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Competence in early mathematics is crucial for later school success. Although research indicates that early mathematics curricula improve children's mathematics skill, such curricula's impacts on oral language and early literacy skills are not known. This project is the first to investigate the effects of an intensive pre-kindergarten mathematics curriculum, Building Blocks, on the oral language and letter recognition of children participating in a large-scale cluster randomized trial project. Results showed no evidence that children who were taught mathematics using the curriculum performed differently than control children who received the typical district mathematics instruction on measures of letter recognition, and on two of the oral language (story retell) subtests, sentence length and inferential reasoning (emotive content). However, children in the Building Blocks group outperformed children in the control group on four oral language subtests: ability to recall key words, use of complex utterances, willingness to reproduce narratives independently, and inferential reasoning (practical content).
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Author's personal copy
Early
Childhood
Research
Quarterly
27 (2012) 489–
502
Contents
lists
available
at
SciVerse
ScienceDirect
Early
Childhood
Research
Quarterly
The
impacts
of
an
early
mathematics
curriculum
on
oral
language
and
literacy
Julie
Saramaa, Alissa
A.
Langeb, Douglas
H.
Clementsa,,
Christopher
B.
Wolfec
aUniversity
at
Buffalo,
State
University
of
New
York,
Department
of
Learning
and
Instruction,
505
Baldy
Hall,
Buffalo,
NY
14260,
United
States
bRutgers
University,
United
States
cIndiana
University
– Kokomo,
United
States
a
r
t
i
c
l
e
i
n
f
o
Article
history:
Received
15
September
2010
Received
in
revised
form
13
November
2011
Accepted
6
December
2011
Keywords:
Preschool
Mathematics
Literacy
Language
Early
childhood
Scale-up
Randomized
Curriculum
a
b
s
t
r
a
c
t
Competence
in
early
mathematics
is
crucial
for
later
school
success.
Although
research
indicates
that
early
mathematics
curricula
improve
children’s
mathematics
skill,
such
curricula’s
impacts
on
oral
language
and
early
literacy
skills
are
not
known.
This
project
is
the
first
to
investigate
the
effects
of
an
intensive
pre-kindergarten
mathematics
curriculum,
Building
Blocks,
on
the
oral
language
and
letter
recognition
of
children
participating
in
a
large-scale
cluster
randomized
trial
project.
Results
showed
no
evidence
that
children
who
were
taught
mathematics
using
the
curriculum
performed
differently
than
control
children
who
received
the
typical
district
mathematics
instruction
on
measures
of
letter
recognition,
and
on
two
of
the
oral
language
(story
retell)
subtests,
sentence
length
and
inferential
reasoning
(emotive
content).
However,
children
in
the
Building
Blocks
group
outperformed
children
in
the
control
group
on
four
oral
language
subtests:
ability
to
recall
key
words,
use
of
complex
utterances,
willingness
to
reproduce
narratives
independently,
and
inferential
reasoning
(practical
content).
© 2011 Elsevier Inc. All rights reserved.
Children
who
live
in
poverty
and
who
are
members
of
linguistic
and
ethnic
minority
groups
demonstrate
significantly
lower
lev-
els
of
academic
achievement,
and
this
pernicious
process
begins
in
the
earliest
years
(Denton
&
West,
2002;
National
Research
Council,
2001;
Natriello,
McDill,
&
Pallas,
1990).
Preschool
edu-
cation
is
often
provided
to
address
early
experiential
differences.
Unfortunately,
many
children
from
lower-resource
communities
attend
preschools
that
are
not
of
high
quality.
For
example,
they
are
more
likely
than
children
from
higher-resource
communities
to
be
taught
by
teachers
with
fewer
qualifications
(Clifford
et
al.,
2005).
This
is
unfortunate
as
high-quality
programs
can
help
these
chil-
dren
achieve
greater
school
readiness
upon
entry
into
kindergarten
(Clements
&
Sarama,
2008a;
Magnuson,
Meyers,
Rathbun,
&
West,
2004;
National
Research
Council,
2001,
2009;
Sarama
&
Clements,
2009a;
Shonkoff
&
Phillips,
2000).
In
particular,
there
is
evidence
that
high-quality,
research-based
preschool
mathematics
curric-
ula
can
improve
early
mathematics
achievement
(e.g.,
Clements
&
Sarama,
2007c,
2008a,
2011a;
Sarama,
Clements,
Starkey,
Klein,
&
Wakeley,
2008).
However,
with
increasing
pressure
on
educa-
tors
to
achieve
benchmarks
across
multiple
areas
of
learning,
it
is
important
to
know
what,
if
any,
impacts
these
early
mathematics
Corresponding
author.
Permanent
address:
114
Carriage
Circle,
Williamsville,
NY
14221-2164,
United
States.
Tel.:
+1
716
689
3788;
fax:
+1
716
645
6721.
E-mail
addresses:
jsarama@buffalo.edu
(J.
Sarama),
alissa.lange@rutgers.edu
(A.A.
Lange),
clements@buffalo.edu
(D.H.
Clements),
chbwolfe@iuk.edu
(C.B.
Wolfe).
programs
have
on
other
academic
areas,
especially
language
and
emergent
literacy.
This
project
is
the
first
to
investigate
the
effects
of
an
intensive
pre-kindergarten
mathematics
intervention
on
the
oral
language
and
letter
recognition
skills
of
preschool
children.
1.
Oral
language
Both
receptive
and
expressive
oral
language
skills
are
strongly
related
to
early
literacy
development
(e.g.,
Cooper,
Roth,
Speece,
&
Schatschneider,
2002),
later
academic
success
(e.g.,
Bishop
&
Edmundson,
1987;
Catts,
1993;
Pankratz,
Plante,
Vance,
&
Insalaco,
2007;
Paul,
Hernandez,
Taylor,
&
Johnson,
1996;
Snow,
Barnes,
Chandler,
Goodman,
&
Hemphill,
1991),
and
future
linguistic
skill
(e.g.,
Conti-Ramsden,
Botting,
Simkin,
&
Knox,
2001;
Pankratz
et
al.,
2007).
Specific
components
of
early
oral
language,
including
vocab-
ulary,
grammar,
semantics,
and
narrative
discourse
processes
(i.e.,
complexity
and
content
analysis),
have
been
shown
to
indepen-
dently
predict
later
academic
success
from
pre-kindergarten
(e.g.,
Dickinson,
McCabe,
Anastaspoulos,
Peisner-Feinberg,
&
Poe,
2003).
