How to add 9+6...

[Lutherf]

....in 3 or 4 easy steps!



Now maybe this is a dumb question but if the kid knows how to "deconstruct" the number 6 don't they already know the principle of addition? Don't they have to know the principle to figure out that 9+1 equals 10?

 

[mike2810]

....in 3 or 4 easy steps!


Now maybe this is a dumb question but if the kid knows how to "deconstruct" the number 6 don't they already know the principle of addition? Don't they have to know the principle to figure out that 9+1 equals 10?

I remember learning about base 8. It is just like base 10, but without the thumbs.:lamo

I really feel for kids today. (feeling comfortable with 10+5 but not 9+6. good grief).

 

[Your Star]

I see nothing wrong with this. Hell, that's how I add numbers up in my head to this day. Take off the excess numbers to make simple to add numbers like 20 and 40 and then pop back in those excess numbers.

 

[Deuce]

....in 3 or 4 easy steps!



Now maybe this is a dumb question but if the kid knows how to "deconstruct" the number 6 don't they already know the principle of addition? Don't they have to know the principle to figure out that 9+1 equals 10?

In teaching people to fly, we have a maneuver we teach to commercial pilot applicants called a lazy 8. It is frustrating to learn, it can be difficult for relatively new pilots and it doesn't bear any direct relationship to anything pilots do in their career. The point isn't to teach people that maneuver. The point is teaching people that maneuver forces them to develop certain smooth, coordinated control inputs that make them a better, more accurate, smoother pilot.

The point isn't that you should do math like this. The point is that this trains your brain to think about numbers in a way that results in better math skills and faster mental calculations.

As a person really, really good at doing math in my head, i look at all these "ridiculous" common core math techniques and realize that this is basically how my brain works. Parents are only mad because they weren't taught this way, so it's confusing. "My child used to be good at math and now they're frustrated." No, your child used to get good grades in math. There's a distinct difference. You suck at math, and so does your child.

The point of this exercise is not to make 9+6 easier to calculate. The point is to make 4235.63 + 7482.94 easier to calculate.

 

[Ockham]

Wait - what if I'm not comfortable with 10, what if I'm only comfortable with 3. Do we deconstruct 10 + 5 into 5 --- 3+2 and anchor 10 to the 2 then adding the 3? But then maybe we have to deconstruct 10 into 3 parts as well, because I'm comfortable with 3... so 10 ----- 3, a 6 and a 1. So now we can anchor the 3 to the other 3 - deconstruct the 6 down to an additional 3 and another 3.... and anchor to the 1 with is 4, then anchor the 4 to the other 3 and then add the two making 3+3+1+4+3+1 which is now 15.


Whew! Well that's a HELLUVA lot better than just adding 9+6=15.

 

[Redress]

....in 3 or 4 easy steps!



Now maybe this is a dumb question but if the kid knows how to "deconstruct" the number 6 don't they already know the principle of addition? Don't they have to know the principle to figure out that 9+1 equals 10?

There are two things going on in this video. One is that instead of rote memorization, it is teaching kids how to arrive at answers. The other thing is that while this example is simple, but the process works with much bigger numbers, and like YS mentioned, I use similar methods to do some math in my head, and to check my work.

I had a hippy fifth grade teacher who taught me Austrian subtraction. It was not the approved of method used in the US, but I am glad he was willing to teach us it since I find it that it reduces the chance of making mistakes. We need teachers to think of alternate ways to teach us things, and different ways to tackle problems.

 

[US Conservative]

Math and comfort are two different things. Too many adults these days can't do basic math, but feel great about it.

 

[Redress]

Wait - what if I'm not comfortable with 10, what if I'm only comfortable with 3. Do we deconstruct 10 + 5 into 5 --- 3+2 and anchor 10 to the 2 then adding the 3? But then maybe we have to deconstruct 10 into 3 parts as well, because I'm comfortable with 3... so 10 ----- 3, a 6 and a 1. So now we can anchor the 3 to the other 3 - deconstruct the 6 down to an additional 3 and another 3.... and anchor to the 1 with is 4, then anchor the 4 to the other 3 and then add the two making 3+3+1+4+3+1 which is now 15.


