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The Impact of Teacher Preparation
on Student Achievement in Algebra
in a ‘‘Hard-to-Staff’’ Urban
PreK-12-University Partnership
Belinda G. Gimbert*a, Dean Cristola, and Abdou Marty Seneb
aThe Ohio State University, Columbus, Ohio, USA, and bElizabeth City State University,
North Carolina, USA
(Received 7 March 2006; accepted 23 November 2006)
Debate about teacher supply, demand, retention, and attrition has been renewed in recent years by
an increased concern about the reduced numbers of prospective teachers entering teacher education
programs, the high attrition rate of beginning teachers, and the resulting teacher shortages. U.S.
schools are experiencing teacher shortages, especially in low-income urban areas, because of
increased school enrollment, teacher retirement, reduction in class size, teacher attrition, and
turnover related to low salaries, job dissatisfaction, and lack of administrative support and influence
over decision-making. Recently, the increased interest in teacher quality has been the topic of
debate for policy-makers, the public, and the educational community. The purpose of this study
was to determine if a nontraditional teacher preparation program, the Transition To Teaching
program, was a viable way to ease the teacher shortages in a high poverty, urban U.S. school district,
and at the same time, to evaluate the impact of teacher training on students’ academic achievement.
The results of this study afford evidence that the students taught by 1st-year, alternatively prepared
teachers achieved as well as or better than their peers taught by traditionally certified 1st-year
teachers, according to student achievement in mathematics, specifically Algebra I.
Nationally, the United States Department of Education (2002) has estimated that 2.2
million teachers would be required by 2010 to fill the vacancies created by retirement
and those exiting from the field of public education (Howard, 2003). Of these needed
teachers, approximately 15% (345,000) will be demanded in central cities, and in
*Corresponding author. School of Educational Policy and Leadership, Transition To Teaching
Program, Newport News Public Schools, The Ohio State University, 301E Ramseyer Hall, 29 West
Woodruff Avenue, Columbus, Ohio, USA 43210-1177. Email: gimbert.1@osu.edu
School Effectiveness and School ImprovementVol. 18, No. 3, September 2007, pp. 245 – 272
ISSN 0924-3453 (print)/ISSN 1744-5124 (online)/07/030245–28
� 2007 Taylor & Francis
DOI: 10.1080/09243450601147528
schools with large concentrations of low-income students (Lankford, Loeb, &
Wyckoff, 2002). Although the supply of teachers throughout the 1990s has increased
and the number entering the pool of new teachers each year has been adequate to
meet the demands of the nation’s school districts, rates of retirement and teacher
attrition seriously contribute to the frustration of maintaining a highly qualified
teaching staff for every school in the country (Walker, 2003). Within the next 10
years, nearly 700,000 teachers will retire. And, the attrition rate of new teachers has
steadily increased throughout the 1990s and into the 21st century. Based on the 2001
data from the National Center for Education Statistics (NCES), nearly one third of
all new teachers in the USA leave the teaching field within their first 3 years of
teaching and almost 50% may leave within the first 5 years of their teaching career
(Ingersoll, 2001; Walker, 2003). Resultant, the combination of retirement and
attrition has a significant impact on our schools and the students that are served
within them (Howard, 2003; Walker, 2003).
At the same time as school districts’ need for new teachers is growing in urban and
rural United States (Ingersoll, 2004), research supports the importance of providing
students with the most effective teachers in order to ensure teacher retention and
student academic success (Darling-Hammond & Youngs, 2002). With passage of the
Act of No Child Left Behind, (NCLB, 2001), U.S. schools were confronted with the
added problem of attracting and hiring teachers who met the U.S. federal definition
of ‘‘highly qualified’’ (Clotfelter, Ladd, & Vigdor, 2002; Sanders & Rivers, 1996). In
an effort to maintain a standard level of accountability, NCLB requires that a teacher
instruct students only in the particular curriculum for which the teacher is certified.
Given that this legislation’s charge has decreed a highly qualified teacher in every
classroom by the school year 2006 – 2007, school districts across the USA have been
scrambling to provide every child access to highly qualified educators.
Various global studies employing national, state, and other datasets (Angrist &
Lavy, 2001; Bressoux, 1996; Bressoux, Kramarz, & Prost, 2006; Clotfelter, Ladd,
& Vigdor, 2006; Darling-Hammond, Holtzman, Gatlin, & Heiling, 2005; Navarro &
Verdisco, 2000) have reported significant relationships between teacher quality and
student performance at the levels of the individual teacher, the school, the school
district, and the state. Specifically, the lack of qualified teachers in the fields of
mathematics and science seriously impacted the instruction that students received in
these academic areas and undermined the future earning potential of the students not
receiving their instruction from a qualified teacher (Greenberg, Rhodes, Ye, &
Stancavage, 2004). Secondary high-need schools, particularly those serving students
from low-income families, registered the most severe teacher shortages (Ingersoll,
2001). Indeed, some reasons why many teachers do not want to work in these
environments are their low level of student achievement (National Association of
Educational Progress [NAEP], 1998), high rates of teen pregnancy, high levels of
student dropout, and high incidence of violence (NCES, 1997).
District-level working conditions, such as salaries, teachers’ views of administrative
support, school climate, and other work opportunities within the district, have been
identified as important in teacher decisions to enter and remain in a district.
246 B. G. Gimbert et al.
According to Darling-Hammond and Sykes (2003), higher salaries, more opportu-
nities within the district, and higher spending on instruction increased the probability
of teachers remaining within the district. Other researchers have confirmed such
conclusions (Ballou & Podgursky, 1997; Brewer, 1996; Theobald & Gritz, 1996). In
a recent study by Ingersoll (2001), teacher turnover has been stated to be 50% higher
in high-poverty schools than in more affluent school contexts. And, both new and
experienced teachers resign from low-performing schools at much higher rates than
they leave high-performing schools (Hanushek, Kain, & Rivkin, 1999). The cost of
early departure effectively drains schools’ financial and human resources (Darling-
Hammond & Sykes, 2003). As a consequence, high-need urban and rural secondary
schools remain understaffed in terms of both quality and quantity of teachers
(Clotfelter et al., 2003; Fideler, Foster, & Schwartz, 2000; Guin, 2004). For example,
urban secondary schools which educate over 40% of students with limited English
proficiency, three quarters of minority students, and more than half of the students
from low-income families, are staffed with inexperienced and underqualified teachers
(Ingersoll, 1996, 1999, 2002).
In the USA, federal and state policy-makers, in response to calls from the public
and practitioners in hard-to-staff school districts, have attempted to relieve teacher
shortages in core academic subjects (Ingersoll, 2001) through legislative provision
and financial support for nontraditional teacher preparation programs. These
advocates have espoused that alternative certification can meet the demand for more
teachers while maintaining or improving quality (U.S. Department of Education,
2002). The expansion of alternative (or nontraditional) teacher preparation that
began in the late 1980s has continued into the 21st century. However, accompanying
the proliferation of nontraditional teacher preparation programs is a growing
controversy that surrounds the manner in which teachers are trained to attain the
teacher quality required by state mandates for teacher licensure and NCLB
guidelines.
