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Common Core Subtraction

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  • F fd9750

    Common sense says: If it ain't broke, don't fix it. That's what we got here: failure to apply common sense. "Old" style mathematics got a couple of guys on the moon, lots of stuff in space and all these computers/devices we like so much. That means at least some of the old style calculations got it right. Change for the sake of change is just plain stupid.

    B Offline
    B Offline
    Blue Waffler
    wrote on last edited by
    #15

    Filip Dossche wrote:

    If it ain't broke, don't fix it.

    You have seen the educational levels of the average American right?

    1 Reply Last reply
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    • realJSOPR realJSOP

      In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

      32
      -12
      ___
       20

      This is the way Common Core teaches the same problem:

      12 + 3  = 15
      15 + 5  = 20
      20 + 10 = 30
      30 + 2  = 32
          ____
           20

      I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

      ".45 ACP - because shooting twice is just silly" - JSOP, 2010
      -----
      You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
      -----
      When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

      F Offline
      F Offline
      Forogar
      wrote on last edited by
      #16

      I think the idea is to move from the lower number to the larger number in small steps that are each easy to do: 3 + 5 = 8, 8 + 10 = 18, 18 + 2 = 20 Yay! There is the answer! The old way way was obviously way too complicated where you have to do: The "ones" column: 2 - 2 = 0 The "tens" column: 3 - 1 = 2 ...and then you wrote the "tens" answer followed by the "ones" answer to get 20 Yay! There is the answer! Of course, you could make it even easier by only incrementing the lower number by 1 until you reached the larger number and then counting how many times you had to do that. 20 Yes! That should be the new method! Much simpler! Or, for future programmers using nice round, easily remembered numbers:

      12 + 4 = 16
      16 + 8 = 24
      24 + 8 = 32
      ____
      20

      - I would love to change the world, but they won’t give me the source code.

      Z 1 Reply Last reply
      0
      • Z ZurdoDev

        I'm in the US and luckily they are not doing that where I live.

        There are only 10 types of people in the world, those who understand binary and those who don't.

        P Offline
        P Offline
        Pualee
        wrote on last edited by
        #17

        It is determined largely by partisan political motivations. To keep it lounge-safe, I'll just say that where you are is a different political side than the national political side that is giving/taking money from local political bodies for accepting or rejecting this political agenda. There... I didn't argue about politics.

        1 Reply Last reply
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        • realJSOPR realJSOP

          In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

          32
          -12
          ___
           20

          This is the way Common Core teaches the same problem:

          12 + 3  = 15
          15 + 5  = 20
          20 + 10 = 30
          30 + 2  = 32
              ____
               20

          I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

          ".45 ACP - because shooting twice is just silly" - JSOP, 2010
          -----
          You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
          -----
          When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

          S Offline
          S Offline
          Stryder_1
          wrote on last edited by
          #18

          My son's going through this now and it's driving my wife crazy. I've reviewed it and I think I understand the "why" behind it. I've started thinking I look at numbers differently than her. Most Americans learn math by memorization - flash cards, repetitive tables, etc. They don't think about what the numbers actually mean. They are stuck as they have only memorized base 10. What happens when you need to understand base 2, 8, 16, 535? The majority of Americans can't figure those out. They never had flash cards for that. However, this is teaching kids early how to understand the value of the number outside of what they have memorized.

          1 Reply Last reply
          0
          • F Forogar

            I think the idea is to move from the lower number to the larger number in small steps that are each easy to do: 3 + 5 = 8, 8 + 10 = 18, 18 + 2 = 20 Yay! There is the answer! The old way way was obviously way too complicated where you have to do: The "ones" column: 2 - 2 = 0 The "tens" column: 3 - 1 = 2 ...and then you wrote the "tens" answer followed by the "ones" answer to get 20 Yay! There is the answer! Of course, you could make it even easier by only incrementing the lower number by 1 until you reached the larger number and then counting how many times you had to do that. 20 Yes! That should be the new method! Much simpler! Or, for future programmers using nice round, easily remembered numbers:

            12 + 4 = 16
            16 + 8 = 24
            24 + 8 = 32
            ____
            20

            - I would love to change the world, but they won’t give me the source code.

            Z Offline
            Z Offline
            ZurdoDev
            wrote on last edited by
            #19

            Quote:

            Of course, you could make it even easier by only incrementing the lower number by 1 until you reached the larger number

            You can borrow my fingers if you need to. :)

            There are only 10 types of people in the world, those who understand binary and those who don't.

