<div dir="ltr"><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px">Given those criteria, how many discrete skills would you estimate are required to go from start to end of first semester calculus? Or another way to ask: if you were designing a complete start to end of differential calculus training regime, how many skills would you estimate you will need to create for an average student? spike</span><br></div><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px"><br></span></div><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px">Huh?? Didn't I ever tell you that I stopped with college algebra? I could not do that exercise even for algebra, or, come to think of it, any skill whatsoever from ping pong to operating a skilsaw</span></div><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px"><br></span></div><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px">I've checked my knowledge for a long time by remembering the makeup of the Supreme Court. You are right, history, geography skills are appalling as we are so often reminded by news articles.</span></div><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px"><br></span></div><div class="gmail_default" style="font-family:"comic sans ms",sans-serif;font-size:small;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:Calibri,sans-serif;font-size:14.6667px">bill w</span></div></div><div class="gmail_extra"><br><div class="gmail_quote">On Sat, Aug 20, 2016 at 5:45 PM, spike <span dir="ltr"><<a href="mailto:spike66@att.net" target="_blank">spike66@att.net</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div lang="EN-US" link="blue" vlink="purple"><div><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> extropy-chat [mailto:<a href="mailto:extropy-chat-bounces@lists.extropy.org" target="_blank">extropy-chat-bounces@<wbr>lists.extropy.org</a>] <b>On Behalf Of </b>William Flynn Wallace<br><b>Sent:</b> Saturday, August 20, 2016 1:55 PM<span class=""><br><b>To:</b> ExI chat list <<a href="mailto:extropy-chat@lists.extropy.org" target="_blank">extropy-chat@lists.extropy.<wbr>org</a>><br><b>Subject:</b> Re: [ExI] google classroom, was: RE: Meta question<u></u><u></u></span></span></p><p class="MsoNormal"><u></u> <u></u></p><div><div><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#222222">Result: a sharp motivated student can get from basic addition to calculus in four years rather than the usual twelve, and once they do, they know everything in between much better and can use it far more effectively.</span><span style="color:#222222"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#222222"> </span><span style="color:#222222"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#222222">spike</span><span style="color:#222222"><u></u><u></u></span></p><p class="MsoNormal"><span style="color:#222222"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">>…Now History - I never had a good teacher and think that maybe it can't be taught any way at all. I never made above a C in it except for Ancient History (easier teacher probably, as it was not a popular course). Ss should be given a History DVD and tested later. No need for a teacher!</span><u></u><u></u></p><p class="MsoNormal"><u></u> <u></u></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">bill w</span><u></u><u></u></p></div></div><div><p class="MsoNormal"><u></u> <u></u></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">BillW, let us use that comment as a jumping off point and look specifically at history please.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">This is a perfect example of the shortcomings of traditional teaching imposed on us by the inherent limitations of classroom constraints. As in mathematics, some students will get it immediately, others eventually, some never, but it is easy enough to verify that in our own country, the collective understanding of history is anywhere from appalling to something worse than that. It isn’t just a song: we don’t know much about history, even those of us who do know what a slide rule is for.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Since you and I are Americans, do this experiment: ask a few fellow yanks if they know the location of Helsinki. The blanks stares you will get from most is better than those who attempt it: Yup, ah know where’s Helsinki. Bad people go there when they die. The really bad ones keep right on sinkin’ down and end up in Hail-sinki.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">I exaggerate. But not by much. I would be surprised if 20% of yanks can name the country. We yanks are not given a good overall view of history or geo-politics. Our formal education on this general area is sketchy, piecemeal, designed by committee.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Do let me return to math for the following thought experiment.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Imagine teaching a child from start of first grade up through the top level a high school student generally attains, which would be the equivalent of about through the first semester of calculus. Imagine all the mathematics included in those 12 years of instruction, and imagine parsing it into skills. I leave you to define those skills any way you want, but Khan did so with about 8 to 10 minute lectures, followed by four levels of practice, typically about five exercises in each level, then a final assessment to achieve mastery in that skill. So in general, a skill would take a typical student about half an hour average.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">The areas will include arithmetic, the algebra, the geometry, trigonometry, numerical analysis, probability and statistics, modeling, analytic geometry, pre-calculus, all the way up thru and including differential (but not integral) calculus.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Given those criteria, how many discrete skills would you estimate are required to go from start to end of first semester calculus? Or another way to ask: if you were designing a complete start to end of differential calculus training regime, how many skills would you estimate you will need to create for an average student?<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">You may work backwards if you wish: estimate the number of hours of study, and time per skill.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Don’t look up Sal Khan’s skill breakdown before you estimate it on your own.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Ready, set, GO!<span class="HOEnZb"><font color="#888888"><u></u><u></u></font></span></span></p><span class="HOEnZb"><font color="#888888"><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">spike <u></u><u></u></span></p></font></span></div></div></div><br>______________________________<wbr>_________________<br>
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