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Quote to show students don't have to fear making mistakes


A Lexicon of Math MistakesThe interplay of memory and mathematical performanceSecondary Geometry Curriculum Sequencing?A Series of Unfortunate Examples!Misuse of parentheses for multiplicationCommon misconceptions in high school probability curriculumAddressing fundamental math errorsHow can I help a student who has a “wrong” kind of enthusiasm?






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I have some high school students which seem to be afraid of making mistakes. They are hesitant to make exercises in class because they want their course notes to be super clean, without any mistakes. The following has often happened in my class. A student writes (when $a$ is a positive real) $sqrt{16a^2+9a^2} = 4a+3a = 7a$. When the correct solution is shown and the mistake the student made is discussed, the student erases his mistake and writes down the correct solution. However, when studying the contents, he is not reminded of the mistake. (Which would be very valuable)



Does anyone know of a nice quote which shows that there is great learning potential in making mistakes (and figuring out why!). (Especially in math)



I know of the following quote by prof. Francis Su. A nice quote, but it's more about the value of persistence.




Struggling is a good thing… it’s where learning happens, it’s what we professors are always doing in our research… the struggle is the most interesting place to be.











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    4












    $begingroup$


    I have some high school students which seem to be afraid of making mistakes. They are hesitant to make exercises in class because they want their course notes to be super clean, without any mistakes. The following has often happened in my class. A student writes (when $a$ is a positive real) $sqrt{16a^2+9a^2} = 4a+3a = 7a$. When the correct solution is shown and the mistake the student made is discussed, the student erases his mistake and writes down the correct solution. However, when studying the contents, he is not reminded of the mistake. (Which would be very valuable)



    Does anyone know of a nice quote which shows that there is great learning potential in making mistakes (and figuring out why!). (Especially in math)



    I know of the following quote by prof. Francis Su. A nice quote, but it's more about the value of persistence.




    Struggling is a good thing… it’s where learning happens, it’s what we professors are always doing in our research… the struggle is the most interesting place to be.











    share|improve this question









    New contributor



    dietervdf is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$

















      4












      4








      4





      $begingroup$


      I have some high school students which seem to be afraid of making mistakes. They are hesitant to make exercises in class because they want their course notes to be super clean, without any mistakes. The following has often happened in my class. A student writes (when $a$ is a positive real) $sqrt{16a^2+9a^2} = 4a+3a = 7a$. When the correct solution is shown and the mistake the student made is discussed, the student erases his mistake and writes down the correct solution. However, when studying the contents, he is not reminded of the mistake. (Which would be very valuable)



      Does anyone know of a nice quote which shows that there is great learning potential in making mistakes (and figuring out why!). (Especially in math)



      I know of the following quote by prof. Francis Su. A nice quote, but it's more about the value of persistence.




      Struggling is a good thing… it’s where learning happens, it’s what we professors are always doing in our research… the struggle is the most interesting place to be.











      share|improve this question









      New contributor



      dietervdf is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$




      I have some high school students which seem to be afraid of making mistakes. They are hesitant to make exercises in class because they want their course notes to be super clean, without any mistakes. The following has often happened in my class. A student writes (when $a$ is a positive real) $sqrt{16a^2+9a^2} = 4a+3a = 7a$. When the correct solution is shown and the mistake the student made is discussed, the student erases his mistake and writes down the correct solution. However, when studying the contents, he is not reminded of the mistake. (Which would be very valuable)



      Does anyone know of a nice quote which shows that there is great learning potential in making mistakes (and figuring out why!). (Especially in math)



      I know of the following quote by prof. Francis Su. A nice quote, but it's more about the value of persistence.




      Struggling is a good thing… it’s where learning happens, it’s what we professors are always doing in our research… the struggle is the most interesting place to be.








      secondary-education students-mistakes






      share|improve this question









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      share|improve this question









      New contributor



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      share|improve this question




      share|improve this question








      edited 7 hours ago









      JoeTaxpayer

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      asked 8 hours ago









      dietervdfdietervdf

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          3 Answers
          3






          active

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          3














          $begingroup$


          • Johann Wolfgang von Goethe: "By seeking and blundering we learn."

          • Albert Einstein: "Anyone who has never made a mistake has never tried anything new."

          • Jo Boaler:
            "When I have tutored people in math, I've always started by saying, 'By the way, I just want you to know that I love mistakes the most. They are the time that your brain grows, when you really learn, so it's really great to make mistakes.' [...] people immediately relax and breathe a sigh of relief and are much more willing to jump in to problems and persist longer."






          share|improve this answer









          $endgroup$























            1














            $begingroup$

            If you know what you are doing, then you are wasting your time.



            Anonymous






            share|improve this answer









            $endgroup$























              -2














              $begingroup$

              The best way to avoid fucking up is to be experienced. The best experience is fucking up.



