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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">infojournal</journal-id><journal-title-group><journal-title xml:lang="ru">Информатика и образование</journal-title><trans-title-group xml:lang="en"><trans-title>Informatics and education</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0234-0453</issn><issn pub-type="epub">2658-7769</issn><publisher><publisher-name>Publishing House Education and Informatics</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">infojournal-317</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>ЗАРУБЕЖНЫЙ ОПЫТ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>FOREIGN EXPERIENCE</subject></subj-group></article-categories><title-group><article-title>О РАЗВИТИИ ВЗГЛЯДОВ НА РОЛЬ ТЕХНОЛОГИЙ В  МАТЕМАТИЧЕСКОМ ОБРАЗОВАНИИ: ОТ  МАШИНЫ-УЧИТЕЛЯ К  ТЕОРИЯМ ИНТЕГРАЦИИ ФОРМАЛЬНЫХ РАССУЖДЕНИЙ И  КОМПЬЮТЕРНЫХ ВЫЧИСЛЕНИЙ</article-title><trans-title-group xml:lang="en"><trans-title>FROM THE TEACHING MACHINE MOVEMENT TO INSTRUMENTAL PERSPECTIVE ON TECHNOLOGY-IMMUNE/TECHNOLOGY-ENABLED MATHEMATICS CURRICULUM</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>Абрамович</surname><given-names>С. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Abramovich</surname><given-names>S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>профессор,</p><p>44 Pierrepont Avenue, Potsdam, NY 13676</p></bio><bio xml:lang="en"><p>professor,</p><p>44 Pierrepont Avenue, Potsdam, NY 13676</p></bio><email xlink:type="simple">abramovs@potsdam.edu</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Университет штата Нью-Йорк в  Потсдаме, США<country>Соединённые Штаты Америки</country></aff><aff xml:lang="en">School of Education and Professional Studies, State University of New York<country>United States</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>08</day><month>10</month><year>2018</year></pub-date><volume>0</volume><issue>6</issue><fpage>58</fpage><lpage>64</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Абрамович С.М., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Абрамович С.М.</copyright-holder><copyright-holder xml:lang="en">Abramovich S.</copyright-holder><license 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://info.infojournal.ru/jour/article/view/317">https://info.infojournal.ru/jour/article/view/317</self-uri><abstract><p>Статья представляет ряд педагогических идей по использованию компьютера в подготовке учителей математики. Высказывается мысль, что вычислительные возможности современных компьютерных технологий могут отрицательно влиять на математическое развитие школьника. В качестве защиты от такого влияния предлагается методика интеграции формальных рассуждений и технологической поддержки для всех уровней школьного образования. Приводятся примеры соответствующего использования спредшитов, Wolfram Alpha и KidPix.</p></abstract><trans-abstract xml:lang="en"><p>The article shares pedagogical ideas about using technology in mathematics teacher education. A point is made that computational power of digital tools may contribute to diminishing cognitive engagement of students in problem solving. In order to avoid such negative impact of technology on one’s mathematical development, a new type of mathematics curriculum which integrates the traditional argument and the modern-day computations has been suggested. Examples of technology uses cover all levels of precollege mathematics and include spreadsheets, Wolfram Alpha, and KidPix.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математика</kwd><kwd>постановка задач</kwd><kwd>подготовка учителей</kwd><kwd>компьютерные технологии</kwd><kwd>спредшиты</kwd><kwd>Wolfram Alpha</kwd><kwd>KidPix</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematics</kwd><kwd>problem posing</kwd><kwd>teacher education</kwd><kwd>technology</kwd><kwd>spreadsheets</kwd><kwd>Wolfram Alpha</kwd><kwd>KidPix</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">Conference Board of the Mathematical Sciences. The mathematical education of teachers II. Washington, DC: The Mathematical Association of America, 2012.</mixed-citation><mixed-citation xml:lang="en">Conference Board of the Mathematical Sciences. The mathematical education of teachers II. 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