https://www.youtube.com/watch?v=wBCmt_pJTRA
people have probably seen this already, but it still cracks me up
people have probably seen this already, but it still cracks me up
Forum > General Discussion > The "Random crap that isn't worth a thread" thread
Something you will never hear a crackhead say: "i think ive had enough crack for tonight, im gonna save the rest of this for tomorrow"
Hey seths, why do people hate Common Core so much?
I want to believe that there's a deeper reason than "I can't do my 4th graders homework". Is it really just a basic lack of understanding of mathematical principles? Have these people skimmed through life on rote memorization of math, so much so that anything deeper is witchcraft to them?
I want to believe that there's a deeper reason than "I can't do my 4th graders homework". Is it really just a basic lack of understanding of mathematical principles? Have these people skimmed through life on rote memorization of math, so much so that anything deeper is witchcraft to them?
Originally posted by Corndog
anything deeper is witchcraft to them?
yes
anything deeper is witchcraft to them?
yes
Catullus16
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Originally posted by Corndog
Hey seths, why do people hate Common Core so much?
because they think they know more about math education than math educators.
Hey seths, why do people hate Common Core so much?
because they think they know more about math education than math educators.
RIP Al Davis
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Everyone wants a double feature, they want to be their own damn teacher
Edited by RIP Al Davis on Mar 31, 2016 15:06:23
Venkman
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Originally posted by Corndog
Hey seths, why do people hate Common Core so much?
I want to believe that there's a deeper reason than "I can't do my 4th graders homework". Is it really just a basic lack of understanding of mathematical principles? Have these people skimmed through life on rote memorization of math, so much so that anything deeper is witchcraft to them?
there's a few factors. not being able to do their kids homework is a piece of it. parent often say stuff like 'i learned it just fine the old way', without realizing that they didn't actually learn it just fine. they learned the rote memorization of tables and steps, etc, but as far as deeper understanding, or ability to do stuff in their heads, no, they didn't ever really get it.
they also get bombarded with idiotic out of context memes. shit, take any of my worksheets, etc, out of context, without knowing the lessons that accompanied them, and those worksheets will look like gibberish, too.
and those ones that say shit like 'I'm a civil engineer and even I didn't understand this'.....yeah, in that case, you're a really really shitty engineer.
and yeah, give a lot of parents something like 42x16 to do, and they can show you how to set it up on paper and do it beautifully, but ask them to do it in their heads and they'll stare at you like you're a loon, whereas if they're kid learns some of the principles in common core, they'll be able to group it in their head and do something like 40x10= 400...40x6=240....400+240=640....2x16=32....640+32=672 all in their heads
note that it's very possible that my example completely bastardizes an actual common core principle. like I said, I never work with it directly, but i know 'grouping' is one of the general principles involved
Hey seths, why do people hate Common Core so much?
I want to believe that there's a deeper reason than "I can't do my 4th graders homework". Is it really just a basic lack of understanding of mathematical principles? Have these people skimmed through life on rote memorization of math, so much so that anything deeper is witchcraft to them?
there's a few factors. not being able to do their kids homework is a piece of it. parent often say stuff like 'i learned it just fine the old way', without realizing that they didn't actually learn it just fine. they learned the rote memorization of tables and steps, etc, but as far as deeper understanding, or ability to do stuff in their heads, no, they didn't ever really get it.
they also get bombarded with idiotic out of context memes. shit, take any of my worksheets, etc, out of context, without knowing the lessons that accompanied them, and those worksheets will look like gibberish, too.
and those ones that say shit like 'I'm a civil engineer and even I didn't understand this'.....yeah, in that case, you're a really really shitty engineer.
and yeah, give a lot of parents something like 42x16 to do, and they can show you how to set it up on paper and do it beautifully, but ask them to do it in their heads and they'll stare at you like you're a loon, whereas if they're kid learns some of the principles in common core, they'll be able to group it in their head and do something like 40x10= 400...40x6=240....400+240=640....2x16=32....640+32=672 all in their heads
note that it's very possible that my example completely bastardizes an actual common core principle. like I said, I never work with it directly, but i know 'grouping' is one of the general principles involved
Originally posted by Venkman
note that it's very possible that my example completely bastardizes an actual common core principle. like I said, I never work with it directly, but i know 'grouping' is one of the general principles involved
Yeah, I mean, I didn't grow up with common core, but I naturally use the grouping method in my head. It seems like a good way to break things down, and can do a fairly good job of rough estimates as well.