Specifically,
early
oral
language
competencies
are
good
predictors
of
later
literacy,
nearly
equivalent
to
the
established
predictors
of
alphabetic
knowledge
and
phonological
awareness
(Pearson
&
Hiebert,
2010).
The
NICHD
Early
Child
Care
Research
Network
(2005)
demon-
strated
that
these
core
aspects
of
oral
language
skill
contributed
significantly
and
independently
to
later
reading
success.
Further,
0885-2006/$
see
front
matter ©
2011 Elsevier Inc. All rights reserved.
doi:10.1016/j.ecresq.2011.12.002
Author's personal copy
490 J.
Sarama
et
al.
/
Early
Childhood
Research
Quarterly
27 (2012) 489–
502
oral
language
was
affected
by
the
degree
of
linguistic
complexity
in
children’s
environments.
Because
oral
language
skills
demon-
strated
a
stronger
connection
to
later
academic
outcomes
for
children
from
low-resource
backgrounds
than
children
from
high-
resource
backgrounds,
rich
linguistic
experiences
at
early
ages
may
be
especially
important
for
children
at
risk
for
academic
failure.
2.
Letter
recognition
Similarly,
letter
recognition,
one
early
component
of
ortho-
graphic
development
and
pre-reading
skill,
is
a
strong
independent
predictor
of
later
reading
success
(e.g.,
decoding,
naming
speed,
phonological
awareness,
writing,
see
Denton
&
West,
2002;
McGill-
Franzen,
2010;
Molfese,
Modglin,
et
al.,
2006).
For
example,
letter
recognition
scores
at
Kindergarten
have
been
reported
as
strong
predictors
of
second
grade
and
fourth
grade
word
recognition
and
reading
comprehension
(Catts,
Fey,
Tamblin,
&
Zhang,
2002).
Letter
recognition
serves
as
a
base-level
step
in
the
process
of
‘cracking’
the
alphabetic
principle,
beginning
the
process
of
con-
necting
sound
with
symbol
and
growth
in
phonological
awareness
(e.g.,
Adams,
1990;
Treiman
&
Bourassa,
2000;
Vellutino,
Scanlon,
&
Tanzman,
1994).
Children
from
low-income
backgrounds
are
at
a
significant
disadvantage
in
the
development
of
this
skill
(Bradley
&
Corwyn,
2002;
Denton
&
West,
2002).
For
example,
in
a
study
of
preschool
skill
gains
within
a
literacy
skills-based
curriculum
with
progress
monitoring
for
children
from
low-income
backgrounds,
53%
made
either
no
gains
or
gains
of
one
letter.
On
the
other
hand,
47%
gained
seven
or
more
letters
(Molfese,
Modglin,
et
al.,
2006).
The
importance
of
letter
recognition
to
later
literacy
develop-
ment
and
the
wide
variability
in
the
growth
of
letter
identification
skill
suggest
the
need
for
highlighting
interventions
and
programs
that
facilitate
the
development
of
this
core
academic
skill
(Brown,
Molfese,
&
Molfese,
2008).
3.
Linking
language
and
literacy
with
mathematics
Different
bodies
of
research
report
conflicting
findings
con-
cerning
the
effects
of
mathematics
curricula
on
early
language
and
literacy.
The
impact
of
time-on-task
(or
time
on
instruc-
tion)
on
learning
provides
prima
facie
justification
for
the
concern
of
subject-matter
conflict
(e.g.,
Bodovski
&
Farkas,
2007).
From
this
frequently-voiced
perspective
(see
Clements
&
Sarama,
2009;
Farran,
Lipsey,
Watson,
&
Hurley,
2007;
Lee
&
Ginsburg,
2007;
Sarama
&
Clements,
2009a),
the
introduction
of
a
mathematics
curriculum
could
decrease
time
devoted
to
language
and
liter-
acy
activities,
impeding
children’s
development
of
those
domains.
However,
this
assumes
that
mathematics
activities
have
little
or
no
positive
effects
on
language
and
literacy.
Evidence
from
both
educational
and
psychological
research,
however,
suggests
co-mutual
beneficial
influences.
For
example,
similar
developmental
milestones
exist
in
the
learning
of
math-
ematics
and
language.
Children
generally
begin
learning
number
words
at
the
same
time
as
other
linguistic
labels.
By
the
age
of
two,
most
children
recognize
which
words
are
reserved
for
numbers
and
use
these
words
only
in
appropriate
contexts
(Fuson,
1988).
Across
alphabetic
languages,
there
is
a
developmental
pattern
of
recogniz-
ing
word
before
syllable,
syllable
before
rime-onset,
and
rime-onset
before
phoneme
(see
also
Anthony,
Lonigan,
Driscoll,
Phillips,
&
Burgess,
2003;
Ziegler
&
Goswami,
2005).
Similarly
in
mathematics
,
development
proceeds
from
conceptualizing
numbers
as
unbreak-
able
quantitative
categories
to
numbers
as
composites,
such
as
five
decomposed
into
three
and
two
(Butterworth,
2005;
Sarama
&
Clements,
2009a).
By
the
age
of
six
years,
children
of
most
cul-
tures
have
been
exposed
to
both
alphabetic
and
numerical
symbol
representations
and
begin
to
show
the
ability
to
segment
words
into
phonemes
and
numbers
into
singletons
(as
in
understanding
that
three
is
one
and
one
and
one,
or
,
Butterworth,
2005;
Sarama
&
Clements,
2009a;
Wagner,
Torgesen,
Laughon,
Simmons,
&
Rashotte,
1993).
Abilities
such
as
identifying
the
component
nature
of
both
words
and
numbers
have
been
identified
as
pri-
mary
predictors
of
the
ability
to
read
(Adams,
1990;
Stanovich
&
Siegel,
1994)
and
to
compute
(Geary,
1990,
1993).
Finally,
deficits
in
language/literacy
and
numerosity
and
competencies
are
often
comorbid
among
children
with
learning
disabilities
(Geary,
1993;
Hecht,
Torgesen,
Wagner,
&
Raschotte,
2001;
Snow,
Burns,
&
Griffin,
1998).
Thus,
the
two
domains
appear
to
develop
along
similar
paths.
