Education and Training in Developmental Disabilities - Division on ...
Education and Training in Developmental Disabilities - Division on ...
Education and Training in Developmental Disabilities - Division on ...
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computer for all multiplicati<strong>on</strong> problems that<br />
they worked <strong>on</strong> dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g their mathematics<br />
class. Students used the FLY Pen to complete<br />
assigned multiplicati<strong>on</strong> problems given<br />
<strong>on</strong> a worksheet designed by the teacher or<br />
assigned problems from their textbook.<br />
The percentage of multiplicati<strong>on</strong> problems<br />
solved correctly dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g each assessment sessi<strong>on</strong><br />
was the dependent variable. Prior to the<br />
start of the study, all three of the students<br />
received <str<strong>on</strong>g>in</str<strong>on</strong>g>structi<strong>on</strong> from their special educati<strong>on</strong><br />
teacher <strong>on</strong> how to solve multiplicati<strong>on</strong><br />
problems. Additi<strong>on</strong>ally, at the start of the<br />
study (<str<strong>on</strong>g>and</str<strong>on</strong>g> throughout the completi<strong>on</strong>) the<br />
students’ underst<str<strong>on</strong>g>and</str<strong>on</strong>g><str<strong>on</strong>g>in</str<strong>on</strong>g>g of basic multiplicati<strong>on</strong><br />
facts was assessed through daily timed<br />
tests. A set of 57 r<str<strong>on</strong>g>and</str<strong>on</strong>g>om multiplicati<strong>on</strong> problems<br />
was created for the assessments. Of the<br />
57 problems, 31 were basic multiplicati<strong>on</strong><br />
facts (s<str<strong>on</strong>g>in</str<strong>on</strong>g>gle digit numbers multiplied by s<str<strong>on</strong>g>in</str<strong>on</strong>g>gle<br />
digit number, i.e., 3 4) <str<strong>on</strong>g>and</str<strong>on</strong>g> 26 were<br />
mixed problems (double digit numbers multiplied<br />
by a s<str<strong>on</strong>g>in</str<strong>on</strong>g>gle digit number, i.e., 34 5).<br />
The problem set was developed based <strong>on</strong> the<br />
Sax<strong>on</strong> mathematics curriculum used by the<br />
students’ teacher. The set was generated<br />
through stratified r<str<strong>on</strong>g>and</str<strong>on</strong>g>om sampl<str<strong>on</strong>g>in</str<strong>on</strong>g>g to ensure<br />
that the multiplicati<strong>on</strong> problems <str<strong>on</strong>g>in</str<strong>on</strong>g>cluded a<br />
wide range of numbers from 1-99. The researcher<br />
created the set by arbitrarily select<str<strong>on</strong>g>in</str<strong>on</strong>g>g<br />
n<strong>on</strong>-sequential multiplicati<strong>on</strong> problems that<br />
used an assorted selecti<strong>on</strong> of digit comb<str<strong>on</strong>g>in</str<strong>on</strong>g>ati<strong>on</strong>s.<br />
Specifically, diverse problems such as<br />
8 8, 2 7, <str<strong>on</strong>g>and</str<strong>on</strong>g> 6 5 were chosen for the<br />
set <str<strong>on</strong>g>and</str<strong>on</strong>g> sequential problems such as 8 8,<br />
8 7, <str<strong>on</strong>g>and</str<strong>on</strong>g> 8 6 were <str<strong>on</strong>g>in</str<strong>on</strong>g>tenti<strong>on</strong>ally omitted<br />
from the set. A variety of the basic <str<strong>on</strong>g>and</str<strong>on</strong>g> mixed<br />
problems total<str<strong>on</strong>g>in</str<strong>on</strong>g>g ten or fewer questi<strong>on</strong>s per<br />
assessment were r<str<strong>on</strong>g>and</str<strong>on</strong>g>omly drawn from the set<br />
of problems dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g each phase of the study.<br />
Dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g the basel<str<strong>on</strong>g>in</str<strong>on</strong>g>e phase, four basic facts<br />
problems <str<strong>on</strong>g>and</str<strong>on</strong>g> three mixed problems were<br />
used. Initially, three, two digit times two digit<br />
problems (i.e. 42 63) were assessed dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g<br />
the basel<str<strong>on</strong>g>in</str<strong>on</strong>g>e phase, however the students were<br />
not assigned problems like this to work <strong>on</strong> <str<strong>on</strong>g>in</str<strong>on</strong>g><br />
class with the FLY Pen therefore these data<br />
were not <str<strong>on</strong>g>in</str<strong>on</strong>g>cluded <str<strong>on</strong>g>in</str<strong>on</strong>g> the f<str<strong>on</strong>g>in</str<strong>on</strong>g>al data analysis.<br />
Dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g the <str<strong>on</strong>g>in</str<strong>on</strong>g>terventi<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> ma<str<strong>on</strong>g>in</str<strong>on</strong>g>tenance<br />
