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A comparison of the effectiveness of instrumental and relational teaching in trigonometry
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A comparison of the effectiveness of instrumental and relational teaching in trigonometry
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Description
Identifier
Thesis
2086
Author
Cropper-Alt, Zachary Matthew, 1982-
Title
A
comparison
of the
effectiveness
of
instrumental
and
relational
teaching
in
trigonometry
Publisher
Central Connecticut State University
Date
2010
Resource Type
Master's Thesis
Notes
In
recent
years
,
mathematics
instruction
has been
undergoing
a
change
from a
discipline
that
teaches
procedures
and
skills
to a
more
exploratory
style
,
which
creates
a
constructivist
learning
environment
(Henningsen
&
Stein
,
1997)
. There
is
now
a
great
deal
of
evidence
that
shows
that
teaching
for
understanding
is
more
effective
than
teaching
mathematics
simply
by
explaining
rules
and
procedures
.
However
,
research
in this
area
has been
very
limited
for
samples
of
students
who
are
beyond
the
Algebra
2
level
,
especially
in the
area
of
advanced
trigonometry
. The
purpose
of this
study
was to
examine
teaching
for
understanding
with
students
in a
senior-level
high
school
trigonometry
class
. The
sample
consisted
of
four
classes
,
taught
by the
same
instructor
, at a
rural
public
high
school
in
Connecticut
.
Two
of the
classes
were
taught
in the
Spring
of
2008
using
traditional
mathematical
teaching
methods
, and they
served
as the
control
group
. The
experimental
group
consisted
of
two
classes
taught
in the
Spring
of
2009
using
discovery
investigation
teaching
methods
. The
two
groups
were
determined
to be
statistically
comparable
by
three
separate
two-sample
T-tests
of
two
different
standardized
tests
that
all
students
took
prior
to
enrolling
in the
trigonometry
course
. The
control
group
was
taught
using
traditional
direct
instruction
,
mainly
consisting
of
procedural
explanations
,
individual
and
group
practice
exercises
, and
reviewing
homework
problems
on the
board
. In the
experimental
group
,
new
content
was
learned
through
discovery
investigations
whenever
possible
.
Students
presented
and
discussed
their
ideas
,
procedures
, and
results
on an
almost
daily
basis
.
Despite
the
differences
in
instruction
, the
same
homework
,
tests
, and
quizzes
were
assigned
to
both
the
experimental
and
control
groups
.
Subject
Trigonometry -- Study and teaching (Secondary)
Department
Department of Mathematical Sciences
Advisor
Halloran, Philip P
Type
Text
Digital Format
application/pdf
Language
eng
OCLC number
694771726
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