Currently, 48 U.S. states and the District of Columbia have legislated non-
traditional teacher preparation programs (Feistritzer & Chester, 2006). School
districts, educational service agencies, universities, 4-year colleges, 2-year community
colleges, for profit and non-profit organizations, or partnerships of these entities
deliver these programs. Also included are national programs like Troops to Teachers,
which focuses on military personnel moving into teaching positions, and Teach for
America (TFA), which focuses on new college graduates who did not major in
education. As is the case with most educational concepts that become popular over a
rather short period of time, programs of alternate pathways to teacher licensure
appear to be as different as they are similar. Teacher educators are challenged to
increase the number of program completers by creating innovative pathways to
certification, simultaneously producing teachers of quality who can effectively foster
the academic achievement of all students.
In light of the apparent failure of U.S. traditional teacher education programs to
generate an adequate number of new teachers in hard-to-staff urban and rural school
districts, the reviewed research of nontraditional teacher training has offered several
Teacher Preparation, Algebra I, Student Achievement 247
consistent findings. First, studies have demonstrated that alternative (or nontradi-
tional) certification programs have contributed highly qualified teachers, thus relieving
some immediate teacher shortages in core academic subjects such as mathematics,
science, special education, and English as second language (Chin, Young, & Floyd,
2004a; Clewell & Villegas, 1999; Feistritzer, 1993, 2003; Gimbert, Cristol, Wallace, &
Sene, 2005; Guarino, Santibanez, & Daley, 2006; Haberman, 1999; Natriello &
Zumwalt, 1993; Shen, 1998). Second, studies of teacher characteristics have indicated
that teachers from alternative certification routes, compared to those from traditional
programs, are more disposed toward teaching in high-need urban schools because of
the participants’ life and background experiences (Chin, Young, & Floyd, 2004b,
2006; Stoddart, 1993). Graduates of nontraditional and alternative teacher education
programs differ from traditional recruits in their background, typically older than
traditional licensed candidates (Guarino et al., 2006; Humphrey, Wechsler, Bosetti,
Wayne, & Adelaman, 2002). Third, nontraditional teacher preparation pathways have
been more likely to recruit prospective teachers who were willing to work with urban
students (Chin et al., 2004b; Natriello & Zumwalt, 1993; Shen, 1997) and who held a
higher expectation for students of color (Fox, 1984; Haberman, 1990, 1999).
Consistently since their inception, alternative certification programs have recruited a
greater number of minority teachers than their counterpart traditional preparation
programs (Feistritzer & Chester, 2006; Haberman, 1999). Significantly, research has
shown that alternative preparation programs have been successful in providing ‘‘hard-
to-staff’’ school systems with teachers who had diverse educational and ethnic
backgrounds (Chin et al., 2004a; Fox, 1984; Gimbert et al., 2005; Haberman, 1990,
1999; Miller, McKenna, & McKenna, 1998; Shen, 1997). Last, the majority of
teachers from alternative preparation programs have ‘‘switched’’ from another career
to education (Koneci et al., 2002).
In response to the recent global education community’s charge for an assessment
of the quality of teacher preparation and certification, international research has
addressed a comparison of teacher characteristics and training (Angrist & Lavy, 2001;
Bressoux et al., 2006; Chin et al., 2006; Darling-Hammond et al., 2005; Greenberg
et al., 2004; Haberman, 1999; Navarro & Verdisco, 2000). Researchers have explored
the attrition and retention rates of both traditionally and nontraditionally prepared
teachers (Birkeland, 2003; Boser & Wiley, 1988; Boyd, Grossman, Lankford,
Loeb, & Wyckoff, 2006; Darling-Hammond, Berry, & Thoreson, 2001; Guarino
et al., 2006; Haberman, 1999; Ingersoll, 2001; Shen, 1997; Stoddart, 1993), as well
as some aspects of teacher performance, such as sense of efficacy (Guyton, Fox, &
Sisk, 1991). However, considerable controversy has emerged about evidence that has
addressed whether or not nontraditional and alternative teacher preparation
programs produce teachers who are as competent and effective as those from the
traditional teacher education programs (Boyd et al., 2006; Bressoux et al., 2006;
Darling-Hammond et al., 2005; Decker, Mayer, & Glazerman, 2004; Goldhaber &
Brewer, 2000, 2001).
During the mid-1990s and the early years of the 21st century, teacher preparation
factions emerged that have identified with one of two tangential positions. One
248 B. G. Gimbert et al.
alliance has argued for a market-based, antiregulatory approach with fewer barriers to
entry for prospective teachers (Ballou & Podgursky, 1998). The other conglomerate
has aligned with a regulatory approach that enhanced teacher quality through higher
entry levels for preservice teachers, rigorous preservice preparation, and adoption of
teacher performance standards (Birkeland & Peske, 2004). Proponents of nontradi-
tional and alternative teacher education programs, those with an antiregulatory
agenda, have continued to espouse that U.S. market forces improve the quality of
teaching (Birkeland & Peske, 2004). Some research has supported this approach
through verification that no significant difference in achievement was found between
the students taught by nontraditionally prepared teachers and those taught by their
traditionally prepared counterparts (Boyd et al., 2006; Decker et al., 2004; Gimbert
et al., 2005; Goldhaber & Brewer, 2000; Miller et al., 1998). Opponents of
nontraditional teacher preparation, or advocates for increased regulation of U.S.
preservice teacher training and inservice teacher professional development, have
found that the K-12 students of teachers prepared through alternate pathways to
certification achieved less than their peers taught by traditionally prepared teachers
(Darling-Hammond & Berry, 1999; Darling-Hammond et al., 2001; Laczko-Kerr &
Berliner, 2003).
Teacher Training and Student Achievement
It is now clear from the literature review that the relationship between teacher
preparation and student performance is one of the most aggressively debated issues
among those who study global teacher education programs and related issues of
teacher licensure/certification. While K-12 institutions worldwide face teacher
shortages in specific content areas—mathematics, science and special education—
researchers, policy-makers, and practitioners contest the most effective ways to
prepare new teachers. Recent research efforts to assess the impact of teacher training
on K-12 student achievement (Bressoux et al., 2006; Goldhaber & Brewer, 2000,
2001; Laczko-Kerr & Berliner, 2003; Miller et al., 1998; Monk & King, 1994;
Wenglinsky, 2000; Wilson, Floden, & Ferrini-Mundy, 2001, 2002) have applied
analytical procedures to aggregated data from multiple state and national databases
situated in different countries. For example, U.S. studies have analyzed data from the
National Assessment of Educational Progress (NAEP), the National Educational
Longitudinal Study (NELS), Longitudinal Study of American Youth (LSAY), and
Staffing Surveys (SASS). Other studies have analyzed data from a survey conducted
by the French Ministry of Education (Bressoux, 1996; Bressoux et al., 2006), and
also from the Jerusalem Schools Authority, Israel (Angrist & Lavy, 2001).
Individually, these studies’ results have yielded conflicting and, at times, confusing
evidence about the relationship between type of teacher certification and student
achievement for both policy-makers and practitioners. Collectively, an in-depth
review of the more recent empirical large-scale empirical studies revealed some
consistent findings. In the next section, the findings of several noteworthy studies are
discussed, and this is followed by points of research consensus. In addition, gaps in
Teacher Preparation, Algebra I, Student Achievement 249
the scholarly literature are identified with respect to type of teacher training and
student performance.
