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<title>RE: [SpecialTopics 649] Components of Numeracy</title>
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<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Kathie, you mentioned developing a “system”
to incorporate manipulatives into the usual math work. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>I started by asking students to use
manipulatives to demonstrate that the answers they gave to questions in their
usual book were correct. I started with the fractions section, and asked
them to demonstrate every question that we had the appropriate manipulatives
for –halves, quarters, eighths, sixteenths, thirds, sixths, twelfths, fifths,
and tenths.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>I gave them a sheet that noted the numbers
of the questions that required demonstrations, with a blank line for me to
initial when I had seen the demonstration. It is fairly quick for me to
go around, check the demonstrations, initial it and move on. Students can
set up several demonstrations if they are waiting for me to get there. AND,
the big thing—they always get the answer right by the time they have
finished setting up the demonstration, so I can ask them how they got it right,
rather than explaining what they did wrong and re-teaching. Faster, much
faster, and so much more satisfying for both of us.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>In following years, I discarded the usual
book altogether, because students didn’t need that much practice when
they did the demonstrations, and I made a 10-page handout that asks for
demonstrations of fractions concepts and operations. This handout, along
with some group work on concepts and algorithms, takes the place of a 100-page
section on fractions. <o:p></o:p></span></font></p>
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<p class=MsoNormal><b><font size=2 face=Tahoma><span style='font-size:10.0pt;
font-family:Tahoma;font-weight:bold'>From:</span></font></b><font size=2
face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma'>
specialtopics-bounces@nifl.gov [mailto:specialtopics-bounces@nifl.gov] <b><span
style='font-weight:bold'>On Behalf Of </span></b>Kathie Daviau<br>
<b><span style='font-weight:bold'>Sent:</span></b> Monday, September 17, 2007
2:45 PM<br>
<b><span style='font-weight:bold'>To:</span></b> specialtopics@nifl.gov<br>
<b><span style='font-weight:bold'>Subject:</span></b> [SpecialTopics 661] Re:
Components of Numeracy</span></font><o:p></o:p></p>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Actually, my hesitation is because I teach
in an individualized setting. When I run across a student that needs the
hands-on approach, I find it difficult to introduce manipulatives to just one
student. I do not have a group of 2-4 students that are at the same
spot. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>When I do take the time to introduce
manipulatives to one student or a group of students, the students not involved
in the activity do not receive my attention until I am done.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>I would love to develop a system for this.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Kathie<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
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<p class=MsoNormal style='margin-left:36.0pt'><b><font size=2 face=Tahoma><span
style='font-size:10.0pt;font-family:Tahoma;font-weight:bold'>From:</span></font></b><font
size=2 face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma'>
specialtopics-bounces@nifl.gov [mailto:specialtopics-bounces@nifl.gov] <b><span
style='font-weight:bold'>On Behalf Of </span></b>Myrna Manly<br>
<b><span style='font-weight:bold'>Sent:</span></b> Monday, September 17, 2007
2:27 PM<br>
<b><span style='font-weight:bold'>To:</span></b> specialtopics@nifl.gov<br>
<b><span style='font-weight:bold'>Subject:</span></b> [SpecialTopics 658] Re:
Components of Numeracy</span></font><o:p></o:p></p>
</div>
<p class=MsoNormal style='margin-left:36.0pt'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'>Kathie, <o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'>Because
you are interested in introducing manipulatives into the adult classroom,
I’m guessing that you know how powerful they can be in helping students
to recognize patterns and to see more than one way to solve problems.
They help to make the transition from the concrete to the symbolic reasoning
that is so important in math. But I also sense that you are hesitant to
use them with adults who may dismiss them as being for children.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'>Perhaps
this a good question to throw back to the list subscribers. What has your
experience been when you introduced manipulatives to your adult classes?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'>Myrna<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
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<p class=MsoNormal style='margin-left:36.0pt'><b><font size=2 face=Tahoma><span
style='font-size:10.0pt;font-family:Tahoma;font-weight:bold'>From:</span></font></b><font
size=2 face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma'> specialtopics-bounces@nifl.gov
[mailto:specialtopics-bounces@nifl.gov] <b><span style='font-weight:bold'>On
Behalf Of </span></b><st1:PersonName w:st="on">Kathie Daviau</st1:PersonName><br>
<b><span style='font-weight:bold'>Sent:</span></b> Sunday, September 16, 2007
2:49 PM<br>
<b><span style='font-weight:bold'>To:</span></b> <st1:PersonName w:st="on">specialtopics@nifl.gov</st1:PersonName><br>
<b><span style='font-weight:bold'>Subject:</span></b> [SpecialTopics 652] Re:
Components of Numeracy</span></font><o:p></o:p></p>
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<p class=MsoNormal style='margin-left:36.0pt'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p style='mso-margin-top-alt:5.0pt;margin-right:0cm;margin-bottom:12.0pt;
margin-left:36.0pt'><font size=2 face="Times New Roman"><span style='font-size:
10.0pt'>I am interested in the use of manipulatives in the adult ed math
classroom. How are manipulatives used? How do you introduce
manipulatives to adults? Do you use manipulatives in an individualized
setting? What are your favorite manipulatives? <br>
Thanks,<br>
Kathie<br>
<st1:place w:st="on"><st1:City w:st="on">Billings</st1:City>, <st1:State w:st="on">Montana</st1:State></st1:place><br>
<br>
<br>
</span></font><o:p></o:p></p>
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