<?xml version="1.0" encoding="ISO-8859-1"?><article 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">
<front>
<journal-meta>
<journal-id>2526-7647</journal-id>
<journal-title><![CDATA[Obutchénie. Revista de Didática e Psicologia Pedagógica]]></journal-title>
<abbrev-journal-title><![CDATA[Obutchénie: R. de Didat. e Psic. Pedag.]]></abbrev-journal-title>
<issn>2526-7647</issn>
<publisher>
<publisher-name><![CDATA[Universidade Federal de Uberlândia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2526-76472024000100302</article-id>
<article-id pub-id-type="doi">10.14393/obv8.e2024-33</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[O Movimento Histórico das Contribuições da Teoria da Extensão de Grassmann para a Álgebra Linear]]></article-title>
<article-title xml:lang="es"><![CDATA[El Movimiento Histórico de las Aportaciones de la Teoría de Extensión de Grassmann al Álgebra Lineal]]></article-title>
<article-title xml:lang="en"><![CDATA[The Historical Movement of the Contributions of Grassmann's Extension Theory to Linear Algebra]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Borges]]></surname>
<given-names><![CDATA[Julia Santana Garcia]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Assis]]></surname>
<given-names><![CDATA[Aline Mota de Mesquita]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lima]]></surname>
<given-names><![CDATA[Márcio Dias de]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Federal de Goiás  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Federal de Goiás  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Instituto Federal de Goiás  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<volume>8</volume>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S2526-76472024000100302&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S2526-76472024000100302&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S2526-76472024000100302&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMO Hermann Grassmann foi um alemão do século XIX que estabeleceu os marcos iniciais para o surgimento da Álgebra Linear, um campo da Matemática que oferece recursos básicos para o desenvolvimento de várias subáreas da Matemática e de outras áreas do conhecimento, como Engenharias e Física, por exemplo. Assim, este artigo visa apresentar uma biografia deste autor, destacando duas de suas obras que registram seus feitos para este campo. Constitui-se de uma pesquisa bibliográfica com análise qualitativa dos dados pautada nos fundamentos do movimento lógico-histórico do objeto, possibilitando uma análise histórica, cultural e social, visando responder à seguinte questão-problema: quais foram as contribuições de Grassmann para o desenvolvimento da Álgebra Linear que o levou a ser considerado o criador desse campo de estudos? Conclui-se que Grassmann lançou as primeiras ideias sobre muitos conceitos que hoje constituem a Álgebra Linear, como espaços vetoriais &#119899;- dimensionais, transformação linear e outros, sendo, então, considerado por muitos, o criador da Álgebra Linear.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Hermann Grassmann fue un alemán del siglo XIX que estableció los hitos iniciales para el surgimiento del Álgebra Lineal, un área de las Matemáticas que ofrece recursos básicos para el desarrollo de diversas subáreas de las Matemáticas y de otros ámbitos del conocimiento, como la Ingeniería y la Física, por ejemplo. Por ello, este artículo tiene por objeto presentar una biografía de este autor, destacando dos de sus obras que recogen sus logros en esta área. Consiste en una investigación bibliográfica con análisis cualitativo de datos basado en los fundamentos del movimiento lógico-histórico del objeto, posibilitando un análisis histórico, cultural y social, con el objetivo de responder a la siguiente pregunta problema: ¿cuáles fueron las contribuciones de Grassmann al desarrollo del Álgebra Lineal que lo llevaron a ser considerado el creador de este campo de estudio? La conclusión es que Grassmann lanzó las primeras ideas sobre muchos de los conceptos que hoy componen el Álgebra Lineal, como los espacios vectoriales &#119899;-dimensionales, la transformación lineal y otros, por lo que muchos lo consideran el creador del Álgebra Lineal.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT Hermann Grassmann, a 19th-century German scholar, pioneered the foundations of Linear Algebra, a mathematical discipline crucial for diverse fields like Mathematics, Engineering, and Physics. This article endeavours to present a comprehensive biography of Grassmann, emphasizing two works documenting his contributions to this domain. Employing bibliographic research coupled with qualitative data analysis grounded in the logical-historical movement of the object, the study enables a historical, cultural, and social examination. Addressing the central question &#8212; what were Grassmann's contributions to the evolution of Linear Algebra, positioning him as its creator? &#8212; the inquiry concludes that Grassmann introduced notions integral to contemporary Linear Algebra, including n-dimensional vector spaces and linear transformations. Consequently, he garners recognition from many as the creator of Linear Algebra.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[História da Matemática]]></kwd>
<kwd lng="pt"><![CDATA[Álgebra Linear]]></kwd>
<kwd lng="pt"><![CDATA[Hermann Grassmann]]></kwd>
<kwd lng="pt"><![CDATA[Movimento lógico-histórico]]></kwd>
<kwd lng="es"><![CDATA[Historia de las Matemáticas]]></kwd>
<kwd lng="es"><![CDATA[Álgebra Lineal]]></kwd>
<kwd lng="es"><![CDATA[Hermann Grassmann]]></kwd>
<kwd lng="es"><![CDATA[Movimiento Lógico-Histórico]]></kwd>
<kwd lng="en"><![CDATA[History of Mathematics]]></kwd>
<kwd lng="en"><![CDATA[Linear Algebra]]></kwd>
<kwd lng="en"><![CDATA[Hermann Grassmann]]></kwd>
<kwd lng="en"><![CDATA[Logical- historical Movement]]></kwd>
</kwd-group>
</article-meta>
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