A
second
example
of
possible
mutually
beneficial
influence
is
the
finding
that
preschoolers’
narrative
abilities,
particularly
their
ability
to
convey
and
relate
all
the
main
events
of
the
story
and
to
offer
a
perspective
on
the
events
in
the
story,
predicts
mathe-
matics
achievement
two
years
later
(O’Neill,
Pearce,
&
Pick,
2004).
Such
abilities
may
reflect
shared
relational
reasoning
competence
between
narration
and
mathematics.
Further,
beginning
reading
(combined
early
skills,
e.g.,
letter
recognition,
word
identification,
word
sounds)
is
highly
predictive
of
later
reading
(advanced
com-
petencies
such
as
evaluation)
only,
while
beginning
mathematics
scores
are
highly
predictive
of
both
subsequent
reading
and
math-
ematics
achievement
(Duncan
et
al.,
2007).
Given
the
correlational
nature
of
these
studies,
causal
relationships
cannot
be
assumed.
However,
they
suggest
that
mathematics
learning
can
make
a
unique
contribution
to
emergent
literacy.
Next,
consider
an
ostensibly
domain-limited
literacy
skill
such
as
letter
recognition.
Recognizing
such
symbols
requires
a
men-
tal
image
that
distinguishes
each
symbol
from
other
symbols
and
graphics.
This
requires
two
cognitive
competencies,
first
recog-
nizing
(implicitly
or
explicitly)
the
components
that
compose
the
symbol
(e.g.,
a
b
as
a
“stick
and
a
circle”)
and
second,
recognizing
how
the
components
fit
together
to
make
an
identifiably
unique
whole
(e.g.,
b
vs.
p,
Anderson,
2005;
Baroody,
1998).
These
compe-
tencies
are
also
integral
within
early
recognition,
composition,
and
decomposition
of
shapes;
competencies
that
predict
later
mathe-
matics
achievement
(Clements,
Swaminathan,
Hannibal,
&
Sarama,
1999).
Developing
these
geometric
processes
within
a
sufficiently
rich
mathematics
curriculum
may
therefore
serve
to
support
learn-
ing
across
academic
domains.
Supporting
this
hypothesis,
one
geometric
program
for
preschoolers
showed
positive
effects
on
later
measures
of
literacy
and
cognition
(Razel
&
Eylon,
1986,
1990).
From
a
similar
perspective,
Molfese,
Beswick,
Molnar,
and
Jacobi-Vessels
(2006)
reported
a
significant
relationship
between
low-income
preschool
children’s
ability
to
write
numerals
and
identify
letters.
4.
The
present
study
We
investigated
the
effects
of
a
preschool
mathematics
cur-
riculum
on
children’s
learning
of
language
and
one
measure
of
emergent
literacy.
Two
cluster
randomized
trial
(CRT)
experi-
ments
have
supported
the
effectiveness
of
a
research-based
early
mathematics
curriculum,
Building
Blocks
in
improving
mathematics
attainment
(Clements
&
Sarama,
2007c,
2008a),
and
a
small-scale
“proof
of
concept”
CRT
experiment
supported
the
efficacy
of
the
implementation
model,
TRIAD
(Sarama
et
al.,
2008).
This
study
is
part
of
a
CRT
study
of
the
effects
of
the
curriculum
and
especially
the
TRIAD
model
at
a
large
scale,
including
distal
geographical
areas
with
diverse
populations
(e.g.,
Clements,
Sarama,
Spitler,
Lange,
&
Wolfe,
2011).
We
addressed
four
research
questions.
The
first
two
test
our
main
hypotheses
regarding
the
effects
of
a
preschool
mathematics
curriculum,
Building
Blocks,
on
language
and
a
measure
of
emergent
literacy.
The
other
two
questions
test
our
hypotheses
about
pos-
sible
moderators
and
mediators,
respectively,
for
any
statistically
significant
effects.
Author's personal copy
J.
Sarama
et
al.
/
Early
Childhood
Research
Quarterly
27 (2012) 489–
502 491
4.1.
What
are
the
impacts
of
teaching
with
a
preschool
mathematics
curriculum,
Building
Blocks,
on
letter
recognition?
The
first
hypothesis
is
that
the
curriculum
will
strengthen
chil-
dren’s
ability
to
recognize
letters
for
two
reasons
(e.g.,
Baroody,
1998;
Gibson
&
Levin,
1975).
First,
the
curriculum
includes
substan-
tial
emphasis
on
geometric/spatial
competencies,
including
spatial
skills
that
may
support
children’s
ability
to
recognize,
distinguish,
and
write
letter
forms
(Clements
&
Sarama,
2007a).
Explicit
atten-
tion
and
language
within
the
curriculum
focus
on
identifying
basic
geometric
components,
such
as
line
segments
and
circles,
as
well
as
their
various
combinations
and
arrangements.
For
example,
geo-
metric
decomposition
and
composition
activities
include
building
shapes
from
components
(e.g.,
line
segments,
angles,
arcs),
build-
ing
mental
images
of
different
arrangements
of
those
components
(several
Building
Blocks
activities
were
inspired
by
the
aforemen-
tioned
program,
Razel
&
Eylon,
1986,
1990),
and
using
geometric
motions
(slides,
flips,
and
turns)
to
compose
geometric
shapes
to
form
superordinate
shapes
(e.g.,
putting
together
six
equilateral
tri-
angles
together
to
form
a
regular
hexagon).
In
all
cases,
results
are
verbally
described
and
compared.
Second,
more
prosaically,
the
curriculum
gives
considerable
attention
to
numerals
and
therefore
visual
attributes
of
alphanu-
meric
symbols
(numeral
recognition
uses
processes
similar
to
those
used
in
letter
recognition),
partially
because
numerals
help
children
abstract
and
symbolize
mathematical
ideas
and
also
because
the
computer
activities
require
children
to
read
numerals
to
respond
to
number
tasks
(e.g.,
how
many
objects
are
pictured
on
the
screen,
Clements
&
Sarama,
2009).
4.2.
What
are
the
impacts
of
teaching
with
a
preschool
mathematics
curriculum,
Building
Blocks,
on
early
oral
language?
