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Math never really clicked with me until I started studying logic because I would always try to think about things in real world terms.
We really need to find a better way to get kids interested in the abstract nature of math.
that is a tricky one.
They could introduce some parts of set theory and group theory early on. That doesn't require a foundation in calculus or even algrebra (well, at least not right away). That's more interesting abstract stuff.
is that what the whole "new math" thing in the 70's was?
I don't think so no.
Wait, what do you mean by "new math". I'm not familiar with the term.
I thought in the 70's there was a big shift in the way that math was taught, and it started focusing on set theory.
hmm, if there was it was over by the time I was in school.
When I was in high school (early 90s) I'd heard of it, but only in passing, and derisively, like that Tom Lehrer song above.
I really encountered it when I was working as a math tutor in college, because my boss was into it. He'd quietly incorporated some of the ideas into his remedial math classes (we're talking college-age students who were unable to do introductory algebra) because, well, they worked.
I don't understand how you guys (who are older than me) were not taught with those methods, as it is in many respects how I was taught math.
Maybe it went out of fashion on the sinister coast
DK thats normally a reflection of a deeper problem imo
like... a mental algorithm that does much more generalised things needs to be fixed
i think there are a lot of people who simply never learned how to learn properly in the first place, and they struggle through everything ever after
thats why i always begin with teaching every student to draw
i imagine i will probably find some people who are resistant, but even 75% of people being fully able to do it seems like an absurdly higher number than we actually observe
there is a yawning chasm between potential and achievement in mathematics, probably beyond most other subjects in size
With high school graduate math proficiency in the US and UK hovering around 30%, you'll get no argument from me that there are a substantial number of underperforming students, many of whom, like you said, never learned to learn. I still think there will be a good 20% of the population incapable anything beyond basic arithmetic.
Both of our arguments are just conjecture though. I'd love to see more hard data on the subject.
Thousands of hot, local singles are waiting to play at bubbulon.com.
DK thats normally a reflection of a deeper problem imo
like... a mental algorithm that does much more generalised things needs to be fixed
i think there are a lot of people who simply never learned how to learn properly in the first place, and they struggle through everything ever after
thats why i always begin with teaching every student to draw
i imagine i will probably find some people who are resistant, but even 75% of people being fully able to do it seems like an absurdly higher number than we actually observe
there is a yawning chasm between potential and achievement in mathematics, probably beyond most other subjects in size
With high school graduate math proficiency in the US and UK hovering around 30%, you'll get no argument from me that there are a substantial number of underperforming students, many of whom, like you said, never learned to learn. I still think there will be a good 20% of the population incapable anything beyond basic arithmetic.
Both of our arguments are just conjecture though. I'd love to see more hard data on the subject.
So I'm doing some research for a project, and I've hit a stumbling block. My online source is missing some information I need, and as far as I can tell there is only one book that contains that information. Only one rather old and obscure book published in 1957.
I looked at my university library. They have a copy of it currently available.
I am quite happy and honestly a little bit surprised.
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LudiousI just wanted a sandwich A temporally dislocated QuiznosRegistered Userregular
So I'm doing some research for a project, and I've hit a stumbling block. My online source is missing some information I need, and as far as I can tell there is only one book that contains that information. Only one rather old and obscure book published in 1957.
I looked at my university library. They have a copy of it currently available.
I am quite happy and honestly a little bit surprised.
Learn what's inside, then burn it. Jealously guard your knowledge.
elitism4lyfe
Thousands of hot, local singles are waiting to play at bubbulon.com.
