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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

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