The
second
hypothesis
is
that
the
mathematics
intervention’s
emphasis
on
communication,
connections
between
subject-matter
domains,
representations,
problem
solving,
and
reasoning
will
increase
children’s
oral
language
competence
(Clements
&
Sarama,
2008a;
National
Council
of
Teachers
of
Mathematics,
2006).
Specif-
ically,
we
expect
children
learning
mathematics
through
the
curriculum
to
outperform
the
control
group
on
measures
of
key
word
recall,
grammatical
complexity,
independence
of
narrative
retell,
and
inferential
reasoning.
Our
rationale
for
this
hypothesis
is
that
one
of
the
curriculum’s
pedagogical
emphases
is
on
children’s
problem
solving
and
artic-
ulation
and
discussion
of
their
mathematical
strategies.
Teachers
consistently
ask,
“How
do
you
know?”
and
“Why?”
Children
are
encouraged
to
first
answer
the
question
by
talking
with
a
peer,
then
share
with
the
small
or
large
group
(Clements
&
Sarama,
2007c).
Although
preschoolers’
initial
responses
are
often
general
and/or
irrelevant
(e.g.,
“I’m
smart”
or
“I
thought
it
in
my
head”),
with
modeling
from
the
teacher
and
peers,
most
begin
to
under-
stand
and
respond
with
veridical
explanations
of
their
cognitive
strategies
(cf.
Ericsson
&
Simon,
1993).
These
characteristics,
espe-
cially
the
questioning
practices,
could
promote
learning
beyond
mathematics,
specifically
in
language,
in
four
ways.
(a)
A
key
char-
acteristic
of
mathematical
thinking
and
learning
in
the
curriculum
and
consensus
documents
on
which
it
was
based
(National
Council
of
Teachers
of
Mathematics,
2000)
is
representing
and
express-
ing
mathematical
ideas
and
situations.
To
do
so,
children
need
to
use
new
concepts
and
terms
(e.g.,
“angle,”
“oblique”)
and
use
known
terms
in
new
ways
(e.g.,
“straight,”
“share”).
(b)
Providing
mathematics
descriptions
raises
the
levels
of
precision
of
language
usage
(e.g.,
“What
is
a
triangle?”)
and
often
requires
a
discussion
and
comparison
of
different
definitions
(“looks
like
an
arrow-
head”
vs.
“has
three
straight
sides”),
an
activity
rarely
mentioned,
even
in
literacy-rich
programs
(cf.
Preschool
Curriculum
Evaluation
Research
Consortium,
2008).
Such
activity
arguably
encourages
a
more
complex
and
thorough
processing
of
the
concepts
and
cor-
related
receptive
and
expressive
language
involved
in
classroom
discourse.
This
also
increases
sensitivity
to
the
importance
of
using
specific,
accurate
concepts
and
vocabulary.
(c)
Promoting
verbal
explanations
for
solutions
to
problems
requires
that
children
be
able
to
explain
the
cognitive
strategies
they
are
using
(Lampert
&
Cobb,
2003).
This
often
requires
an
increase
in
grammatical
com-
plexity
and
coherence.
(d)
Strategy
generation
itself
involves
the
use
and
description
of
reasoning
and
logical
structures,
such
as
categorizations,
sequencing,
quantification,
relationships,
compar-
isons,
conditionals,
and
patterns
(Franke,
Kazemi,
&
Battey,
2007;
Lampert
&
Cobb,
2003).
These
cognitive
abilities
are
foundational
to
mathematics
learning,
but
they
can
also
be
directly
related
to
sup-
porting
language—consider
how
understanding
stories
such
as
“The
Three
Bears”
involves
all
these;
for
example,
simple
numeration
(three),
categories
and
relationships
(size
of
bears
and
correspon-
dence
between
these
sizes
and
sizes
of
household
objects),
and
ordering
and
patterns
(a
sequential
plot
using
a
patterned
narrative
structure).
4.3.
Do
the
variables
of
gender
or
ethnic
group
moderate
the
relationship
between
treatment
group
and
language/literacy
outcomes?
Research
reviews
indicate
that
differences
between
girls
and
boys
in
early
mathematics
are
small
and
inconsistent
(Clements
&
Sarama,
2009)
and
curriculum
interventions
usually
report
no
interactions
with
gender
(Clements
&
Sarama,
2008a;
Preschool
Curriculum
Evaluation
Research
Consortium,
2008;
Sarama
et
al.,
2008).
However,
parents’
use
of
spatial
language
was
only
related
to
girls’,
not
boys’,
mental
transformation
skill
(McGuinness
&
Morley,
1991)
and
such
spatial
language
use
may
be
more
important
for
girls
(Cannon,
Levine,
&
Huttenlocher,
2007).
Thus,
it
is
reasonable
to
ascertain
whether
classroom-based
mathematics
experiences
have
different
effects
on
girls’
and
boys’
language
and
emergent
literacy.
This
question
is
exploratory;
however,
as
gender
appears
frequently
in
the
literature
related
to
mathematics
learning,
this
analysis
will
contribute
to
the
field.
Similarly,
there
has
been
no
consistent
evidence
of
differential
effectiveness
in
most
preschool
mathematics
curriculum
interven-
tions
for
children
of
different
racial/ethnic
identities.
However,
the
TRIAD/Building
Blocks
intervention
was
found
to
be
differen-
tially
effective
for
one
ethnic/racial
comparison:
children
identified
as
African-American
learned
less
than
other
children
in
the
same
control
classrooms
while
children
identified
as
African-American
learned
more
than
other
children
in
the
same
Building
Blocks
classrooms
(Sarama
&
Clements,
2009b).
It
may
be
that
the
intervention
is
particularly
effec-
tive
in
ameliorating
the
negative
effects
of
low
expectations
for
learning
for
children
of
African-American
descent
(cf.
National
Mathematics
Advisory
Panel,
2008).
If
so,
it
is
important
to
examine
the
degree
to
which
these
resiliency
effects
could
transfer
to
other
academic
domains.
In
a
similar
vein,
effects
may
be
different
for
other
sub-
groups,
such
as
Hispanic
children
and,
at
the
school
level,
schools
with
different
percentages
of
children
with
limited
English
profi-
ciency
(LEP)
and
of
those
receiving
free
or
reduced
school
lunch,
all
of
which
may
moderate
any
effect
of
the
treatment
(National
Research
Council,
2009).
4.4.
