Reading, Mathematics, and Science
Instructional Strategies for English
Language Learners with Disabilities:
Insights from Educators Nationwide
ELLs with Disabilities
Report 19
Manuel Barrera,
Vitaliy Shyyan, Kristi K. Liu, Martha L.
Thurlow
September 2008
All rights reserved. Any
or all portions of this document may be
reproduced and distributed without prior
permission, provided the source is cited
as:
Barrera, M., Shyyan, V.,
Liu, K. K., & Thurlow, M. L. (2008).
Reading, mathematics, and science
instructional strategies for English
language learners with disabilities:
Insights from educators nationwide (ELLs
with Disabilities Report 19).
Minneapolis, MN: University of
Minnesota, National Center on
Educational Outcomes.
Table of Contents
Overview
Method
Results
Discussion
References
Appendix A
Appendix B
Appendix C
Overview
Introduction
The Elementary and
Secondary Education Act of 2001—No Child
Left Behind (NCLB)—has set a standard of
accountability for the education of the
broad range of learners in U.S. schools,
including English language learners (ELLs)
served under Individualized Education
Programs (IEPs) in special education.
The most modest estimates indicate that
9% of the total ELL population is served
in special education programs (Zehler,
Hopstock, Fleischman, Pendzick, &
Stephenson, 2003).
Predictably, academic
outcomes for this growing student
population have not kept pace (Albus,
Thurlow, Barrera, Guven, & Shyyan, 2004;
Liu, Barrera, Thurlow, Guven, & Shyyan,
2005; Liu, Thurlow, Barrera, Guven, &
Shyyan, 2005). State graduation
standards typically are not designed
with the additional supports that could
guide educators in the use of
instructional strategies for the range
of diverse learners in schools (Albus,
Thurlow, & Clapper, 2007). Current
research on instructional practices for
ELLs is scarce and often inferential
from the practices employed for more
general populations of learners (cf.
Thurlow, Albus, Shyyan, Liu, & Barrera,
2004). As a result, educational
practitioners are likely to generate
instructional strategies based on their
individual professional experiences,
colleagues, and other sources of
information including agencies providing
technical assistance and professional
development.
The difficulty here is
that teachers may access a wide range of
sources with varying degrees of accuracy
and relevancy to support the
instructional demands of students whose
education is hampered by both a lack of
fluency in English and
disability-related learning problems. In
a recent study, Thurlow and colleagues (Thurlow
et al., 2004) examined the nature of the
teaching methods used by practitioners
in a Midwestern state serving ELLs with
disabilities. They found that some of
the strategies identified for use with
ELLs with and without disabilities
consisted mainly of more generic
teaching principles such as "pre-,
during-, and post-reading strategies" (Thurlow
et al., 2004, p. 10). Moreover, there
seemed to be little consensus about how
a "strategy" is defined; hence, some
identified strategies consisted of a
combination of methods, approaches, and
learning activities. In no case did
educators seem to have access to methods
specifically identified to address the
needs of ELLs with disabilities. Of note
was that a list of expert-determined
methods and strategies identified from a
review of research (cf. Gersten & Baker,
2000; Gersten, Baker, & Marks, 1998) on
the instruction of ELLs with
disabilities (e.g., direct teaching of
vocabulary, curriculum-based probes, and
graphic organizers) received
significantly lower appraisals by
classroom practitioners than their own
broadly conceptualized versions of
strategies. Moreover, the educators
involved in the study were a voluntary
sample from available schools and school
districts at a time when there were few
criteria or existing data for how to
measure the efficacy of schools for
demonstrating improved educational
outcomes among struggling learners such
as ELLs with disabilities. Hence, the
strategies, activities—teaching
principles—identified in the Thurlow et
al. (2004) study, while an important
contribution to current knowledge of
teacher practices, could only cautiously
be described for use among other
practitioners.
The primary lessons of
our previous work, therefore, were the
needs to (a) operationalize more
directly the nature of the strategies
that teachers employ in service to ELLs
with disabilities, (b) provide a
broader, preferably more random sample
of educators of national scope, and
(c) identify, if possible, educators who
have, in some way, demonstrated
effective practices with clearly
discernible results in improving
outcomes for ELLs with disabilities.
From these experiences, it was clear
that the present study should examine
current teacher practices within
successful school settings. This
approach seems necessary given the
observed difficulties of current models
of "research to practice" where the
validated research is minimally used by
practitioners, at least directly
(Boardman, Arguelles, Vaughn, Hughes, &
Klingner, 2005; Landrum, Cook,
Tankersley, & Fitzgerald, 2007; cf.
National Science Foundation, 2002). In
this way, it may be possible to better
reconcile current research with
established practices and provide a
stronger conduit between researchers and
practitioners.
In this new study,
conducted in 2005–06, our standard for
determining a successful school setting
was to identify schools that had high
concentrations of ELLs and that also had
reported meeting "adequate yearly
progress" under the guidelines of the No
Child Left Behind Act (2001). The focus
was to identify teacher-initiated
instructional strategies currently
preferred by practitioners who daily
work with ELLs with disabilities. The
findings generated in this study could
potentially confirm strategies
identified in our earlier work (Thurlow
et al., 2004) through the perspective of
educators who have had observed success
in meeting grade-level academic
standards and adequate yearly progress
demonstrated through statewide academic
assessments. Second, new strategies
specific to these hypothesized
successful settings could be identified,
thereby providing a wider range of
potential methods. Third, the compiled
strategies might provide a way to
examine congruities and incongruities
between established research and the
perceptions of successful practice by
those who actually work with these
students every day. Finally, the
identified strategies might provide a
way to operationalize what researchers
in this field are finding through their
systematic examinations.
This study focused on
the instructional strategies employed at
the middle and junior high school level.
Teaching and learning at the middle
school level have been found
particularly challenging, perhaps
because the curriculum places greater
cognitive demands on emerging
adolescents at a developmental stage
when students, especially those who have
already been struggling, can be at
higher risk for academic failure (Mikow-Porto,
Humphries, Egelson, O’Connell, & Teague,
2004). ELLs with disabilities could be
at particular risk given the combination
of learning challenges they may
encounter during the middle school
years.
Definitions of Terms
We began by defining key
terms: "English language learners with
disabilities" and "instructional
strategy." We employed the following
definitions:
English language
learners with disabilities are
students whose primary or native
language is not English, who have
difficulty in using English (i.e.,
reading, writing, speaking, and
listening), and who have an
Individualized Education Program (IEP).
The IEP requires a description of the
student’s unique educational needs and
contains a statement of his or her
present level of performance and
measurable educational goals and
objectives.
An instructional
strategy is a purposeful activity to
engage learners in acquiring new
behaviors or knowledge. Such a strategy
should have clearly defined steps or a
clear description of what the teacher
does.
Our definition of
instructional strategy was based on a
review of scholarship and research in
the areas of instructional design,
instructional methodologies, and English
as a second language (ESL) instruction.
Given the observed lack of clarity
regarding what a strategy constitutes,
we thought it important to develop a
thorough understanding of this term and
arrive at a firm definition that would
help readers and practitioners in the
field comprehend the nature of our
findings.
As with the strategy
term, there is an ambiguity about the
population of students under study given
the problems of appropriate
identification of English language
learners who may also have disabilities
(cf. Artiles & Ortiz, 2002; Barrera,
2006; Ortiz, 1997). Thus, because of the
potential disagreements about whether
ELLs with disabilities are appropriately
identified, we thought it necessary to
be more precise by describing the
population in this study as those
English language learners for whom an
individualized education program (IEP)
had been written for services within
special education.
