<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 Light',sans-serif;font-size:18.6667px">Ja, plenty of times on the statistics and probability course. That one was tougher than the calculus so far, not so much the math itself but the reasoning behind it. That one is tough for kids, perhaps easier for adults and those of us who have played poker or pondered these concepts. 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 Light',sans-serif;font-size:18.6667px"><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 Light',sans-serif;font-size:18.6667px">I taught statistics and probability to undergraduates, and the latter is much harder, even though it really comes down to counting.</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 Light',sans-serif;font-size:18.6667px"><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 Light',sans-serif;font-size:18.6667px">I read one study where medical doctors were given the facts: rate of incidence in the population, size of false positive errors and so forth about the likelihood of getting a disease. They all missed by miles. Conditional probability is really tough. Remember the three door problem, like that TV show? Ph. D. mathemeticians blew it. Marilyn Vos Savant got it.</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 Light',sans-serif;font-size:18.6667px"><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 Light',sans-serif;font-size:18.6667px">Long ago I lost an exgirlfriend to suicide. She tested positive for AIDS, but it was the first test. She very likely did not have it and was poorly advised by physicians, which is one reason I am extremely skeptical of them now (plus losing a father and a mother to their errors).</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 Light',sans-serif;font-size:18.6667px"><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 Light',sans-serif;font-size:18.6667px">I could likely use a refresher course but will try things I have no background for (no, too old for calculus and other math) or are not Khan's strength, like history or something. I wish Khan was active when I was. I have no use for math now.</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 Light',sans-serif;font-size:18.6667px"><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 Light',sans-serif;font-size:18.6667px">bill w</span></div></div><div class="gmail_extra"><br><div class="gmail_quote">On Fri, Jun 3, 2016 at 6:49 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@lists.extropy.org</a>] <b>On Behalf Of </b>William Flynn Wallace<br><b>…</b></span><span style="color:#222222"><u></u><u></u></span></p><div><div><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…</span><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:black"> is there anything about Khan that suggests that it might be superior in a setting where peer mentoring is done?</span><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Hmmm, I don’t see where peer mentoring would enter into that kind of effort. KA is really better set up for home study or after-school than in-school use.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…<span style="color:black">OK - ten minutes and most watchers have mastered that concept</span>…<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Ten minutes of lecture, followed by practice on the concept for perhaps thrice that same time period.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…<span style="color:black"> Then turn on another one?</span><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Ja. Self paced.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…</span><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:black">How fast did your kid go through the videos?</span><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Well, I recorded everything, so I have a total of 4320 minutes of video, 15030 minutes of working on skills and 1460 minutes working on challenges (writing software.) This was over a span of 1004 days, so an average of about 4 to 5 minutes of video per day, 15 minutes of skills, with intermittent projects.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">I would estimate about 8 minutes per video is more typical and a skill takes about 12-16 minutes or so to master a skill. So a reasonable approximation is about 500 videos and for skills, I have the exact number available: 1107 skills mastered. This was accomplished in less than 3 years (1004 days calendar, 480 days with at least some KA action of any kind (he has other training material besides this (such as a robotics training course.)))<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">This is an example of skills at the KA Calc1 level:<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Skill Level Questions <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Finding limits numerically Mastered <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">One-sided limits from graphs Mastered <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Two-sided limits from graphs Mastered <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Two-sided limits using algebra Mastered <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Two-sided limits using advanced algebra Mastered <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Continuity Mastered <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Limits at infinity where f(x) is unbounded Mastered<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Limits at infinity where x is unbounded Practiced <u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Squeeze theorem<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…<span style="color:black"> Did he ever replay one? </span><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Ja, plenty of times on the statistics and probability course. That one was tougher than the calculus so far, not so much the math itself but the reasoning behind it. That one is tough for kids, perhaps easier for adults and those of us who have played poker or pondered these concepts.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:black"> </span><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:#888888"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…<span style="color:black">Or this: would 5 Khan videos equal one 50 minute regular class session?</span><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">I am guessing a typical class session would give time for about two videos and about three skills if they hustle. The videos and skills don’t necessarily correspond one to one, and you don’t need to view the videos to do the skills. Plenty of it can be figured out by working on it.<u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:#888888"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">>…<span style="color:black">I think I will enroll and take a class or two just to see. Recommendations?</span><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">For a grown-up, try that statistics and probability course. It does not require a lot of math, no calculus, some table-lookup, some calculator stuff, plenty of reasoning. Take your time, draw diagrams. Don’t worry if you need to go back and review.<u></u><u></u></span></p><span class=""><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:#888888"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif;color:black">BTW, my time is yours and I'll share any of my so-called knowledge with you like I did in the beginning. bill w</span><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u><u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p></span><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">Cool thanks BillW. I would like another pair of eyes on this, just to see if others find it as marvelous as I do.<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:14.0pt;font-family:"Calibri Light",sans-serif"><u></u> <u></u></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri Light",sans-serif">spike<u></u><u></u></span></p></font></span></div></div></div></div><br>_______________________________________________<br>
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