If
the
treatment
has
significant
impacts,
are
there
significant
indirect
effects
through
aspects
of
the
classroom
and
teaching
environment
on
the
relationship
between
children’s
assignment
to
treatment
group
and
their
mathematics
achievement?
The
quantity
of
mathematics
activities
and
the
quality
of
the
classroom’s
mathematics
environment,
the
total
number
of
Author's personal copy
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Sarama
et
al.
/
Early
Childhood
Research
Quarterly
27 (2012) 489–
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computers
children
were
using
to
engage
with
the
intervention’s
software,
and
the
number
of
different
mathematics
activities,
significantly
mediated
mathematics
learning
(Clements,
Sarama,
Spitler,
et
al.,
2011)
and
thus
may
mediate
any
relationship
between
experimental
condition
and
children’s
development
of
emergent
language
and
literacy
skills.
For
example,
teachers’
use
of
mathematics
vocabulary
and
“math
talk”
has
been
related
to
gains
in
child
mathematics
knowledge
(Klibanoff,
Levine,
Huttenlocher,
Vasilyeva,
&
Hedges,
2006).
The
Building
Blocks
curriculum
includes
a
print
curriculum
and
professional
development
com-
ponent
in
which
teachers
are
explicitly
trained
in
the
elicitation
of
explanations
for
solutions
to
mathematical
questions.
Focus
on
mathematizing
everyday
activities
in
the
classroom
and
the
use
of
explicit
techniques
to
elicit
mathematical
language
and
discussion
within
the
classroom
may
encourage
the
growth
of
a
classroom
climate
particularly
suited
for
the
development
of
mathematics
and
language
skills.
Aspects
of
such
a
climate
may
include
general
interactional
patterns,
but
also
the
number
of
mathematical
activities
(including
computer
activities,
which
have
been
shown
to
generate
more
academic
communication
and
language
than
other
classroom
contexts,
see
Clements
&
Sarama,
2003,
2008b).
5.
Method
5.1.
Participants
The
participants
used
in
these
analyses
were
from
the
first
year
of
the
large-scale
research
project,
Scaling-up
TRIAD:
Teaching
Early
Mathematics
for
Understanding
with
Trajectories
and
Technologies.
The
two
participating
school
districts
were
targeted
because
they
traditionally
serve
children
from
low-resource
communities.
To
be
involved
in
the
study,
the
districts
were
required
to
agree
to
ran-
domly
assign
all
eligible
schools
(those
whose
preschool
teachers
had
not
worked
in
any
previous
Building
Blocks
project)
to
treat-
ment
groups.
District-level
adoption
was
used
because
the
intent
was
to
measure
impacts
of
the
curriculum
“at
scale;”
that
is,
to
determine
how
the
curriculum
might
function
in
practice
when
it
is
adopted
district-wide
(involving
all
teachers,
not
just
volun-
teers).
Using
a
table
of
random
numbers,
all
eligible
schools
within
each
district
were
publicly
(supervised
by
two
school
administra-
tors
and
three
staff
members)
assigned
to
one
of
three
treatment
groups:
Building
Blocks,
the
Building
Blocks
plus
follow
through,
or
the
control
group.
The
first
two
treatment
groups
were
identical
for
the
purposes
of
the
present
study.
In
subsequent
years,
the
Building
Blocks
plus
follow-through
group
was
characterized
by
additional
training
for
kindergarten
teachers
but
this
did
not
occur
until
after
the
current
study’s
data
were
collected
and
analyzed.
There-
fore,
in
the
current
analysis,
only
two
groups
were
compared,
26
Building
Blocks
and
17
control
schools.
Up
to
15
children
from
each
class
whose
parents
provided
consent
were
randomly
selected
to
participate.
The
present
study
involved
two
subsets
of
the
full
original
sam-
ple.
The
first
included
all
those
for
whom
we
have
letter
recognition
scores:
1037
children
(50%
female;
56%
African
American,
19%
His-
panic,
19%
White)
from
38
schools
(24
Building
Blocks,
15
control),
out
of
the
1305
children
in
the
original
randomly-assigned
42
schools
(26
Building
Blocks,
17
control)
across
both
districts.
The
second
subset
consists
of
1027
children
(52%
female;
54%
African
American,
21%
Hispanic,
19%
White),
who
were
assessed
by
the
research
team
on
a
measure
of
oral
language.
Of
the
total
1,305
children
participating
in
the
larger
study,
approximately
80%
were
represented
on
both
language
and
literacy
measures.
Table
1
summarizes
the
demographics
of
each
sample.
We
had
power
of
.80
to
detect
effects
of
d
=
.10
or
less
with
our
sample
of
42
clusters
(schools),
and
an
average
of
24
children
in
each
cluster
(school).
5.2.
Curricula
5.2.1.
Treatment
math
curriculum
Building
Blocks
(Clements
&
Sarama,
2007b)
is
a
National
Science
Foundation-funded
mathematics
curriculum
based
on
a
comprehensive
Curriculum
Research
Framework
(Clements,
2007).
The
curriculum
focuses
on
two
main
domains
of
mathemat-
ics,
number
and
geometry/spatial
skills;
woven
throughout
these
domains
are
subthemes,
such
as
sorting
and
sequencing,
as
well
as
mathematical
processes,
both
general,
such
as
communicating,
reasoning,
representing,
and
problem
solving
and
the
overarching
mathematizing,
and
specific,
such
as
number
or
shape
composition
and
patterning.
Together,
these
concepts,
skills,
and
processes
were
determined
to
be
critical
mathematical
building
blocks.
Building
Blocks
instructional
approach
is
finding
the
mathe-
matics
in,
and
developing
mathematics
from,
children’s
activity
(Clements
&
Sarama,
2007b).
Children
are
guided
to
extend
and
mathematize
(i.e.,
explicate,
articulate,
and
describe)
their
every-
day
activities,
from
block
building
to
art
to
songs
to
puzzles,
in
mathematical
language.
Thus,
the
processes
of
communicating
and
reasoning,
and
mathematizing
are
continually
developed
through
discussions.
Teachers
ask
students
to
solve
problems
or
tasks,
and
then
ask
such
questions
as
“How
do
you
know?,”
“Why?,”
and
“Can
you
tell
how
you
figured
that
out?”
Activities
include
whole
group
(about
10
min
per
day),
small
group
(10–15
min
once
per
week
for
each
child,
working
in
groups
of
four
with
the
teacher),
and
cen-
ters
(including
a
computer
center,
5–10
min
twice
a
week
for
each
child).