Table of Contents
Method
Content
Focus and Research Question
Reading, mathematics,
and science are three content areas
currently in focus for assessment of
children under the provisions of the
NCLB. Many states engage in continuous
review and update of their reading,
mathematics, and science grade-level and
graduation standards. Hence, this study
examined how teachers provide
instruction in these three areas. The
following research question served as
our focus:
In schools
throughout the U.S. that are making
greater than average progress with
English language learners, what
instructional strategies do teachers
recommend for improving the academic
achievement of middle and junior
high school English language
learners with IEPs in
standards-based reading,
mathematics, and science
instruction?
Sampling
To build a national
sample, we used a stratified random
selection in a multi-stage sampling
process. At the beginning of the
procedure, data from the National
Clearinghouse for English Language
Acquisition (accessed in 2004) were used
to identify the 10 states with the
highest and 10 states with the lowest
ELL populations. Next, five states were
randomly drawn from each pool to
identify five states with the highest
and five states with the lowest ELL
populations where our research was to be
conducted. The criterion for determining
participation in this study was to
identify schools in the target states
that had demonstrated "Adequate Yearly
Progress" (AYP) under the conditions set
in the No Child Left Behind Act, across
all learner groups, including students
with disabilities and English language
learners. We used 2003–2004 middle and
junior high school (grades 6–9) data
found on state department of education
Web sites to select schools making
Adequate Yearly Progress that served the
largest possible population of ELLs. The
size of the general ELL population was
chosen as a criterion because schools
often do not directly cite the size of
the population of ELLs with
disabilities. The principals of these
schools were contacted first by phone
and then with written invitations
(usually via electronic mail) to
participate in the study. Those schools
agreeing to participate were visited by
a research team. Our efforts resulted in
sending research teams to three schools
in the West Region, two schools in the
Midwest Region, one school in the
Northeast Region, and four schools in
the South Region of the country. Figure
1 presents the geographic distribution
of states where the study was conducted.
Figure 1. Locations of
Study Sites

Research
Team
The research team
consisted of seven staff of the National
Center on Educational Outcomes. Teams of
three researchers traveled to the
schools and conducted the MACB sessions
with teachers. Three researchers had
backgrounds in both research and
technical assistance. They were
well-versed in ways to incorporate
diverse learners in state standards and
accountability movements. Five members
had experience as educators. Two of
those five team members were also
university-affiliated teacher educators
with expertise in education policy and
bilingual special education,
respectively.
At the data collection
sessions, one researcher had specific
responsibility for leading the MACB
process. A second researcher entered
data into a spreadsheet, and a third
took notes on the definitions of
additional strategies nominated by
teachers.
Participants
Professional Background
and Experience
Each MACB session
involved a group of teachers chosen with
the guidance of the school principal or
the principal’s designee. An important
component of the MACB process is to
ensure that a wide spectrum of
viewpoints on the issues examined is
included (Vanderwood & Erickson, 1994a,
1994b). Thus, the primary criterion for
choosing focus group members was that
each had some responsibility in the
instruction or related services for ELLs
with disabilities. The study sample
included 67 educators, primarily females
(n = 58; 86.6%), from 10
highly-achieving schools in 10 states
around the country. Thirty-five
participants were educators from five
states with high ELL student populations
and 32 educators were from five states
with low ELL student populations.
Figure 2 illustrates
that study participants overall were
largely experienced teachers. A majority
of the 67 participants (n = 37) had more
than 10 years of total teaching
experience. An additional 15 teachers
had between 6 and 10 years of
professional experience. Fewer teachers
were comparatively new to the
profession, with 13 participants having
1 to 5 years experience and two
participants being first-year teachers.
Additionally, Figure 2 shows that
slightly more than half of the
participants (n = 34) had held their
current position for 5 or fewer years (n
= 24 at 1 to 5 years; n = 10 under 1
year). The remainder (n = 33) had been
working in the current positions for 6
or more years (n = 18 at 6 to 10 years;
n = 15 at over 10 years).
Figure 2. Professional
Experience of Participants

As shown in Figure 3,
the teachers comprised a broadly
representative cross-section of general
education (n = 24; 36%), special
education (n = 10; 15%), and
ESL/Bilingual Education specialists (n =
16; 24%). The remaining educators (n =
17; 25%) either had combined several
positions or held administrative
positions titles such as Special
Education or ESL Directors.
Figure 3. Job Title of
Participants

Table 1 summarizes
information about content areas taught
by our research participants. The
largest subgroup of study participants
taught middle school reading or
mathematics (n = 24; 36%), followed by
those who taught English Language Arts
(n = 16; 24%). Smaller numbers of
teachers taught Social Studies (n = 13;
19%), Science (n = 12; 18%), and Writing
(n = 7; 10%).
In some cases,
participants taught more than one
content area.
Table 1. Content Areas
Taught by Educators
|
Content Area |
Number |
Percent |
|
Reading
|
24
|
36
|
|
Mathematics
|
24
|
36
|
|
Science
|
12
|
18
|
|
Language Arts
|
16
|
24
|
|
ESL
|
13
|
19
|
|
Writing
|
7
|
10
|
|
Social Studies
|
13
|
19
|
More than 1/3 of
participants (34%) reported that they
served ELLs, students with disabilities,
ELLs with disabilities, and general
education students in their classes.
Fifteen percent of participants worked
only with ELLs, and equal percentages
(8%) served either ELLs, students with
disabilities, and general education
students, or just ELLs and general
education students.
Language Backgrounds of
ELLs Served
As highlighted by Figure
4, the largest group of study
participants served ELLs whose native
language was Spanish (n = 27; 40%).
However, participants also reported
working with students from the following
language groups: Native American
languages (n = 10; 15%), Russian (n =
10; 15%), Chinese (n = 9; 13%),
Ukrainian (n = 9; 13%), Arabic (n = 8;
12%), Vietnamese (n = 7; 10%), Korean (n
= 6; 9%), Urdu (n = 6; 9%), French (n =
5; 7%), Portuguese (n = 5; 7%), and
Greek (n = 4; 6%). Students from other
primary language backgrounds (e.g.,
Assyrian, Bulgarian, Filipino, Hindi,
Hmong, Nepali, Pakistani, or Somali)
were reported in less than 5% of the
cases.
Figure 4. Percent of
Participants Serving ELLs of Various
Language Backgrounds

Teacher Familiarity with
State Standards
The demographic survey
that teachers completed also generated
information about teacher familiarity
with grade-level content standards in
their home state. While most teachers
(79%) indicated at least some degree of
familiarity with grade-level content
standards for their state, a sizeable
group (n = 13; 19%) were not at all
familiar with the standards. One
educator (2%) indicated that state
standards were in the process of
changing at the time of the research
study.
Instruments and
Procedures
The Multi-Attribute
Consensus Building (MACB) methodology (Vanderwood
& Erickson, 1994a, 1994b) used in our
previous one state study (Thurlow et
al., 2004) was also used in this
nationwide study. MACB is a
quantitative, objective approach for
determining a small group’s
consensus-derived opinion about the
importance of each item in a list.
At the beginning of each
session, teachers were provided an
explanation of the study and asked to
complete research consent releases as
voluntary participants. Next, they were
asked to complete a brief demographic
survey, which generated background
information for data analysis purposes.
The MACB portion of the
study contained three distinct parts.
First, to provide an overall perspective
from participants and as a way to
introduce the MACB process, the
data-gathering stage of the process
opened with a weighting of the relative
importance of three content areas in the
instruction of English language learners
with disabilities: reading, mathematics,
and science. The MACB process includes a
weighting procedure where participants
weight their preferences for the
importance of each item in a list on a
scale from 1 to 100 (see Figure 5). For
purposes of calculation within the
weighting process, participants were
instructed to weight at least one item
at 100 on a hard copy of the research
instrument (cf. Vanderwood & Erickson,
1994a; 1994b).
Figure 5. MACB Weighting
Scale

After writing their
responses on paper, participants called
out their weightings to a researcher who
entered them into a spreadsheet that was
projected onto the wall. The spreadsheet
tabulated an average weighting for each
item so participants could see the items
to which the group gave greater
importance. These weightings were used
to stimulate a facilitator-guided
discussion for participants to clarify
their decision making on the strategies.