Across studies using different units of analysis and different measures of
preparation, a significant relationship between teacher qualification and student
achievement has been documented and accepted. In a study based on regression
analysis of data from the National Educational Longitudinal Study (NELS, 1998),
Goldhaber and Brewer (2000) examined the relationships between 12th-grade
students’ performance in mathematics and science and teacher certification (3,786
mathematics students; 2,524 science students; 2,098 mathematics teachers; and
1,371 science teachers). They found several informative relationships. First, students
of teachers with mathematics degrees and/or certification in mathematics achieved
better than the students of teachers without subject matter preparation. Second,
student test scores in mathematics were higher when the teacher of record held
professional or full state certification, relative to the students’ scores when taught by a
teacher who was certified out of subject or held private school certification. Third,
students taught by teachers with bachelor’s and/or master’s degrees in mathematics
outperformed the students taught by teachers who were not credentialed in the same
field. Fourth, students taught by an uncertified science teacher or a science teacher
who held a private school certification showed lower scores. Fifth, measurement of
student achievement growth revealed no significant differences between mathematics
or science student test scores for teachers with emergency certification and those
traditionally certified. In their conclusion, Goldhaber and Brewer argued that ‘‘at the
very least,’’ the study’s outcomes ‘‘cast doubt on the claims of the educational
establishment that standard certification should be required of all teachers’’ (p. 145).1
In rebuttal, Darling-Hammond et al. (2001) disputed some of Goldhaber and
Brewer’s (2000) assertions pertaining to certification, claiming that the study’s very
small sample size did not permit such a far-reaching statement (Greenberg et al.,
2004). In the initial sample of 3,469 teachers, grades-10 and -12 student achievement
data from 58 mathematics and science teachers who held temporary or emergency
certification were analyzed. In their critique, Darling-Hammond et al. emphasized
that the regression coefficients for emergency and temporary certification generated
by Goldhaber and Brewer’s statistical model were generated from a very small sample
and were not statistically significant (Birkeland & Peske, 2004). In their reanalysis of
these data, Darling-Hammond et al. claimed that only about one third of the NELS
sample teachers who held temporary or emergency licenses were new entrants to
teaching with little or no educational background. Further, these researchers
demonstrated that many of the 24 science teachers (of 3,469 in Goldhaber and
Brewer study’s sample) with temporary or emergency certificates had experienced
similar years of teaching and subject-matter knowledge to the certified teachers in the
sample (Darling-Hammond & Sykes, 2003). Controlling for pretest scores, content
degrees, and years of experience, Darling-Hammond et al. demonstrated that
students taught by the subsample of teachers on temporary or emergency and who
were new to teaching attained smaller achievement gains than those who had attained
full state certification through a traditional pathway.2
250 B. G. Gimbert et al.
The literature on out-of-field teaching has supported the notion that, in order to
teach content effectively, a teacher must have a minimum of subject-matter
knowledge, the equivalent of a content major (Goldhaber & Brewer, 2000; Monk,
1994). Various empirical studies have debated the importance of education in
pedagogical methods versus education in a subject area. For example, using the
national dataset, the Longitudinal Study of American Youth (LSAY), Monk (1994)
found that teachers’ education coursework, more than additional preparation in
mathematics and science, was positively correlated to student academic achievement
in these subject areas. Further, this study ascertained that education courses in
subject matter have a positive effect on student learning at each grade level in both
mathematics and science.
An earlier U.S study by Hawk, Coble, and Swanson (1985) reported that a major
or minor in mathematics or science in an undergraduate teaching degree can enhance
student achievement. These researchers argued that in mathematics and science,
subject-matter knowledge has a significant impact on student test scores in these
subjects. The effects of teacher training on student achievement showed that, in
general mathematics as well as algebra, students taught by teachers certified in
mathematics had higher scores than their counterparts taught by teachers certified out
of field (Monk & King, 1994; Rowan, Chiang, & Miller, 1997). A follow-up study
conducted by Laczko-Kerr and Berliner (2003) compared certified teachers who had
completed a minimum 45 semester hr of education coursework with uncertified
teachers (Teach for America, provisional teachers, emergency teachers, holders of
bachelor’s degrees) who had experienced little or no education coursework, or any
other type that would meet the requirements for a standard certification. These
researchers used 109 matched pairs of the two groups of teachers and the Stanford
Nine (SAT-9) to analyze student academic achievement in Grades 3–8 in Arizona.
They concluded that students of certified teachers had higher test scores than those of
undercertified teachers.
A comparison of teacher qualifications, student background, and school
characteristics, the study conducted by Greenberg et al. (2004) used data from the
NAEP 2000 Grade-8 mathematics assessment to examine how teacher qualifications
were related to student achievement in mathematics among students enrolled in
U.S. public schools. In this study, four specific teacher qualifications were defined
accordingly: teacher certification, academic major or minor, highest postsecondary
degree, and years of teaching experience. Although relying on cross-sectional NAEP
background data for measures of student achievement, they found, independent of
other factors and teaching credentials, that teacher certification and holding a degree
in mathematics were the teacher qualifications associated with higher mathematics
achievement among eighth-grade public school students. Interestingly, a second
finding pertained to economically disadvantaged eighth-grade students who were less
likely to have a mathematics teacher with a degree in mathematics than their more
affluent counterparts. A third finding revealed that students in high-ability mathe-
matics classes were more likely to have teachers with a major or minor in mathematics
or mathematics education than students in mixed- or low-ability mathematics classes.
Teacher Preparation, Algebra I, Student Achievement 251
This study did not expose a statistically significant relationship between having a
major or minor in education and student achievement.
A recent study, conducted by Boyd et al. (2006), assessed how changes in entry
requirements altered the teacher workforce and affected student achievement. To
conduct the analysis of the relationship between six different types of pathways into
teaching, nontraditional and traditional, and student achievement, the researchers
constructed a student database ‘‘with student exam scores, lagged scores and
characteristics of students and their peers linked to their schools, teachers and
characteristics of those teachers, including indicators of the pathway into teaching’’
(p. 8). Specifically, this study’s research question addressed: Do students of teachers
who enter the classrooms with reduced coursework preparation and limited clinical
experiences achieve gains that differ significantly from students who are taught by
traditionally certified or temporary licensed teachers? Boyd et al. found that, relative
to other estimated effects, pathway differences are of moderate importance.
Specifically, for elementary mathematics and English/language arts (ELA), they
found that students of nontraditional teachers achieved as well as those of college-
recommended pathways by the end of the 3rd year of teaching. Likewise, for middle-
school mathematics, similar results have indicated that initially, there is no significant
difference between pathways of preparation. However, middle-school mathematics
students of teachers in one particular nontraditional pathway, Teaching Fellows,
made significantly greater improvement between their 2nd and 3rd years of teaching,
outperforming the students of college-recommended teachers. A prominent critique
of the Boyd et al.’s study is that all New York City teachers, including the NYC
Fellows, Teach For America, and other alternative route teachers, were required to
complete full certification requirements within 3 years of entering teaching.
Depending on the definition of alternate pathway to teacher licensure, Floden and
Meniketti (2006) noted that the Boyd et al. study could be considered a study that
compared standard route with delayed standard-route entrants.