The
curriculum
includes
30
weeks
of
instruction;
teach-
ers
completed
from
24
to
30
weeks.
More
detailed
descriptions
Table
1
Demographics
of
participants
with
oral
language
and
letter
recognition
scores.
Children
Teachers
Schools
Total
children
(males)
Agea(SD)
Ethnicity
Total
teachers
Total
schools
SESbELLc
African
American
Hispanic
White
Asian/
Pacific
Native
American
Other
Students
with
oral
language
scores
Building
Blocks
726
(346)
64
(4.2)
55%
20%
19%
3%
2%
<1%
71
26
82.4%
11.8%
Control
301
(144)
64
(4.0)
51%
24%
17%
3%
2%
<1%
34
17
82.3%
16.2%
Total
1,027
(490)
63.9
(4.09)
54%
21%
18%
4%
2%
<1%
105
42
82.3%
13.5%
Students
with
letter
recognition
scores
Building
Blocks
714
(355)
59.3
(4.07)
58%
17%
21%
3%
1%
<1%
67
24
82.9%
10.9%
Control
323
(161)
59.4
(4.05)
52%
24%
16%
6%
1%
<1%
30
15
84.1%
14.5%
Total
1,037
(516)
59.3
(4.06)
56%
19%
19%
4%
1%
<1%
97
38
83.4%
12.2%
aAge
in
months
at
time
of
assessment.
bMean
percent
free
or
reduced
lunch
in
schools.
cMean
percent
English
language
learning
(ELL)
in
schools.
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of
Building
Blocks
are
available
(Clements
&
Sarama,
2004,
2007b,
2007c,
2011b).
CRT
evaluations
of
the
curriculum
have
yielded
effect
sizes
ranging
from
.50
to
2.10
(Clements
&
Sarama,
2007c,
2008a).
5.2.2.
District’s
preschool
literacy
curricula
The
first
district
implemented
the
Houghton-Mifflin
pre-K
liter-
acy
curriculum,
Where
Bright
Futures
Begin.
The
curriculum
features
ten
thematic
segments
(e.g.,
Animals
Everywhere),
each
consisting
of
three
weeks
of
theme-related
instruction.
The
flexible
lesson
struc-
ture
is
designed
to
develop
critical
early
learning
skills,
including
oral
language,
listening
comprehension,
vocabulary,
phonologi-
cal
awareness,
print
awareness,
and
alphabet
knowledge.
It
also
teaches
early
mathematics
skills
on
a
daily
basis,
with
multiple
top-
ics
taught
during
small
group
and
whole
group
times.
The
teacher
manual
includes
support
for
teaching
English
language
learners
(ELL)
and
for
implementing
formative
assessment
strategies
(see
www.hmhschool.com).
Professional
development
for
Where
Bright
Futures
Begin
was
provided
for
teachers
three
times
during
the
year,
each
time
with
an
emphasis
on
literacy.
The
second
district
implemented
a
comprehensive,
inte-
grated
curriculum,
Opening
the
World
of
Learning
(OWL),
which
was
designed
for
full
day
implementation,
with
components
added
to
language
and
literacy,
including
mathematics,
science,
social
studies,
art,
and
social–emotional
development.
OWL
mathematics
activities
were
presented
as
small-group
activities.
Components
included
suggested
vocabulary,
with
procedures
provided
for
extra
support
as
well
as
extension
activities
(see
www.pearsonlearning.com/microsites/owl/main.cfm).
Six
profes-
sional
development
sessions
on
OWL
were
provided
during
the
year.
5.2.3.
Fidelity
of
implementation
and
effects
on
mathematics
A
previous
report
(Clements,
Sarama,
Spitler,
et
al.,
2011)
docu-
mented
that
teachers
implemented
the
curriculum
with
adequate
fidelity.
On
a
5-point
Likert
scale
items,
with
2
as
strongly
disagree
and
+2
as
strongly
agree,
the
mode
was
1,
and
the
mean
was
.77
in
fall
and
.86
in
spring.
Less
than
15%
of
teachers
had
an
average
below
.50
(Clements,
Sarama,
Spitler,
et
al.,
2011,
p.
141).
Children
in
the
Building
Blocks
group
learned
more
mathematics
than
the
children
in
the
control
group
(effect
size,
g
=
.72).
5.3.
Measures
5.3.1.
Letter
recognition
Schools
administered
assessments
of
letter
recognition
at
the
end
of
the
pre-K
year.
The
assessments
were
PALS-PreK
(Invernizzi,
Sullivan,
Swank,
&
Meier,
2004)
and
MCLASS:CIRCLE
(Landry,
2007).
Both
measures
have
undergone
significant
development
and
piloting,
and
are
widely
used
as
early
childhood
emergent
literacy
screeners
(Invernizzi
et
al.,
2004;
Landry,
2007).
PALS-PreK
has
good
inter-rater
reliability
(.99
across
all
tasks),
split-half
reli-
ability
(Guttman
split-half
reliability
ranging
from
.71
to
.94
across
tasks),
and
internal
consistency
(Cronbach’s
alpha
ranging
from
.75
to
.93,
Invernizzi
et
al.,
2004).
The
MCLASS:CIRCLE
has
good
internal
consistency
(Cronbach’s
alpha
ranging
from
.90
to
.93),
high
stability
of
letter
recognition
over
time
(ICCs
ranging
between
.71
and
.76),
and
a
strong
relationship
between
letter
recognition
scores
and
print
awareness
on
the
Preschool
Comprehensive
Test
of
Phonological
and
Print
Processing
(PCTOPPP,
Wagner,
Torgesen,
&
Rashotte,
1999)
was
.76
(Swank
et
al.,
2006).
Both
assessments
measure
recognition
of
upper
and
lowercase
letters
by
showing
letters
of
the
alphabet
and
asking
them
to
name
each
letter.
The
important
methodological
difference
between
these
two
assess-
ments
was
that
the
assessments
were
timed
in
the
first
site
and
untimed
in
the
second.
This
led
to
a
significant
difference
in
mean
scores
between
the
two
sites;
scores
were
predictably
higher
in
the
second.
Therefore,
we
calculated
z-scores
separately
for
each
site
based
on
the
mean
and
standard
deviation
of
the
raw
letters
correct.