After this discussion, each participant
had an opportunity to change weightings
based on reflection in listening to each
other.
As a second step,
educators were invited to weight a small
number of previously generated
instructional strategies drawn from the
Thurlow et al. (2004) study in order to
get them thinking about specific
instructional practices in the content
classroom. We called these strategies
"core strategies." The core strategies
primarily consisted of the highest
weighted strategies in reading,
mathematics, and science instruction
from the Thurlow et al. (2004) study.
One exception was the inclusion of
"curriculum-based probes" otherwise
known as curriculum-based assessment or
curriculum-based measurement. This
strategy is highly recognized in the
field of special education (Kavale &
Forness, 1999; Reschley, 2006) and
identified within the relatively sparse
literature on instructional strategies
supporting ELLs with disabilities (Gersten
et al., 1999). Thus, it was a peculiarly
anomalous finding in the Thurlow et al.
(2004) study that this strategy received
only moderate support from practitioners
in that study. Given that the present
study involved educators who had clearly
demonstrated instructional success with
a population that included ELLs with
disabilities, we thought it important to
include curriculum-based measurements
and obtain a "second reading" of this
strategy as we sought to confirm the
viability of the other core strategies.
We note here that we used the term
"probe" for both operational clarity
among the range of practitioners
involved in the study and to avoid the
need for over-lengthy explanations
regarding the differences between
curriculum-based measurement and
curriculum-based assessment.
Alongside the lists of
core strategies was a glossary of core
strategy definitions that were written
to show how a strategy should be
described based on the broad strategy
definition employed for this study.
Participants were asked to refer to this
glossary as often as necessary in
discussing and weighting strategies. To
help teachers think about strategies
that they would use in a grade-level
standards-based content classroom, each
participant was supplied with a full set
of reading, mathematics, and science
standards from their home state, to
which they could refer as needed.
Additionally, sample state standards
were provided on content area pages of
the study instrument.
Third, participants were
then asked to generate additional
strategies of their own for each content
area and provide definitions for them.
The participant-generated definitions
were transcribed on chart paper so that
they could easily be seen during the
weighting process. Participants then
weighted each of the additional
strategies and an overall average
weighting was calculated for each
strategy to determine which ones
educators thought were of greatest
importance in standards-based
instruction for ELLs with disabilities.
The sessions were
designed to last no more than two hours
from introductions to completion of
strategy discussion and weighting. All
sessions were digitally recorded and
later analyzed for maintaining fidelity
to the descriptions of strategies made
by participants.
Table of Contents
Results
Data are reported here
in the order in which research
participants encountered the study
questions. Analysis of results is
reported by demographic categories.
Content
Area Importance
Consistent with the
required MACB weighting procedure to
assign at least one factor a weighting
of 100, all research participants
unanimously weighted reading as the
highest priority. Mathematics was also
weighted as very important but it
received a lower average score of 91.9
with a standard deviation of 8.1. The
science weightings averaged slightly
lower than mathematics but still fell
within the "very important" continuum at
80.9 with a standard deviation of 11.4.
Figure 6 summarizes the content area
importance results as weighted by all
educators.
Figure 6. Importance of
Content Areas

Teacher
Weightings of Core Strategies
The core strategies from
our previous study (Thurlow et al.,
2004) and those generated in the present
study are fully described in Appendices
A–C. At the beginning of the content
portion of the focus groups, we provided
three core strategies for each content
area chosen for their high weightings
or, in the case of curriculum-based
probes, for their relative importance in
special education from the Thurlow et
al. (2004) study. The initial three core
strategies per content area served as a
starting list to facilitate the strategy
generation process and thereby
supplement our previous analysis with
the responses of these participants. In
each of the following sections, only the
titles of the named strategies are
presented in the tables and narrative
descriptions. Many, but not all, of the
named strategies differed when
participants were asked to describe the
steps and procedures they used in
implementing them.
Reading
Table 2 shows weightings
for the core reading strategies. These
and other reading strategies are defined
in Appendix A. Most educators agreed on
the importance of the "chunking and
questioning aloud" and "relating reading
to student experiences" strategies. In
contrast, the "curriculum-based probe"
strategy was weighted lower in its
importance, within the "important" area
of the scale (60–80) continuum.
"Curriculum-based probe" ranged in its
weightings from 5 to 100 and produced a
relatively high standard deviation of
21.4.
Table 2. Core Reading
Strategies
|
Instructional
Strategy
|
Number of
Weightings
|
Lowest
| NTER">
Highest
| NTER">
Standard
Deviation
|
Mean
|
|
Chunking and
questioning aloud
|
67
|
70.00
|
100.00
|
7.94
|
94.27
|
|
Relating reading
to student experiences
|
67
|
70.00
|
100.00
|
6.99
|
95.70
|
|
Curriculum-based
probe
|
67
|
5.00
|
100.00
|
21.37
|
75.84
|
Mathematics
Table 3 describes the
weighting provided by session
participants (n = 66; one teacher missed
this part of the focus group session due
to a pre-scheduled appointment). These
strategies and others proposed for
mathematics are defined in Appendix B.
As noted, the "student-developed
glossary" strategy was weighted as
important while "daily re-looping of
previously learned material" and
"teacher think-alouds" strategies were
weighted as very important.
Table 3. Core
Mathematics Strategies
|
Instructional
Strategy
|
Number of
Weightings
|
Lowest
| NTER">
Highest
| NTER">
Standard
Deviation
|
Mean
|
|
A
student-developed glossary
|
66
|
65.00
|
100.00
|
9.15
|
89.71
|
|
Daily re-looping
of previously learned material
|
66
|
80.00
|
100.00
|
5.27
|
96.33
|
|
Teacher
think-alouds
|
66
|
50.00
|
100.00
|
8.94
|
93.48
|
Science
The core science
strategies from our previous study
included "using pictures to demonstrate
steps," "pre-reading strategies," and
"teacher modeling." Table 4 shows
results of participant weightings. These
science strategies are defined in
Appendix C. All three strategies in
Table 4 were weighted as very important
by session participants (n = 66).
Table 4. Core Science
Strategies
|
Instructional
Strategy
|
Number of
Weightings
|
Lowest
| NTER">
Highest
| NTER">
Standard
Deviation
|
Mean
|
|
Using pictures
to demonstrate steps
|
66
|
80.00
|
100.00
|
5.08
|
96.62
|
|
Using
pre-reading strategies in
science
|
66
|
80.00
|
100.00
|
4.79
|
95.33
|
|
Modeling/teacher
demonstration
|
66
|
70.00
|
100.00
|
6.07
|
96.03
|
Additional Generated
Strategies
The data tables for
the newly generated strategies are
further organized to show both frequency
of choice by total number and percent of
participants and by the number and
percent of groups in small and large ELL
population states. Only the most
frequent newly generated strategies (5
for reading and science, 4 for math) are
described here with the full list found
in the Appendix. Determination of
hierarchy for reporting was based on the
total number of participants who
weighted the strategies the highest
among the total strategies named.
Reading
Table 5 summarizes
the top five additional reading
strategies generated by participants
beyond the three core strategies
provided at the outset of the sessions.
These consisted of "using visuals"
(generated in three large and two small
population states reflecting 48% percent
of the total group participants);
"teacher pre-reading of text" (generated
three times in one large and two small
states reflecting 30% of the
participants); "repeated student reading
of text" (generated in one large state
and one small state reflecting 27% of
participants); "literature circles"
(generated in two large ELL population
states reflecting 24% of participants);
and "checking background knowledge of
students" (generated in one large state
and one small state reflecting 19% of
participants).