            F 1 Reply Last reply
            0
            • realJSOPR realJSOP

              In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

              32
              -12
              ___
               20

              This is the way Common Core teaches the same problem:

              12 + 3  = 15
              15 + 5  = 20
              20 + 10 = 30
              30 + 2  = 32
                  ____
                   20

              I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

              ".45 ACP - because shooting twice is just silly" - JSOP, 2010
              -----
              You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
              -----
              When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

              D Offline
              D Offline
              Dan Neely
              wrote on last edited by
              #20

              The more things change the more they stay the same. Some of you who have small children may have perhaps been put in the embarrassing position of being unable to do your child's arithmetic homework because of the current revolution in mathematics teaching...[^]

              Did you ever see history portrayed as an old man with a wise brow and pulseless heart, waging all things in the balance of reason? Is not rather the genius of history like an eternal, imploring maiden, full of fire, with a burning heart and flaming soul, humanly warm and humanly beautiful? --Zachris Topelius Training a telescope on one’s own belly button will only reveal lint. You like that? You go right on staring at it. I prefer looking at galaxies. -- Sarah Hoyt

              1 Reply Last reply
              0
              • J Jacquers

                You count up from 12 to 32, using easy incremental steps 12 + 3 = 15, then 15 + 5 = 20, etc util you get to 32. So it could be done shorter as well: 12 + 8 = 20 20 + 10 = 30 30 + 2 = 32 ------------ 8 + 10 + 2 = 20

                R Offline
                R Offline
                R Giskard Reventlov
                wrote on last edited by
                #21

                How is that easier than the simpler way of just saying 32 - 20 = 12. Idiots.

                "If you think it's expensive to hire a professional to do the job, wait until you hire an amateur." Red Adair. Those who seek perfection will only find imperfection nils illegitimus carborundum me, me, me me, in pictures

                1 Reply Last reply
                0
                • realJSOPR realJSOP

                  In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

                  32
                  -12
                  ___
                   20

                  This is the way Common Core teaches the same problem:

                  12 + 3  = 15
                  15 + 5  = 20
                  20 + 10 = 30
                  30 + 2  = 32
                      ____
                       20

                  I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

                  ".45 ACP - because shooting twice is just silly" - JSOP, 2010
                  -----
                  You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
                  -----
                  When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

                  B Offline
                  B Offline
                  BobJanova
                  wrote on last edited by
                  #22

                  Now I don't mean to defend this nonsense. Understanding how to subtract properly is clearly important and the 'count up in increments' method is generally longer and therefore more error prone. However, this is how people often count out change ("that's £6.52, sir" ... *hands over tenner* ... "and your change ... six fifty two, six sixty, seven, eight, ten" as he hands me the 8p, a 10p, two 20s, two £1s and a £2) and it may be a good way in for people who aren't getting it, or want a way to confirm their 'proper' subtraction is working correctly.

                  P B realJSOPR 3 Replies Last reply
                  0
                  • D Dalek Dave

                    It is almost as though they are deliberately enstupidising children.

                    --------------------------------- Obscurum per obscurius. Ad astra per alas porci. Quidquid latine dictum sit, altum videtur.

                    Mike HankeyM Online
                    Mike HankeyM Online
                    Mike Hankey
                    wrote on last edited by
                    #23

                    If we don't dumb our kids down who will work for and shop at Walmart?

                    Along with Antimatter and Dark Matter they've discovered the existence of Doesn't Matter which appears to have no effect on the universe whatsoever! Rich Tennant 5th Wave

                    1 Reply Last reply
                    0
                    • B BobJanova

                      Now I don't mean to defend this nonsense. Understanding how to subtract properly is clearly important and the 'count up in increments' method is generally longer and therefore more error prone. However, this is how people often count out change ("that's £6.52, sir" ... *hands over tenner* ... "and your change ... six fifty two, six sixty, seven, eight, ten" as he hands me the 8p, a 10p, two 20s, two £1s and a £2) and it may be a good way in for people who aren't getting it, or want a way to confirm their 'proper' subtraction is working correctly.

                      P Offline
                      P Offline
                      Pualee
                      wrote on last edited by
                      #24

                      That is well and good for counting UP in money, where you end on a larger denomination of base 10. But how will common core work on fractions and algebra/calculus, etc where you have to determine multiple variables, which may or may not be easily expressed as a base 10 whole number :omg:

                      1 Reply Last reply
                      0
                      • Z ZurdoDev

                        Quote:

                        It is almost as though they are deliberately enstupidising children.

                        Good thing you are already educated.

                        There are only 10 types of people in the world, those who understand binary and those who don't.

                        B Offline
                        B Offline
                        Bert Mitton
                        wrote on last edited by
                        #25

                        That's pronounced edumacated.