These findings concur for the most part with findings in the earlier empirical
literature on pathways to teaching conducted in the U.S. For example, in a prior U.S.
study, Miller et al. (1998) explored the relationships between routes to teacher
certification and student achievement among Grade-3 public students. These
researchers used matched comparison of nine alternatively certified teachers and
nine traditionally certified teachers with the same 3-year teaching experience and
teaching in the same content area (elementary education). They found no significant
difference in student achievement between students taught by alternatively certified
teachers and their counterparts taught by the traditionally certified teachers in mathe-
matics or reading scores. Applying multivariate analysis of variance (MANOVA)
with the Iowa Test of Basic Skills (ITBS), Miller et al. found that students (n¼188)
of alternatively certified teachers achieved as well as the students (n¼ 157) of the
traditionally certified teachers in mathematics and reading.
In other nations, studies have analyzed national datasets to investigate the
relationship between teachers’ characteristics and student achievement (Angrist &
Lavy, 2001; Bressoux, 1996; Bressoux et al., 2006). Supported by their postulate,
252 B. G. Gimbert et al.
that the effects of inservice training for trained and untrained teachers have received
less research attention in developed countries than the consequences of teachers’
general skills, Angrist and Lavy (2001) presented an evaluation of the effect of
inservice training in Jerusalem schools. Using a matched comparison design with
differences-in-differences, regression, and matching estimates, Angrist and Lavy have
documented that on-the-job and inservice training in secular schools led to an
improvement in student achievement. An extension to Bressoux’s 1996 study that
had looked at the effect of inservice teaching on novice teachers in France, Bressoux
et al. (2006) studied the impact of different teacher and class characteristics on third
graders’ student achievement using two categories of teachers—trained novice
teachers and untrained novice teachers. Bressoux et al. found that teachers’ training
substantially improved student test scores in mathematics, whereas on reading scores,
teachers’ training was beneficial only to students in high-achieving classes. And, the
study’s findings reported that teachers’ education background had a significant
impact since untrained teachers who majored in sciences compensated for their lack
of training and had the same effect as trained teachers.
Despite the available global research that has investigated national and state data-
sets to ascertain the impact of teacher qualifications, surprisingly little research exists
that links the qualifications of individual teachers to the performance of students at
both the classroom-level and the individual-student level. Policy-makers and
practitioners have recognized that reliable measures and valid disaggregated data
procedures are vital to providing trustworthy indices of teacher effectiveness. Under
intense time constraints to meet the NCLB (2001) mandates in the U.S., a three-
pronged approach to meet this need was proposed by Adcock and Hislop (2004) that
directed studies to (1) implement disaggregated data collection procedures that
accurately identified the teacher-of-record for each student in a core academic
subject; (2) collect verifiable data that led to a definition of teacher quality; and (3)
adopt ‘‘value-added analytical procedures on the reported data to provide policy
makers with accurate and reliable indices of teacher effectiveness’’ (p. 1). The
ramifications were significant. States and districts were charged to construct NCLB
compliant data systems to collect data pertinent to teacher certification, academic
training, and years of experience (McCabe, 2004). And, as a priority, school districts
were required to collate accurate and valid disaggregated measurements of student
achievement at the school level and make these available for analytical procedures.
As previously discussed, however, much of the research in the field has been
conducted with state- or district-level aggregate data on teacher qualifications, rather
than on individual students and their teachers.
In summary, the aggressively debated issue about the impact of type of teacher
training, whether nontraditional or traditional, on student performance has generated
some points of consensus. The reviewed research offers several consistent findings.
First, graduates of nontraditional and alternative teacher education programs appear
to have increased the supply of teachers and changed the composition of the
teacher workforce, in particular for high-poverty urban schools. Second, many
teachers entering through nontraditional pathways have solid academic training and
Teacher Preparation, Algebra I, Student Achievement 253
have performed well on tests of general knowledge. Third, an estimation of the effect
of teachers on student achievement has demanded robust student test-score
data. Last, research on the effects of teacher preparation programs with reduced
requirements prior to teaching has been sparse. Evidently, empirical studies that
assess the impact of traditional and/or nontraditional preservice teacher preparation
policies on teacher quality are relatively scarce. It is, therefore, of particular
importance that the educational community advocates a robust research foundation
for understanding how best to structure teacher preparation programs from either a
nontraditional or traditional perspective (Boyd et al., 2006).
Despite a plethora of studies that have focused on macro-effects of teacher
qualifications, there is a noticeable lack of policy evaluation research with classroom-
based data on the individual student and valid teacher identification that investigates
validated classroom-based data. In particular, little research has studied the
performance of students who were taught by 1st-year teachers who experienced
different pathways of teacher preparation. In addition, the literature review did not
uncover a study that has analyzed disaggregated individual student-level and school-
based data identified with individual teacher-level data at a specific grade level in a
specific content. The intent of this study was to evaluate the impact of state policy
pertaining to nontraditional teacher preparation on student achievement using
disaggregated individual student-level data that matched individual students with
their individual teachers and controlled for teacher, student, and classroom
characteristics. Explicitly, the purpose of this study was to analyze the effects on
students’ mathematics performance of a nontraditional teacher-training program,
known as the Transition To Teaching (TTT) program, that was enacted through a
school division-university partnership. This empirical pilot study compared middle-
and high-school students’ achievement at the individual student and teacher level,
specifically in Algebra I, with type of teacher preparation. To determine the impact, if
any, of teacher training on students’ academic achievement outcomes, the following
questions were considered:
1. Did middle- and high-school students taught by nontraditionally prepared
teachers trained through the TTT program achieve in Algebra I as well as the
students who were taught by traditionally prepared teachers (non-TTT)?
2. Did the Algebra I test scores of students taught by nontraditionally trained
teachers change over time compared to the students of the traditionally trained
teachers?
Context of This Study
As is the case with most educational concepts that become popular over a rather short
period of time, alternative routes of teacher preparation appear to be as different as
they are similar. The large variability in alternative certification programs has made
it difficult to compare nontraditional teacher preparation with traditional teacher
training on student performance, often because there was not enough information
254 B. G. Gimbert et al.
concerning the characteristics or design features of the programs in question
(Darling-Hammond & Youngs, 2002). Essentially, a description of the specific
nontraditional teacher preparation program provides the context in which this study’s
emerging understandings unfolded.
Situated in a southeast school district in Virginia, this school system-university’s
nontraditional teacher preparation partnership was funded by a 5-year U.S.
Department of Education’s Transition To Teaching (TTT) grant. The purpose of
the TTT program was to meet this particular school division’s need for ‘‘highly
qualified’’ teachers (NCLB, 2002) in the high-need core academic subjects
(mathematics and science) in hard-to-staff schools. The target populations of this
TTT program were career switchers, recent college graduates, substitute teachers,
and professionals who had classroom experience. The objectives of the program were
two-fold. First, to recruit and prepare highly qualified teachers through alternative
licensure program in a Local Education Agency-Institute of Higher Education (LEA-
IHE) partnership, and ensure that these individuals receive their teaching license by
meeting competencies defined in the Virginia Licensure Regulations for School
Personnel (1998). Second, to provide to these individuals significant follow-up
support with a mentor and cohort experience in the first 3 years of teaching to help
them become highly effective teachers who make teaching their long-term careers.
It is important to note that the TTT program was a partnership between a high-
need local educational agency and a local institution of higher education founded
on the premises of a school – university partnership, specifically the professional
development school model (Holmes, 1986). The research site selection of the
high-need, majority-minority local education agency was based on this particular
school division’s nontraditional teacher preparation program that addressed five
standards of excellence for alternative certification programs (Haberman, 1991).