Table 5. Top Reading
Strategies
|
Instructional
Strategy
|
Large States*
|
Small States*
|
Participants
|
Percent of
States
|
|
N
|
Percent
|
|
Using visuals
|
2
|
3
|
32
|
48%
|
50%
|
|
Teacher
pre-reading of text
|
1
|
2
|
20
|
30%
|
30%
|
|
Repeated student
reading of text
|
1
|
1
|
18
|
27%
|
20%
|
|
Literature
circles
|
2
|
0
|
16
|
24%
|
20%
|
|
Checking
background knowledge
|
1
|
1
|
13
|
19%
|
20%
|
*Large = states with
large ELL populations; Small = states
with small ELL populations.
Mathematics
The top four
mathematics strategies newly generated
by participants are summarized in Table
6. "Using manipulatives" was generated
from eight groups across states with
large and small ELL populations.
"Relating mathematics to real life" was
generated from seven groups representing
states with large and small ELL
populations. "Using visuals" was
generated from four groups across states
with large and small ELL populations.
"Simplifying problems" was named by two
groups representing states with small
ELL populations only.
Table 6. Top Mathematics
Strategies
|
Instructional
Strategy
|
Large States*
|
Small States*
|
Participants
|
Percent of
States
|
|
N
|
Percent
|
|
Using
manipulatives
|
3
|
5
|
51
|
77%
|
80%
|
|
Relating
mathematics to real life
|
4
|
3
|
45
|
68%
|
70%
|
|
Using visuals
|
2
|
2
|
20
|
30%
|
40%
|
|
Simplifying
problems
|
0
|
2
|
12
|
18%
|
20%
|
*Large = states with
large ELL populations; Small = states
with small ELL populations.
Science
Table 7 shows the
science strategies generated by the
session participants. The top five
strategies included "hands-on
participation" from six groups
representing three large and three small
ELL population states and 50% of all
participants; "graphic organizers" from
four groups representing three large ELL
population states and one small ELL
population state reflecting 39% of
participants; "student-made models" from
four groups representing three large ELL
population states and one small ELL
population state reflecting 32% of
participants; "vocabulary development"
from three groups representing one large
ELL population state and three small ELL
population states reflecting 26% of
participants; and "personal interest
research" from one large and one small
ELL population state reflecting 21% of
participants. The remaining top weighted
science strategies were added to the
list one time in states with either
larger or smaller ELL populations.
Table 7. Top Science
Strategies
|
Instructional
Strategy
|
Large States*
|
Small States*
|
Participants
|
Percent of
States
|
|
N
|
Percent
|
|
Hands-on
participation
|
3
|
3
|
33
|
50%
|
60%
|
|
Graphic
organizers
|
3
|
1
|
26
|
39%
|
40%
|
|
Student-made
models
|
3
|
1
|
21
|
32%
|
40%
|
|
Vocabulary
development
|
1
|
2
|
17
|
26%
|
30%
|
|
Personal
interest research
|
1
|
1
|
14
|
21%
|
20%
|
*Large = states with
large ELL populations; Small = states
with small ELL populations.
Results by Teacher
Demographic Variables
Additional analyses
were conducted on teacher preferences
for core strategies and subject areas.
These results showed patterns similar to
those already reported. A notable detail
is the perception about the use of
curriculum-based probes. More
experienced teachers tended to weight
curriculum-based assessments much higher
(average of 83—very important) than
beginning teachers (average of
58—neither important nor unimportant).
Special educators and other specialists
or program coordinators tended to
consider curriculum-based probes as
highly important (average of 83—very
important) whereas bilingual/ESL
specialists tended to rate them much
more moderately (average of 66—low range
of important). General education content
area teachers tended to weight
curriculum-based probes closer to
special educators, but demonstrably less
so (average of 78—high range of
important).
Table of Contents
Discussion
This study was conducted
to examine the instructional strategies
that practitioners have found successful
in promoting grade-level standards-based
academic achievement among ELLs with
disabilities. Findings in this study
confirmed results from our previous
work, provided additional breadth and
depth in understanding the instructional
practices of teachers having some
measure of success with ELLs with
disabilities, and raised more questions
needing further research.
Teacher
Perspectives on the Importance of
Reading, Mathematics, and Science
It is important to note
that the support for instructional
strategies in service to ELLs with
disabilities identified through this
study occurred in the context of
generally high teacher ratings for the
content examined. Educators in this
study tended to weight all three content
areas of reading, mathematics, and
science as "very important."
Nevertheless, the weighting of science
education seemed more variable in states
with small ELL populations and among
educators with over 10 years of
experience. It may be that the
importance of science is more distant
for educators who were trained in an era
when students with special needs did not
typically receive science instruction.
In addition, some states may still
prioritize the teaching of reading and
math. The importance of science
education is expected to increase in
coming years as a result of the proposal
to include science achievement in
accountability alongside reading and
mathematics when NCLB is reauthorized
(cf. Commission on No Child Left Behind,
2007). Future work in this area may
reveal more consistent perceptions of
science education among educators.
Review of Teacher
Strategies
In examining the
instructional strategies of teachers in
the areas of reading, mathematics, and
science education, we conducted two
types of analysis: first, we sought to
confirm the support for and feasibility
of strategies previously identified in
earlier research (Thurlow et al., 2004)
and from research literature on
expert-perceived effective instructional
practice (Gersten, Baker, & Marks,
1998)—what we called "core strategies"
in this study. Second, we identified
locally-determined strategies from the
MACB participants. These strategies
helped us to determine how specifically
these practitioners implemented
instruction.
Teacher Ratings of
Strategies
In general, our data
showed that educators tended to be
neutral or positive about every
instructional strategy they weighted.
Negative points were expressed only in a
few instances and positive support was
particularly prominent when educators
discussed strategies that they
frequently used or that were widely
described in research literature, with
some notable exceptions. In the cases of
overly variable support or obvious
disagreement, the discussion that was
generated proved insightful. Thus, in
addition to numerical weightings, we
also collected transcripts of
participant discussions to gain better
understanding of teachers’ views. We
report here some of this illustrative
commentary.
Commentary on Subject
Areas and Related Strategies
One reading strategy,
"relating reading to student
experiences," received significant
support from educators across states and
also generated commentary within the
discussions about mathematics and
science. By example, one teacher noted:
We try to generate
connections to their [students’] own
lives. That’s their favorite one,
"Oh, I remember when, you know, this
happened to me or my mom, or my
friend." Also connecting to another
book that we read or story in
class….And then that should bring
the text more to life for them. They
see that there’s a connection. They
could understand it better; they’re
more connected to it.
In discussions about
mathematics and science strategies,
repetition and re-teaching ("daily
re-looping of previously learned
material," "drill and practice,"
"multiple and varied exposure to the
same concept," "multiple ways of
teaching," etc.) emerged as a theme in
our study. During one group discussion,
a math teacher shared the following: "I
am available a lot for extra time to
re-teach something in a different way
that I might not use with all my kids
but I would use it for someone who is
struggling. But I have to have the time
element to do that. But that is one of
the strategies that I use is being
available for extra time to re-teach…the
key here is re-teaching to a smaller
group or to an individual." In another
session, a science teacher emphasized
the importance of consistent teaching so
that students are "as close as possible
to the same picture in their head no
matter what. No matter what their
background knowledge is and you just
keep going through that according to
details…"
Another core mathematics
strategy, "student-created glossary,"
received slightly lower weightings from
educators representing states with
smaller ELL populations. On the other
hand, one educator from a larger ELL
population state stressed the importance
of the appropriate use of this strategy.
She explained, "I think a lot of times
we say, ‘All right, have your notebook
and have your stuff,’ [but] as far as do
they refer to it and do they really
understand it? Sometimes I don’t think
like necessarily student-developed
glossary is going to work. It’s
important if they actually are using it
and keeping track of it
and…understanding it and putting things
in their own words, but a lot of times
it just becomes a place to copy and the
teacher checks and says, ‘Ok, you have
your glossary.’"
