<html>
  <head>
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
  </head>
  <body>
    <br>
    <blockquote type="cite"
cite="mid:CAA5dAfqF2ZEYrvCYEfETn6Jj_WEapWaXjP2hiYTuyFzWjT4VOg@mail.gmail.com">
      <meta http-equiv="content-type" content="text/html; charset=UTF-8">
      <div dir="auto">
        <div>By the way, my daughter's title in the Secretary of Public
          Education Office is Financial Technician.  I can multiply two
          2 digit numbers mentally pretty fast.  </div>
        <div dir="auto"><br>
        </div>
        <div dir="auto">Frank</div>
      </div>
    </blockquote>
    I so know the massive slowdown when I go from 2-3 digits (even 2x3)
    multiplication...   it goes from something mostly intuitive and
    barely notational to worse than 50/50 and then acutely beyond if I
    go to more digits, though not linear with quantity, superlinear with
    exponent/digits.<br>
    <blockquote type="cite"
cite="mid:CAA5dAfqF2ZEYrvCYEfETn6Jj_WEapWaXjP2hiYTuyFzWjT4VOg@mail.gmail.com">
      <div dir="auto">
        <div><br>
        </div>
        <div data-smartmail="gmail_signature">---<br>
          Frank C. Wimberly<br>
          140 Calle Ojo Feliz, <br>
          Santa Fe, NM 87505<br>
          <br>
          505 670-9918<br>
          Santa Fe, NM</div>
      </div>
      <br>
      <div class="gmail_quote">
        <div dir="ltr" class="gmail_attr">On Thu, Aug 8, 2024, 7:11 AM
          Edward Angel <<a href="mailto:angel@cs.unm.edu"
            moz-do-not-send="true" class="moz-txt-link-freetext">angel@cs.unm.edu</a>>
          wrote:<br>
        </div>
        <blockquote class="gmail_quote" style="margin:0 0 0
          .8ex;border-left:1px #ccc solid;padding-left:1ex">
          <div style="line-break:after-white-space">
            <div>The following is hard to believe but true.</div>
            <div><br>
            </div>
            Last weekend, I was in line at Walgreens. The older woman in
            front of me gave the cashier a $20 bill for a $13.54
            purchase. The young cashier was completely unable to figure
            out the correct change. After a couple of failed tries, the
            older woman tried to teach the cashier how to subtract
            $13.54 from $20 but that was a failure. She then tried to
            get the casher to add to $13.54 until the cashier reach $20.
            When that failed, she helped the cashier add small change
            and dollars until she got to $6.46.
            <div><br>
            </div>
            <div>I don’t think giving everyone a calculator is the
              solution.</div>
            <div><br>
            </div>
            <div>Ed<br
                id="m_8634951496365189856lineBreakAtBeginningOfMessage">
              <div>
                <span
style="border-collapse:separate;color:rgb(0,0,0);font-family:Helvetica;font-style:normal;font-variant:normal;font-weight:normal;letter-spacing:normal;line-height:normal;text-align:-webkit-auto;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px"><span
style="border-collapse:separate;color:rgb(0,0,0);font-family:Helvetica;font-style:normal;font-variant:normal;font-weight:normal;letter-spacing:normal;line-height:normal;text-align:-webkit-auto;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px">
                    <div>_______________________</div>
                    <div><br>
                      Ed Angel<br>
                      <br>
                    </div>
                    <div>Founding Director, Art, Research, Technology
                      and Science Laboratory (ARTS Lab)<br>
                      Professor Emeritus of Computer Science, University
                      of <a
href="https://www.google.com/maps/search/New+Mexico+1017+Sierra+Pinon+Santa+Fe,+NM+87501?entry=gmail&source=g"
                        moz-do-not-send="true">New Mexico</a><br>
                      <br>
                      <a
href="https://www.google.com/maps/search/New+Mexico+1017+Sierra+Pinon+Santa+Fe,+NM+87501?entry=gmail&source=g"
                        moz-do-not-send="true">1017 Sierra Pinon</a></div>
                    <div><a
href="https://www.google.com/maps/search/New+Mexico+1017+Sierra+Pinon+Santa+Fe,+NM+87501?entry=gmail&source=g"
                        moz-do-not-send="true">Santa Fe, NM 87501</a><br>
                      505-984-0136 (home)<span style="white-space:pre-wrap">            </span> <span style="white-space:pre-wrap">      </span><a
                        href="mailto:angel@cs.unm.edu" target="_blank"
                        rel="noreferrer" moz-do-not-send="true"
