New around here? Register your SA Forums Account here!

You can: log in, read the tech support FAQ, or request your lost password. This dumb message (and those ads) will appear on every screen until you register! Get rid of this crap by registering your own SA Forums Account and joining roughly 150,000 Goons, for the one-time price of $10! We charge money because it costs us money per month for bills alone, and since we don't believe in shady internet advertising, we try to make the money back through forum registrations.
 
  • Locked thread
JerryLee
Feb 4, 2005

THE RESERVED LIST! THE RESERVED LIST! I CANNOT SHUT UP ABOUT THE RESERVED LIST!
Like there's more than one way to derive a correct answer, I get that, but what makes this poo poo better or more effective

Also is there a reason for calling equations number sentences other than hip buzzword rebranding

Adbot
ADBOT LOVES YOU

Design Spots
Jan 24, 2009

by XyloJW

JerryLee posted:

Like there's more than one way to derive a correct answer, I get that, but what makes this poo poo better or more effective

Also is there a reason for calling equations number sentences other than hip buzzword rebranding

But but, if y was z all along what the gently caress man

mabels big day
Feb 25, 2012

Math should be taught as an art.

Moridin920
Nov 15, 2007

by FactsAreUseless
so it's

add 26 + 17: add 4 to make the 26 into 30 and subtract the 4 from the 17 to get 13 and add it to 30 to get 43.

vs

add 26+17: add 20+10=30, then 6+7=13 add the 30 and 13 to get 43

the second way seems faster but that's how I was taught so maybe it doesn't really matter in the end. It seems like adding new numbers like 4 and 13 into the mix is inherently slower, but maybe it also gets kids to practice basic addition and subtraction more in their heads by adding a step?

Moridin920 fucked around with this message at 22:25 on May 25, 2014

Concerned Citizen
Jul 22, 2007
Ramrod XTreme

Moridin920 posted:

i'm pretty sure it's faster to add 26 + 17 in your head by going 20+10 = 30 then plus 13 from the 6 and the 7 is 43 than introducing loving 4 and 13 into the mix. I get what they are doing but what is the reasoning behind that it seems like they are teaching people to think with roadblocks in the way or something.

it's not supposed to be faster. this is used to illustrate the concept, it doesn't replace the old method of subtraction

Accretionist
Nov 7, 2012
I BELIEVE IN STUPID CONSPIRACY THEORIES

Gulzin posted:

Wrong..
I didn't say how, I said why. What algebraic property are you using?

Who actually remembers the properties names, though? I just picture stuff as piles of relationships.

Like I'd write A*D with an arrow connecting A to D and turn it into (A*B)*D, turn that into (A*B)*(C*D) and with each split I'd split the arrows. Then I'd have four arrows between the following variable pairings: first, outer, inner and last.

I typed all that out because that's how I'd like to see it taught. All I ever got was a depressed person telling us the FOIL method and if you didn't know how to straighten out one of the jumbled up homework problems enough to actually apply the FOIL method, you'd just have it repeated to you by said depressed person as though it were the thing itself to be understood.

I was math retarded until I started visualizing it all, yet 'visualizing' runs contrary to how math was taught from algebra on.


Tuxedo Catfish posted:

i'm undecided, teaching people to use mental shortcuts and to understand underlying concepts is well and good but "math sentences" is a loving abomination

i'd be curious to see what the equivalent reform for gradeschool / highschool english is though

Linear arrangements of words

Al Cowens
Aug 11, 2004

by WE B Bourgeois

Moridin920 posted:

i'm pretty sure it's faster to add 26 + 17 in your head by going 20+10 = 30 then plus 13 from the 6 and the 7 is 43 than introducing loving 4 and 13 into the mix. I get what they are doing but what is the reasoning behind that it seems like they are teaching people to think with roadblocks in the way or something.
It makes perfect sense in base 17, which all civilized countries teach their children to do arithmetic in.

You'd do even better by having typing lessons based on Dvorak keyboard layouts, enforcing reverse polish notation, and conducting classes in Esperanto.

I'm insane. Put me on ignore.

Previous Jesus
Jun 5, 2013
I get what they're trying to accomplish but I'm not sure how effective their teaching methods actually are. The arbitrary replacement of old terms with new terms like "number sentences" is pretty dumb imo.