Commentary on
Curriculum-based Assessment
Some instructional
strategies received weightings with
significant levels of variability. In
particular, weighting for
"curriculum-based probe" (reading
strategy), ranged from 5 to 100. It was
weighted as "very important" by special
education teachers and "other" educators
(administrators and specialists) and by
educators with over 10 years of
experience, but weighted much lower by
ESL and classroom teachers. The
following interaction between educators
in one of the groups illustrates
differing attitudes and opinions about
the strategy.
One proponent of
curriculum-based probes stated, "I think
it’s very important that you need to
know where the child is at in order to
keep going. You cannot keep going unless
you know where the child is. So you have
to constantly assess, even if it’s
informal, it works."
Another educator argued:
I remember doing
these as a child, kind of being
tested like this in such a quick
time frame. And then you know, it
even says "reach frustration level."
And I, I just….It frustrates me and
it hurts me, and it makes me sad to
just think that you have to test
them to the point of frustration
that such a time limit. Imagine
being ELL and Special Ed at the same
time trying to do this.
Finally, a third
educator seemed to find consensus on the
strategy:
I’ve tested students
like this and you know what? It’s a
different thing. It depends, I
think, on the teachers, how they’re
presenting it and administering it
because if you go and you reinforce
to them "You did a great job this
time. You read further than last
time." Or "You did a great job
reading." Ok. You know I’m testing
all different grade levels so this
keeps getting harder and harder and
harder. Then they’re not as
frustrated as like "Come on, this is
a stop watch. Like, go, go!" That’s
a different level of frustration.
Locally Identified
Instructional Strategies
In addition to analysis
of the core strategies, we asked MACB
participants to name and describe
instructional strategies that they
typically have found successful with
ELLs with disabilities. As previously
described, these results illustrate the
wide variation in the way commonly
understood strategies are used within
the field.
As in our previous study
(Thurlow et al., 2004) and despite our
efforts to engage study participants in
operationalizing the strategies they
named, we found that teachers in this
study tended to include in their
nominations practices that could be more
broadly defined as either general
principles of good teaching or
instructional approaches. When pressed,
these practitioners tended to vary in
the specific ways they implemented the
practices they named.
It is, perhaps, more
helpful to consider the strategies named
in this study as strategy clusters that
any particular teacher or group of
teachers may employ differentially. In
one example, the highest rated science
strategy was named "hands-on
participation." Although many
participants used this term uniformly,
their descriptions of what they believed
constituted such student participation
ranged from designing science
experiments, use of science laboratory
activities, to demonstrating science
knowledge "in practice." From this
experience, it seems important to look
beyond the "titles" that teachers use in
describing their practices and examine
the multiple ways teachers have
implemented a particular strategy. Thus,
we believe our findings have
implications for research to practice.
Implications for Research to Practice
Findings in this study
reinforced and in some ways provided
needed elaboration into understanding
the difficulties of bridging research
with practice. How teachers tended to
describe their practices did not
coincide well with what research
professionals consider appropriate
research-based practices. In this sense,
our findings appear to confirm previous
research-to-practice studies (e.g.,
Boardman et al., 2005; Landrum et al.,
2007). For example, both Boardman and
colleagues (2005) and Landrum and
colleagues (2007) found that teachers
tend to prefer practices supported by
their peers more than strategies
presented in "research" formats. Our
findings show that teachers tend to
describe their practices more specific
to their individual situations using a
diverse array of definitions. At the
same time, many of the practices
described here resonate with some
validated research and contradict
others. In one example, the use of
physical objects, "manipulatives," in
mathematics is a well-established
practice (cf. Chomsky, 2003; Marzano,
1998). Much as is reported in research,
teachers in our study described a wide
array of specific methods in which they
used manipulatives in their classrooms.
However, none described the sequence of
instruction moving from directly
physical to more abstract
representations often ascribed as most
effective for the use of manipulatives (Blynt,
2006; Maccini & Gagnon, 2000). This
pattern was a common one among teachers’
descriptions of the strategies they
used. Given the observed success of the
teachers who participated in this study,
our findings seem at least to give pause
for reflection about the connection
between practices identified by teachers
with responsibility for teaching ELLs
with disabilities and current practices
in reporting empirically-supported
educational practice.
Limitations of the Study
The limitations of this
study include the potentially limited
generalizability of locally identified
strategies across states and individual
focus groups, a rather small sample.
Additionally, the incongruity between
what participants reported as
appropriate strategies and the way
similar practices are described by
researchers in the field may have
reflected a lack of participants’
familiarity with current research. This
lack of familiarity may also be
explained by the limited degree to which
research described as
empirically-supported is not often
associated with the student population
of interest in this study: ELLs with
disabilities. Several observers have
pointed to the faulty assumption that
evidence-based practices are directly
supportive to one population if they
have been found useful in other
populations (Kovaleski, 2007; Vanderwood
& Nam, 2007). This particular problem
has received some attention with regard
to the utility of interventions for ELLs
with disabilities even if interventions
have been found validated for related
populations such as individuals with
disabilities (not ELLs) or ELLs (without
disabilities) (Barrera, 2006; Klingner,
2007; Klingner, McRay-Sorrells, &
Barrera, 2007). Results from this study,
through the evidence showing
implementation of a variety of
strategies validated within broader
populations of students but in different
forms indicate the need for more
in-depth and direct validation research
for the instruction of ELLs with
disabilities.
Finally, some educators
were asked to weight instructional
strategies outside of the content areas
they were assigned to teach. Despite the
possibility that many instructional
strategies generated in the study may
serve multiple content areas, the
weightings may have been influenced by
lack of familiarity with some of the
strategies originally and subsequently
named. Future studies should include an
assessment of participant perceptions of
their familiarity with the strategies
discussed.
Future
Directions
This nationwide study
highlighted what educators with a record
of success, defined as meeting Adequate
Yearly Progress, consider useful
instructional strategies for ELLs with
disabilities. The variability and
difficulty with which participants
described specifically what they did
when teaching these students coupled
with the seeming variance between what
is described as successful in published
research and how teachers may implement
their instruction indicates a need for
further research to examine the use of
strategies as teachers appear to
implement them. Such research would
require the following elements inferred
by our findings. First, the focus of
instruction should be directed toward
improving grade-level standards-based
academic achievement. These strategies
should be identified in specific subject
areas such as reading/language arts,
mathematics, and integrated or
subject-specific science curriculum.
Second, there is a continuing need to
operationalize instructional strategies
identified for research in specific
well-described terms for appropriate
comparison and evaluation. Finally,
because of the observed variability in
perspectives regarding the use of
progress monitoring such as
curriculum-based measurement, attention
should be paid to the manner in which
effectiveness of strategy implementation
is verified through appropriate and
validated assessments.
This latter point is
particularly important in the case of
work conducted with ELLs with
disabilities given the variability in
the available expertise among educators
historically involved in their education
(Gersten & Wanderwood, 1994; McArdle,
Mele-McCarthy, & Leos, 2005).
Specifically, ELLs with disabilities
require both language learning-based
approaches and individualized
instructional support. Hence, it seems
particularly important to verify how and
how well specific strategies for these
students are implemented and how well
they work to provide viable
standards-based outcomes. One important
approach is to conduct single-subject
research studies that examine both
accurately identified and implemented
strategies that are coupled with
verifiable individual measures of
academic progress. The National Center
on Educational Outcomes has conducted an
initial set of such studies (Barrera,
Liu, Thurlow, & Chamberlain, 2006;
Barrera, Liu, Thurlow, Shyyan, Yan, &
Chamberlain, 2006) stemming from our
previous MACB research (Thurlow et al.,
2004). These studies and our findings
here suggest that future research in
this area should include multistate or
national single case design studies that
would test the effectiveness of the
strategies specifically described by
teachers in the field.
