In on common core propaganda hate thread.
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09-04-2014, 01:26 PM #31
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09-04-2014, 01:27 PM #32
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09-04-2014, 01:27 PM #33
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This is called conceptual learning, and it's how smart people generally learn. It's a larger upfront investment that pays dividends over memorization because it can be generalized and expanded.
Proving that 9+6 and 10+5 are equivalent is smart because it shows how sets and numbers work. Making bigger sets (in this case, a 10s set) makes it easier to add. So, you take 1 from the 6 and combine it with the 9 to make an easy-to-use 10.
Extrapolate this out to a harder problem, say 768+349. If you use a similar method of making these bigger sets here, this problem is easy to solve in your head. 700+300=1000, 60+40=100, 8+9=17 (or 8+9=10+7=17), so the answer is 1117. If you tried to do long-form addition in your head, this would be a pain in the ass.
This kind of thinking sets kids up to be able to do stuff like that easily, because it really is not difficult to add big numbers in your head if you learn to think about big numbers in this way.
For the record I think the overall concept of common core is dumb but teaching methods like this do make sense.My log:
http://forum.bodybuilding.com/showthread.php?t=166030441
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09-04-2014, 01:28 PM #34
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09-04-2014, 01:28 PM #35
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09-04-2014, 01:31 PM #36
I don't see what's wrong with this method. Most of us don't learn the fastest way as the first way. Sometimes it's easier to break something down into more familiar parts to fully understand before you start teaching it with speed. That is how I do multiplication problems in my head.
29x24=?
I do:
30x24=720
1x24=24
720-24=696
The technique is just round up than adjust accordingly.Repped: 100x
Modnegged: 1x
Brb deep in red, help a brother out
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09-04-2014, 01:32 PM #37
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09-04-2014, 01:33 PM #38
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09-04-2014, 01:33 PM #39
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09-04-2014, 01:34 PM #40
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09-04-2014, 01:36 PM #41
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09-04-2014, 01:36 PM #42
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09-04-2014, 01:40 PM #43
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09-04-2014, 01:40 PM #44
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09-04-2014, 01:41 PM #45
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The point is not to teach them the best way to solve 9+6, it's to teach them to solve 768+347 in 5 seconds or less. See above.
Better to practice learning how math actually works from the start rather than leave kids behind and back on them to "figure it out" later on.My log:
http://forum.bodybuilding.com/showthread.php?t=166030441
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09-04-2014, 01:41 PM #46If you can't take a joke, supplement misc,female misc, teen misc ----------->
How to get mod repped: post anywhere but on the misc or just join a rep trad...I mean SEAAAAAAAAAAAAA thread ;)
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Speak your mind, be honest, be real. We're here to have fun so don't take this place to seriously (srs)
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09-04-2014, 01:42 PM #47
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09-04-2014, 01:42 PM #48
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09-04-2014, 01:44 PM #49
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09-04-2014, 01:46 PM #50
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09-04-2014, 01:46 PM #51
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09-04-2014, 01:50 PM #52
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09-04-2014, 01:55 PM #53
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Let me tell you guys a relevant math story. Carl Gauss is a famous mathematician, in fact one of the most influential mathematicians of all time. As a child, a teacher gave him a "timeout" assignment for poor behavior. The assignment was to figure out the sum of all numbers between 1 and 100. Gauss made this the shortest time out in the history of timeouts, because in 5 seconds he produced the correct answer of 5050. How did he find the answer so quick? He figured out that you can form a pair of numbers that adds together to equal 101 (1+100, 2+99, etc.), and there are 50 pairs of numbers between 1 and 100. So, 50x101 = 5050, and Gauss had his answer. Had you given the rest of the class that assignment with the methods they knew, they would have been there for hours adding up all those numbers long-form.
The point is, why not teach every child the conceptual skills to be Gauss, why the concepts are important, and how to generalize them? The child would then be free to use his mind on so many other things, speeding his learning. Then, when the child has to add the numbers from 11 to 20, he already knows how to do it ((11+20)*5 = 155). What is the point of having the child manually add up those numbers? Is that an efficient use of anyone's time? Why even get them into that mindset when it is of such limited applicability? If you arm kids with building block concepts early on, more difficult applications become much simpler. It is like saving for retirement--your life is a little worse up front, but a lot better later on.My log:
http://forum.bodybuilding.com/showthread.php?t=166030441
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09-04-2014, 01:55 PM #54
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09-04-2014, 02:01 PM #55
Everyone who's able to do semi-complex math in their head uses this technique but for something simple involving small numbers it seems like a complete waste of time to me. I was always good at math, and hated showing my work because I viewed it as a waste of time, using the technique you just described to solve problems more easily than doing long division for things like 15 x 12. Math teachers will cringe when I say this, but getting the right answer is all that matters.
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09-04-2014, 02:02 PM #56
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If I were doing this problem, I would do:
16253+52907
= 16260+52900
= 16160 + 53000
This problem is trivial to solve. It's done in 4 steps, none of which require me to memorize carries or anything similar. IMO thinking like this better prepares for algebra as well, because you're simplifying down equivalences. It's exactly how it works. Why not teach a child to do this and solve problems simply?My log:
http://forum.bodybuilding.com/showthread.php?t=166030441
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09-04-2014, 02:04 PM #57
this method is ****ing stupid
the point of ****ing learning math is to learn the ****ing fundamentals. all this half way bull**** to save time is ****ing pointless.
we have ****ing calculators for a ****ing reason. this type of **** is for all the ****ing retards that say "ill never use math in real life why am i learning it"
god i hate this stupid ****ing earth**l**MISC GIF CREW**l**
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09-04-2014, 02:05 PM #58
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09-04-2014, 02:06 PM #59
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That seems like a strange way to do it to me, but I think it's all pretty similar.
For your example, I would just add 77 and 20 to get 97, then pick that 5 back up for 102. In your method you're doing extra work by manipulating two of the variables, and that seems like a good method to screw up something later. But if it works for you, go for it.
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09-04-2014, 02:08 PM #60
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