{"id":26633,"date":"2016-01-03T23:21:36","date_gmt":"2016-01-04T04:21:36","guid":{"rendered":"http:\/\/blogs.ams.org\/mathgradblog\/?p=26633"},"modified":"2016-01-31T22:47:27","modified_gmt":"2016-02-01T03:47:27","slug":"change-traditional-mathematics-teaching-memorization-based-method-interactive-based-method","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/mathgradblog\/2016\/01\/03\/change-traditional-mathematics-teaching-memorization-based-method-interactive-based-method\/","title":{"rendered":"How to change the Traditional Mathematics Teaching from the Memorization-Based Method to Interactive-Based Method"},"content":{"rendered":"<p>During my Calculus II teaching in Fall 2015 at Washington State University (WSU), several students told me that \u201cVolume<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-26634 alignright\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/logo-post-4.jpg\" alt=\"logo post 4\" width=\"314\" height=\"149\" srcset=\"https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/logo-post-4.jpg 618w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/logo-post-4-300x142.jpg 300w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/>s\u201d\u00a0is one of the most difficult\u00a0topics in Calculus II, and they also told me \u201cit is difficult to apply what we learned from the course\u2019s textbook to find the volume of solid correctly without getting at\u00a0least some minor mistakes\u201d. I told them: \u201cI will show you that \u201cVolumes\u201d is the easiest topic in Calculus II by changing the method of \u201cVolumes\u201d teaching form traditional (memorization) one to modern (interactive) one\u201d. A good math teacher is the one who can listen to students\u2019 concerns and apply whatever possible to help them understand the material in an interactive and interesting way. The following is one example out of many examples that I do in my Calculus II class to help my students understand the course\u2019s material in interactive way using real-life applications:<!--more--><\/p>\n<p><a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-26635\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/1.png\" alt=\"1\" width=\"1096\" height=\"853\" srcset=\"https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/1.png 1096w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/1-300x233.png 300w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/1-1024x797.png 1024w\" sizes=\"auto, (max-width: 1096px) 100vw, 1096px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-26636\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/2.png\" alt=\"2\" width=\"737\" height=\"842\" srcset=\"https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/2.png 737w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/2-263x300.png 263w\" sizes=\"auto, (max-width: 737px) 100vw, 737px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-26637\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/3.png\" alt=\"3\" width=\"737\" height=\"798\" srcset=\"https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/3.png 737w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/3-277x300.png 277w\" sizes=\"auto, (max-width: 737px) 100vw, 737px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/4.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-26639\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/4.png\" alt=\"4\" width=\"385\" height=\"895\" srcset=\"https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/4.png 385w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/4-129x300.png 129w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/5.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-26640\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/5.png\" alt=\"5\" width=\"915\" height=\"380\" srcset=\"https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/5.png 915w, https:\/\/blogs.ams.org\/mathgradblog\/files\/2016\/01\/5-300x125.png 300w\" sizes=\"auto, (max-width: 915px) 100vw, 915px\" \/><\/a><\/p>\n<p>In conclusion, if we apply real-life examples to our courses\u2019 materials as I did in this example, then we can create an interactive-based math class.<\/p>\n<p>To see more examples like this and other interactive methods, please see <a href=\"http:\/\/www.mohammed-kaabar.net\/#!calculus-ii-lab-section-7\/c1xc5\">my course webpage<\/a>.\u00a0 Best of luck and feel free to reach out if you have questions!<\/p>\n<p><strong>References:<\/strong><\/p>\n<p>Kaabar, M. K. A. (2012). <u>Mohammed Kaabar Website<\/u>, Available at <a href=\"http:\/\/www.mohammed-kaabar.net\">http:\/\/www.mohammed-kaabar.net<\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>During my Calculus II teaching in Fall 2015 at Washington State University (WSU), several students told me that \u201cVolumes\u201d\u00a0is one of the most difficult\u00a0topics in Calculus II, and they also told me \u201cit is difficult to apply what we learned &hellip; <a href=\"https:\/\/blogs.ams.org\/mathgradblog\/2016\/01\/03\/change-traditional-mathematics-teaching-memorization-based-method-interactive-based-method\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" data-url=https:\/\/blogs.ams.org\/mathgradblog\/2016\/01\/03\/change-traditional-mathematics-teaching-memorization-based-method-interactive-based-method\/><\/div>\n","protected":false},"author":94,"featured_media":0,"comment_status":"open","ping_status":"closed","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":""},"categories":[2,3,8,139,12,158,13,157,15,16,117,20,21],"tags":[134,147,135],"class_list":["post-26633","post","type-post","status-publish","format-standard","hentry","category-advice","category-ams","category-general","category-grad-school","category-math","category-math-education","category-math-games","category-math-teaching","category-mathematics-in-society","category-mathematics-online","category-publishing","category-teaching","category-technology-math","tag-math-education","tag-math-teaching-and-learning","tag-teaching-advice"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3gbww-6Vz","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/26633","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/users\/94"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/comments?post=26633"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/26633\/revisions"}],"predecessor-version":[{"id":26756,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/26633\/revisions\/26756"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/media?parent=26633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/categories?post=26633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/tags?post=26633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}