{"id":725,"date":"2009-09-30T02:27:28","date_gmt":"2009-09-30T07:27:28","guid":{"rendered":"http:\/\/stager.tv\/?p=725"},"modified":"2009-09-30T02:34:15","modified_gmt":"2009-09-30T07:34:15","slug":"welcome-to-the-world-of-probability","status":"publish","type":"post","link":"http:\/\/stager.tv\/?p=725","title":{"rendered":"Welcome to the World of Probability"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>Originally published in the September 2000 issue of Australia&#8217;s <em>Hotsource<\/em> online newsletter<\/strong><\/p>\n<p>Now                    that most of you can be considered advanced beginners in using                    MicroWorlds, this issue will explore a bit more of the language                    and data structures available to you.<\/p>\n<p>The                    following activity explores probability while demonstrating                    how sliders, text boxes and even the screen may be used to collect                    and report data.<\/p>\n<p><strong>Who&#8217;s                    for two-up?<br \/>\n<\/strong>The core of this task will be to flip a coin numerous times                    and record the number of times heads and tails appear.<\/p>\n<ul>\n<li> Start a new project.<\/li>\n<li>Name                      the turtle, coin.<\/li>\n<li>Create                      two coin shapes in the shapes centre. Name one heads and the                      other tails. Be sure to make them appear different in some                      way so that the user can clearly see which one side of the                      coin lands faceup.<\/li>\n<li>Change                      the turtle&#8217;s costui-ne to one of the coin shapes. Create a                      Many Times button with the instruction, flip.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/web.archive.org\/web\/20001026194344\/http:\/\/www.hotsource.com.au\/site\/gary%20pic%201.jpg\" alt=\"\" width=\"300\" height=\"166\" \/><\/p>\n<p><strong>Recording                    data with text boxes<br \/>\n<\/strong>This part of the project will flip a coin in FLIP, and change                    the value in the textboxes, headscount, tailscount and totalflips.                    If you name turtles, text boxes or sliders with unique name                    you may change them even ii they are on different pages. This                    allows you to have some action going on between the scenes.<\/p>\n<ul>\n<li>Make                      a Startup button on the first page.<\/li>\n<li>Create                      a new page from the pages menu.<\/li>\n<li>Create                      text boxes named, Headscount, Tailscount and Totalflips.<\/li>\n<li>Show                      the names of the text boxes so the user knows what they are                      reading<\/li>\n<li>Click                      the Startup button<\/li>\n<li>Type                      the following procedures on the procedures page.<\/li>\n<\/ul>\n<p>to                    flip<br \/>\nifelse coin = &#8216;heads<br \/>\n[recordheads]<br \/>\n[recordtails]<br \/>\nsettotalflips totalflips + 1<br \/>\nend<\/p>\n<p>to                    coin<br \/>\nif 1 = random 2 [output &#8220;heads]<br \/>\noutput &#8220;tails<br \/>\nend<\/p>\n<p>to recordheads<br \/>\ncoin, setsh &#8216;heads<br \/>\nsetheadscount headscount + 1<br \/>\nend<\/p>\n<p>to recordtails<br \/>\ncoin, setsh &#8220;tails<br \/>\nsettailscount tailscount + 1<br \/>\nend<\/p>\n<p>to startup<br \/>\neveryone [settext 0]<br \/>\nend<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/web.archive.org\/web\/20001026194344\/http:\/\/www.hotsource.com.au\/site\/gary%20pic%202.jpg\" alt=\"\" width=\"300\" height=\"170\" \/><\/p>\n<p>Click                    the flip button to start and stop the experiment. You may wish                    to make the flip button run many times if you want it to keep                    flipping the coin.<\/p>\n<p><strong>Recording                    data with sliders<br \/>\n<\/strong>Sliders may be used as reporters (input devices) to change                    the value of a variable or they may be used as indicators (output                    devices) displaying the current value of that reporter. Let&#8217;s                    experiment with sliders on a second page of our coin flipping                    project.