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A study of problem solving and its effect on computational efficiency / Thomas R. Rugani
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A study of problem solving and its effect on computational efficiency / Thomas R. Rugani
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Description
Identifier
Thesis
1623
Author
Rugani, Thomas R
Title
A
study
of
problem
solving
and its
effect
on
computational
efficiency
/
Thomas
R
.
Rugani
Publisher
Central Connecticut State University
Date
2000
Resource Type
Master's Thesis
Notes
Mathematical
problem
solving
is
a
complicated
process
involving
many
components
. Here, an
historical
overview
of the
study
of the
effect
of
problem
solving
instruction
is
presented
. The
roles
of
contributing
factors
,
such
as the
students
'
computational
ability
,
reading
ability
,
language
processing
ability
, and their
relation
to
problem
solving
ability
are
examined
. This
study
compares
two
instructional
strategies
to
determine
the
effects
of
problem
solving
instruction
on
computational
efficiency
and
discusses
implications
for
instruction
in the
United
States
.
Learning
disabled
as
well
as
non-disabled
students
are
included
. To
conduct
this
study
,
timed
basic
facts
pretests
and
problem
solving
pretests
were
administered
to
seventy
five
fourth
grade
students
in an
urban
elementary
school
.
Twenty
five
students
scored
90%
accuracy
or
higher
on
both
pretests
. Those
students
were
excluded
from the
study
. The
remaining
fifty
students
were
divided
randomly
into
two
groups
: a
basic
facts
group
and a
problem
solving
group
.
Students
in the
basic
facts
group
were
required
to
memorize
, by
rote
,
basic
addition
and
subtraction
facts
over
a
three
week
period
.
During
the
same
three
week
period
,
students
in the
problem
solving
group
were
taught
and
required
to
memorize
basic
addition
and
subtraction
facts
through
problem
solving
for
understanding
. At the
end
of the
three
week
period
,
all
students
were
administered
a
basic
facts
test
and a
problem
solving
test
. A
statistical
analysis
was
performed
on the
results
of these
tests
.
Students
in the
problem
solving
group
performed
statistically
better
on the
problem
solving
test
as
compared
to
students
in the
basic
facts
group
.
No
statistical
difference
was
shown
between
the
two
groups
on the
basic
facts
test
.
Results
show
that
computational
efficiency
is
not
compromised
when
students
learn
the
facts
within
a
conceptual
framework
.
Additionally
, the
experimental
group
showed
significantly
greater
ability
in
problem
solving
.
Subject
Problem solving -- Education (Elementary)
Mathematics -- Study and teaching (Elementary)
Department
Department of Mathematical Sciences
Advisor
Halloran, Philip P
Type
Text
Digital Format
application/pdf
Language
eng
OCLC number
48116778
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