etadd_47(3) - Division on Autism and Developmental Disabilities
etadd_47(3) - Division on Autism and Developmental Disabilities
etadd_47(3) - Division on Autism and Developmental Disabilities
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TABLE 2<br />
C<strong>on</strong>tent St<strong>and</strong>ards, Alternate Achievement, <strong>and</strong> Task Analyses Used in Math<br />
Nati<strong>on</strong>al St<strong>and</strong>ard<br />
(NCTM) based <strong>on</strong> 6-8 th<br />
grade b<strong>and</strong>s<br />
Algebra: Represent <strong>and</strong><br />
analyze mathematical<br />
situati<strong>on</strong>s <strong>and</strong><br />
structures using<br />
algebraic symbols.<br />
Geometry: Specify<br />
locati<strong>on</strong>s <strong>and</strong> describe<br />
spatial relati<strong>on</strong>ships<br />
using coordinate<br />
geometry <strong>and</strong> other<br />
representati<strong>on</strong>al<br />
systems. Use<br />
visualizati<strong>on</strong>, spatial<br />
reas<strong>on</strong>ing, <strong>and</strong><br />
geometric modeling to<br />
solve problems.<br />
Measurement: Apply<br />
appropriate techniques,<br />
tools, <strong>and</strong> formulas to<br />
determine<br />
measurements.<br />
Data Analysis <strong>and</strong><br />
Probability: Formulate<br />
questi<strong>on</strong>s that can be<br />
addressed with data<br />
<strong>and</strong> collect, organize,<br />
<strong>and</strong> display relevant<br />
data to answer them.<br />
Competency Goal(s) from<br />
state st<strong>and</strong>ard course of<br />
study st<strong>and</strong>ards<br />
Use <strong>and</strong> evaluate algebraic<br />
expressi<strong>on</strong>s. Solve simple<br />
(<strong>on</strong>e- <strong>and</strong> two-step)<br />
equati<strong>on</strong>s or inequalities.<br />
Represent problem<br />
situati<strong>on</strong>s with geometric<br />
models. Identify, predict,<br />
<strong>and</strong> describe dilati<strong>on</strong>s in<br />
the coordinate plane.<br />
Develop flexibility in solving<br />
problems by selecting<br />
strategies <strong>and</strong> using<br />
mental computati<strong>on</strong>,<br />
estimati<strong>on</strong>, calculators or<br />
computers, <strong>and</strong> paper <strong>and</strong><br />
pencil.<br />
Collect, organize, analyze,<br />
<strong>and</strong> display data<br />
(including box plots <strong>and</strong><br />
histograms) to solve<br />
problems.<br />
followed the same guidelines described under<br />
the descripti<strong>on</strong> of the dependent variable. No<br />
feedback was given to students during baseline<br />
probes. Data was graphed <strong>and</strong> visually<br />
inspected after each sessi<strong>on</strong>. After baseline,<br />
the same procedures were followed to c<strong>on</strong>tinue<br />
to probe whatever unit was receiving<br />
instructi<strong>on</strong>. That is, <strong>on</strong>e or two times a week<br />
prior to the less<strong>on</strong>, the graduate student c<strong>on</strong>-<br />
Alternate Achievement<br />
st<strong>and</strong>ards addressed in<br />
this study Task Analysis<br />
Solve simple <strong>on</strong>e-step<br />
equati<strong>on</strong>s that relate<br />
to stories about daily<br />
events.<br />
Identify <strong>and</strong> describe<br />
the intersecti<strong>on</strong> of<br />
figures in a plane.<br />
Draw line segments<br />
<strong>and</strong> a coordinate<br />
plane to dem<strong>on</strong>strate<br />
spatial sense for<br />
familiar c<strong>on</strong>texts like<br />
grocery store.<br />
Develop numbers sense<br />
for real numbers.<br />
Develop flexibility in<br />
solving mathematical<br />
problems by selecting<br />
strategies <strong>and</strong> using<br />
appropriate<br />
technology. Use next<br />
dollar strategy to<br />
solve problems<br />
related to everyday<br />
transacti<strong>on</strong>s.<br />
Collect, organize <strong>and</strong><br />
display data to solve<br />
problems from<br />
familiar events.<br />
ducted the task analytic assessment for that<br />
unit. At the end of a unit, all units were reprobed<br />
before the next was introduced.<br />
Interventi<strong>on</strong><br />
Identify problem statement. Identify<br />
first, sec<strong>on</strong>d, <strong>and</strong> last fact in story.<br />
Name unknown quantity “x”. Place<br />
facts in correct sequence <strong>on</strong><br />
Equati<strong>on</strong> Prompt. Identify<br />
operati<strong>on</strong> needed to solve problem.<br />
State soluti<strong>on</strong> to problem. State<br />
soluti<strong>on</strong> in story c<strong>on</strong>text.<br />
Identify problem statement. Identify<br />
points <strong>on</strong> map using facts from<br />
story. Draw line segments formed<br />
from identified points. Identify<br />
plane formed from line segments.<br />
State soluti<strong>on</strong> to problem. State<br />
soluti<strong>on</strong> in story c<strong>on</strong>text.<br />
Identify problem statement. Identify<br />
dollar amount from fact in story.<br />
Count number of <strong>on</strong>e dollar bills<br />
equal to given dollar amount.<br />
Count out <strong>on</strong>e more dollar, (if<br />
verbal, may say “<strong>and</strong> <strong>on</strong>e more”<br />
while counting <strong>on</strong>e more). State<br />
soluti<strong>on</strong> to problem. State soluti<strong>on</strong><br />
in story c<strong>on</strong>text.<br />
Identify problem statement. Record<br />
data from story <strong>on</strong> graph. Identify<br />
choice with “more”. State soluti<strong>on</strong><br />
to problem. State soluti<strong>on</strong> in story<br />
c<strong>on</strong>text.<br />
The mathematics interventi<strong>on</strong> included (a)<br />
mathematics word problem stories based <strong>on</strong><br />
familiar activities, (b) a graphic organizer <strong>and</strong><br />
Grade-Aligned Sec<strong>on</strong>dary Math / 379