{"id":2172,"date":"2017-11-30T00:48:18","date_gmt":"2017-11-30T00:48:18","guid":{"rendered":"http:\/\/www.revista-educacion-matematica.org.mx\/revista\/?p=2172"},"modified":"2017-11-30T00:48:45","modified_gmt":"2017-11-30T00:48:45","slug":"to-what-kind-of-mathematical-problems-are-calculus-students-exposed-a-textbook-analysis","status":"publish","type":"post","link":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2017\/11\/30\/to-what-kind-of-mathematical-problems-are-calculus-students-exposed-a-textbook-analysis\/","title":{"rendered":"To what Kind of Mathematical Problems are Calculus Students Exposed? A Textbook Analysis"},"content":{"rendered":"<p>Adriana Berenice Valencia \u00c1lvarez<br \/>\nJaime Ricardo Valenzuela Gonz\u00e1lez<\/p>\n<p><strong>Abstract<\/strong>. Given the importance of solving mathematical problems placed in<br \/>\nreal contexts and given the influence of the textbook in the teaching and<br \/>\nlearning of mathematics, it is important to study to what kind of mathematical<br \/>\nproblems students are exposed. In this article, we present a distinction between<br \/>\nconventional mathematical problems and mathematical modeling problems in<br \/>\nterms of nine aspects related to the problem statement and its solution (Green<br \/>\nand Emerson, 2010). Using these nine criteria, we analyzed and classified a<br \/>\ntotal of 188 examples and 1,114 exercises found in the unit about functions in<br \/>\na sample of Calculus textbooks from Mexican and American publishing companies.<br \/>\nAs a result, the analysis showed that between 65% and 87% of the<br \/>\nexamples and exercises in the books studied were classified as completely<br \/>\nconventional problems. Modeling problems were found in only three of the<br \/>\nbooks analyzed and these correspond to merely 1% or 2% of the examples and<br \/>\nexercises of the unit.<\/p>\n<p><strong>Keywords:<\/strong> Analysis of textbooks, mathematical modeling problems, conventional<br \/>\nproblems, solving problems, Calculus.<\/p>\n<p><a href=\"http:\/\/www.revista-educacion-matematica.org.mx\/descargas\/02REM29-3.pdf\"><img loading=\"lazy\" class=\"size-full wp-image-279 alignright\" src=\"http:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-content\/uploads\/2016\/05\/download.png\" alt=\"\" width=\"200\" height=\"71\" srcset=\"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-content\/uploads\/2016\/05\/download.png 200w, https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-content\/uploads\/2016\/05\/download-150x53.png 150w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/><\/a><strong>DOI: 10.24844\/EM2903.02<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Adriana Berenice Valencia \u00c1lvarez Jaime Ricardo Valenzuela Gonz\u00e1lez Abstract. Given the importance of solving mathematical problems placed in real contexts and given the influence of the textbook in the teaching and learning of mathematics, it is important to study to what kind of mathematical problems students are exposed. In this\u2026 <a class=\"continue-reading-link\" href=\"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2017\/11\/30\/to-what-kind-of-mathematical-problems-are-calculus-students-exposed-a-textbook-analysis\/\">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":[569],"tags":[],"_links":{"self":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/2172"}],"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=2172"}],"version-history":[{"count":1,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/2172\/revisions"}],"predecessor-version":[{"id":2173,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/2172\/revisions\/2173"}],"wp:attachment":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/media?parent=2172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/categories?post=2172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/tags?post=2172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}