I've also heard that "base 10" is a pretty common thing in Common Core, whereas previously it was used (obviously) but never really explained to most people. Which makes things like binary and hex super confusing for the average person.
note that it's very possible that my example completely bastardizes an actual common core principle. like I said, I never work with it directly, but i know 'grouping' is one of the general principles involved
Yeah, I mean, I didn't grow up with common core, but I naturally use the grouping method in my head. It seems like a good way to break things down, and can do a fairly good job of rough estimates as well.
I've also heard that "base 10" is a pretty common thing in Common Core, whereas previously it was used (obviously) but never really explained to most people. Which makes things like binary and hex super confusing for the average person.
Catullus16
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Originally posted by Corndog
I've also heard that "base 10" is a pretty common thing in Common Core, whereas previously it was used (obviously) but never really explained to most people. Which makes things like binary and hex super confusing for the average person.
not to mention euclidean division in abstract algebra, modular arithmetic in number theory, modulo operations in computing, primality tests in cryptography, working with higher n-cat transcendentals, etc, etc.
if america is so bad at math, why not teach intuition? why deprive teachers of proven techniques only to whine about ineffective teaching? there are many graduates of applied sciences who suddenly find themselves at a wall because they lack the math skills, but of course no one's really going to shed a tear for the chemical engineer who took an extra year to break six figures -- though they might care when innovators stay perched around foreign universities instead of crossing the ocean to scrap for talent.
I've also heard that "base 10" is a pretty common thing in Common Core, whereas previously it was used (obviously) but never really explained to most people. Which makes things like binary and hex super confusing for the average person.
not to mention euclidean division in abstract algebra, modular arithmetic in number theory, modulo operations in computing, primality tests in cryptography, working with higher n-cat transcendentals, etc, etc.
if america is so bad at math, why not teach intuition? why deprive teachers of proven techniques only to whine about ineffective teaching? there are many graduates of applied sciences who suddenly find themselves at a wall because they lack the math skills, but of course no one's really going to shed a tear for the chemical engineer who took an extra year to break six figures -- though they might care when innovators stay perched around foreign universities instead of crossing the ocean to scrap for talent.
Cowpoker
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Originally posted by Venkman
there's a few factors. not being able to do their kids homework is a piece of it. parent often say stuff like 'i learned it just fine the old way', without realizing that they didn't actually learn it just fine. they learned the rote memorization of tables and steps, etc, but as far as deeper understanding, or ability to do stuff in their heads, no, they didn't ever really get it.
they also get bombarded with idiotic out of context memes. shit, take any of my worksheets, etc, out of context, without knowing the lessons that accompanied them, and those worksheets will look like gibberish, too.
and those ones that say shit like 'I'm a civil engineer and even I didn't understand this'.....yeah, in that case, you're a really really shitty engineer.
and yeah, give a lot of parents something like 42x16 to do, and they can show you how to set it up on paper and do it beautifully, but ask them to do it in their heads and they'll stare at you like you're a loon, whereas if they're kid learns some of the principles in common core, they'll be able to group it in their head and do something like 40x10= 400...40x6=240....400+240=640....2x16=32....640+32=672 all in their heads
note that it's very possible that my example completely bastardizes an actual common core principle. like I said, I never work with it directly, but i know 'grouping' is one of the general principles involved
I'll probably struggle with the details if the kids need help with their homework.
That being said, grouping like that is the way I always do math in my head. With your example, I took 42 x 10 to get to 420 and then basically 5 x 42 but in reality, just half of the original 420 to get 630 and then added the additional 42. In a school setting, I had no trouble with getting the answer, used to hate having to slow down and show each step of how I got there with the old fashioned math. Do the same thing with trying to figure out percentages, or dividing daily rations. Hard to give real world examples but I do things bass akwards sometimes, say a 1940 lb bull sells at auction for $1.07 a lb, I will often just take 2000 lbs x the $1.07 to get $2,140 and then subtract $60 (60 lbs x $100) to get to $2080 and then the $4.20 (7 cents x 60 lbs) to get to $2075.80. Then to figure out the 3% commission, 3 x 20 for $60 + 3 x 75 for $2.25 and if I am bored the 3 x 8 for the 2.4 cents for a total commission of $62.27.