Whew! Well that's a HELLUVA lot better than just adding 9+6=15.

Then you where taught a different numbering system than the rest of humanity. What method of base 10 addition you are taught is the least of your problems in that case.

 

[tech30528]

Math and comfort are two different things. Too many adults these days can't do basic math, but feel great about it.

More importantly, they can fail at many other things in life and still feel comfortable about it, and the government will give them a participation reward in the form of a check they took from someone who can add. Can you feel that?

 

[Redress]

More importantly, they can fail at many other things in life and still feel comfortable about it, and the government will give them a participation reward in the form of a check they took from someone who can add. Can you feel that?

Did you know the thread had a topic? Looks like the answer to that is a resounding no.

 

[US Conservative]

More importantly, they can fail at many other things in life and still feel comfortable about it, and the government will give them a participation reward in the form of a check they took from someone who can add. Can you feel that?

Feels great. :doh You know what improves self esteem? Actually learning and mastering the subject matter. Not glitter and high fives.

 

[DifferentDrummr]

I can't help but think that this approach overcomplicates the process. This parent makes an excellent case for this when filling out her son's homework page:

http://i1.wp.com/madworldnews.com/w.../03/a_296_20140321040154-2.jpg?resize=660,842

 

[justabubba]

Then you where taught a different numbering system than the rest of humanity. What method of base 10 addition you are taught is the least of your problems in that case.

we should also be teaching the base 2 system
and then onto programming - like the chinese do for every student

that OP video was not convincing. anyone willing to take a stab at adding 9 plus 7 instead, using that technique, and please show your work

 

[Aunt Spiker]

I can't help but think that this approach overcomplicates the process. This parent makes an excellent case for this when filling out her son's homework page:

http://i1.wp.com/madworldnews.com/w.../03/a_296_20140321040154-2.jpg?resize=660,842

I remember being pissed that they were using something called ' the lattice method' - and I didn't understand it.

I - a 4.0 in college - couldn't help my daughter with her math work. Last year in the 4th grade was a nightmare for her in this subject. It broke her spirit for school, to be honest.

TEACHERS aren't helping - all too often they don't give a damn either because they're powerless to stop it. Wen the teachers are complaining - then you know something's seriously wrong.

 

[mike2810]

I see nothing wrong with this. Hell, that's how I add numbers up in my head to this day. Take off the excess numbers to make simple to add numbers like 20 and 40 and then pop back in those excess numbers.

I do the same when doing math in my head. It was the way it was worded. 10+5 or 9+6, 8+7 its all the same, comfort has nothing to do with it.

Heck I was taught that tip back in the 50's. It is not earth shatterning news.

 

[Fearandloathing]

Wait - what if I'm not comfortable with 10, what if I'm only comfortable with 3. Do we deconstruct 10 + 5 into 5 --- 3+2 and anchor 10 to the 2 then adding the 3? But then maybe we have to deconstruct 10 into 3 parts as well, because I'm comfortable with 3... so 10 ----- 3, a 6 and a 1. So now we can anchor the 3 to the other 3 - deconstruct the 6 down to an additional 3 and another 3.... and anchor to the 1 with is 4, then anchor the 4 to the other 3 and then add the two making 3+3+1+4+3+1 which is now 15.


Whew! Well that's a HELLUVA lot better than just adding 9+6=15.

You know what?

I have hated ten all my life. Eight is THE king. all construction is based on 8' centers. I would not be able to write this without 8 based digital programming, Presidential terms are a .5 8, and on and on and on.....