These
standard
scores
were
utilized
in
all
subsequent
analyses.
5.3.2.
Oral
language
We
chose
to
use
The
Renfrew
Bus
Story
North
American
Edi-
tion
(RBS;
Glasgow
&
Cowley,
1994),
a
standardized
measure
of
oral
language
using
narrative
retell,
to
evaluate
children’s
oral
language.
The
assessment
involves
telling
a
child
a
story,
and
then
asking
the
child
to
retell
the
story
using
the
pictures
in
the
wordless
storybook
as
prompts.
At
the
end
of
the
story,
assessors
asked
children
two
inferential
questions.
We
assessed
oral
language
in
the
context
of
a
story
retell
task
because
this
type
of
assessment
is
an
ecologically
valid
method
of
eliciting
language
from
children
as
most
are
familiar
with
the
requirements
and
procedures
of
storytelling;
most
having
read
sto-
ries
in
school
or
at
home
by
an
early
age
(Botting,
2002;
Curenton,
2004;
Fey,
Catts,
Proctor-Williams,
Tomblin,
&
Zhang,
2004).
The
resultant
scores
from
the
Bus
Story
assessment
give
us
indicators
of
aspects
of
a
child’s
oral
language,
such
as
sentence
length
or
complexity
of
utterances
that
are
present
in
the
child’s
story
retell.
Previous
research
has
demonstrated
strong
predictive
relation-
ships
with
literacy
and
language
skills
three
years
after
initial
assessment
(Pankratz
et
al.,
2007).
The
U.K.
version,
on
which
the
North
American
version
was
based,
has
extensive
validity
evidence,
including
research
demonstrating
its
ability
to
predict
adolescent
academic
performance
from
performance
on
the
RBS
at
four
years
of
age
(Stothard,
Snowling,
Bishop,
Chipchase,
&
Kaplan,
1998).
The
North
American
version
is
highly
correlated
with
the
United
Kingdom
version
on
the
information
(.98)
and
sentence
length
(.98)
subtests,
as
reported
in
the
North
American
version
man-
ual
(RBS,
Glasgow
&
Cowley,
1994).
Test–retest
reliability
reported
in
the
manual
ranged
from
.58
for
complexity
to
.79
for
sentence
length
(Glasgow
&
Cowley,
1994).
Subscales
of
the
RBS
were
found
(Pankratz
et
al.,
2007)
to
be
strongly
related
to
another
measure
of
oral
language,
the
Oral
and
Written
Language
Scales
(OWLS,
Carrow-Woolfolk,
1996).
The
RBS
sentence
length
score
was
signif-
icantly
related
to
the
OWLS
oral
composite
score
(r
=
.89,
p
<
.0001),
and
the
OWLS
total
score
(r
=
82,
p
=
0015),
and
the
information
score
was
significantly
related
to
the
OWLS
oral
composite
score
(r
=
.79,
p
=
.0024,
Pankratz
et
al.,
2007).
The
stories
that
children
retell
during
the
RBS
assessment
are
transcribed
and
scored
on
a
series
of
dimensions
by
trained
coders
naïve
to
the
group
assignment
of
the
child.
The
dimensions
on
which
the
transcribed
stories
are
scored
consist
of
three
primary
subtests
rating
the
content
of
the
story
retells,
including
information,
complexity,
and
sentence
length.
Three
additional
subtests
were
two
inferential
reasoning
items
(emotive
and
practical
content,
respectively)
and
independence.
The
validity
of
the
transcribing
procedure
for
the
RBS
was
determined
in
the
present
study
by
evaluating
a
one-way
single
measure
intraclass
correlation
(ICC)
between
a
random
7
and
10%
sample
of
stories
that
were
transcribed
by
two
different
people
(LeBreton
&
Senter,
2008).
The
two
transcriptions
were
expert
scored
by
a
researcher,
and
the
ICCs
between
the
pairs
of
scores
on
the
subtests,
which
represented
the
difference
in
transcriptions
from
the
tapes
(audio
and
videotape),
were
.99
for
information,
.97
for
Sentence
length,
.94
for
complexity.
The
information
subtest
is
a
measure
of
how
many
of
the
32
key
concepts
from
the
original
story
the
children
used
in
their
story
retell,
with
some
key
concepts
being
worth
two
points.
The
total
raw
score,
with
a
maximum
possible
score
of
52,
is
then
converted
to
a
standardized
score.
To
score
well
on
this
mea-
sure,
children
must
remember
key
concepts
(memory),
know
the
meaning
of
the
words
representing
the
concepts
well
enough
to
Author's personal copy
494 J.
Sarama
et
al.
/
Early
Childhood
Research
Quarterly
27 (2012) 489–
502
use
them
appropriately
in
their
retell
(vocabulary),
and
have
a
sufficient
understanding
of
story
structure
to
use
the
words
or
concepts
in
the
right
sequence
(book/story
knowledge).
Thus,
this
subtest
represents
proficiency
for
a
set
of
integrated
skills.
The
information
subtest
is
correlated
with
age
(Glasgow
&
Cowley,
1994),
and
scores
on
this
dimension
have
been
shown
to
predict
future
academic
skill
(Pankratz
et
al.,
2007).
For
this
study,
we
attempted
to
improve
the
precision
of
the
measurement
by
submitting
the
information
items
to
Rasch
analy-
sis.
This
was
the
only
subtest
appropriate
for
Rasch
analysis
for
two
reasons.
First,
the
other
subtests
include
a
single
item,
obviating
the
use
of
Rasch
analyses.
Second,
combining
subtests
would
not
be
desirable
as
each
provides
unique
information
about
components
of
oral
language.
The
Rasch
analysis
supported
a
unidimensional
construct,
although
some
of
the
partial
credit
items,
with
possible
scores
of
0,
1,
or
2,
required
recoding.
All
but
three
partial-credit
items
were
recoded
such
that
they
either
received
0
or
1.
In
these
cases,
all
responses
that
would
have
received
a
2
were
given
a
1,
and
all
0s
remained
0s.
The
final
Rasch
model
for
the
information
scale,
with
recoded
partial
credit
variables,
had
an
item-reliability
of
.99
and
a
person
reliability
of
.79.