                        class="moz-txt-link-freetext">angel@cs.unm.edu</a></div>
                    <div>505-453-4944 (cell) <span style="white-space:pre-wrap"> </span><span style="white-space:pre-wrap">                        </span><a
                        href="http://www.cs.unm.edu/~angel"
                        target="_blank" rel="noreferrer"
                        moz-do-not-send="true"
                        class="moz-txt-link-freetext">http://www.cs.unm.edu/~angel</a><br>
                    </div>
                  </span></span>
              </div>
              <div><br>
                <blockquote type="cite">
                  <div>On Aug 7, 2024, at 9:28 PM, Frank Wimberly <<a
                      href="mailto:wimberly3@gmail.com" target="_blank"
                      rel="noreferrer" moz-do-not-send="true"
                      class="moz-txt-link-freetext">wimberly3@gmail.com</a>>
                    wrote:</div>
                  <br>
                  <div>
                    <div dir="auto">
                      <div>I'm not sure my 30+ year old daughter knows
                        the times tables.  She works for the Secretary
                        of Public Education. If you ask her about it she
                        will say she uses calculators and spreadsheets. 
                        I think.</div>
                      <div><br>
                      </div>
                      <div data-smartmail="gmail_signature">---<br>
                        Frank C. Wimberly<br>
                        <a
href="https://www.google.com/maps/search/140+Calle+Ojo+Feliz,++Santa+Fe,+NM+87505?entry=gmail&source=g"
                          moz-do-not-send="true">140 Calle Ojo Feliz, </a><br>
                        <a
href="https://www.google.com/maps/search/140+Calle+Ojo+Feliz,++Santa+Fe,+NM+87505?entry=gmail&source=g"
                          moz-do-not-send="true">Santa Fe, NM 87505</a><br>
                        <br>
                        505 670-9918<br>
                        Santa Fe, NM</div>
                    </div>
                    <br>
                    <div class="gmail_quote">
                      <div dir="ltr" class="gmail_attr">On Wed, Aug 7,
                        2024, 9:12 PM Russell Standish <<a
                          href="mailto:lists@hpcoders.com.au"
                          target="_blank" rel="noreferrer"
                          moz-do-not-send="true"
                          class="moz-txt-link-freetext">lists@hpcoders.com.au</a>>
                        wrote:<br>
                      </div>
                      <blockquote class="gmail_quote" style="margin:0 0
                        0 .8ex;border-left:1px #ccc
                        solid;padding-left:1ex">It is a test that you
                        know your 7 or 8 times table. And the definition<br>
                        of a prime number (which could be given as part
                        of the question, if<br>
                        not the curriculum).<br>
                        <br>
                        I would expect most 9 or 10 years olds should
                        know their times tables.<br>
                        <br>
                        Or am I wrong abut kids these days?<br>
                        <br>
                        On Mon, Jul 22, 2024 at 12:43:54PM -0600, Tom
                        Johnson wrote:<br>
                        > Ms. O'Hara:<br>
                        > <br>
                        > RE your story Sunday, "Does proficiency
                        give full picture?"<br>
                        > From your lede:<br>
                        > "Pop quiz: What number is both a prime
                        number and a factor or 56"?<br>
                        > <br>
                        > If I understand correctly, this is a
                        question on an exam given to fourth<br>
                        > graders, 9- or 10-year-olds.<br>
                        > Could you please point me to some source in
                        the city or state education<br>
                        > departments who can tell me what short- or
                        long-term value this question about<br>
                        > mathematics -- NOT arithmetic -- has for
                        students that age?<br>
                        > <br>
                        > We live in a state where it is a rare
                        cashier who can do the mental<br>
                        > arithmetic to make change from a $20 bill.