I actually do add and multiply numbers in I guess a similar way to how they're trying to teach it so maybe it's not totally bad. I'm fresh out of high school and in my experience regular ed are mostly pretty bad at math and are really bad at understanding why certain things work in math so I can see where the motivation for this is coming from.

gary oldmans diary
Sep 26, 2005

Concerned Citizen posted:

it's not supposed to be faster. this is used to illustrate the concept, it doesn't replace the old method of subtraction
and illustrating the concept in remedial terms the student would rather forget because they get it now gets to be a teach to the test hallmark of math education

D1Sergo
May 4, 2006

Be sure to take a 15-minute break every hour.
I guess they make it a little overcomplicated to me its just 26 + 17 = 30 + 13 = 43. They're kind of over explaining it.

Moridin920
Nov 15, 2007

by FactsAreUseless
seems like math class is getting harder, good thing I'm not children anymore I guess

Concerned Citizen
Jul 22, 2007
Ramrod XTreme

gary oldmans diary posted:

and illustrating the concept in remedial terms the student would rather forget because they get it now gets to be a teach to the test hallmark of math education

that has nothing to do with common core though and everything to do with 'ed reformers' that insist we must test everything because education should be run like a $100m business, including usage of as many meaningless buzzwords as possible

Design Spots
Jan 24, 2009

by XyloJW

Moridin920 posted:

so it's

add 26 + 17: add 4 to make the 26 into 30 and subtract the 4 from the 17 to get 13 and add it to 30 to get 43.

vs

add 26+17: add 20+10=30, then 6+7=13 add the 30 and 13 to get 43

the second way seems faster but that's how I was taught so maybe it doesn't really matter in the end. It seems like adding new numbers like 4 and 13 into the mix is inherently slower, but maybe it also gets kids to practice basic addition and subtraction more in their heads by adding a step?

Al Cowens
Aug 11, 2004

by WE B Bourgeois

Sauer
Sep 13, 2005

Socialize Everything!
Teaching students the reason that math works does seem really important. I'm still going to get my phone out to calculate anything with more than two digits in it, but I certainly see the value of knowing why one plus one is two.

Moridin920
Nov 15, 2007

by FactsAreUseless

well yeah but some people have trouble with numbers in their heads

DSauer posted:

Teaching students the reason that math works does seem really important. I'm still going to get my phone out to calculate anything with more than two digits in it, but I certainly see the value of knowing why one plus one is two.

it teaches you to not be a idiotfucker in general. like grasping mathematical concepts also helps you to understand basic logic and things like that, and plus just learning in general encourages neural efficiency in the brain so it'd be nice if people didn't just go 'gently caress it, they're not testing well, let's just throw out the hard poo poo and make the easy poo poo as easy as snapping blocks together!' in response to the education problem.

Moridin920 fucked around with this message at 22:33 on May 25, 2014

Design Spots
Jan 24, 2009

by XyloJW

DSauer posted:

Teaching students the reason that math works does seem really important. I'm still going to get my phone out to calculate anything with more than two digits in it, but I certainly see the value of knowing why one plus one is two.

lol blacknerry user spotted

mabels big day
Feb 25, 2012

Just loving teach them philosophy then

Design Spots
Jan 24, 2009

by XyloJW

Moridin920 posted:

well yeah but some people have trouble with numbers in their heads

same if you put an irrational num,ber in the there you end up with illegal prime numbers, which is never explained

Design Spots
Jan 24, 2009

by XyloJW
an illegal number exists in this world, after all the other ones aren't

Design Spots
Jan 24, 2009

by XyloJW
https://www.youtube.com/watch?v=h2JWJYLNUq4

gary oldmans diary
Sep 26, 2005

Previous Jesus posted:

The arbitrary replacement of old terms with new terms like "number sentences" is pretty dumb imo.
number sentences arent just a cut and paste replacement theyre their own form of problem with their own syntax to memorize that is completely useless for the student if the teacher is able to teach something as simple as why you carry a 1 to the next digit place

so students now get to learn that they arent just jaded -a lot of what theyre being taught really is meant to be uselessly obsolete and discarded
but who ever think loving around teaching kids bullshit would ever backfire in any way im sure theyll love this it will help with calculus

the old ways didnt work except for all that time that they did
merica gonna reinvent math for you all :patriot:

Sauer
Sep 13, 2005

Socialize Everything!