These standards were: (1) a highly selective approach for the participants’ acceptance
was applied [to this Transition To Teaching program]; (2) the program recruited the
best faculty to teach the candidates; (3) training to implement meaningful curriculum
content was afforded to these prospective teachers; (4) effective teaching methods
that focus on pedagogy were included in the training; and (5) evaluation of the
program’s effectiveness, or otherwise, was conducted.
Before entering the classroom, the TTT teachers participated in an intensive
training program that included curriculum and instruction methods, course content
related to the Virginia Standards of Learning, differentiation of instruction, classroom
behavior management, and human growth and development (Gimbert et al., 2005).
Upon completion of the Level I work, the school system employed these teacher
candidates on the basis of obtaining a Virginia 1-year eligibility teaching license. Level
II training continued during the 1st year of teaching and included a minimum of 20
instructional clock hours. Each beginning teacher was assigned a school-based
mentor and a cognitive content coach to assist their transition into the profession
during their first 3 years in the profession. Upon completion of both the Level I and
Level II training, the beginning teacher candidate on the nontraditional pathway was
eligible for a 5-year Virginia professional teaching license.
Teacher Preparation, Algebra I, Student Achievement 255
Specifically, this alternative pathway of teacher preparation required teacher
candidates who previously held at least an undergraduate degree in mathematics or
a degree with a major in mathematics and who were employed as a teacher-of-record
to attain state certification in a program that encompassed eight criteria. First, each
TTT teacher was required to meet the state’s professional experience coursework,
otherwise known as the pedagogical coursework, by participating in a content-specific
cohort that was supported by a school – university partnership between the school
district and a local institution of higher education. Second, each TTT teacher
experienced an intensive 3-year mentoring program based on the PathWise Teacher
Induction program (Educational Testing Service). Third, TTT teachers engaged in
individually-tailored professional growth experiences including peer tutoring. Fourth,
each TTT teacher completed a process of classroom-based research that included an
opportunity to present findings at a state and/ or national conference. Fifth, each TTT
teacher candidate attended the school districts’ New Teachers Academy. Sixth, each
TTT teacher was afforded an opportunity to complete college credits for professional
development (e.g., towards the attainment of a masters degree in literacy education or
special education). Seventh, each TTT teacher created and presented annually for 3
years an individual electronic portfolio that documents growth in professional
practice. And, eighth, each nontraditionally prepared TTT teacher was evaluated
according to the state’s teacher performance standards.
Methodology
A quasi-experimental design was used for this study because two intact groups of
subjects were formed on a basis other than random assignment. Specifically, a non-
equivalent comparison group design was used in the study. Teacher participants were
matched by school based on the type of classrooms, 1st year of teaching experience,
type of mathematics taught (Algebra I), grade level (middle or high school), and
teacher preparation experience of the teachers. Participating middle and high schools
were designated Title I schools, with approximately 47% – 52% economically dis-
advantaged student population that mirrored the school system’s Free and Reduced
lunch rate, 46.4%. With respect to ethnicity, each middle and high school mirrored the
school system’s demographics, 55% African-American, 35% White, and 10% Latino
and/or English as second language). To this extent, interclass selection bias was
controlled for student social-economic status and diversity, as well as class size.
Teacher Participants
The TTT program provided training to individuals who were interested in entering
the field of teaching but who had not received degrees in education. Potential
participants were required to have the following upon entry into the program: a 2.5
grade point average or higher in all college coursework; a bachelor’s degree or higher
from an accredited college or university with courses in mathematics or a bachelor’s
degree or higher from an accredited college or university with work experience related
256 B. G. Gimbert et al.
to mathematics; a qualifying score on the Praxis I series of tests that meets the
licensure requirements of Virginia in the area of reading, writing, and mathematics;
and a qualifying score on the Praxis II mathematics test with qualifying scores for a
Virginia alternative teaching license (known as a 1-year eligibility license). In
addition, successful applicants met the requirements for employment as a public
school teacher in the state of Virginia (Transition To Teaching, 2004). The TTT
program required qualified candidates to participate in a 5-week Summer Institute
that focused on pedagogical coursework as well as child and adolescent growth and
development. Each participant was expected to commit to teach for 3 years in the
urban school district where they received their training (Transition To Teaching,
2004). Of the 22 candidates, 18 completed Cohort 1, including 12 mathematics
teachers and 6 earth science teachers. However, only 6 of the 12 mathematics
teachers met the requirements to be included in the study (teaching applicably
sections of Algebra I, ABCD, or CD).
For the purpose of the study, a comparison group was selected of six non-TTT
teachers who were hired as mathematics teachers for the school year 2003 – 2004 in
the same district, and taught Algebra I (sections ABCD or CD). The six non-TTT
teachers referred to in the study represented the traditionally prepared teachers.
These non-TTT 1st-year teachers had experienced a traditional teacher preparation
program, were certified to teach in Virginia or other states, and attained state
certification/licensure. Each non-TTT teacher held at least a bachelor’s degree (a
major in mathematics), and demonstrated subject-matter competency by passing a
state-mandated mathematics test. In addition, each non-TTT teacher successfully
met the requirements of Title I, Part A of the NCLB Act (2001) to be defined as a
‘‘highly qualified’’ teacher, as well as the district and Virginia Department of
Education’s (VDOE’s) employment criteria.
The six TTT teacher participants were three males and three females, the average
age was 34 years, and ethnicity was three White, and three African American. The six
non-TTT teacher participants were four males and two females, the average age was 24
years, and the ethnicity was five White and one African American. All teacher partici-
pants, TTT and non-TTT, had passed the state-mandated subject-matter test, Grades
6 – 12 Mathematics, on their first attempt with an equal or higher minimum passing
score (using actual scores rather than self-reported data). Non-TTT teacher partici-
pants had successfully completed student teaching experience or equivalent clinical
practicum, attaining a grade of a Bþ or higher as noted on an academic transcript.
Participants enrolled in the TTT program must meet the same competencies as all
other teacher candidates for teaching certificates, and thus by the end of the their 1st
year of teaching, all TTT teachers have completed a similar set of courses to those
taken by the non-TTT teachers, graduates of college-recommended programs.
Research Sites
Three middle schools (MS), four high schools (HS), 12 teachers and a total of 335
students in a high-need urban school district in southeast Virginia participated in the
Teacher Preparation, Algebra I, Student Achievement 257
study (106 MS students and 229 HS students). The students taught by TTT Algebra
I teachers Cohort 1 (2003 – 2004) represented the experimental group (n¼150) and
those taught by 1st-year Algebra I non-TTT teachers in the same school system were
the comparison group (n¼ 185). Thus, the students taught by the six TTT teachers,
according to the specification (Algebra I, sections ABCD or CD) and their
counterparts taught by the six matched non-TTT teachers from the eight new
Algebra I teachers in the district, teaching sections ABCD or CD, hired during the
2003 – 2004 school year, were the participants (total considered n¼ 335). For
the sections, ABCD is a 2-year alternative method of taking Algebra I. CD is the 2nd
year of the 2-year course. MS Algebra I was a full-year course.
