{"id":13368,"date":"2021-08-01T20:00:57","date_gmt":"2021-08-02T00:00:57","guid":{"rendered":"https:\/\/blogs.mathworks.com\/pick\/?p=13368"},"modified":"2021-08-02T10:20:14","modified_gmt":"2021-08-02T14:20:14","slug":"matlab-app-for-teaching-mathematical-concepts","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/pick\/2021\/08\/01\/matlab-app-for-teaching-mathematical-concepts\/","title":{"rendered":"MATLAB App for teaching mathematical concepts"},"content":{"rendered":"<div class = rtcContent><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><a href = \"https:\/\/www.mathworks.com\/matlabcentral\/profile\/authors\/869871\"><span>Jiro<\/span><\/a><span>'s Pick this week is <\/span><a href = \"https:\/\/www.mathworks.com\/matlabcentral\/fileexchange\/96133\"><span>Unit Circle - Sine and Cosine Functions<\/span><\/a><span> by <\/span><a href = \"https:\/\/www.mathworks.com\/matlabcentral\/profile\/authors\/6662436\"><span>Michal Blaho<\/span><\/a><span>.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Concepts become easier to understand when they can be visualized and explored by students. Back when I first learned trigonometry in high school, my teacher would draw a unit circle on the chalkboard (yes, they were chalkboards back then). Then he would draw a set of axes to the right and another set fo axes to the bottom. They would represent the sine function and the cosine function, respectively. It actually looked something like this.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/pick\/files\/potw_unit_circle_sinecosine_1-1.gif\" width = \"738.9\" height = \"627\" alt = \"animation.gif\" style = \"vertical-align: baseline\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Of course, the drawings on the chalkboard never moved, but my teacher would draw a few lines with different colors to show how the values of the two functions would change with the angle of the line.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>It helped me visualize the mathematical relationship, but boy, do I wish I had access to this app when I was learning trigonometry! The beauty of such an app is that the user, the student, can see how the values change based on how they change the input value. They start to understand the concept because they see the cause and effect. I like the simple option Michal includes for quickly selecting multiples of <\/span><span mathmlencoding=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;\u03c0&lt;\/mi&gt;&lt;\/mrow&gt;&lt;mo&gt;\/&lt;\/mo&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;\/math&gt;\" style=\"vertical-align:-5px\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\"><mrow><mrow><mrow><mi>\u03c0<\/mi><\/mrow><mo>\/<\/mo><mrow><mn>4<\/mn><\/mrow><\/mrow><\/mrow><\/math><\/span><span> for the angles, in addition to selecting continuous angles.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>You can learn all about <\/span><a href = \"https:\/\/www.mathworks.com\/help\/matlab\/gui-development.html\"><span>building Apps<\/span><\/a><span> in MATLAB, to help convey ideas more effectively or create exploratory tools.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Give this app a try and let us know what you think <\/span><a href = \"https:\/\/blogs.mathworks.com\/pick\/?p=13368#respond\"><span>here<\/span><\/a><span> or leave a <\/span><a href = \"https:\/\/www.mathworks.com\/matlabcentral\/fileexchange\/96133#reviews_tab\"><span>comment<\/span><\/a><span> for Michal.<\/span><\/div>\r\n<\/div><script type=\"text\/javascript\">var css = ''; var head = document.head || document.getElementsByTagName('head')[0], style = document.createElement('style'); head.appendChild(style); style.type = 'text\/css'; if (style.styleSheet){ style.styleSheet.cssText = css; } else { style.appendChild(document.createTextNode(css)); }<\/script><a href=\"https:\/\/blogs.mathworks.com\/pick\/files\/potw_unit_circle_sinecosine.mlx\"><button class=\"btn btn-sm btn_color_blue pull-right add_margin_10\">Download Live Script<\/button><\/a>","protected":false},"excerpt":{"rendered":"<div class=\"overview-image\"><img src=\"https:\/\/blogs.mathworks.com\/pick\/files\/potw_unit_circle_sinecosine_1-1.gif\" class=\"img-responsive attachment-post-thumbnail size-post-thumbnail wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" \/><\/div><p>Jiro's Pick this week is Unit Circle - Sine and Cosine Functions by Michal Blaho.Concepts become easier to understand when they can be visualized and explored by students. Back when I first learned... <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/pick\/2021\/08\/01\/matlab-app-for-teaching-mathematical-concepts\/\">read more >><\/a><\/p>","protected":false},"author":35,"featured_media":13386,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[25,37,12,16],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/posts\/13368"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/users\/35"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/comments?post=13368"}],"version-history":[{"count":2,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/posts\/13368\/revisions"}],"predecessor-version":[{"id":13392,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/posts\/13368\/revisions\/13392"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/media\/13386"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/media?parent=13368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/categories?post=13368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/pick\/wp-json\/wp\/v2\/tags?post=13368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}