{"id":697,"date":"2016-05-16T15:23:15","date_gmt":"2016-05-16T15:23:15","guid":{"rendered":"http:\/\/www.revista-educacion-matematica.com\/revista\/?p=697"},"modified":"2016-05-16T17:42:39","modified_gmt":"2016-05-16T17:42:39","slug":"vol25-1-5-en","status":"publish","type":"post","link":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2016\/05\/16\/vol25-1-5-en\/","title":{"rendered":"The role of the field in the construction of the concept of Vector Space"},"content":{"rendered":"<p><span style=\"color: #e95d00;\">Marcela Parraguez Gonz\u00e1lez<\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Abstract: <\/strong> The research reported here uses the APOE theory as theoretical and methodological framework, in order to explain the role of the field in the construction of the vector space concept. The three components proposed by the research cycle \u2013genetic decomposition, design and application of instruments and data analysis and verification\u2013 determine the overall structure of the study. The results obtained indicate that the role of the field in the construction of vector space concept is linked with the existence of linearly independent vectors, through the linear combination of vectors.<\/p>\n<p>Key words: APOS Theory, Vector Space, Field<\/p>\n<p><a href=\"http:\/\/www.revista-educacion-matematica.com\/pdf\/documentos\/REM\/REM25-1\/Vol25-1-5.pdf\"><img loading=\"lazy\" class=\"alignright wp-image-81\" src=\"http:\/\/www.revista-educacion-matematica.com\/revista\/wp-content\/uploads\/2016\/05\/download.png\" alt=\"descarga2\" width=\"150\" height=\"53\" \/> <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Marcela Parraguez Gonz\u00e1lez Abstract: The research reported here uses the APOE theory as theoretical and methodological framework, in order to explain the role of the field in the construction of the vector space concept. The three components proposed by the research cycle \u2013genetic decomposition, design and application of instruments and\u2026 <a class=\"continue-reading-link\" href=\"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2016\/05\/16\/vol25-1-5-en\/\">Continue reading<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[219],"tags":[101,387,386],"_links":{"self":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/697"}],"collection":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/comments?post=697"}],"version-history":[{"count":5,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/697\/revisions"}],"predecessor-version":[{"id":745,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/697\/revisions\/745"}],"wp:attachment":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/media?parent=697"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/categories?post=697"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/tags?post=697"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}