                        P 1 Reply Last reply
                        0
                        • realJSOPR realJSOP

                          In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

                          32
                          -12
                          ___
                           20

                          This is the way Common Core teaches the same problem:

                          12 + 3  = 15
                          15 + 5  = 20
                          20 + 10 = 30
                          30 + 2  = 32
                              ____
                               20

                          I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

                          ".45 ACP - because shooting twice is just silly" - JSOP, 2010
                          -----
                          You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
                          -----
                          When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

                          A Offline
                          A Offline
                          Andy Brummer
                          wrote on last edited by
                          #26

                          It isn't a better way to do the calculation. It's a different way to teach the concepts about numbers. I assume there are other later lessons that focus on memorization. I learned using similar methods and beads back in the day. http://www.momentumlearning.ca/1/post/2012/03/counting-skip-counting-and-all-things-math.html[^]

                          Curvature of the Mind now with 3D

                          1 Reply Last reply
                          0
                          • B Bert Mitton

                            That's pronounced edumacated.

                            P Offline
                            P Offline
                            PIEBALDconsult
                            wrote on last edited by
                            #27

                            Edumaciated?

                            You'll never get very far if all you do is follow instructions.

                            B 1 Reply Last reply
                            0
                            • realJSOPR realJSOP

                              In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

                              32
                              -12
                              ___
                               20

                              This is the way Common Core teaches the same problem:

                              12 + 3  = 15
                              15 + 5  = 20
                              20 + 10 = 30
                              30 + 2  = 32
                                  ____
                                   20

                              I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

                              ".45 ACP - because shooting twice is just silly" - JSOP, 2010
                              -----
                              You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
                              -----
                              When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

                              D Offline
                              D Offline
                              dan sh
                              wrote on last edited by
                              #28

                              I am not sure how this is better way. If someone claims this is helpful in real World calculations, I do not get how. I mean how can it be easy to subtract using 10 steps instead of traditional? If they are really after an alternate way, why not Vedic Maths[^]? I did a beginner course in middle school on it and did find it weird at first. But once I became habitual, it was quick. As far as this method is concerned, this[^] is what I found.

                              My CP workspace: Incredibly trivial and probably useless code samples[^]

                              P 1 Reply Last reply
                              0
                              • realJSOPR realJSOP

                                In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

                                32
                                -12
                                ___
                                 20

                                This is the way Common Core teaches the same problem:

                                12 + 3  = 15
                                15 + 5  = 20
                                20 + 10 = 30
                                30 + 2  = 32
                                    ____
                                     20

                                I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

                                ".45 ACP - because shooting twice is just silly" - JSOP, 2010
                                -----
                                You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
                                -----
                                When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

                                P Offline
                                P Offline
                                PIEBALDconsult
                                wrote on last edited by
                                #29

                                Now do

                                12

                                • 32

                                :cool: I think I saw that crap on one of my kid's math papers (7th grade) a while back. It's nonsense. We need to teach these kids 2s-complement -- it's the only true path!

                                You'll never get very far if all you do is follow instructions.

                                1 Reply Last reply
                                0
                                • realJSOPR realJSOP

                                  In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

                                  32
                                  -12
                                  ___
                                   20

                                  This is the way Common Core teaches the same problem:

                                  12 + 3  = 15
                                  15 + 5  = 20
                                  20 + 10 = 30
                                  30 + 2  = 32
                                      ____
                                       20

                                  I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

                                  ".45 ACP - because shooting twice is just silly" - JSOP, 2010
                                  -----
                                  You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
                                  -----
                                  When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

                                  R Offline
                                  R Offline
                                  Roger Wright
                                  wrote on last edited by
                                  #30

                                  ????? No wonder kids can't count back change. They're purposely trained to be morons. My theory is that this is done to distract people from realizing that the teachers are illiterate and incapable of working simple arithmetic. If anybody seriously evaluated their skills, they'd be immediately fired, and we can't afford to retrain all of them to flip burgers.

                                  Will Rogers never met me.

                                  D 1 Reply Last reply
                                  0
                                  • realJSOPR realJSOP

                                    In the U.S. we're currently suffering through "Common Core" teaching methods (I'll leave it to you to google "Common Core". Most of you remember the way we were taught to do subtraction:

                                    32
                                    -12
                                    ___
                                     20

                                    This is the way Common Core teaches the same problem:

                                    12 + 3  = 15
                                    15 + 5  = 20
                                    20 + 10 = 30
                                    30 + 2  = 32
                                        ____
                                         20

                                    I understand how they got there, but I DON'T understand how that's a better way to do it. :wtf: Maybe it's because a minus sign promotes negative thoughts about math...

