{"id":1085,"date":"2012-06-21T08:50:09","date_gmt":"2012-06-21T12:50:09","guid":{"rendered":"http:\/\/www.devmathrevival.net\/?p=1085"},"modified":"2012-06-21T09:16:14","modified_gmt":"2012-06-21T13:16:14","slug":"reform-models-in-developmental-mathematics","status":"publish","type":"post","link":"https:\/\/www.devmathrevival.net\/?p=1085","title":{"rendered":"Reform Models in Developmental Mathematics"},"content":{"rendered":"<p>For many years, our developmental mathematics programs were based on a remedial image &#8212; filling in the &#8216;swiss cheese&#8217; of student&#8217;s knowledge of school mathematics, with the school mathematics based on an archaic content (circa 1965).\u00a0 Now, for the first time, we have an opportunity to explore a model of developmental mathematics that is based on mathematical needs of students &#8212; designed especially for community colleges.<\/p>\n<p>During the June 6 (2012) webinar, Uri Treisman presented some general concepts to guide our work in reforming our curriculum; my component of the webinar dealt with applying these concepts in our departments.\u00a0 In this post, I want to share two possible structures for reform of developmental mathematics as presented that day.\u00a0 [The recording of the webinar will be available later this summer.]<\/p>\n<p>One approach to reform is to target reform for particular groups of students.\u00a0 You might identify students who need an intro statistics course, or those who need a quantitative reasoning course, and design a prerequisite course just for these students.\u00a0 In this approach, the existing developmental mathematics curriculum is left undisturbed &#8230; at least for now.\u00a0 The resulting curricular model looks something like this:<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/Target-Group-Reform-Image.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1086\" title=\"Target Group Reform Image\" src=\"https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/Target-Group-Reform-Image.jpg?resize=487%2C508&#038;ssl=1\" alt=\"\" width=\"487\" height=\"508\" srcset=\"https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/Target-Group-Reform-Image.jpg?w=487&amp;ssl=1 487w, https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/Target-Group-Reform-Image.jpg?resize=143%2C150&amp;ssl=1 143w, https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/Target-Group-Reform-Image.jpg?resize=287%2C300&amp;ssl=1 287w\" sizes=\"auto, (max-width: 487px) 100vw, 487px\" \/><\/a><\/p>\n<p>This &#8216;targetted&#8217; approach is reflected in the Statway and Quantway work, for example.\u00a0 However, this is not the only &#8230; nor necessarily best &#8230; approach.\u00a0 Since our content is heavily influenced by archaic high school content, the mathematical needs of students &#8212; especially in reasoning and transfer of learning &#8212; would be better served by a total reform.<\/p>\n<p>A reform for all students (total reform) has a goal of replacing existing courses.\u00a0 In this model, the beginning algebra course is replaced by mathematical literacy course (which is also part of the target reform model); the intermediate algebra course is replaced by a reform algebra course &#8230; which some students would not have to take to meet their math needs.\u00a0<\/p>\n<p>This reform for all students model creates this visual:<\/p>\n<p>\u00a0<a href=\"https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/All-Students-Reform-Image.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1088\" title=\"All Students Reform Image\" src=\"https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/All-Students-Reform-Image.jpg?resize=484%2C453&#038;ssl=1\" alt=\"\" width=\"484\" height=\"453\" srcset=\"https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/All-Students-Reform-Image.jpg?w=484&amp;ssl=1 484w, https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/All-Students-Reform-Image.jpg?resize=150%2C140&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.devmathrevival.net\/wp-content\/uploads\/All-Students-Reform-Image.jpg?resize=300%2C280&amp;ssl=1 300w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/><\/a><\/p>\n<p>The reform algebra course (&#8220;B&#8221; in this visual) might be the one described as &#8220;Transitions&#8221; in the New Life model; see <a href=\"http:\/\/dm-live.wikispaces.com\/TransitionsCourse\">http:\/\/dm-live.wikispaces.com\/TransitionsCourse<\/a>.\u00a0 Some colleges might consider a combined beginning &amp; intermediate algebra course for course B; this is not a reform course (as the content is the traditional &#8230; and archaic &#8230; material).\u00a0 Another option in this total reform model is to create a faster path in pre-calculus &#8212; blend &#8216;course B&#8217; (reform algebra) and pre-calculus in to a 2 semester sequence for those students.\u00a0<\/p>\n<p>Reform in developmental mathematics is needed.\u00a0 However, reform in developmental mathematics is not sufficient; we also need to reform the introductory college mathematics courses to reflect current needs and professional knowledge.\u00a0 Our students deserve the best mathematics we can provide, both in developmental and college-level courses.<\/p>\n<p>&nbsp;<br \/>\nJoin Dev Math Revival on Facebook:<br \/>\n<script src=\"http:\/\/connect.facebook.net\/en_US\/all.js#xfbml=1\"><\/script><fb:like href=\"http:\/\/www.facebook.com\/home.php#!\/pages\/DevMathRevival\/201095716578610\" show_faces=\"true\" width=\"450\" font=\"\"><\/fb:like><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For many years, our developmental mathematics programs were based on a remedial image &#8212; filling in the &#8216;swiss cheese&#8217; of student&#8217;s knowledge of school mathematics, with the school mathematics based on an archaic content (circa 1965).\u00a0 Now, for the first time, we have an opportunity to explore a model of developmental mathematics that is based [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[6,11],"tags":[],"class_list":["post-1085","post","type-post","status-publish","format-standard","hentry","category-content","category-math-curriculum-in-general"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p1qjjK-hv","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=\/wp\/v2\/posts\/1085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1085"}],"version-history":[{"count":6,"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=\/wp\/v2\/posts\/1085\/revisions"}],"predecessor-version":[{"id":1098,"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=\/wp\/v2\/posts\/1085\/revisions\/1098"}],"wp:attachment":[{"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.devmathrevival.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}