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Common Core Subtraction

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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

    L Offline
    L Offline
    Lost User
    wrote on last edited by
    #9

    John Simmons / outlaw programmer wrote:

    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...

    Side stepping my "Why is there an S added to Lego but missing from Maths rant" And just wait until they move on into programmer roles in the future. Just imagine the length and breadth of their algorithms and functions to accomodate their Common Core stuff. Luckily you'll be retired by then, I hope I am too or at least in another industry.

    Michael Martin Australia "I controlled my laughter and simple said "No,I am very busy,so I can't write any code for you". The moment they heard this all the smiling face turned into a sad looking face and one of them farted. So I had to leave the place as soon as possible." - Mr.Prakash One Fine Saturday. 24/04/2004

    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

      F Offline
      F Offline
      fd9750
      wrote on last edited by
      #10

      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 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

        C Offline
        C Offline
        CBadger
        wrote on last edited by
        #11

        Jacquers wrote:

        You count up from 12 to 32, using easy incremental steps

        And what exactly is this "Incremental steps"? Who says you cannot count up from 12 to 32 like this? 12 + 20 = 32 » 32 - 20 = 12 or » 32 - 12 = 20 and as such 20 - 12 = 8 (How do I know that? Well take 32. 3 X 2 = 6 + 2 = 8) :rolleyes: I mean even easier still is take the original problem 32 - 12 = ? 3-1=2_ 2-2=_0 » 32 - 12 = 20 :wtf:

        Loading signature... . . . Please Wait . . .

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        • 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.

          Z Offline
          Z Offline
          ZurdoDev
          wrote on last edited by
          #12

          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 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

            Z Offline
            Z Offline
            ZurdoDev
            wrote on last edited by
            #13

            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 1 Reply Last reply
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            • 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.

              F Offline
              F Offline
              Forogar
              wrote on last edited by
              #14

              Quote:

              enstupidising

              This is my new word of the week. What? No, I don't care that it isn't a real word! It should be!

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

              1 Reply Last reply
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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
                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

                  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
                    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

                      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

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                          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

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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

                              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 Offline
                                Mike HankeyM Offline
                                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

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                                • 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

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                                      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[^]

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