Design Spots posted:

lol blacknerry user spotted

Now I want to know if the calculator app that comes with Android uses floating point numbers for calculating real numbers or if it uses a Decimal library instead. Are you just cheaping out and giving me approximate results Google or the real deal? Just what is one divide by three Google, huh?

Design Spots
Jan 24, 2009

by XyloJW
take me know no questions asked, strip away the ugliness

Moridin920
Nov 15, 2007

by FactsAreUseless
just teach the kids stupid poo poo that way the test scores will go up and the yuppies shut up

they don't need to know anything about anything except how to operate the factories

the upper class kids get the good schools that teach them about carrying digits

Sauer
Sep 13, 2005

Socialize Everything!
Implement the Korean method of teaching.

Design Spots
Jan 24, 2009

by XyloJW
wall streets gettinng a free pass on electronic trading that happens in the future, so youre hosed

gary oldmans diary
Sep 26, 2005

Concerned Citizen posted:

that has nothing to do with common core though and everything to do with 'ed reformers' that insist we must test everything because education should be run like a $100m business, including usage of as many meaningless buzzwords as possible
no but its gonna serve to show how loving stupid this poo poo is by really driving home how stupid it is to constantly demonstrate that you get why something works long after you get it

Design Spots
Jan 24, 2009

by XyloJW
i miss everything about you

Sauer
Sep 13, 2005

Socialize Everything!
I really like geometry but the way you're taught it is loving retarded. Here's a bunch of formulas to remember but we're not going to tell you why they work!

dee eight
Dec 18, 2002

The Spirit
of Maynard

:catdrugs:

Design Spots posted:

America is hosed.

I'll take 'preaching to the choir' for 200, Alex

Sauer
Sep 13, 2005

Socialize Everything!
Is this another thing where we should just be copying the way its done in Europe but won't because there's not enough profit in it and SOCIALISM!!!

Design Spots
Jan 24, 2009

by XyloJW

dee eight posted:

I'll take 'preaching to the choir' for 200, Alex

This battle caused the region became known as the "Northmen" from which "Normandy" and "Normans" are derived.

Animal-Mother
Feb 14, 2012

RABBIT RABBIT
RABBIT RABBIT
Ingsoc Newspeak developed unironically by our idiot academic shitlords.

Moridin920
Nov 15, 2007

by FactsAreUseless

Animal-Mother posted:

Ingsoc Newspeak developed unironically by our idiot academic shitlords.

icantfindaname
Jul 1, 2008

comes along bort posted:

kids should start with set theory to explain integration then add in all the algebra and high school arithmetic bullshit as necessary

http://youtube.com/watch?feature=kp&v=Vetg7vWitTU

icantfindaname fucked around with this message at 22:47 on May 25, 2014

gary oldmans diary
Sep 26, 2005

DSauer posted:

I really like geometry but the way you're taught it is loving retarded. Here's a bunch of formulas to remember but we're not going to tell you why they work!
it was awesome in school when we actually went over how the quadratic equation was a simple reduction of unknowns that we could easily create ourselves
i mean it was a simple intro to that days lesson closely following the lesson plan laid out in the textbook but

...according to common core proponents and advocates of new-history-of-math-education that never happened because american standards have never been as high as that or as high as they are right now and thus we need common core to reach new peaks of excellence

AMERICA #1

dee eight
Dec 18, 2002

The Spirit
of Maynard

:catdrugs:

Design Spots posted:

This battle caused the region became known as the "Northmen" from which "Normandy" and "Normans" are derived.

What is muddle puddle tweetle poodle beetle noodle
bottle paddle battle?

Tacky-Ass Rococco
Sep 6, 2010

by R. Guyovich
So somebody posted a paper by one of America's leading mathematicians giving specific examples of how the old new math was hosed, nobody in this thread appears to be in the field of pedagogical research, but half the posters here are confident that the old system was fine and that innumeracy in this country can be blamed on the stupidity of the youth today/Americans in general. Okay then.

Adbot
ADBOT LOVES YOU

circ dick soleil
Sep 26, 2012

by zen death robot
IMO we should teach kids different ways to do simple math so that they can figure out which one works best and is quickest to do in their head.

  • Locked thread