{"id":4895,"date":"2010-07-23T07:45:35","date_gmt":"2010-07-22T23:45:35","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=4895"},"modified":"2014-06-09T11:19:48","modified_gmt":"2014-06-09T03:19:48","slug":"intmath-newsletter-radius-of-curvature-log-curve-free-math-videos","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-radius-of-curvature-log-curve-free-math-videos-4895","title":{"rendered":"IntMath Newsletter: radius of curvature, log curve, free math videos"},"content":{"rendered":"<p>22 Jul  2010<\/p>\n<p>In this Newsletter:<\/p>\n<p>1. Math of the great summer brain drain <br \/>\n2. Math tip: Radius of Curvature, an application of differentiation<br \/>\n3. Slope of the logarithm curve at any point <br \/>\n4. Friday math movie - Khan's Academy<br \/>\n5. How to import GeoGebra files into JSXGraph<br \/>\n  6. Final thought &ndash; stay positive <\/p>\n<h2>1. Math of the great summer brain drain <\/h2>\n<p>Here is some interesting information about how <strong>forgetting<\/strong> works, and what we can do to reduce it.<\/p>\n<p>Do you want to be a successful math student? This could be a good place to start. <\/p>\n<p><strong>Suitable for: <\/strong>Everyone. <\/p>\n<table border=\"0\" cellpadding=\"5\">\n<tr>\n<td>\n<p><a href=\"https:\/\/www.intmath.com\/applications-differentiation\/8-radius-curvature.php\"><\/a><a href=\"https:\/\/www.intmath.com\/blog\/learn-math\/math-of-the-great-summer-brain-drain-4886\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2010\/07\/forgetting_th.gif\" alt=\"forgetting\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/p>\n<\/td>\n<td style=\"vertical-align:top\">\n<p>Everyone knows students drop a few grades in their knowledge during the summer months. What's the math behind this?<\/p>\n<p>Read more: <a href=\"https:\/\/www.intmath.com\/blog\/learn-math\/math-of-the-great-summer-brain-drain-4886\">Math of the great summer brain drain<\/a> <\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h2>2. Math tip: Radius of Curvature, an application of differentiation <\/h2>\n<p>I re-wrote a page on Interactive Mathematics recently and thought you may find it useful.<\/p>\n<p>A reader sent in a question asking how to find the radius of curvature if we don't know the function. I solve this problem in 3 different ways. You can get some good mathematical understanding from this.<\/p>\n<p><strong>Suitable for: <\/strong>Everyone. Even if you have never heard of calculus yet, you will come across it one day and this example gives you an idea about what it can be used for. <\/p>\n<h4>Summary of the page:<\/h4>\n<ul>\n<li>What is radius of curvature and why study it?<\/li>\n<li>Example of radius of curvature involving a cubic curve<\/li>\n<li>Exploration of radius of curvature using an interactive graph<\/li>\n<li>A second example (the one sent in by a reader) that is solved in 3 different ways:\n<ol>\n<li>Using a <strong>parabola<\/strong> to model the data and differentiation <\/li>\n<li>Using <strong>linear approximations<\/strong> and concepts of calculus<\/li>\n<li>Using the formula for the <strong>circle passing through 3 points<\/strong> <\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p>So here it is:  <a href=\"https:\/\/www.intmath.com\/applications-differentiation\/8-radius-curvature.php\"><\/a> <\/p>\n<table border=\"0\" cellpadding=\"5\">\n<tr>\n<td>\n<p><a href=\"https:\/\/www.intmath.com\/applications-differentiation\/8-radius-curvature.php\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2010\/07\/train-tracks_th.gif\" alt=\"train tracks radius of curvature\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/p>\n<\/td>\n<td style=\"vertical-align:top\">\n<p>In this example, we learn about radius of curvature and one of its applications. <\/p>\n<p>Read more: <a href=\"https:\/\/www.intmath.com\/applications-differentiation\/8-radius-curvature.php\">Radius of Curvature<\/a><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h2>3. Slope of the logarithm curve at any point <\/h2>\n<p><strong>Suitable for: <\/strong>Everyone. Once again, this example involves differentiation (a calculus topic), but the main concept is easy for everyone to understand: as you move around a curve, the slope changes. <\/p>\n<table border=\"0\" cellpadding=\"5\">\n<tr>\n<td><a href=\"https:\/\/www.intmath.com\/differentiation-transcendental\/5-derivative-logarithm.php\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2010\/07\/geogebra-jsxgraph.png\" alt=\"Geogebra to JSXGraph\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/td>\n<td style=\"vertical-align:top\">\n<p>This is a new interactive graph in IntMath. You can drag a point around a logarithm curve to learn about the changing slope.