The
slightly
lower
but
accept-
able
(Bond
&
Fox,
2001)
person
reliability
may
have
been
due
to
the
overrepresentation
of
below-average
performing
children
and
the
limited
number
of
items.
The
two
methods
of
coding
the
infor-
mation
scores
(i.e.,
standard
score
and
Rasch
scores)
were
highly
correlated
(r
=
.88).
Inter-rater
reliability
was
calculated
using
ICC
to
determine
scoring
agreement
between
two
different
scorers
using
the
same
transcriptions
(random
10%
sample).
One-way
intraclass
correlation
with
single
measures
was
used
to
account
for
error
due
to
having
more
than
two
raters,
but
not
always
the
same
two
raters
rating
each
target.
Agreement
was
.97
for
information.
Complexity
is
measured
by
the
number
of
complex
utterances
children
use
in
their
story
retells.
Complex
utterances
are
defined
as
those
that
include
a
subordinate
clause
or
a
relative
clause.
Complex
utterance
use
is
correlated
with
age
(Glasgow
&
Cowley,
1994).
As
with
information,
inter-rater
reliability
was
calculated
for
a
random
10%
sample,
and
was
.81
for
complexity.
Sentence
length
is
also
related
to
age
(Glasgow
&
Cowley,
1994).
This
particular
measure
of
sentence
length,
the
mean
of
the
five
longest
utterances,
although
correlated
with
indicators
of
language
development,
is
a
quicker
yet
less
reliable
adaptation
of
the
more
commonly
used
measure
of
oral
language
utterance
length,
mean
length
of
utterance
(MLU).
MLU
is
not
reasonable
for
use
with
the
RBS
because
reliable
measures
of
MLU
require
a
minimum
of
50–100
utterances
(Eisenberg,
Fersko,
&
Lundgren,
2001),
and
the
RBS
is
intended
to
be
a
brief
oral
language
screen-
ing
tool
that
often
elicits
fewer
than
50
utterances.
Using
the
same
random
10%
sample
of
transcripts
as
was
used
for
informa-
tion
and
complexity,
inter-rater
agreement
was
.94
for
sentence
length.
The
inferential
reasoning
scale
includes
children’s
answers
to
two
inferential
questions
at
the
end
of
the
assessment.
The
single,
original
question
from
the
manual
was
“Do
you
think
the
bus
was
happy
to
be
on
the
road
again?
Why
(or
Why
not)?”
This
question
requires
children
to
make
inferences
about
emotion.
A
second
question
that
requires
inferences
that
are
more
practical
in
nature
was
added
to
this
administration:
“How
do
you
think
the
driver
found
the
bus?”
There
are
no
explicit
answers
to
these
questions
in
the
story;
therefore,
the
child
must
be
able
to
think
inferentially
to
answer
the
questions.
It
should
be
noted
that
validation
on
this
scale
was
not
reported
in
the
manual,
and
the
scores
are
based
only
on
two
questions.
However,
as
described
below,
we
attempted
to
bolster
what
was
provided
in
the
manual
on
this
scale
by
increasing
the
detail
with
which
the
responses
were
analyzed.
This
exploratory
work
may
lay
the
groundwork
for
future
development
of
the
scale.
Children’s
raw
answers
to
the
inferential
reasoning
questions
on
the
RBS
were
recoded
based
on
a
coding
scheme
created
in
addition
to
the
one
outlined
in
the
manual.
The
manual
guidelines
only
provide
limited
suggestions
for
how
to
decide
if
an
answer
is
“acceptable”
or
“unacceptable.”
For
example,
an
answer
is
deemed
acceptable
if
it
is
a
“moral
explanation.”
We
therefore
created
a
second
scheme
to
include
a
series
of
scores
for
each
inferential
question.
We
devised
the
system
based
on
themes
that
emerged
from
the
data,
and
subsequently,
each
response
was
given
a
rating
comprised
of
a
summary
of
scores
on
the
following:
causal
plau-
sibility,
reference
to
story,
empathetic,
practical,
and
moral.
Causal
plausibility
captured
the
degree
of
understanding
of
causal
reason-
ing
in
the
child’s
retell.
An
example
of
an
answer
receiving
credit
on
this
scale
is
the
following
answer
to
the
second
inferential
ques-
tion:
“The
driver
found
it
because
he
found
his
tracks.”
This
child
found
a
plausible
reason
that
the
driver
might
have
found
the
bus,
when
no
reason
was
given
in
the
story.
Reference
to
story
repre-
sented
the
degree
to
which
the
child
made
reference
to
the
original
story
in
his
or
her
answer
to
the
question.
The
following
answer
obtained
credit
on
this
scale
because
the
answer
refers
explicitly
to
events
from
the
story:
“She
was
running
fast,
saw
bus
in
water,
jumped
over
gate
too.”
If
the
child
showed
evidence
of
empathizing
with
the
characters
in
the
story,
credit
was
given
for
the
empathetic
scale.
For
example,
a
response
that
received
credit
on
this
scale
is
one
child’s
response
to
the
first
inferential
question:
“Cause
of
when
he
went
in
the
water
he
was
sad.”
Responses
that
showed
evidence
of
practical
reasoning
were
given
credit
on
the
practical
scale.
A
response
to
the
first
inferential
question
given
credit
on
this
scale
is,
“Because
he
was
all
clean
and
didn’t
want
to
get
all
mucky
and
icky.”
The
child
was
given
credit
on
the
moral
scale
if
their
responses
included
references
to
moral
reasoning.
For
exam-
ple,
the
following
response
to
the
first
inferential
question
that
got
credit
on
the
moral
scale
is,
“Because
now
he
knows
that
he
can’t
be
naughty
again.”
Scores
on
item
components
one
and
two
range
from
0
to
2
points,
where
“0”
means
the
answer
to
the
inferential
question
does
not
possess
the
given
property,
“1”
means
that
the
answer
possess
the
property
to
a
limited
extent,
and
“2”
signifies
that
the
response
demonstrates
an
advanced
form
of
this
property.
For
example,
a
response
coded
with
a
“1”
on
reference
to
story
means
that
there
was
an
indirect
or
weak
connection
to
the
story
evident
in
the
child’s
response.
Components
three
to
five
were
either
scored
“0”
if
the
answer
did
not
have
that
property
or
“1”
if
the
answer
did
have
that
property.
The
total
raw
summary
scores
on
this
measure
ranged
between
0
and
5
for