tag:blogger.com,1999:blog-2883226237165701608.post6947363919674894177..comments2022-10-31T04:56:00.890-04:00Comments on College Misery: Why can't Johnny understand math? A Big Thirsty from Dr. Amelia.Unknownnoreply@blogger.comBlogger15125tag:blogger.com,1999:blog-2883226237165701608.post-2146292806621186432014-10-28T17:40:21.782-04:002014-10-28T17:40:21.782-04:00There's another saying: do what you've alw...There's another saying: do what you've always done, and you'll have what you've always had, which in our case, is students who are pathetically unskilled in mathematics, lagging far behind the other developed countries. So, if you think math education is working very well and the statistics are just a huge lie, then of course there is no reason to change math education. StatisticsProgramming Pattyhttps://www.blogger.com/profile/03838328277067778125noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-30095514794808736322014-10-24T19:40:05.810-04:002014-10-24T19:40:05.810-04:00Patty:
There's a saying in industry: if it w...Patty:<br /><br />There's a saying in industry: if it works, don't fix it.<br />Quarter Wave Verticalhttps://www.blogger.com/profile/03173446011323023116noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-52572980319908994432014-10-24T17:39:30.455-04:002014-10-24T17:39:30.455-04:00Johnny isn't doing math. He's cheating.Johnny isn't doing math. He's cheating.Froderick Frankenstien from Fresnohttps://www.blogger.com/profile/11653942918068535424noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-12353896641249679992014-10-24T17:02:21.739-04:002014-10-24T17:02:21.739-04:00Could not understand math until I took a logic cou...Could not understand math until I took a logic course my senior year in college...Walt Lessunhttps://www.blogger.com/profile/06543175448330140638noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-7713972310220344512014-10-24T16:34:42.593-04:002014-10-24T16:34:42.593-04:00Not to say that the Common Core math questions are...Not to say that the Common Core math questions are well-phrased, however, pretty much anyone can understand that adding<br /><br /> 12<br /> 8<br /> 15<br /> 6<br />+ 4<br />____________<br /><br /><br />can also be done by factoring "bundles" of base 10, exactly the way we think of currency:<br /><br />12 + 8 + 15 + 6 + 4<br /><br />becomes<br /><br />20 + 15 + 6 + 4<br /><br />and Programming Pattyhttps://www.blogger.com/profile/03838328277067778125noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-14821978802997715852014-10-23T23:12:58.253-04:002014-10-23T23:12:58.253-04:00I'm kind of hoping that the Common Core will h...I'm kind of hoping that the Common Core will help with this kind of problem, not only in math, but also in English/writing (where the same rote-answer vs. critically-thought-out-solution-to-a-problem issue applies, though in slightly different ways -- e.g. memorizing MLA or APA style vs. understanding what a citation needs to accomplish and arranging the necessary information in the way that Contingent Cassandrahttps://www.blogger.com/profile/08161652083031423415noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-53517886742269228232014-10-23T21:08:37.226-04:002014-10-23T21:08:37.226-04:00I think I need someone to show me how to do Common...I think I need someone to show me how to do Common Core math, before the offspring starts learning it. I have had students try to teach me (they were ed majors) but I just don't get it. I am very visual when it comes to learning math and I need lots of practice. Frennahttps://www.blogger.com/profile/17126693773120200776noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-40715052125738675252014-10-23T20:34:59.429-04:002014-10-23T20:34:59.429-04:00Units were another thing that tended to stump my s...Units were another thing that tended to stump my students.<br /><br />I learned early on in freshman year statics that units in calculations have to be consistent. I got into the habit of writing them down along with the numerical values and then checking that they made sense at the end.<br /><br />Move ahead more than 15 years to when I started teaching. Did I ever get an earful from my Quarter Wave Verticalhttps://www.blogger.com/profile/03173446011323023116noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-33377482462382563522014-10-23T16:26:49.962-04:002014-10-23T16:26:49.962-04:00I recall being forced to memorize the quadratic fo...I recall being forced to memorize the quadratic formula and always wanting to know how and why it works to solve quadratic equations, but none of my math teachers would ever tell me. It was just something to memorize, but it made it impossible for me to understand or even check my work. <br /><br />When I got to college and was taught to solve quadratic equations by factoring, it was the easiest Programming Pattyhttps://www.blogger.com/profile/03838328277067778125noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-78981414292589299312014-10-23T15:49:41.674-04:002014-10-23T15:49:41.674-04:00I am guilty of this. Or maybe I am guilty of this...I am guilty of this. Or maybe I am guilty of this when it comes to things like calculus and physics. My better half and I were dating in college. We were both in physics. I was in what I now call "physics for dummies," while they were in calc. based physics. They could not help me on my homework, because I had equations and I had NO idea where the equations came from, while they Frennahttps://www.blogger.com/profile/17126693773120200776noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-62405142473700080782014-10-23T14:18:52.105-04:002014-10-23T14:18:52.105-04:00You know, of course, this is only going to get wor...You know, of course, this is only going to get worse. Pretty soon, the students won't have to know how to push a button:<br /><br />http://twistedsifter.com/videos/camera-calculator-app-instantly-solves-math-problems/Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-71702655725233707962014-10-23T14:12:28.847-04:002014-10-23T14:12:28.847-04:00Part of it is, as Rosencrantz Andor Guildenstern p...Part of it is, as Rosencrantz Andor Guildenstern pointed out, due to the fact that most people never have to develop an equation. <br /><br />Certainly, when I was learning math about 10 years before your students, I was discouraged from asking questions on WHY an equation was formatted the way it was, or WHY we needed to do a problem in this particular way. <br /><br />When I accidentally Academic Madame Librariannoreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-19112392136698235092014-10-23T10:38:20.527-04:002014-10-23T10:38:20.527-04:00I feel your pain. I am teaching a "graduate&...I feel your pain. I am teaching a "graduate" level numerical analysis class. One problem was to find the "best fit line" to some data (linear regression); it turns out that the data was world population from 2000 to 2010.<br /><br />He came up with a line of negative slope, and duly plotted the negative slope line along with the data, which, of course, trended upward every Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-42728948310638964892014-10-23T08:06:30.985-04:002014-10-23T08:06:30.985-04:00That sounds familiar. I often noticed that while ...That sounds familiar. I often noticed that while I was teaching.<br /><br />It isn't just that they see an equation as a template. They often don't understand the form.<br /><br />For example, the expression for a straight line (i. e., y = mx + b) could become completely incomprehensible to them if one changed the variables used. So, if I used, say, y = (alpha * x) + beta instead and Quarter Wave Verticalhttps://www.blogger.com/profile/03173446011323023116noreply@blogger.comtag:blogger.com,1999:blog-2883226237165701608.post-84763097033302490702014-10-23T06:19:04.344-04:002014-10-23T06:19:04.344-04:00On one level, I think you've answered your own...On one level, I think you've answered your own question. They can plug and chug an answer. This is probably all they've ever needed to do to get good math grades. I suspect it's probably easier for teachers to give clear-cut, apply-this-formula questions, than questions which test for a deeper understanding. Plug and chug questions are easier to grade, and easier for the students Rosencrantz Andor Guildensternhttps://www.blogger.com/profile/05095512139776536635noreply@blogger.com