phases, the probes c<strong>on</strong>sisted of five basic facts<br />
problems <str<strong>on</strong>g>and</str<strong>on</strong>g> five mixed problems.<br />
Materials<br />
FLY pentop computer. The FLY Pen, a<br />
pentop computer developed by LeapFrog © ,<br />
was used dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g the <str<strong>on</strong>g>in</str<strong>on</strong>g>terventi<strong>on</strong> phase. This<br />
pentop computer is a device slightly larger<br />
than a pen <str<strong>on</strong>g>and</str<strong>on</strong>g> uses special paper called<br />
FLY Paper. The FLY Pen writes as a pen,<br />
can assist students with calculati<strong>on</strong>s, <str<strong>on</strong>g>and</str<strong>on</strong>g> <str<strong>on</strong>g>in</str<strong>on</strong>g>cludes<br />
various games that support the pen’s<br />
use. In additi<strong>on</strong>, educati<strong>on</strong>al software can be<br />
purchased for this device, such as software for<br />
spell<str<strong>on</strong>g>in</str<strong>on</strong>g>g, multiplicati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> divisi<strong>on</strong>, algebra,<br />
<str<strong>on</strong>g>and</str<strong>on</strong>g> writ<str<strong>on</strong>g>in</str<strong>on</strong>g>g. When the software cartridge is<br />
<str<strong>on</strong>g>in</str<strong>on</strong>g>serted <str<strong>on</strong>g>in</str<strong>on</strong>g>to the top of the FLY Pen <str<strong>on</strong>g>and</str<strong>on</strong>g><br />
used with the special FLY Paper, students<br />
have access to assistance <str<strong>on</strong>g>in</str<strong>on</strong>g> spell<str<strong>on</strong>g>in</str<strong>on</strong>g>g activities,<br />
solv<str<strong>on</strong>g>in</str<strong>on</strong>g>g multiplicati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> divisi<strong>on</strong> problems,<br />
<str<strong>on</strong>g>and</str<strong>on</strong>g> organiz<str<strong>on</strong>g>in</str<strong>on</strong>g>g <strong>on</strong>e’s writ<str<strong>on</strong>g>in</str<strong>on</strong>g>g. The FLY Pen<br />
comes with a Launch Pad which provides <str<strong>on</strong>g>in</str<strong>on</strong>g>structi<strong>on</strong>s<br />
for the pentop computer <str<strong>on</strong>g>and</str<strong>on</strong>g> activities<br />
that can be d<strong>on</strong>e with the FLY Pen.<br />
Multiplicati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> divisi<strong>on</strong> software. This<br />
study used the FLY Pen multiplicati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g><br />
divisi<strong>on</strong> mathematics software. The multiplicati<strong>on</strong><br />
<str<strong>on</strong>g>and</str<strong>on</strong>g> divisi<strong>on</strong> software <str<strong>on</strong>g>in</str<strong>on</strong>g>cluded a software<br />
cartridge, the FLY C<strong>on</strong>trol Panel tablet,<br />
FLY Paper used to complete the math problems,<br />
<str<strong>on</strong>g>and</str<strong>on</strong>g> a manual with example problems<br />
<str<strong>on</strong>g>and</str<strong>on</strong>g> directi<strong>on</strong>s. The FLY C<strong>on</strong>trol Panel tablet<br />
c<strong>on</strong>ta<str<strong>on</strong>g>in</str<strong>on</strong>g>ed 40 pages of the FLY grid paper<br />
for students to write multiplicati<strong>on</strong> or divisi<strong>on</strong><br />
problems follow<str<strong>on</strong>g>in</str<strong>on</strong>g>g a format specified <str<strong>on</strong>g>in</str<strong>on</strong>g> the<br />
manual. This software required students to<br />
use specific steps while solv<str<strong>on</strong>g>in</str<strong>on</strong>g>g their multiplicati<strong>on</strong><br />
or divisi<strong>on</strong> problems. To ensure that<br />
steps were followed correctly, the FLY Pen<br />
provided auditory prompts about which functi<strong>on</strong>s<br />
needed to be completed before mov<str<strong>on</strong>g>in</str<strong>on</strong>g>g<br />
to subsequent steps. When each student<br />
started the <str<strong>on</strong>g>in</str<strong>on</strong>g>terventi<strong>on</strong> phase of the study,<br />
s/he was assigned a box with the study materials<br />
that were stored <str<strong>on</strong>g>in</str<strong>on</strong>g> a nearby cab<str<strong>on</strong>g>in</str<strong>on</strong>g>et for<br />
easy access dur<str<strong>on</strong>g>in</str<strong>on</strong>g>g each math class.<br />
Experimental Design<br />
A multiple probe across students design was<br />
used to determ<str<strong>on</strong>g>in</str<strong>on</strong>g>e the effectiveness of a FLY<br />
Pen <strong>on</strong> the acquisiti<strong>on</strong> of multiplicati<strong>on</strong> skills.<br />
The multiple probe design was chosen s<str<strong>on</strong>g>in</str<strong>on</strong>g>ce it<br />
provided a means to decrease the collecti<strong>on</strong> of<br />
data across the multiple basel<str<strong>on</strong>g>in</str<strong>on</strong>g>es while at the<br />
FLY Pen Math / 371