                        Can we first find out if fourth<br>
                        > graders can do that before getting into
                        primes and factorials?<br>
                        > *--<br>
                        >
                        ============================================<br>
                        > Tom Johnson - <a
                          href="mailto:tom@jtjohnson.com"
                          rel="noreferrer noreferrer" target="_blank"
                          moz-do-not-send="true"
                          class="moz-txt-link-freetext">tom@jtjohnson.com</a><br>
                        > Institute for Analytic Journalism   --    
                        Santa Fe, NM USA<br>
                        > 505.577.6482(c)                         
                                  505.473.9646(h)<br>
                        > Visit Global Santa Fe<br>
                        >
                        ============================================<br>
                        <br>
                        > -. --- - / ...- .- .-.. .. -.. / -- --- .-.
                        ... . / -.-. --- -.. .<br>
                        > FRIAM Applied Complexity Group listserv<br>
                        > Fridays 9a-12p Friday St. Johns Cafe   / 
                         Thursdays 9a-12p Zoom <a
                          href="https://bit.ly/virtualfriam"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">https://bit.ly/virtualfriam</a><br>
                        > to (un)subscribe <a
                          href="http://redfish.com/mailman/listinfo/friam_redfish.com"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
                        > FRIAM-COMIC <a
                          href="http://friam-comic.blogspot.com/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://friam-comic.blogspot.com/</a><br>
                        > archives:  5/2017 thru present <a
                          href="https://redfish.com/pipermail/friam_redfish.com/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">https://redfish.com/pipermail/friam_redfish.com/</a><br>
                        >   1/2003 thru 6/2021  <a
                          href="http://friam.383.s1.nabble.com/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://friam.383.s1.nabble.com/</a><br>
                        <br>
                        <br>
                        -- <br>
                        <br>
----------------------------------------------------------------------------<br>
                        Dr Russell Standish                    Phone
                        0425 253119 (mobile)<br>
                        Principal, High Performance Coders     <a
                          href="mailto:hpcoder@hpcoders.com.au"
                          rel="noreferrer noreferrer" target="_blank"
                          moz-do-not-send="true"
                          class="moz-txt-link-freetext">hpcoder@hpcoders.com.au</a><br>
                                              <a
                          href="http://www.hpcoders.com.au/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://www.hpcoders.com.au</a><br>
----------------------------------------------------------------------------<br>
                        <br>
                        -. --- - / ...- .- .-.. .. -.. / -- --- .-. ...
                        . / -.-. --- -.. .<br>
                        FRIAM Applied Complexity Group listserv<br>
                        Fridays 9a-12p Friday St. Johns Cafe   / 
                         Thursdays 9a-12p Zoom <a
                          href="https://bit.ly/virtualfriam"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">https://bit.ly/virtualfriam</a><br>
                        to (un)subscribe <a
                          href="http://redfish.com/mailman/listinfo/friam_redfish.com"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
                        FRIAM-COMIC <a
                          href="http://friam-comic.blogspot.com/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://friam-comic.blogspot.com/</a><br>
                        archives:  5/2017 thru present <a
                          href="https://redfish.com/pipermail/friam_redfish.com/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">https://redfish.com/pipermail/friam_redfish.com/</a><br>
                          1/2003 thru 6/2021  <a
                          href="http://friam.383.s1.nabble.com/"