<\/p>\n<p>You'll laso learn what a log curve looks like. <\/p>\n<p>Learn more: <a href=\"https:\/\/www.intmath.com\/differentiation-transcendental\/5-derivative-logarithm.php\">Slope of the Logarithm Function<\/a> <\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h2>4. Friday math movie - Khan's Academy <\/h2>\n<p><strong>Suitable for: <\/strong>Everyone.<\/p>\n<table border=\"0\" cellpadding=\"5\">\n<tr>\n<td><a href=\"https:\/\/www.intmath.com\/blog\/videos\/friday-math-movie-free-math-videos-by-khan-academy-4854\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2010\/07\/khan.png\" alt=\"Khan Academy\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/td>\n<td style=\"vertical-align:top\">\n<p>Here's a wide range of free videos by a guy that clearly loves to teach. This is a very popular math video series. <\/p>\n<p>Watch a typical video. This one is about the Unit Circle:  <\/p>\n<p>      <a href=\"https:\/\/www.intmath.com\/blog\/videos\/friday-math-movie-free-math-videos-by-khan-academy-4854\" rel=\"bookmark\" title=\"Permalink for Friday math movie &ndash; free math   videos by Khan Academy\">Friday math movie &ndash; free math videos by Khan   Academy<\/a><\/td>\n<\/tr>\n<\/table>\n<h2>5. How to import GeoGebra files into JSXGraph<\/h2>\n<p><strong>Suitable for: <\/strong>Math computer geeks.  <\/p>\n<table border=\"0\" cellpadding=\"5\">\n<tr>\n<td>\n<p><a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/how-to-import-geogebra-files-into-jsxgraph-4862\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2010\/07\/jsxgraph-geogebra_th.gif\" alt=\"JSXGraph and Geogebra\" width=\"128\" height=\"100\" border=\"0\" \/><\/a><\/p>\n<\/td>\n<td style=\"vertical-align:top\">\n<p>This article explains how you can create interactive math applets using GeoGebra (which is easy) and import those files into JSXGraph (which displays the math in a browser, and is cross-platform and cross-browser).<\/p>\n<p>Read more: <a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/how-to-import-geogebra-files-into-jsxgraph-4862\">How to import GeoGebra files into JSXGraph<\/a> <\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h2>6. Final thought \u2013 stay positive <\/h2>\n<p>A lot has been written about the power of positive thinking. But it's true! <\/p>\n<p>The people who have a negative approach to math (&quot;This is dumb!&quot; &quot;This is never used in the real world!&quot;) and do nothing much to improve their skills, get into a cycle where they get worse.<\/p>\n<p>Here's a thought from self-help speaker and author Brian Tracy:<\/p>\n<blockquote>\n<p>&quot;The more positive you are when you think and work toward your goals, the faster you achieve them.&quot; [Brian Tracy]<\/p>\n<\/blockquote>\n<p>Until next time, enjoy whatever you learn. <\/p>\n<p class=\"alt\">See the <a href=\"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-radius-of-curvature-log-curve-free-math-videos-4895#comments\" id=\"comms\">16 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this Newsletter:<\/p>\n<p>1. Math of the great summer brain drain <br \/>\n2. Math tip: Radius of Curvature, an application of differentiation<br \/>\n3. Slope of the logarithm curve at any point <br \/>\n4. Friday math movie - Khan's Academy<br \/>\n5. How to import GeoGebra files into JSXGraph<br \/>\n  6. Final thought &ndash; stay positive <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[104],"tags":[],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/4895"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=4895"}],"version-history":[{"count":0,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/4895\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=4895"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=4895"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=4895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}