{"id":2177,"date":"2020-04-13T11:38:48","date_gmt":"2020-04-13T03:38:48","guid":{"rendered":"https:\/\/igbis.edu.my\/backupold2022\/the-past-changes-a-little-every-time-we-retell-it\/?page_id=2177"},"modified":"2025-10-09T10:03:04","modified_gmt":"2025-10-09T02:03:04","slug":"aok-mathematics","status":"publish","type":"page","link":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/theory-of-knowledge\/aok-mathematics\/","title":{"rendered":"AOK Mathematics"},"content":{"rendered":"\n<ol class=\"wp-block-list\">\n<li><a href=\"#History\">History of Mathematics<\/a><\/li>\n\n\n\n<li><a href=\"#Ethics\">Should Mathematics be ethical?<\/a><\/li>\n\n\n\n<li><a href=\"#Infinity\">The Man Who Knew Infinity<\/a><\/li>\n\n\n\n<li><a href=\"#Discovered\">Is Mathematics discovered or invented?<\/a><\/li>\n\n\n\n<li><a href=\"#Fermat\">Fermat&#8217;s Last Theorem<\/a><\/li>\n\n\n\n<li><a href=\"#Resources\">Resources<\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\" id=\"History\"><strong>History of Mathematics<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-thegist wp-block-embed-thegist\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/the-gist.org\/2014\/05\/the-history-of-the-metric-system-from-the-french-revolution-to-the-si\/\n<\/div><\/figure>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\" id=\"Ethics\"><strong>Should Mathematics be ethical?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"How Cops Are Using Algorithms to Predict Crimes | WIRED\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/7lpCWxlRFAw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.theguardian.com\/commentisfree\/2019\/aug\/18\/the-guardian-view-on-ethics-for-mathematicians-an-essential-addition?fbclid=IwAR0jnRO6trFbA3p0r3xxy99RJECGTlrmCW79eewAv555mO5z6ZRttumn03o\">The Guardian view on ethics for mathematicians: an essential addition<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.theguardian.com\/science\/2019\/aug\/16\/mathematicians-need-doctor-style-hippocratic-oath-says-academic-hannah-fry?fbclid=IwAR2YBZPvOpYOcv3WzLkMNFeyNstatT4V7I0TyGwFie1z7CWRKgXaB6vCgpQ\">Maths and tech specialists need Hippocratic oath, says academic<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/medium.com\/hackernoon\/does-maths-make-you-moral-11f3e8584ed2\">Does maths make you moral?<\/a><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\" id=\"Infinity\"><strong>The Man who Knew Infinity<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"The Man Who Knew Infinity Official Trailer #1 (2016) - Dev Patel, Jeremy Irons Movie HD\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/oXGm9Vlfx4w?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"The Man Who Knew Infinity 2015 1080p BluRay x264 VPPV\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/cZSDSKC9z54?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.newscientist.com\/article\/mg21628904-200-mathematical-proof-reveals-magic-of-ramanujans-genius\/\">Mathematical proof reveals magic of Ramanujan&#8217;s genius<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/theconversation.com\/the-man-who-knew-infinity-inspiration-rigour-and-the-art-of-mathematics-59520\">The Man Who Knew Infinity: inspiration, rigour and the art of&nbsp;mathematics<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For more understanding of Ramanujan, watch the following.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"&quot;Gems of Ramanujan and their Lasting Impact on Mathematics&quot;, Ken Ono\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/vaiBZJR7ao0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Ramanujan, 1729 and Fermat&#039;s Last Theorem\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/_o0cIpLQApk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">It is recommended that you use one of the resources above to help you answer these questions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. Why did people not trust Ramanujan as a mathematician? Were they right to do so?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. Can only educated people be trusted? Are they valued more?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c. Were his mathematical theories discovered or invented?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d. What is proof? Can there ever be 100% proof? How do you know something is proven?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e. Why is mathematics important? How do you know it is important? Who tells you that it is? How do you know their perspective can be trusted?<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\" id=\"Discovered\"><strong>Is Mathematics discovered or invented?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Daniel Tammet is perhaps similar to Ramanujan. Could his explanations explain the origins of Ramanujan&#8217;s knowledge?<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Daniel Tammet - The Boy With The Incredible Brain [1\/5]\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/AbASOcqc1Ss?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Watch Daniel&#8217;s explanation of how he develops knowledge. <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Is it the same for everybody? Why, why not?<\/li>\n\n\n\n<li>Does he discover maths or has he invented a new way of inventing?<\/li>\n\n\n\n<li>How do you develop your knowledge of mathematics? <\/li>\n\n\n\n<li>If you arrive at the same answer but in different ways, is it the same knowledge?<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Different ways of knowing | Daniel Tammet\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/Pzd7ReqiQnE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Is Maths just a game?