<\/p>\n<ul>\n<li>Create                      a new page from the Pages menu<\/li>\n<li>Create                      two sliders &#8216;heads and tails, with a minimum of 0 and maximum                      of 300 at the bottom of the new page<\/li>\n<li>Optional:                      Create buttons to switch between the two pages of our project.<\/li>\n<li>Make                      the following changes to your procedures.<\/li>\n<\/ul>\n<p>To                    recordheads<br \/>\ncoin, setsh &#8216;heads<br \/>\nsetheadscount headscount + 1<br \/>\n<strong>setheads heads + 1<\/strong><br \/>\nend<\/p>\n<p>to recordtails<br \/>\ncoin, setsh &#8220;tails settailscount tailscount + 1<br \/>\n<strong>settails tails + 1<\/strong><br \/>\nend<\/p>\n<p>to startup<br \/>\nsettailscount 0<br \/>\nsetheadscount 0<br \/>\nsettotalflips 0<br \/>\n<strong>settails 0 setheads 0<\/strong><br \/>\nend<\/p>\n<p>Type                    Startup to init-ialise the variables, click oA the flip button                    and switch between pages.<\/p>\n<p>Do                    you see the sliders changing their values?<\/p>\n<p><strong>Extra                    bonus! Adding a histogram to graph our data<br \/>\n<\/strong>It is easy to add simple graphing functionality to our probability                    lab with the creation of two turtles and a bit more Logo programming.<\/p>\n<ul>\n<li>Hatch                      two turtles on the same page as the sliders.<\/li>\n<li>Name                      one turtle, headsgraph, and the other, tailsgi-aph (for heads                      graph and tails graph)<\/li>\n<li>Place                      those turtles above their respective sliders.<\/li>\n<li>Create                      two different turtle costui-nes consisting of blue and red                      horizontal bars. Name the shapes hline and tline.<\/li>\n<\/ul>\n<p>Make                    the following changes to your procedures.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/web.archive.org\/web\/20001026194344\/http:\/\/www.hotsource.com.au\/site\/gary%20pic%203.jpg\" alt=\"\" width=\"300\" height=\"208\" \/><\/p>\n<p>To                    recordheads<br \/>\ncoin, setsh &#8216;heads<br \/>\nsetheadscount headscount + 1<br \/>\nsetheads heads + 1<br \/>\nheadsgraph, fd 1 stamp<br \/>\nend<\/p>\n<p>to recordtails<br \/>\ncoin, setsh &#8220;tails<br \/>\nsettailscount tailscount+l<br \/>\nsettails tails + 1<br \/>\ntailsgraph, FD 1 stamp<br \/>\nend<\/p>\n<p>to startup<br \/>\nsettailscount 0<br \/>\nsetheadscount 0<br \/>\nsettotalflips 0<br \/>\nsettails 0 setheads 0<br \/>\nheadsgraph, setpos [-170 1451]<br \/>\ntailsgraph, setpos [200 145] page2 clean pagel<br \/>\nend<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/web.archive.org\/web\/20001026194344\/http:\/\/www.hotsource.com.au\/site\/gary%20pic%204.jpg\" alt=\"\" width=\"300\" height=\"70\" \/><\/p>\n<p>Type                    Startup and click on the flip button to set the experiment in                    action! You may even want to figure out a way to stop the graphing                    when a bar reaches the top. How about a textbox reporting the                    experimental standard deviation?<\/p>\n<p>The                    magic of MicroWorlds&#8217; parallelism allows the coin to be animated,                    text boxes to change, sliders to report and a histogram to be                    created all at once. You can use lots of software to generate                    random numbers, but no other title allows all of these things                    to happen at once. I am confident that you can figure out exciting                    ways to integrate these programming techniques into much more                    complex simulations and experiments.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Originally published in the September 2000 issue of Australia&#8217;s Hotsource online newsletter Now that most of you can be considered advanced beginners in using MicroWorlds, &hellip; <\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[446,430,434,429,431],"tags":[542,551,550,543,552],"class_list":["post-725","post","type-post","status-publish","format-standard","hentry","category-classic-stager","category-creativity","category-learning","category-project-based-learning","category-teaching","tag-logo-programming","tag-math-education","tag-maths-education","tag-microworlds","tag-probability"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - 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