Table of Contents
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Table of Contents
Appendix
A
Glossary
of All Reading Strategies
|
Instructional
strategy
|
Definition
|
|
Acting out a
story
|
Having the
students act out part of a
story. Using physical movement
(no reading or writing) to
demonstrate and improve
comprehension of the story. The
strategy is useful for shier
students who do not have to
speak in front of a large class,
only act.
|
|
Affective filter
|
Making the
classroom setting more
conducive, non-threatening, so
that students feel more
comfortable, less anxious, by
building rapport, simplifying
language, etc.
|
|
Back-to-back
directions
|
Students stand
back-to-back. One student gives
directions to draw something and
the other one draws it.
|
|
Back-to-back
retelling/paraphrasing
|
Students stand
back-to-back. One student reads
a paragraph and the other one
writes what they hear.
|
|
Bilingual
conversations
|
The teacher uses
Language 1 and students answer
in Language 2.
|
|
Bilingual
vocabulary sheet
|
A sheet with
three columns: a word in
English, a picture of the word
or the word used in a sentence,
and the word in students’ own
language.
|
|
BME
|
Writing the
beginning, middle, end of a
story on a sheet of paper folded
into three sections. Drawing
pictures of the beginning
(middle, and end) and
summarizing.
|
|
Book box
|
Group
presentation of a story in
order. Each group takes a
chapter of a book. They put
three items related to the story
in a box and explain how the
items relate to the story.
|
|
Book in a box
|
Students cut out
images or bring realia related
to a book and put them in a box
(e.g., illustrating five main
points per chapter). Students
work through each chapter to
process the book.
|
|
Brainstorming
|
Building up
consensus on reflections from a
previous lesson.
|
|
Chart
|
Charts of cause
and effect showing how two
stories or parts of one story
relate.
|
|
Checking
background knowledge
|
Assessing
students’ background knowledge
on the topic under study.
|
|
Choral reading
|
Reading together
rhythmically to build fluency.
|
|
Chunking and
questioning aloud
|
The process of
reading a story aloud to a group
of students and stopping after
certain blocks of text to ask
the students specific questions
about their comprehension of the
story and some key features of
the text.
|
|
Clicks-clunks
(words students are not sure
about)
|
While reading
with partners, students identify
"clicks" (words that are already
meaningful) and "clunks" (words
students are not sure about).
|
|
Cloze sentences
|
The teacher
takes a sentence from the text
and leaves out key words for
students to supply them. The
strategy is recommended for
early readers.
|
|
Combining
reading and writing
|
Combining
reading and writing with
speaking and listening as a
basis of the literacy approach.
|
|
CROPQV
|
Connections,
relations/reactions, opinions,
predictions, questions, visuals.
Students divide a sheet in six
parts and write down these
components as they read. The
materials are useful for
discussion or review.
|
|
Curriculum-based
probe
|
Having students
read aloud three basal reader
passages for 1 minute; teacher
marks the place where the
student stops and then asks
comprehension questions and
continues to give probes until
students reach frustration level
as defined by reading rate and
median score.
|
|
Drawing out
|
Students drew
their responses, thoughts, etc.
|
|
Fluency builders
|
Pronouncing
vocabulary units faster and
faster.
|
|
Frayer model – 4
sections
|
The core word is
in the center of a box; around
it: a synonym, an antonym, a
picture, and the word used in a
sentence (also known as webbing
or branching out).
|
|
Graphic display
of a story
|
Filling in cells
in a box with drawings of main
events.
|
|
Group jigsaw
|
Splitting up a
text by paragraphs. Each group
reads and presents a paragraph
in order.
|
|
Guided reading
|
Checking
students’ background knowledge,
selecting texts for individual
and group reading aloud or
silently, building vocabulary,
checking for understanding
constantly.
|
|
Hands-on
participation
|
Designing math
activities so that students are
actively involved. Avoiding
exclusive teacher demonstration.
Hands-on participation is as
important as verbal
participation in the activity.
|
|
Journal
|
Students record
quick writes, prompts, etc.
|
|
KWL
|
The "know, want
to know, learned" routine; a
form of self-monitoring where
students are taught to list what
they know already about a
subject (at the beginning of
class), what they want to know,
and later what they learned (at
the end of class). The strategy
can be used individually and in
groups.
|
|
L1-L2
back-to-back
|
Providing
auditory or written content
input to students in their
native language alongside with
English.
|
|
LINKS
|
Students use
three-section note cards for
self-study with the following
three components: a picture,
definition, and example or
connection to real life.
|
|
Literature
circle
|
Students discuss
portions of books in a small
group; sometimes roles are
assigned for group interaction;
the teacher breaks down reading
tasks, after working
individually on particular
tasks, students come back
together as a group.
|
|
Looping
|
Using the same
vocabulary across different
content areas to increase
students’ exposure to the
material.
|
|
Miming
|
Demonstrating
without talking and having
students guess it; referring to
students’ prior knowledge and
building on it.
|
|
Modeling
questions
|
The teacher
demonstrates how to ask
questions based on the text and
students follow the pattern. The
strategy can be used before,
during, and after reading.
|
|
Multiple
approaches
|
Students find
multiple ways to get to the
answer.
|
|
Multiple reading
|
Reading the same
text multiple times.
|
|
One-to-one
|
Individual
conferencing between the teacher
and student.
|
|
Partner
rephrasing
|
Answering
questions in pairs: one student
answers, the other paraphrases,
and then they write the answer
down.
|
|
Peer modeling
|
Students
demonstrate how to read the
text, talk through strategies,
and their peers use the method.
|
|
Phonemic
awareness
|
Practicing
sounds and letters in order to
build phonemic awareness and
remembering of sounds by the
students.
|
|
Picture
summaries/chunking text
|
The teacher
chunks a text into manageable
units (e.g., the chunk has a
whole idea, the chunk has 10 or
fewer vocabulary words) and then
students draw pictures to
summarize the chunks and make
poster presentations.
|
|
Picture walk
|
Starting with
covers, looking at
illustrations, T.O.C. to predict
content.
|
|
Pictures to
demonstrate steps
|
Using a series
of pictures to demonstrate the
steps in a project or experiment
so that students get a visual
image of what they need to do.
|
|
Practicing
reading skills
|
Repeated
practice of the same reading
skill across different texts –
fiction, non-fiction.
|
|
Predictions
|
Students predict
what will happen next based on a
story. Exploring what-ifs,
additional probing.
|
|
Pre-reading
|
Giving students
pre-reading tasks.
|
|
Pre-reading
survey of text
|
Looking at
graphics, key words, titles,
timelines and predicting what
the text will be about.
|
|
Probable passage
|
The teacher then
constructs a "probable passage"
that uses 10-15 key words, makes
fill-in-the-blanks passages and
students fill in the blanks and
compare the probable passage to
the actual one.
|
|
Progress
monitoring
|
Performing
assessments (state, formative,
quarterly writing records) and
sharing results with students.
|
|
Pronunciation
|
Having students
stop or slow down and
concentrate on enunciating the
word.
|
|
Providing
wait-time
|
Allowing
students additional time to
complete their tasks.
|
|
Questioning the
author
|
Asking the
author questions about opinions,
biases, etc.
|
|
RAFTS
|
Each student
reads the same text from
assigned or chosen perspectives.