0
surrealitychecklonely, but not unloveddreaming of faulty keys and latchesRegistered Userregular
basically caveman there are several things
a) if you believe that intelligence/talent are fixed, inherent qualities you will do less well at school than if you believe they are something you develop through hard work (literally - see carol dweck on this)
b) if you are praised for achievement rather than effort, you will seek easy tasks that you can accomplish without much trouble in order to maintain the level of praise and avoid hard things (dweck again)
c) if you are taught that failure is a "bad" thing then you will avoid things you find hard and it will take you much, much longer to fix the erroneous parts of your mind
learning to learn is about coming to understand how to deal with being bad at things, how to repeat things you find hard that you keep failing at with the eventual goal of succeeding, how to appreciate the delayed gratification of overcoming your own limitations.
the first thing i do with any of my students is teach them how to draw (unless they are pretty damn good already, but thats a small number of cases).
i sit them down and ask them to draw a starkly lit face. when they have finished, i ask them how they feel about drawing, and their ability at it, and about talent and so on
what i tend to find is that 90% of people believe they lack the "talent" for art, they are naturally bad, theres no point in them trying because they will never be good - they just lack the special art gene.
then i tell them to draw the shadows, with a quick demonstration.
their second drawing is normally unrecognisably better than the first. its almost absurd how dramatic the difference is. the most important thing is that they take something they believe they are terrible at, and suddenly understand that a simple perspective shift can result in dramatic improvements - and that what they had wrong before was the approach, not their mind.
the point is to take them through the essential stages of learning while they are conscious of what it is they will actually be feeling at each stage. learning to learn is about being aware of your own emotional state, because you have to manage your frustration and interest and all these other things or you cannot do it. and this self-discipline is absolutely something that is learned and something that should be learned and i am astonished that schools spend so little time actually teaching people about learning.
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ElldrenIs a woman dammitceterum censeoRegistered Userregular
Wow, ME3 on the Xbox is 40 bucks at the Microsoft store with free UPS shipping (link) (note, you have to add it to your cart to see the price).
I didn't want to pick it up until I finished my 2nd playthrough of ME2, but it's tempting.
And Gears 3 is $30 and Final Fantasy XIII-2 is $25 on eBay (buy it now, so no worries about the price rising). There are so many great deals and I really regret shelling out $30 for Dynasty Warriors 6 + DW6: Empire.
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ElldrenIs a woman dammitceterum censeoRegistered Userregular
a) if you believe that intelligence/talent are fixed, inherent qualities you will do less well at school than if you believe they are something you develop through hard work (literally - see carol dweck on this)
b) if you are praised for achievement rather than effort, you will seek easy tasks that you can accomplish without much trouble in order to maintain the level of praise and avoid hard things (dweck again)
c) if you are taught that failure is a "bad" thing then you will avoid things you find hard and it will take you much, much longer to fix the erroneous parts of your mind
learning to learn is about coming to understand how to deal with being bad at things, how to repeat things you find hard that you keep failing at with the eventual goal of succeeding, how to appreciate the delayed gratification of overcoming your own limitations.
the first thing i do with any of my students is teach them how to draw (unless they are pretty damn good already, but thats a small number of cases).
i sit them down and ask them to draw a starkly lit face. when they have finished, i ask them how they feel about drawing, and their ability at it, and about talent and so on
what i tend to find is that 90% of people believe they lack the "talent" for art, they are naturally bad, theres no point in them trying because they will never be good - they just lack the special art gene.
then i tell them to draw the shadows, with a quick demonstration.
their second drawing is normally unrecognisably better than the first. its almost absurd how dramatic the difference is. the most important thing is that they take something they believe they are terrible at, and suddenly understand that a simple perspective shift can result in dramatic improvements - and that what they had wrong before was the approach, not their mind.
the point is to take them through the essential stages of learning while they are conscious of what it is they will actually be feeling at each stage. learning to learn is about being aware of your own emotional state, because you have to manage your frustration and interest and all these other things or you cannot do it. and this self-discipline is absolutely something that is learned and something that should be learned and i am astonished that schools spend so little time actually teaching people about learning.
this this this
note that a) still applies even if you are constantly told you are very intelligent/talented
Posts
To be fair, Owl City is really bleh.
I don't understand how you guys (who are older than me) were not taught with those methods, as it is in many respects how I was taught math.