10 has tried to hijack this natural rule, and educators are complicit in this conspiracy. 10 has always been a burden, intruding and making life difficult. It's always 10 the retailer round up to, and breaking a $10 note is way more anxiety inducing than spending a five, a two and a one....isn't Canadian money neat. Speaking of which, 10 in Canadian money is purple....who can like that.

And then there is nine, way more popular [not as much as 7], every retail price in the world ends in 9, yet we ignore this incredibly ubiquitous number.

Nothing good can come from this and it's time 10 was put in it's humble place.

 

[mak2]

Me too. I thought everyone did, what is the issue?

I see nothing wrong with this. Hell, that's how I add numbers up in my head to this day. Take off the excess numbers to make simple to add numbers like 20 and 40 and then pop back in those excess numbers.

 

[Fearandloathing]

....in 3 or 4 easy steps!



Now maybe this is a dumb question but if the kid knows how to "deconstruct" the number 6 don't they already know the principle of addition? Don't they have to know the principle to figure out that 9+1 equals 10?

I wonder if this "advanced" teaching method has any connection to the fact that as an employer I had difficulty hiring anyone who could divide, balance a checkbook or even know how to calculate a percentage?

Anyone could figure margin was an instant hire,

 

[Lutherf]

I wonder if this "advanced" teaching method has any connection to the fact that as an employer I had difficulty hiring anyone who could divide, balance a checkbook or even know how to calculate a percentage?

Anyone could figure margin was an instant hire,

A few years back I hired 2 MBA's in accounting. Neither could manually reconcile a checkbook to a bank statement and when I referred to debit and credit accounts they kept on saying "you mean plus or minus?"

 

[Fearandloathing]

A few years back I hired 2 MBA's in accounting. Neither could manually reconcile a checkbook to a bank statement and when I referred to debit and credit accounts they kept on saying "you mean plus or minus?"

In their defence, MBA's don't need to be able to do accounting, but it does accent the problem. What if a doctor can't add? How does he calculate doses of medication?

Then there is the classic about the difference between the imperial system and metric with some worried that metric means you have to drive further.

 

[justabubba]

my wife taught art in high school
many of the students had never seen, much less knew how to use, a ruler
that was the 80's. seems things have not improved

 

[Redress]

I can't help but think that this approach overcomplicates the process. This parent makes an excellent case for this when filling out her son's homework page:

http://i1.wp.com/madworldnews.com/w.../03/a_296_20140321040154-2.jpg?resize=660,842

Frustrated Parent in the link is an idiot and no way has any kind of math background. I have nothing past a year of college calc(and that was 30 years ago) and no experience with the system and I could figure it out trivially. In fact, with that example, it shows the strength of the system and how it leads to arriving at an answer by looking at what the math means, and not just running it through a process.

 

[Redress]

we should also be teaching the base 2 system
and then onto programming - like the chinese do for every student

that OP video was not convincing. anyone willing to take a stab at adding 9 plus 7 instead, using that technique, and please show your work

Probably not as early, but yes. Do they not now? I learned some boolean in high school.

 

[Redress]

I remember being pissed that they were using something called ' the lattice method' - and I didn't understand it.

I - a 4.0 in college - couldn't help my daughter with her math work. Last year in the 4th grade was a nightmare for her in this subject. It broke her spirit for school, to be honest.

TEACHERS aren't helping - all too often they don't give a damn either because they're powerless to stop it. Wen the teachers are complaining - then you know something's seriously wrong.

I have never used the lattice method and it would take some time to learn it, but this is something teachers should do. Not as the only means, but as an alternative means that can both help learn why things work and simplify problem solving.

 

[justabubba]

Probably not as early, but yes. Do they not now? I learned some boolean in high school.

i think we need to reach them early
taught my son binary counting at age three while taking a bath, using the wall tiles as the placeholders
it was his idea; he asked how computers work and we took the off/on (0/1) switch to the next level
kids will let you know what interests them ... and if we wait too long, they will often move onto something else, causing us to miss a teaching/learning opportunity