Groups with the same
perspectives write a piece
reflecting the reading.
|
|
Read/Slap/Remember
|
Reading a
paragraph, slapping hands when
done reading and asking for the
main idea (What do you
remember?).
|
|
Reading in pairs
|
Reading in
scaffolded pairs, in which a
better reader reads on the first
day and a less achieving reader
reads on the second day. The
readers ask each other
questions.
|
|
Relating reading
to student experiences
|
Having students
talk about connections in the
reading to their own
experiences; sharing in a large
group or small group setting;
using group experiences to
better understand reading.
|
|
Re-looping
|
A process of
always bringing in previously
learned material to build on
each day so that students have a
base knowledge to start with and
so that learned structures are
constantly reinforced.
|
|
Repetition
|
Repeated use of
instructional content materials
utilizing various technological
means.
|
|
Retelling
|
Detailed
reciting of what was read in
students’ own words or repeating
instructions back to the
teacher.
|
|
Retelling with
groups
|
Students retell
reading materials in groups.
|
|
Second shot
reading
|
In groups,
students read with the teacher a
challenging text, set goals
(fluency), practice in groups
and with the teacher, and reread
the text individually with the
teacher.
|
|
Skimming for
main ideas/key words
|
Students skim
for key words and main ideas in
the text.
|
|
Small group work
|
Reading in small
groups to improve comprehension
and fluency.
|
|
Student-created
dictionary
|
Students keep
track of key content and concept
words and define them in a log
or series of worksheets that
they keep with their text to
refer to.
|
|
Study notes
|
Teacher-prepared
study notes with pre-highlighted
key words.
|
|
Summarizing
|
Students give a
summary of the text they read.
|
|
Teacher modeling
|
The teacher
models the process of reading by
reading the text, describing
reading strategies (correcting
own mistakes, looking up
unfamiliar words, etc.).
Students follow the example and
are less self-conscious about
correcting their own mistakes.
|
|
Teaching text
backwards
|
Reading a
question first and then reading
the text to answer the question.
|
|
Tell-backs
|
Students retell
and summarize what they have
read.
|
|
Think, pair,
share
|
Having students
think about the reading content,
pairing them up for reading
(preferably, a higher- and a
lower-achieving student), and
calling randomly on a few
students to summarize what they
have read.
|
|
Think-alouds
|
Using explicit
explanations of the steps of
problem solving through the
teacher modeling thought; for
example, reading a story aloud
and stopping at points to think
aloud about reading
strategies/processes.
|
|
TPR
|
Total physical
response – coordination of
speech and action.
|
|
Using picture
books
|
Using picture
books to learn about text
features (e.g., captions,
headings, table of contents,
maps, illustrations, etc.).
|
|
Using visuals
|
The teacher
provides thematic two- or
three-dimensional visuals to
highlight meanings of new
vocabulary items or give context
to key ideas. Resources: other
books, picture dictionary,
newspapers, film clips,
internet, realia, etc. Students
can be involved in creating
visuals and the
visualizing-verbalizing process.
|
|
Vocabulary
application
|
Learning words
in the context and using them in
a sentence.
|
|
Vocabulary
building
|
Breaking words
into parts (prefixes, suffixes).
Guessing meaning of a word based
on common roots and associating
it with other words.
|
|
Vocabulary
review
|
Reviewing the
vocabulary beforehand and
pointing out the reviewed units
during reading.
|
|
Webbing
|
Finding many
ways to get to the answer (word
meaning), not just one way.
(e.g., Thanksgiving: thankful,
giving, sharing, holiday, before
Christmas, etc.)
|
|
Who wants to be
a millionaire
|
The teacher
provides support to students by
giving them strips of paper with
three lifelines: "Ask a friend,"
"Ask the teacher," "Ask the
class."
|
|
Word bank
|
Student-created
records of clusters of words
with related meanings. Used for
future writing tasks.
|
|
Word dissection
|
The teacher
prepares cards with prefixes,
roots, and suffixes and goes
over their meaning first. Then
students make different
combinations of cards and talk
about whether they make sense.
|
|
Word of the day
|
Practicing
idioms, daily language, etc.
|
|
Word quilt
|
Students use a
piece of paper with four
sections: a word, its
definition, the word used in a
sentence, and a drawing that
describes the word. Each student
has a patch with their own word
and they put their patches all
together into a quilt.
|
|
Word scavenger
hunt
|
The teacher
prepares a list of daily
vocabulary words based on book
themes. Students look for words
in all readings, mark them with
post-its and share what they
found in a large group.
|
Table of Contents
Appendix B
Glossary of All
Mathematics Strategies
|
Instructional
strategy
|
Definition
|
|
Acting out a
problem
|
Having the
students act out a problem.
Using physical movement (no
reading or writing) to
illustrate math, e.g., moving to
the side of the classroom that
is marked "positive" or
"negative."
|
|
Applying to
money
|
Using monetary
concepts to introduce math
problems.
|
|
Ask three before
me
|
Students ask
questions of three other people
before they ask the teacher. The
strategy is used at the end of
class (sometimes with the use of
chips).
|
|
Breaking down
the problem
|
Breaking down
the problem solution process
into specific steps.
|
|
Chunking and
checking
|
Breaking down
tasks into small sections,
checking progress frequently,
and building knowledge.
|
|
Conversion
|
Practicing
conversion from metric to
non-metric units and vice versa.
|
|
Daily re-looping
of previously learned material
|
A process of
always bringing in previously
learned material to build on
each day so that students have a
base knowledge to start with and
so that learned structures are
constantly reinforced.
|
|
Designing
projects
|
Getting students
involved in designing math
projects.
|
|
Domino deal 555
|
Students work on
problems 5 minutes alone, 5
minutes with a partner, and 5
minutes with a teacher.
|
|
Drill and
practice
|
Repeated
practicing of simpler math
problems before moving to more
complex word ones.
|
|
Frayer Model
|
Using note cards
with words, their definitions,
pictures, and association.
Students work at note cards on
their own time.
|
|
Hands-on
participation
|
Designing math
activities so that students are
actively involved. Avoiding
exclusive teacher demonstration.
Hands-on participation is as
important as verbal
participation in the activity.
|
|
Hands-on
visualization
|
Use of
manipulatives to create visuals
for steps of math processes and
concepts.
|
|
Integrate and
apply
|
Applying math
problems to other content.
|
|
Investigation
|
Students
investigate the problem, come up
with the solution, and realize
that there is more than one way
to solve the problem to get the
same answer.
|
|
Journals/reflections
|
Having students
write their reflections in a
journal.
|
|
Math games
|
Playing math
games, such as Rummy, Yahtzee,
Bingo – games based on
repetition.
|
|
Multiple
comprehension checks
|
Multiple checks
for understanding by asking
questions in a one-on-one
informal format.
|
|
Multiple
mathematic responses
|
Students use
numbers, symbols, words,
pictures, graphs, and
manipulatives to demonstrate
their understanding of the
material. This allows for
response in strongest areas.
|
|
Multiple ways of
teaching
|
Teaching the
same content using different
approaches, e.g. repetition.
|
|
Picture books
|
Using picture
books to learn math concepts.
|
|
Providing
wait-time
|
Allowing
students additional time to
complete their tasks.
|
|
Reducing the
number of problems
|
Reducing the
number of word problems to
lessen the instructional load
for students.
|
|
Relating
mathematics to real life
|
Having students
talk about connections in math
to their own experiences;
sharing in a large group or
small group setting to
understand mathematics better
(e.g., real estate, tips,
stocks, charts of zoos, etc.).
|
|
Re-teaching
|
Allotting extra
time to re-teach material (in a
different way) to a smaller
group or an individual.
|
|
Share and
compare
|
Students work on
problems individually first,
then share answers with a
partner to compare and see if
they agree. If they disagree,
they decide who is right and
why.
|
|
Simplifying
language
|
Minimizing the
amount of words and making the
language in math minimal.
|
|
Simplifying
problems
|
Substituting
easier numbers when introducing
a new function.
|
|
Student
presentations
|
Having students
make presentations of
instructional materials.
|
|
Student-created
models
|
Students create
math models.
|
|
Student-developed glossary
|
Students keep
track of key content and concept
words and define them in a log
or series of worksheets that
they keep with their text to
refer to. The glossary can also
be bilingual.
|
|
Student-generated problems
|
Students
generate problems to explain to
other students.