                          rel="noreferrer noreferrer noreferrer"
                          target="_blank" moz-do-not-send="true"
                          class="moz-txt-link-freetext">http://friam.383.s1.nabble.com/</a><br>
                      </blockquote>
                    </div>
                    -. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . /
                    -.-. --- -.. .<br>
                    FRIAM Applied Complexity Group listserv<br>
                    Fridays 9a-12p Friday St. Johns Cafe   /   Thursdays
                    9a-12p Zoom <a href="https://bit.ly/virtualfriam"
                      target="_blank" rel="noreferrer"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">https://bit.ly/virtualfriam</a><br>
                    to (un)subscribe <a
                      href="http://redfish.com/mailman/listinfo/friam_redfish.com"
                      target="_blank" rel="noreferrer"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
                    FRIAM-COMIC <a
                      href="http://friam-comic.blogspot.com/"
                      target="_blank" rel="noreferrer"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">http://friam-comic.blogspot.com/</a><br>
                    archives:  5/2017 thru present <a
                      href="https://redfish.com/pipermail/friam_redfish.com/"
                      target="_blank" rel="noreferrer"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">https://redfish.com/pipermail/friam_redfish.com/</a><br>
                     1/2003 thru 6/2021  <a
                      href="http://friam.383.s1.nabble.com/"
                      target="_blank" rel="noreferrer"
                      moz-do-not-send="true"
                      class="moz-txt-link-freetext">http://friam.383.s1.nabble.com/</a><br>
                  </div>
                </blockquote>
              </div>
              <br>
            </div>
          </div>
          -. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. ---
          -.. .<br>
          FRIAM Applied Complexity Group listserv<br>
          Fridays 9a-12p Friday St. Johns Cafe   /   Thursdays 9a-12p
          Zoom <a href="https://bit.ly/virtualfriam" rel="noreferrer
            noreferrer" target="_blank" moz-do-not-send="true"
            class="moz-txt-link-freetext">https://bit.ly/virtualfriam</a><br>
          to (un)subscribe <a
            href="http://redfish.com/mailman/listinfo/friam_redfish.com"
            rel="noreferrer noreferrer" target="_blank"
            moz-do-not-send="true" class="moz-txt-link-freetext">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
          FRIAM-COMIC <a href="http://friam-comic.blogspot.com/"
            rel="noreferrer noreferrer" target="_blank"
            moz-do-not-send="true" class="moz-txt-link-freetext">http://friam-comic.blogspot.com/</a><br>
          archives:  5/2017 thru present <a
            href="https://redfish.com/pipermail/friam_redfish.com/"
            rel="noreferrer noreferrer" target="_blank"
            moz-do-not-send="true" class="moz-txt-link-freetext">https://redfish.com/pipermail/friam_redfish.com/</a><br>
            1/2003 thru 6/2021  <a
            href="http://friam.383.s1.nabble.com/" rel="noreferrer
            noreferrer" target="_blank" moz-do-not-send="true"
            class="moz-txt-link-freetext">http://friam.383.s1.nabble.com/</a><br>
        </blockquote>
      </div>
      <br>
      <fieldset class="moz-mime-attachment-header"></fieldset>
      <pre class="moz-quote-pre" wrap="">-. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. .
FRIAM Applied Complexity Group listserv
Fridays 9a-12p Friday St. Johns Cafe   /   Thursdays 9a-12p Zoom <a class="moz-txt-link-freetext" href="https://bit.ly/virtualfriam">https://bit.ly/virtualfriam</a>
to (un)subscribe <a class="moz-txt-link-freetext" href="http://redfish.com/mailman/listinfo/friam_redfish.com">http://redfish.com/mailman/listinfo/friam_redfish.com</a>
FRIAM-COMIC <a class="moz-txt-link-freetext" href="http://friam-comic.blogspot.com/">http://friam-comic.blogspot.com/</a>
archives:  5/2017 thru present <a class="moz-txt-link-freetext" href="https://redfish.com/pipermail/friam_redfish.com/">https://redfish.com/pipermail/friam_redfish.com/</a>
  1/2003 thru 6/2021  <a class="moz-txt-link-freetext" href="http://friam.383.s1.nabble.com/">http://friam.383.s1.nabble.com/</a>
</pre>
    </blockquote>
  </body>
</html>