Matching Procedures
Of the eight non-TTT Algebra I (sections ABCD or CD) teachers hired in the district
during the 2003 – 2004 school year, six were matched to the six TTT Algebra I
(sections ABCD or CD) teachers in the same district. The decision for inclusion was
based on the type of school (MS or HS), the sections of Algebra I (ABCD or CD), the
grade level of teaching, and the type of teacher preparation experienced by the
teachers (see Table 1).
Measures
The student achievement data were collected over a period of 1 school year,
2003 – 2004. The first Algebra I quarterly test (Q1), the second Algebra I quarterly
test (Q2), the third Algebra I quarterly test (Q3), and the 2002 new version of the
Virginia Standards of Learning (VASOL) were used as the instruments for the study.
The Quarterly Tests (Q1, Q2, and Q3) were administered at the end of each 10-week
period. Quarterly Test 1 was given at the end of the first 10-week period of Algebra I
instruction (October, 2003). Quarterly Test 2 was given at the end of the second
10-week period of Algebra I instruction (January, 2004). Quarterly Test 3 was given
at the end of the third 10-week period of Algebra I instruction (March, 2004). The
state mandated test for Algebra I (VASOL test) was given at the end of the fourth 10-
week period of Algebra I instruction (June, 2004).
Table 1. Number of students by grade level and program
Pair Level TTT Non-TTT Total Grade Level Sections of Algebra I
1 MS 22 33 55 7 ABCD (3)
2 MS 43 8 51 8 ABCD (3)
3 HS 31 36 67 9 ABCD (4)
4 HS 32 27 59 9 ABCD (2)
5 HS 10 35 45 9 CD (3)
6 HS 12 46 58 9 CD (4)
Total 150 185 335
258 B. G. Gimbert et al.
The Algebra I quarterly tests used in the study were based on the VASOL test
items, blueprint, and objectives. The urban school district in this study administered
the quarterly tests to monitor the progress of Algebra students throughout the year. A
panel of mathematics instructors, along with the mathematics coordinator for
secondary education within the school district, worked collaboratively to design test
items that mirrored the format and depth of items found on the state-mandated
Algebra I end of course assessment. The quarterly tests examine the students’ ability
to utilize algebraic symbols; to solve problems using graphs, tables, and equations; to
understand patterns, relations, functions, and models; and to solve complex
problems using a variety of problem solving strategies (Gimbert et al., 2005).
An application of Cronbach’s Alpha statistic test determined the internal con-
sistency reliabilities of the three Algebra I quarterly tests to be a¼ .98, a¼ .97, and
a¼ .98 for Q1, Q2, and Q3, respectively. Correlation coefficients between the
VASOL scores and the Algebra I quarterly tests were estimated to assess the validity
of the quarterly assessments. Pearson correlation coefficients were significant for all
the Algebra I quarterly tests but were not large (see Table 2). The coefficients of
shared variance are 21.06%, 33.98%, and 22.46% for Q1, Q2, and Q3, respectively.
The VASOL (2002) end-of-year assessment tests were designed by a panel of
experts that were comprised of specialists in mathematics education at the
VDOE, experienced mathematics instructors from various school districts through-
out the state of Virginia, university faculties with expertise in mathematics and
instruction, and members of the Virginia Council of Teachers of Mathematics, an
affiliate of the National Council of Teachers of Mathematics. The state of Virginia
required all school districts to administer an end-of-course assessment for Algebra I
courses. The VASOL end-of-year assessment test was aligned with the standards
established by the National Council of Teachers of Mathematics (Commonwealth of
Virginia Board of Education, 2002; VDOE, 1999, 2002). The reliability and validity
of the Algebra I end of course assessment involved correlations with other related
measures and between other VASOL Algebra I tests. The Spearman Rank Order
Correlation coefficient ‘‘rho’’ between the Algebra I VASOL tests and the Stanford 9
Total Math test was r¼ .53 (VDOE, 1999, 2002). The reliability and validity of the
end-of-year assessment from the state was reviewed annually by the VDOE through
an analysis of field-tested items and student responses (VDOE, 1999, 2002). The
Table 2. Correlation coefficients
Q1 Q2 Q3 SOL
Q1 Pearson Correlation 1
Q2 Pearson Correlation .553** 1
Q3 Pearson Correlation .311** .552** 1
SOL Pearson Correlation .459** .583** .474** 1
n¼ 335.**Correlation is significant at p5 .001.
Teacher Preparation, Algebra I, Student Achievement 259
district used both versions of the VASOL (old and new). Only the students who did
not pass the VASOL for the first time were given the old version. For the purposes of
this study, each student completed the new 2002 version. The data derived from the
Algebra I quarterly tests and the VASOL were used to compare two groups of
students, an experimental group taught by TTT teachers and a comparison group
taught by the non-TTT teachers, and to determine the academic growth among
Algebra I students between both groups.
Data Collection
To ensure confidentiality, the chair of the research committee at the participating
district, the coordinator of the TTT program, and the teachers involved in the study
provided the coded data. The TTT and non-TTT teachers were not randomly
assigned. However, the student participants to sections of Algebra I by the adminis-
tration of individual middle and high schools were randomly assigned, and therefore
countered interclass selection bias. The student participants were assigned numbers
and pseudonyms and there was no personal identification.
Data were collected immediately following the administration of each quarterly
test. The state-mandated test for Algebra I (VASOL test), given at the end of the
fourth 10-week period of Algebra I instruction, was provided the school system’s
Office of Accountability and Equity in June 2004. At that point, the initial sample
(508) was revised to include data from only those students who met the following
two criteria: (1) they were taught by the same teacher for the duration of the school
year 2003 – 2004, and data were available for the assessments (Q1, Q1, Q3, and
VASOL). Of the initial sample, some students did not take one or more assessments,
and some dropped out or moved to another class or school. Therefore, their
scores were not considered in the study. For the group of students of the TTT
teachers, the student attrition rate was 34%, and for the group of students of the non-
TTT teachers the student attrition rate was also 34%, therefore consistent for both
groups, and thus eliminating a selection bias between the experimental and control
student groups. In summary, the initial and final sample size was composed of
335 students, 150 TTT students, and 185 non-TTT students. The final dataset
comprised only student achievement data for those who received instruction from
the same TTT or the same non-TTT teacher for the duration of the data
collection period, the school year 2003 – 2004, and participated in all four data
measures.3
Data Analysis
First, the Algebra I test scores were converted into Z scores to remove the scaling
factor from the original test score distributions. Second, descriptive statistics (means
and standard deviations) were used to compare the students taught by teachers from
the TTT program (experimental group) and those taught by the non-TTT teachers
(comparison group). Third, a 2 (TTT vs. non-TTT)64 (tests administrated)
260 B. G. Gimbert et al.
repeated measures analysis of variance (ANOVA) was used to examine the impact of
teachers’ TTT status on student achievement in Algebra I. Box’s test was performed
to determine whether the data satisfied the assumption of equality of covariance
matrices required for repeated measures. Last, follow-up tests were conducted to
determine which of the means for the experimental group (TTT) and the comparison
group (non-TTT) differed significantly from each other. Multivariate Analysis of
Covariance (MANCOVA) was performed as a follow-up, using Wilk’s lambda as the
criterion for multivariate significance, and using the Bonferroni adjustment for
multiple comparisons.
Descriptive Statistics
The means (M) and standard deviations (SD) of the three Algebra I quarterly tests
and the VASOL end-of-course mathematics test for the treatment and for the
comparison groups are provided in Table 3. Standardized scores for the same tests
are provided in Table 4.