                                    ".45 ACP - because shooting twice is just silly" - JSOP, 2010
                                    -----
                                    You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
                                    -----
                                    When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

                                    E Offline
                                    E Offline
                                    Ennis Ray Lynch Jr
                                    wrote on last edited by
                                    #31

                                    I use that method to help students who think subtraction is too hard, and in-fact I will sometimes use it in my head for rapid math. I definitely prefer the long-hand version when writing, however, as it is less error prone. I think the biggest gap is that most of the teaching methods now are so focused on trying to teach below average students methods of how to understand simple concepts it leaves every one else in the cold. Certainly takes quite a while to think dumb enough to understand many of the common core methods. Sadly, they make sense if you are lost or clueless but as as student who was left out to dry using the really old methods because it was too easy, I really feel for the top 55% now who will be left out with this. Private school if I ever have kids, I swear.

                                    Need custom software developed? I do custom programming based primarily on MS tools with an emphasis on C# development and consulting. "And they, since they Were not the one dead, turned to their affairs" -- Robert Frost "All users always want Excel" --Ennis Lynch

                                    P 1 Reply Last reply
                                    0
                                    • E Ennis Ray Lynch Jr

                                      I use that method to help students who think subtraction is too hard, and in-fact I will sometimes use it in my head for rapid math. I definitely prefer the long-hand version when writing, however, as it is less error prone. I think the biggest gap is that most of the teaching methods now are so focused on trying to teach below average students methods of how to understand simple concepts it leaves every one else in the cold. Certainly takes quite a while to think dumb enough to understand many of the common core methods. Sadly, they make sense if you are lost or clueless but as as student who was left out to dry using the really old methods because it was too easy, I really feel for the top 55% now who will be left out with this. Private school if I ever have kids, I swear.

                                      Need custom software developed? I do custom programming based primarily on MS tools with an emphasis on C# development and consulting. "And they, since they Were not the one dead, turned to their affairs" -- Robert Frost "All users always want Excel" --Ennis Lynch

                                      P Offline
                                      P Offline
                                      Pualee
                                      wrote on last edited by
                                      #32

                                      Spot on the money. I know a few retired teachers, including one who was only teaching 'gifted' students. In order to get the most $$ from the gov't, the schools are aiming at the lowest performing students. It doesn't matter how good the gifted students are... only how many students are above the line. The more kids you get to pass a -basic- skills test, the more $$ the school system gets. My friend watched the budget for the 'gifted' students get cut to where they couldn't even have enough teachers for accelerated classes. All the while, more teachers aids were hired to help problem students. We are becoming a society of mediocrity... and by mediocre... it is an average that has a lower bar every year.

                                      1 Reply Last reply
                                      0
                                      • D dan sh

                                        I am not sure how this is better way. If someone claims this is helpful in real World calculations, I do not get how. I mean how can it be easy to subtract using 10 steps instead of traditional? If they are really after an alternate way, why not Vedic Maths[^]? I did a beginner course in middle school on it and did find it weird at first. But once I became habitual, it was quick. As far as this method is concerned, this[^] is what I found.

                                        My CP workspace: Incredibly trivial and probably useless code samples[^]

                                        P Offline
                                        P Offline
                                        Pualee
                                        wrote on last edited by
                                        #33

                                        I homeschool my kids. My son is waaaaay ahead of grade level in math. But I don't think he enjoys it and everything is quite tedious. I would like some additional ways of approaching problem solving. I think this may be a nice fit. Thanks for the link to vedic.

                                        1 Reply Last reply
                                        0
                                        • R Roger Wright

                                          ????? No wonder kids can't count back change. They're purposely trained to be morons. My theory is that this is done to distract people from realizing that the teachers are illiterate and incapable of working simple arithmetic. If anybody seriously evaluated their skills, they'd be immediately fired, and we can't afford to retrain all of them to flip burgers.

                                          Will Rogers never met me.

                                          D Offline
                                          D Offline
                                          Dan Neely
                                          wrote on last edited by
                                          #34

                                          *cough*innumerate*cough*

                                          Did you ever see history portrayed as an old man with a wise brow and pulseless heart, waging all things in the balance of reason? Is not rather the genius of history like an eternal, imploring maiden, full of fire, with a burning heart and flaming soul, humanly warm and humanly beautiful? --Zachris Topelius Training a telescope on one’s own belly button will only reveal lint. You like that? You go right on staring at it. I prefer looking at galaxies. -- Sarah Hoyt

                                          R 1 Reply Last reply
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