|
|
Summarizing
|
"Take it out the
door" – students do not leave
the classroom until they answer
the essential question for the
day (done individually, in
pairs, or larger groups).
|
|
Teacher modeling
|
The teacher
describes the learning process
and models math problems and
students follow the example
themselves.
|
|
Teacher
think-alouds
|
Using explicit
explanations of the steps of
problem solving through teacher
modeling metacognitive thought
(e.g., demonstrating the thought
process used in problem
solving).
|
|
Think, pair,
share
|
Asking students
a question and giving them time
to think silently about the
answer, pairing them up to
discuss responses (preferably, a
higher- and a lower-achieving
student), and calling randomly
on a few students to summarize
their discussion or give their
answer.
|
|
Use both metric
and non-metric dimensions
|
Using both
metric and non-metric units.
|
|
Using a
real-life based math problem
|
Connecting math
problems to life-based
situations.
|
|
Using a white
board
|
Writing on an
individual white board and then
rewriting everything in the
notebooks.
|
|
Using
manipulatives
|
Students create
manipulatives by labeling
stripes of paper with math
concepts (e.g., area, perimeter,
volume, fractions, etc.) or
folding them into two, four,
etc. while incorporating visual
notes of math content (also
known as "foldables").
|
|
Using visuals
|
Bringing two or
three-dimensional visuals into
the classroom to enhance teacher
instruction.
|
|
Using visuals to
generate vocabulary
|
Using visuals in
class to generate new vocabulary
items.
|
|
Word pictures
|
Students write
words in shapes related to their
definition (e.g., horizontal
[written horizontally], vertical
[written vertically]). The
strategy is especially useful in
geometry and stats.
|
|
Word walls
|
The teacher
chooses words from a unit,
writes them on cards, puts cards
on a wall with definitions or
examples, and refers to them
often. Words can be color coded
depending on a book or unit.
|
|
Work backward
|
Working on the
problem backward, starting with
the answer.
|
|
Writing story
problems
|
Writing math
stories by starting with numbers
and building up a text around
them.
|
Table of Contents
Appendix C
Glossary of All Science
Strategies
|
Instructional
strategy
|
Definition
|
|
Alternative
responses
|
Collecting
alternative responses from
students to check their
understanding of the material.
|
|
Applications
|
Applying science
at home (e.g., "kitchen
science").
|
|
Chunking
|
The process of
reading a science text or
problem aloud to a group of
students and stopping after
certain blocks of text to ask
the students specific questions
about their comprehension of the
material.
|
|
Clarifying
problem
|
Oral
clarification of a problem using
simplified language to make sure
students understand what the
problem is asking.
|
|
Control
vocabulary
|
Giving students
a list of most important terms
to memorize.
|
|
Daily re-looping
|
A process of
always bringing in previously
learned material to build on
each day so that students have a
base knowledge to start with and
so that learned structures are
constantly reinforced.
|
|
Differentiated
labs
|
Teaching
multiple ways of solving lab
problems.
|
|
Foldables
|
Students fold
stripes of paper into two, four,
etc. while incorporating key
science concepts, terms, their
definitions, and pictures (e.g.,
the solar system).
|
|
Graphic
organizers
|
Visual displays
to organize information into
things like trees, flowcharts,
webs, etc.; they help students
to consolidate information into
a meaningful whole and they are
used to improve comprehension of
stories, organization of
writing, and understanding of
difficult concepts in problems.
|
|
Grouping on
learning styles
|
Grouping
students according to
"intelligences" or learning
styles (e.g., arts).
|
|
Guided practice
|
The teacher and
students work on a project
together.
|
|
Habits of mind
|
Teacher
demonstrates the process of
problem solution and describes
how the answer can be found.
|
|
Hands-on
participation
|
Designing
science activities so that
students are actively involved
in projects or experiments;
hands-on participation is as
important as verbal
participation in science
classes.
|
|
How to read a
text
|
Pointing out and
getting students to discover the
different parts of the text that
can be used in learning:
captions, headings, etc.
|
|
Journals
|
Students record
in a journal what they learned
or strategies they learned, or
questions they have; students
can share their ideas in class,
with partners, and with the
teacher.
|
|
Labs
|
Students
participate in science labs.
|
|
Matching cards
to review key terms
|
Students get
cards with key terms and
definitions. They match them to
review the learned material.
|
|
Mnemonic devices
|
Using
association techniques to help
students remember some aspect of
science.
|
|
Model making
|
Creating paper
models of science concepts.
|
|
Modeling/teacher
demonstration
|
The teacher
demonstrates how to do a lab or
experiment before having the
students try it on their own.
|
|
Multiple and
varied exposure to the same
concept
|
Exposing
students to the same concept
through multiple and varied
means (e.g., the water cycle can
be studied in reading, watching
a video, and displaying the
diagram).
|
|
Pairing up
|
Pairing up
students for individualized
work.
|
|
Personal
interest research
|
Students conduct
active research in science. This
can be done in a native
language.
|
|
Picture books
|
Using picture
books in teaching science.
|
|
Quick assessment
|
No name test.
|
|
Relating science
to real life
|
Relating science
materials to students’ real-life
experiences.
|
|
Retelling
(checking steps)
|
Students retell
what they understand; checking
students’ comprehension of
instructions.
|
|
Scaffolded lab
reports
|
Having students
fill in lab reports with more
and more missing
concepts/components.
|
|
Skimming text
for key concepts
|
Reading
paragraph by paragraph and
paraphrasing the main idea. The
teacher and students think aloud
about what is important.
|
|
Smart board
|
Using an
electronic device shaped as a
board that can be plugged into a
computer, written on, read aloud
test, etc.
|
|
Student glossary
|
Students develop
a glossary of science terms
using their own words for
definitions.
|
|
Student-designed
experiments
|
Engaging
students in design of science
experiments.
|
|
Student-generated rules
|
Students
generate safety rules.
|
|
Student-led
projects
|
Students create
science models (e.g., the solar
system).
|
|
Student-made
models
|
Students create
three-dimensional models of a
science concept (e.g., faults,
rock classification).
|
|
Summarizing
|
Students give a
summary of science materials.
|
|
Teacher modeling
|
Teacher
demonstrates how to do a lab or
experiment before having the
students try it on their own.
|
|
TPR
|
Total physical
response performed by students.
|
|
Tribond – three
related things
|
Creating models
of three things related with one
another (e.g., electron,
neutron, proton) and discussing
the relationship.
|
|
Using data
tables
|
Using tables and
graphs to illustrate science
content.
|
|
Using foldables
|
Students create
folded paper visual
representations of key concepts
and terms.
|
|
Using pictures
to demonstrate steps
|
Using a series
of pictures to demonstrate the
steps in a project or experiment
so that students get a visual
image of what they need to do.
|
|
Using
pre-reading strategies in
science
|
Giving overview
of unit, previewing main ideas,
connecting subject to the
background knowledge of the
students, etc.
|
|
Using visuals
|
Bringing two or
three-dimensional visuals into
the classroom to enhance teacher
instruction in reading.
|
|
Video archives
|
Showing students
videos on a topic under study by
starting with an introductory
activity and finishing with a
movie quiz.
|
|
Video follow-up
|
Introducing
video demonstrations of
experiments that cannot be
performed in class. Following up
on the videos.
|
|
Visualize and
verbalize
|
Students picture
the science content and describe
it to the teacher. The picture
can be described by the teacher
first.
|
|
Vocabulary
development
|
Identifying and
defining key vocabulary items.
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Word sort
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Matching the
scientific term with its
definition or picture (on flash
cards).
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Word walls
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The teacher
chooses words from a unit,
writes them on cards, puts cards
on a wall with definitions or
examples, and refers to them
often. Words can be color coded
depending on a book or unit.
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Working in a
group
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Working in a
group with specific roles
assigned to students.
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