{"id":9904,"date":"2014-11-28T14:39:22","date_gmt":"2014-11-28T06:39:22","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=9904"},"modified":"2014-12-09T16:18:26","modified_gmt":"2014-12-09T08:18:26","slug":"intmath-newsletter-vectors-geogebra-5","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-vectors-geogebra-5-9904","title":{"rendered":"IntMath Newsletter: Vectors activity, GeoGebra 5"},"content":{"rendered":"

28 Nov 2014<\/p>\n

In this Newsletter:<\/p>\n

1. Math in cross-wind landing vectors applet
\n 2. GeoGebra 5 now with 3-D graphs
\n 3. Math puzzles
\n4. Final thought - thank you<\/p>\n

1. Math in cross-wind landing vectors applet<\/h2>\n

I recently updated the crosswind landing applet in the Vectors chapter, so it now runs on tablets. <\/p>\n\n\n
\"Here's<\/a><\/td>\n\n

There is some interesting math behind this cross wind landing applet. Let's take a look at it: <\/p>\n

Math in cross-wind landing vectors applet<\/a><\/p>\n<\/td>\n<\/tr>\n<\/table>\n

2. GeoGebra 5 now with 3-D graphs<\/h2>\n

GeoGebra<\/a> is a great tool for exploring math concepts in a visual way. It is a powerful free graphing tool that allows you to develop your own interactive math applets, with no coding knowledge required (well, a little helps!).<\/p>\n

I've been looking forward to the release of version 5 for some time, as it promised 3D graphics. It came out a few months ago and I've been having a play with it recently.<\/p>\n

One of the early drawbacks of GeoGebra was that it worked on desktops only (being Java-based). But now it can be used on iOS, Android and Windows tablets, and as for phones, they say it's "coming soon". <\/p>\n\n\n
\"3D<\/a><\/td>\n\n

GeoGebra's latest version offers 3D graphs and output that can be viewed on tablet devices. <\/p>\n

Here's a quick overview with some graph examples.<\/p>\n

GeoGebra now with 3D graphs<\/a><\/p>\n<\/td>\n<\/tr>\n<\/table>\n

3. Math puzzles<\/h2>\n

The puzzle in the last IntMath Newsletter<\/a> asked about cup capacity when mixing gasoline and oil. The correct answer with explanation<\/a> was given by Chris, Rajat and Nicos. <\/p>\n

New math puzzle<\/strong>: What is the value of e<\/em>ln x<\/em><\/sup><\/span>? How does it differ from the value of ln e<\/em>x<\/em><\/sup><\/span>? <\/p>\n

(Note:<\/strong> "ln<\/span>" is the natural logarithm, and "ln x<\/em><\/span>" means "loge<\/sub>x<\/em><\/span>". I've always thought the notation for natural logarithm is terrible, and I complain about it when introducing natural logs<\/a>.) <\/p>\n

Leave your responses here<\/a>.<\/p>\n

4. Final thought - thank you <\/h2>\n

Yesterday was Thanksgiving in the USA. In line with this topic, one of my most popular recent tweets was:<\/p>\n

\n

\"Count<\/p>\n<\/blockquote>\n

Education is a wonderful blessing, but sadly, it often seems to be appreciated only by those who don't have easy access to it.<\/p>\n

Until next time, enjoy whatever you learn.<\/p>\n

See the 15 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"

In this Newsletter:<\/p>\n

1. Math in cross-wind landing vectors applet
\n2. GeoGebra 5 now with 3-D graphs
\n3. Math puzzles
\n4. Final thought - thank you<\/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\/9904"}],"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=9904"}],"version-history":[{"count":0,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/9904\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=9904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=9904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=9904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}