              -my last skipper (true story)






              share|improve this answer








              New contributor



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              $endgroup$















              • $begingroup$
                Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                $endgroup$
                – Joel Reyes Noche
                4 hours ago













              Your Answer








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              3 Answers
              3






              active

              oldest

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              3 Answers
              3






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              3














              $begingroup$


              • Johann Wolfgang von Goethe: "By seeking and blundering we learn."

              • Albert Einstein: "Anyone who has never made a mistake has never tried anything new."

              • Jo Boaler:
                "When I have tutored people in math, I've always started by saying, 'By the way, I just want you to know that I love mistakes the most. They are the time that your brain grows, when you really learn, so it's really great to make mistakes.' [...] people immediately relax and breathe a sigh of relief and are much more willing to jump in to problems and persist longer."






              share|improve this answer









              $endgroup$




















                3














                $begingroup$


                • Johann Wolfgang von Goethe: "By seeking and blundering we learn."

                • Albert Einstein: "Anyone who has never made a mistake has never tried anything new."

                • Jo Boaler:
                  "When I have tutored people in math, I've always started by saying, 'By the way, I just want you to know that I love mistakes the most. They are the time that your brain grows, when you really learn, so it's really great to make mistakes.' [...] people immediately relax and breathe a sigh of relief and are much more willing to jump in to problems and persist longer."






                share|improve this answer









                $endgroup$


















                  3














                  3










                  3







                  $begingroup$


                  • Johann Wolfgang von Goethe: "By seeking and blundering we learn."

                  • Albert Einstein: "Anyone who has never made a mistake has never tried anything new."

                  • Jo Boaler:
                    "When I have tutored people in math, I've always started by saying, 'By the way, I just want you to know that I love mistakes the most. They are the time that your brain grows, when you really learn, so it's really great to make mistakes.' [...] people immediately relax and breathe a sigh of relief and are much more willing to jump in to problems and persist longer."






                  share|improve this answer









                  $endgroup$




                  • Johann Wolfgang von Goethe: "By seeking and blundering we learn."

                  • Albert Einstein: "Anyone who has never made a mistake has never tried anything new."

                  • Jo Boaler:
                    "When I have tutored people in math, I've always started by saying, 'By the way, I just want you to know that I love mistakes the most. They are the time that your brain grows, when you really learn, so it's really great to make mistakes.' [...] people immediately relax and breathe a sigh of relief and are much more willing to jump in to problems and persist longer."







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 5 hours ago









                  Joseph O'RourkeJoseph O'Rourke

                  16.7k3 gold badges36 silver badges88 bronze badges




                  16.7k3 gold badges36 silver badges88 bronze badges




























                      1














                      $begingroup$

                      If you know what you are doing, then you are wasting your time.



                      Anonymous






                      share|improve this answer









                      $endgroup$




















                        1














                        $begingroup$

                        If you know what you are doing, then you are wasting your time.



                        Anonymous






                        share|improve this answer









                        $endgroup$


















                          1














                          1










                          1







                          $begingroup$

                          If you know what you are doing, then you are wasting your time.



                          Anonymous






                          share|improve this answer









                          $endgroup$



                          If you know what you are doing, then you are wasting your time.



                          Anonymous







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 7 hours ago









                          user52817user52817

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                          3,9519 silver badges20 bronze badges


























                              -2














                              $begingroup$

                              The best way to avoid fucking up is to be experienced. The best experience is fucking up.



                              -my last skipper (true story)






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                              • $begingroup$
                                Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                                $endgroup$
                                – Joel Reyes Noche
                                4 hours ago
















                              -2














                              $begingroup$

                              The best way to avoid fucking up is to be experienced. The best experience is fucking up.



                              -my last skipper (true story)






                              share|improve this answer








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                              $endgroup$















                              • $begingroup$
                                Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                                $endgroup$
                                – Joel Reyes Noche
                                4 hours ago














                              -2














                              -2










                              -2







                              $begingroup$

                              The best way to avoid fucking up is to be experienced. The best experience is fucking up.



                              -my last skipper (true story)






                              share|improve this answer








                              New contributor



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                              $endgroup$



                              The best way to avoid fucking up is to be experienced. The best experience is fucking up.



                              -my last skipper (true story)







                              share|improve this answer








                              New contributor



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                              share|improve this answer



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                              answered 7 hours ago









                              guestguest

                              11




                              11




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                              • $begingroup$
                                Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                                $endgroup$
                                – Joel Reyes Noche
                                4 hours ago


















                              • $begingroup$
                                Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                                $endgroup$
                                – Joel Reyes Noche
                                4 hours ago
















                              $begingroup$
                              Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                              $endgroup$
                              – Joel Reyes Noche
                              4 hours ago




                              $begingroup$
                              Could you provide a version that does not use profanity? Many schools object to teachers using socially offensive language.
                              $endgroup$
                              – Joel Reyes Noche
                              4 hours ago











                              dietervdf is a new contributor. Be nice, and check out our Code of Conduct.










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