<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-the-varsity wp-block-embed-the-varsity\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/thevarsity.ca\/2021\/03\/28\/is-mathematics-discovered-or-invented\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Is math discovered or invented? - Jeff Dekofsky\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/X_xR5Kes4Rs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Were prime numbers discovered or invented?<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Journey to Prime Numbers.\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/zLAsZH5QGJY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\" id=\"Fermat\"><strong>Fermat&#8217;s Last Theorem<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is a fascinating documentary, if rather long, about how a maths professor solved the centuries-old problem of Fermat&#8217;s Last Theorem. <\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>How did Professor Andrew Wiles solve the problem?<\/li>\n\n\n\n<li>Which WOK did he use?<\/li>\n\n\n\n<li>What were the difficulties in proving his solution (his knowledge)?<\/li>\n\n\n\n<li>Can his knowledge be trusted? How can it be used outside of mathematics?<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Fermat&#039;s Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas [1993]\" width=\"525\" height=\"394\" src=\"https:\/\/www.youtube.com\/embed\/6ymTZEeTjI8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\" id=\"Resources\"><strong>Resources<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Two excellent websites with Maths resources are below, kudos to the teachers who developed them. <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-ib-maths-resources-from-intermathematics wp-block-embed-ib-maths-resources-from-intermathematics\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"NWszXASBjf\"><a href=\"https:\/\/ibmathsresources.com\/ibtokmaths\/\">Tok Maths Resources<\/a><\/blockquote><iframe class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; clip: rect(1px, 1px, 1px, 1px);\" title=\"&#8220;Tok Maths Resources&#8221; &#8212; IB Maths Resources from Intermathematics\" src=\"https:\/\/ibmathsresources.com\/ibtokmaths\/embed\/#?secret=MayY0N1m0M#?secret=NWszXASBjf\" data-secret=\"NWszXASBjf\" width=\"525\" height=\"296\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/washburnmath.weebly.com\/tok-and-mathematics.html\">TOK and Mathematics<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/tok2022.weebly.com\/mathematics.html\">TOK2022<\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Lightning calculation and other &quot;mathemagic&quot; | Arthur Benjamin\" width=\"525\" height=\"394\" src=\"https:\/\/www.youtube.com\/embed\/M4vqr3_ROIk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Choose one of the articles below and explain how it links to the issue of proof in mathematics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.quantamagazine.org\/where-proof-evidence-and-imagination-intersect-in-math-20190314\/\">Proof and Evidence in maths<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.businessinsider.com\/the-most-controversial-math-problems-2013-3?IR=T#-12\">Controversial Maths Problems<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">How do we know how to teach mathematics?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/ig.ft.com\/special-reports\/maya-maths\/?utm_source=facebook&amp;utm_content=ft_followers\">Is Mayan maths better?<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Why study maths? Does it have the answers?<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Is Reality A Mathematical Structure? - Horizon: What Is Reality? - BBC Two\" width=\"525\" height=\"295\" src=\"https:\/\/www.youtube.com\/embed\/PTF-hHGbQ6s?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"has-cyan-bluish-gray-background-color has-background wp-block-paragraph\"><strong>2020 Student Presentations<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1yXRUod2akBhARBQvgfJofxg8oOpmRWz938oGWyHUp7Y\/edit?ts=5f601206#slide=id.p\">Student Presentation &#8211; September 2020<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>History of Mathematics Should Mathematics be ethical? The Guardian view on ethics for mathematicians: an essential addition Maths and tech specialists need Hippocratic oath, says academic Does maths make you moral? The Man who Knew Infinity Mathematical proof reveals magic of Ramanujan&#8217;s genius The Man Who Knew Infinity: inspiration, rigour and the art of&nbsp;mathematics For &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/theory-of-knowledge\/aok-mathematics\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;AOK Mathematics&#8221;<\/span><\/a><\/p>\n","protected":false},"author":95,"featured_media":0,"parent":30,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_crdt_document":"","footnotes":""},"class_list":["post-2177","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/pages\/2177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/users\/95"}],"replies":[{"embeddable":true,"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/comments?post=2177"}],"version-history":[{"count":38,"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/pages\/2177\/revisions"}],"predecessor-version":[{"id":11237,"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/pages\/2177\/revisions\/11237"}],"up":[{"embeddable":true,"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/pages\/30"}],"wp:attachment":[{"href":"https:\/\/stg.igbis.edu.my\/the-past-changes-a-little-every-time-we-retell-it\/wp-json\/wp\/v2\/media?parent=2177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}