Overall, the TTT students scored 11 points less than the comparison group,
on average, during the first Algebra I quarterly test period (MTTT¼ 63.38,
Mnon-TTT¼ 74.46). The first quarterly test (Q1) results revealed a half standard
deviation separated the two groups, in favor of the comparison group. The reported
effect size, Cohen’s d, was 0.44, considered as moderately large. In the second and
third quarterly tests (Q2 and Q3), as well as during the VASOL test periods, the TTT
students reversed the tendency and surpassed the non-TTT students. Specifically, in
the second and third Algebra I quarterly tests, and the VASOL test period, the TTT
students led the non-TTT students by respectively 7 points, 11 points, and 8 points
(see Table 3). The effect sizes, Cohen’s d, were for Quarterly Test 2, 0.42
(moderately large), Quarterly Test 3, 0.58 (moderately large), and VASOL end-of-
course test, 0.21 (moderate).
Table 3. Mean scores by grade level and program: quarterly tests and SOL
Q1 Q2 Q3 SOL
Level M SD n M SD n M SD n M SD n
Middle
Comparison 80.58 8.49 41 63.12 11.27 41 74.80 10.72 41 469.97 35.11 41
TTT 75.83 11.80 65 70.27 19.78 65 72.96 24.30 65 458.98 34.24 65
High
Comparison 72.72 10.80 144 54.25 16.15 144 55.93 17.08 144 432.89 37.96 144
TTT 62.68 15.75 85 58.25 12.92 85 69.83 11.73 85 442.91 41.92 85
Total
Comparison 74.46 10.82 185 56.21 15.62 185 60.11 17.70 185 441.11 40.33 185
TTT 63.38 15.57 150 63.46 17.26 150 71.19 18.26 150 449.88 39.47 150
Teacher Preparation, Algebra I, Student Achievement 261
Substantial difference in the advantage of the non-TTT students during the first
test period was followed in favor of the TTT students during the second and third test
periods. During the end-of-course test period, a small difference favoring the
experimental group was found (MZQ1¼7.24, MZQ2¼ .23, MZQ3¼ .32,
MZSOL¼ .12) for the students taught by the TTT teachers and (MZQ1¼ .20,
MZQ2¼7.19, MZQ3¼7.26, MZSOL¼7.09) for the students taught by the non-
TTT teachers (see Table 4).
Inferential Statistics
To evaluate whether the differences in academic achievement between the students
taught by the TTT teachers and their peers taught by the non-TTT teachers grew,
decreased, or remained similar from the first Algebra I quarterly test (Q1) to the
VASOL test, the mean Z scores for each group were analyzed and the F test calculated.
Box’s test indicated that the observed covariance matrices were significantly
different between the two groups (F10, 481187.5¼ 14.06, p5 .001). Therefore, the
Geisser-Greenhouse conservative F test was used to correct for the possibility of
positive bias in the F statistic arising from a violation of the equality of covariance
matrices assumption (Kennedy & Bush, 1985). The Geisser-Greenhouse test called
for using degrees of freedom equal to 1 in the numerator, and n-1 in the denominator.
In this case, the Geisser-Greenhouse adjustment yielded a significant interaction
between time period and groups (F1, 334¼ 53.48, p5 .001). Further, sphericity and
the results of assumptions of normality and independence were satisfactory. In
addition, the interaction effects (Algebra I6Treatment) were tested using the
multivariate criterion of Wilks’ lambda (L), and found to be significant (L¼ .738,
F4, 330¼29.315, p5 .001). This finding indicated that there was a statistically
significant effect of the multivariate repeated measure, the students’ scores over the
four measurement periods. This effect was qualified by the interaction with the TTT
and non-TTT independent variable. The significant interaction effect indicated a
Table 4. Mean Z scores by test, grade level, and group
Z score (Q1) Z score (Q2) Z score (Q3) Z score (SOL)
Level M SD n M SD n M SD n M SD n
Middle
Comparison .65 .62 41 .21 .67 41 .51 .57 41 .62 .87 41
TTT .30 .87 65 .64 1.18 65 .42 1.29 65 .34 .85 65
High
Comparison .07 .80 144 7.31 .96 144 7.48 .91 144 7.30 .94 144
TTT 7.67 1.16 85 7.07 .77 85 .25 .62 85 7.05 1.04 85
Total
Comparison .20 .80 185 7.19 .93 185 7.26 .94 185 7.09 1.00 185
TTT 7.24 1.15 150 .23 1.03 150 .32 .97 150 .12 .98 150
262 B. G. Gimbert et al.
unique pattern of test score variation that distinguished the students taught by a TTT
teacher from those taught by a non-TTT teacher. Although the students’ test score
data in the individual teacher’s classes were collapsed for the analyses, the use of the
repeated measure of students’ scores over the four measurement periods eliminated
some of the error variance.
Figure 1 (Mean Z scores by test periods and by groups) shows that the comparison
group had higher scores than the experimental group in the first test period (.20 and
7.24, respectively), a difference of .44 points, with significant F1, 333¼ 17.66,
p5 .001 for the Q1. In the second test period, the experimental group reversed the
trend and led the difference to .42 points (7.19 for the non-TTT and .23 for the
TTT students), with significant F1, 333¼ 16.23, p5 .001 for Q2. In the third test
period, the experimental group kept the lead over the comparison group by .58
points, respectively (.32 and 7.26), with significant F1, 333¼ 31.48, p5 .001 for Q3.
Finally, in the VASOL test period, a small advantage of .21 points also favored the
TTT group (7.09 for the non-TTT students and .12 for the TTT students), with a
significant F1, 333¼ 3.98, p¼ .047 for VASOL. MANCOVA was used to follow up
Figure 1. Mean Z scores by test periods and by groups
Note. Q1¼first quarterly test (end of first 1-week period of Algebra I instruction); Q2¼ second
quarterly test (end of second 10-week period of Algebra I instruction); Q3¼ third quarterly test
(end of third 10-week period of Algebra I instruction); SOL¼ end-of-course test, VASOL (end of
fourth 10 week period of Algebra I instruction)
Teacher Preparation, Algebra I, Student Achievement 263
the significant multivariate result. The interaction between TTT teacher preparation
and longitudinal Algebra I scores was significant (F1, 323¼ 32.33, p5 .001).
Findings
Current research shows that there is a significant relationship between teacher quality
and student achievement, even in studies using different units of analysis and
measures (Darling-Hammond & Youngs, 2002; Goldhaber & Brewer, 2000; Miller
et al., 1998; Wilson et al., 2001, 2002). In an effort to isolate the effect of teacher
certification on the achievement of students who are the most at risk of educational
failure and the most likely to have noncertified teachers, this study investigated the
impact of teacher preparation on student achievement. Through individual teacher-
level analysis, the level of performance in Algebra I, as well as the achievement
growth, of students taught by 1st-year alternatively prepared teachers was compared
to that of 1st-year traditionally prepared counterparts employed by the same high-
need urban school division.
Descriptive statistics performed on individual teacher-level data indicated that the
students taught by the TTT teachers (experimental group) achieve in mathematics
Algebra I as well as or better than the students taught by the non-TTT teachers
(comparison group). Means (M) and standard deviations (SD) of the original test
scores and of the transformed Z scores showed that the experimental group achieved
less during the first Algebra I quarterly test (Q1), had higher test scores on average in
the second and third Algebra I quarterly tests (Q2 and Q3), and had more success in
the VASOL, as compared to the non-TTT students (comparison group).
