1983.</mixed-citation><mixed-citation xml:lang="en">Gel'fond А.O. Populyarnye lektsij po matematike. - Reshenie uravnenij v tselykh chislakh. – M.: Nauka, 1983.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Моралишвили Т.Д. Современные поблемы методики преподавания математики. – М.: Просвещение, 1985.</mixed-citation><mixed-citation xml:lang="en">Moralishvili T.D. Sovremennye poblemy metodiki prepodavaniya matematiki. – M.: Prosveshhenie, 1985.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
