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One issue that comes up often is that learners have difficulty thinking
of fractions that are not part of a unit whole, because all of their
concrete examples began as "1 unit." So you might also have a pile of
jelly beans or a box of cookies that have to be divided up among the
people.<br>
<br>
Later, you might also explore ways to share 3 pizzas among 10 people
and divide 7 hoagies (Philly word for submarine or hero sandwiches)
among 5 people. <br>
<br>
Lynda<br>
<br>
Kathie Daviau wrote:<br>
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<title>Re: [SpecialTopics 671] Re: Components of Numeracy</title>
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<p class="MsoNormal"><font size="2" color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">I have made
brownies (one pan for each
class) and asked how to cut the brownies so each person gets exactly
the same
size piece. This develops fractions, measurement and rulers, area,
prime
numbers and factors, and great verbalization of a math problem. And…
any
activity involving food will be successful.<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="navy" face="Arial"><span
style="font-size: 10pt; 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: 10pt; font-family: Arial; color: navy;"><o:p> </o:p></span></font></p>
<div>
<div class="MsoNormal" align="center"
style="margin-left: 0.5in; text-align: center;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;">
<hr size="2" width="100%" align="center" tabindex="-1"></span></font></div>
<p class="MsoNormal" style="margin-left: 0.5in;"><b><font size="2"
face="Tahoma"><span
style="font-size: 10pt; font-family: Tahoma; font-weight: bold;">From:</span></font></b><font
size="2" face="Tahoma"><span
style="font-size: 10pt; font-family: Tahoma;">
<a class="moz-txt-link-abbreviated" href="mailto:specialtopics-bounces@nifl.gov">specialtopics-bounces@nifl.gov</a> [<a class="moz-txt-link-freetext" href="mailto:specialtopics-bounces@nifl.gov">mailto:specialtopics-bounces@nifl.gov</a>] <b><span
style="font-weight: bold;">On Behalf Of </span></b>Rebecca Metternich<br>
<b><span style="font-weight: bold;">Sent:</span></b> Thursday,
September 20, 2007
9:30 AM<br>
<b><span style="font-weight: bold;">To:</span></b>
<a class="moz-txt-link-abbreviated" href="mailto:specialtopics@nifl.gov">specialtopics@nifl.gov</a><br>
<b><span style="font-weight: bold;">Subject:</span></b>
[SpecialTopics 704] Re:
Components of Numeracy</span></font><o:p></o:p></p>
</div>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"><o:p> </o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="blue" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: blue;">I have used
inexpensive
paper plates and cut them apart. You can have a set for each
student. A fun activity would be to bring in a bag of apples and
plastic knives. After a trip to the restroom to wash hands, students
could cut up their apple, discuss the fractions represented, and finish
with a nutritious snack.</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="blue" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: blue;">I am
enjoying the
discussion.</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="blue" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: blue;">Rebecca
Metternich </span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"><o:p> </o:p></span></font></p>
<div class="MsoNormal" align="center"
style="margin-left: 0.5in; text-align: center;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;">
<hr size="2" width="100%" align="center" tabindex="-1"></span></font></div>
<p class="MsoNormal"
style="margin-right: 0in; margin-bottom: 12pt; margin-left: 0.5in;"><b><font
size="2" face="Tahoma"><span
style="font-size: 10pt; font-family: Tahoma; font-weight: bold;">From:</span></font></b><font
size="2" face="Tahoma"><span
style="font-size: 10pt; font-family: Tahoma;">
<a class="moz-txt-link-abbreviated" href="mailto:specialtopics-bounces@nifl.gov">specialtopics-bounces@nifl.gov</a> [<a class="moz-txt-link-freetext" href="mailto:specialtopics-bounces@nifl.gov">mailto:specialtopics-bounces@nifl.gov</a>] <b><span
style="font-weight: bold;">On Behalf Of </span></b>Rose Steiner<br>
<b><span style="font-weight: bold;">Sent:</span></b> Wednesday,
September 19,
2007 6:31 PM<br>
<b><span style="font-weight: bold;">To:</span></b>
<a class="moz-txt-link-abbreviated" href="mailto:specialtopics@nifl.gov">specialtopics@nifl.gov</a><br>
<b><span style="font-weight: bold;">Subject:</span></b>
[SpecialTopics 699] Re:
Components of Numeracy</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="blue" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: blue;">Kate (and
others),</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="blue" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: blue;">You
mentioned </span></font><font size="2" color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;"> "we had the
appropriate manipulatives for –halves,
quarters, eighths, sixteenths, thirds, sixths, twelfths, fifths, and
tenths." </span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">What
exactly do you
consider the appropriate manipulatives for these fractions?
Are there <strong><b><font face="Arial"><span
style="font-family: Arial;">inexpensive</span></font></b></strong>
ones that work well? So many of our sites in <st1:State w:st="on"><st1:place
w:st="on">Montana</st1:place></st1:State> have limited funds and I am
sure we
are not alone.</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">We have used
egg cartons
(12 and 18 egg size) for many of these fractions. But to do all of
these, our class would need to make some adaptations to the
cartons (i.e. cover up some of the egg slots so that are not a part of
the
whole, etc). </span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">I look
forward to trying
your 10 pages with my students. ;-)</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"> <o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">Thanks</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">Rose Steiner</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="navy" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: navy;">I am
enjoying this great
discussion on the special topic of numeracy...</span></font><o:p></o:p></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="2"
color="blue" face="Arial"><span
style="font-size: 10pt; font-family: Arial; color: blue;"><br>
<o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-left: 0.5in;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;"><o:p> </o:p></span></font></p>
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style="margin-left: 0.5in; text-align: center;"><font size="3"
face="Times New Roman"><span style="font-size: 12pt;">
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<br>
<pre class="moz-signature" cols="72">--
Lynda Ginsburg
Senior Research Associate, MetroMath
Rutgers University
118 Frelinghuysen Road
Piscataway, NJ 08854
Tel: 732-445-1409 Fax: 732-445-2894
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