Maybe it went out of fashion on the sinister coast
Gangrene.
Equip your steak knife and select your ankle.
just a factual statement.
noooooooo
*Checks watch*
Now you must select the point just below your knee.
I advise haste.
With high school graduate math proficiency in the US and UK hovering around 30%, you'll get no argument from me that there are a substantial number of underperforming students, many of whom, like you said, never learned to learn. I still think there will be a good 20% of the population incapable anything beyond basic arithmetic.
Both of our arguments are just conjecture though. I'd love to see more hard data on the subject.
Whaaa?
Well then I die with two great looking legs!
nah, they'll be all ugly and half-rotted
The three of you will be mourned.
artificial legs
I didn't want to pick it up until I finished my 2nd playthrough of ME2, but it's tempting.
I looked at my university library. They have a copy of it currently available.
I am quite happy and honestly a little bit surprised.
Learn what's inside, then burn it. Jealously guard your knowledge.
elitism4lyfe
a) if you believe that intelligence/talent are fixed, inherent qualities you will do less well at school than if you believe they are something you develop through hard work (literally - see carol dweck on this)
b) if you are praised for achievement rather than effort, you will seek easy tasks that you can accomplish without much trouble in order to maintain the level of praise and avoid hard things (dweck again)
c) if you are taught that failure is a "bad" thing then you will avoid things you find hard and it will take you much, much longer to fix the erroneous parts of your mind
learning to learn is about coming to understand how to deal with being bad at things, how to repeat things you find hard that you keep failing at with the eventual goal of succeeding, how to appreciate the delayed gratification of overcoming your own limitations.
the first thing i do with any of my students is teach them how to draw (unless they are pretty damn good already, but thats a small number of cases).
i sit them down and ask them to draw a starkly lit face. when they have finished, i ask them how they feel about drawing, and their ability at it, and about talent and so on
what i tend to find is that 90% of people believe they lack the "talent" for art, they are naturally bad, theres no point in them trying because they will never be good - they just lack the special art gene.
then i tell them to draw the shadows, with a quick demonstration.
their second drawing is normally unrecognisably better than the first. its almost absurd how dramatic the difference is. the most important thing is that they take something they believe they are terrible at, and suddenly understand that a simple perspective shift can result in dramatic improvements - and that what they had wrong before was the approach, not their mind.
the point is to take them through the essential stages of learning while they are conscious of what it is they will actually be feeling at each stage. learning to learn is about being aware of your own emotional state, because you have to manage your frustration and interest and all these other things or you cannot do it. and this self-discipline is absolutely something that is learned and something that should be learned and i am astonished that schools spend so little time actually teaching people about learning.
for instance, I don't really love bands like neon indian or washed out, but they're good and if they're playing I'll enjoy it!
And Gears 3 is $30 and Final Fantasy XIII-2 is $25 on eBay (buy it now, so no worries about the price rising). There are so many great deals and I really regret shelling out $30 for Dynasty Warriors 6 + DW6: Empire.
this this this
note that a) still applies even if you are constantly told you are very intelligent/talented
Conway's game of life is such that any one state has only one possible future state but multiple possible past states
What is this called?
if people praise you for your intelligence rather than your effort you will avoid anything that makes you seem stupid and thus lose the praise
its the most terrible of all things you can do to somebody - praise their inherent qualities, and not their effort
yet countless parents do it, setting their children up for shitty times
that sounds like a really terrible rules variant
Like, not that the game of life is that much fun but that would make it so much worse
Bahaha. Waiting pays off! I was a little annoyed I had dragged my feet and didn't get it for $50 at Newegg but this is even better.
I know
I know this firsthand
every time somebody tells me that I'm sooo intelligent I feel like shit
I would rather spend an evening playing Conway's game of life than Milton Bradley's Game of Life.
sarif propaganda
you gotta learn to learn the learn
And you said I was crazy.
CRAZY LIKE A FOX
Whateva!