I will likely need to read up on how they are teaching it now or I will have my kids messed up and confused. I'm sure the voices in my head have very little to do with actual math theory that smart people use.
there's a few factors. not being able to do their kids homework is a piece of it. parent often say stuff like 'i learned it just fine the old way', without realizing that they didn't actually learn it just fine. they learned the rote memorization of tables and steps, etc, but as far as deeper understanding, or ability to do stuff in their heads, no, they didn't ever really get it.
they also get bombarded with idiotic out of context memes. shit, take any of my worksheets, etc, out of context, without knowing the lessons that accompanied them, and those worksheets will look like gibberish, too.
and those ones that say shit like 'I'm a civil engineer and even I didn't understand this'.....yeah, in that case, you're a really really shitty engineer.
and yeah, give a lot of parents something like 42x16 to do, and they can show you how to set it up on paper and do it beautifully, but ask them to do it in their heads and they'll stare at you like you're a loon, whereas if they're kid learns some of the principles in common core, they'll be able to group it in their head and do something like 40x10= 400...40x6=240....400+240=640....2x16=32....640+32=672 all in their heads
note that it's very possible that my example completely bastardizes an actual common core principle. like I said, I never work with it directly, but i know 'grouping' is one of the general principles involved
I'll probably struggle with the details if the kids need help with their homework.
That being said, grouping like that is the way I always do math in my head. With your example, I took 42 x 10 to get to 420 and then basically 5 x 42 but in reality, just half of the original 420 to get 630 and then added the additional 42. In a school setting, I had no trouble with getting the answer, used to hate having to slow down and show each step of how I got there with the old fashioned math. Do the same thing with trying to figure out percentages, or dividing daily rations. Hard to give real world examples but I do things bass akwards sometimes, say a 1940 lb bull sells at auction for $1.07 a lb, I will often just take 2000 lbs x the $1.07 to get $2,140 and then subtract $60 (60 lbs x $100) to get to $2080 and then the $4.20 (7 cents x 60 lbs) to get to $2075.80. Then to figure out the 3% commission, 3 x 20 for $60 + 3 x 75 for $2.25 and if I am bored the 3 x 8 for the 2.4 cents for a total commission of $62.27.
I will likely need to read up on how they are teaching it now or I will have my kids messed up and confused. I'm sure the voices in my head have very little to do with actual math theory that smart people use.
Catullus16
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there are plenty of methods for quickly multiplying two digit numbers, most of which circle around quadratic algorithms like the grid method or (a+b)(c+d) cross-multiplication.
or in this case, if you noted that 16=2^4, you could easily just double 42 four times. or you could do egyptian multiplication (or peasant multiplication) since half the work is already done for you -- which would also work as well for larger integers, though eventually you'd want to shift to some sort of karatsuba algorithm.
but i'm guessing a skilled mental calculator would just intuitively recognize that the result is simply 2^5 ones plus 2^6 tens.
or in this case, if you noted that 16=2^4, you could easily just double 42 four times. or you could do egyptian multiplication (or peasant multiplication) since half the work is already done for you -- which would also work as well for larger integers, though eventually you'd want to shift to some sort of karatsuba algorithm.
but i'm guessing a skilled mental calculator would just intuitively recognize that the result is simply 2^5 ones plus 2^6 tens.
Cowpoker
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I have no idea what you just said. I just let the numbers bounce around until they come out.
Catullus16
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Originally posted by Cowpoker
I have no idea what you just said. I just let the numbers bounce around until they come out.
think of 42 as 4 tens and 2 ones
4 = 2^2, so that's 2^2 tens
2 = 2^1, so that's 2^1 ones
you're multiplying by 16, which is 2^4
so you have (2^4)(2^2) tens = 2^6 tens = 640
and you have (2^4)(2^1) ones = 2^5 ones = 32
and 640+32=672
I have no idea what you just said. I just let the numbers bounce around until they come out.
think of 42 as 4 tens and 2 ones
4 = 2^2, so that's 2^2 tens
2 = 2^1, so that's 2^1 ones
you're multiplying by 16, which is 2^4
so you have (2^4)(2^2) tens = 2^6 tens = 640
and you have (2^4)(2^1) ones = 2^5 ones = 32
and 640+32=672
Catullus16
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and intuitively, you could just double 16 to get 32 (for the ones) and then double again to 64 (for the tens) and then take the sum (which doesn't carry, so it's just three operations total).
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