Furthermore, data analysis using a 264 repeated measures ANOVA shows that the
average Algebra I test scores were significantly different between the two groups
(F1, 323¼ 32.33, p5 .001). Follow-up tests with MANCOVA indicate that the
achievement of TTT teachers’ students, when compared to the achievement of non-
TTT teachers’ students, was lower during the first test period and significantly higher
for both the second and third test periods, but also was slightly better in the end-of-
course assessment. There was a significant difference between the two groups with a
small advantage for the experimental group in the last test period (VASOL).
Discussion
The results of this study show that middle-school (MS) students achieved better than
the high-school (HS) students in all the Algebra I tests for both groups. According to
a senior staff person in the district, 90% of MS students passed the end of course
assessment in Algebra I, while only 70% of HS students passed in the 2003 – 2004
academic year (Personal communication, 2004), which is consistent with the VASOL
results. Even though the VASOL results by themselves do not answer the research
questions of this study, it is important to remark that, in general, MS students had a
higher rate of success, compared to the HS students, during the VASOL test period.
Indeed, the VASOL results of the study show that 97% of MS students passed
264 B. G. Gimbert et al.
compared to 82% of HS students. In addition, the data indicate that 91% of the TTT
students passed the VASOL, while only 84% of the non-TTT students succeeded
(see Table 5).
Overall, Algebra I students of TTT teachers, compared to that of students taught
by the non-TTT teachers, did not perform as well during the first Algebra I quarterly
test period (Q1). The sudden reversal of tendency in algebra achievement between
Q1 and Q2 according to teacher training (while this tendency remained quite stable
afterwards) was striking. After lengthy debate, the researchers decided that this
pattern may be explained by the TTT teachers’ limited preservice clinical
experiences. For example, each non-TTT teacher had experienced a carefully
structured student teaching experience, whereas none of the TTT teachers had this
same experience. The results indicate that, in the second and third Algebra I quarterly
tests (Q2 and Q3), and during the end-of-course Algebra I test period (VASOL), the
experimental group outperformed the comparison group. Likewise, in the last test
period (VASOL), although there was only a small difference, the TTT students
achieved better than the non-TTT students.
Although considered a pilot study, an initial step that empirically investigated the
impact of type of teacher preparation on instructional practices and student
achievement, the methodological limitations were disclosed. The small number of
teachers (12) and students (150 to experimental group and 185 to comparison group)
and the specific nature of the TTT program in Virginia decreed that it was not
possible to generalize to a larger population. Furthermore, with the absence of
random teacher selection and random teacher assignment to either experimental or
comparison groups, the ability to generalize the findings of the study is also limited.
And, the researchers acknowledge that the most rigorous method to perform this
study would be to test the students of both groups before and after exposure to the
teachers. Otherwise, telling with precision the effect of teacher certification on
student achievement is limited. The researchers advocate that longitudinal research is
needed to track the students’ progress throughout their schooling to determine the
cumulative effects of teacher certification on students’ outcomes. Research that tracks
and matches students who are taught by the TTT teachers with their peers taught by
the non-TTT teachers, over a period of at least 3 years, would provide more
Table 5. SOL Results by grade level (middle school – Grades 7 & 8 and high school – Grade 9) and
group
TTT Non-TTT Total
Level P F P F P F
MS 62 3 41 0 103 3
HS 75 10 115 29 190 39
Total 137 13 156 29 293 42
Note. P¼ passed. F¼ failed.
Teacher Preparation, Algebra I, Student Achievement 265
information on the issue of the debate (Sanders & Rivers, 1996). The student attrition
rate was high (34%). And last, low validity coefficient correlations (.459, .583, and
.474, respectively, for Q1, Q2, and Q3) were unregistered for the Algebra I quarterly
tests. However, this was understandable because the quarterly tests are formative
measurements, while VASOL tests were summative measurements.
Conclusion
Recently, Guarino et al. (2006) attributed ‘‘insufficient and sometimes dwindling
resources’’ (p. 173) to the difficulty of realizing the dual goals of recruiting and
retaining effective teachers. Further, these researchers have claimed the current U.S.
economic conditions as the impetus for ‘‘many states to rollback their expenditures
on public education’’ (p.173). In response to burgeoning cutbacks, the educational
community and policy-makers have conducted urgent reviews to determine which
programs deserve local, state, and federal funds to raise the quality of teaching in the
‘‘most cost-effective manner’’ (p. 173). It is, therefore, of particular importance that
we turn to the broader question: Are nontraditional teacher preparation programs
a viable option for meeting the demands of the NCLB (2001) quality teacher
requirements? The findings of this study have important implications, as alternative
certification programs continue to afford a recruitment strategy to relieve teacher
shortages in particular subjects. The findings contradict some research that has
showed negative effects of alternative preparation programs on students’ performance
and indicate that the TTT students achieved better than the non-TTT students after
the first Algebra I quarterly test. Of course, the question remains whether the
particular training program studied here is similar to training programs that might be
used in other settings. Policy-makers, the public, and the educational community
should note that the results of this study support some recent large-scale empirical
studies that have suggested that well constructed and implemented alternative
certification programs can produce ‘highly qualified’ teachers, who have a positive
effect on students’ level of performance in mathematics (Humphrey & Wechsler,
2007).
Although the sample sizes of both the teacher and student participants were small
for this pilot study, the empirical findings indicate that nontraditional teacher
preparation programs are promising options for school districts to consider in the
effort to provide effective teachers for students in mathematics classrooms at the
middle-school and high-school levels. In relation to the retention plans/decisions of
the study participants, information revealed each TTT and non-TTT teacher
participants was offered, and accepted, a renewed contract for the following school
year and commenced teaching with the same school system in the next school year,
2004 – 2005. It should be noted that this information was accessed from the school
system’s human resources database, and although noted, it was not an issue that was
addressed in the research design. That stated, the researchers acknowledge that urban
school districts experience great difficulty in retaining beginning and certified
teachers, especially in mathematics. The findings do provide support for the potential
266 B. G. Gimbert et al.
of alternative teacher preparation programs to provide highly qualified mathematics
teachers who can effectively enhance student achievement at least as well as grad-
uates of college-recommended programs. Importantly, research should explore the
research questions: Are these alternatively prepared teachers retained in their
originating, high-poverty and hard-to-staff schools? And, do they stay in teaching for
5 years or longer?
Nontraditional and alternative teacher preparation programs must ensure that
prospective teachers trained by these means have access to research-based knowledge
afforded to teachers prepared through traditional teacher preparation. Both school-
and university-based teacher educators must start from the same premise. If school
division – university partnerships are to produce highly skilled and effective non-
traditionally prepared teachers who afford authentic learning experiences for every
student, then that partnership’s alternate route to teacher certification preparation
should be standards-based and research-driven. Recently, Boyd et al. (2006) have
proposed that the distinction between alternative certification programs and
traditional programs are becoming increasingly blurred. There appears to be as
much difference between traditional preservice teacher preparation programs as there
is between alternative teacher programs and their counterpart graduate college-
recommended programs.
To conclude, recent empirical studies have led us to understand that nontraditional
teacher preparation programs with high standards for entry, rigorous coursework
requirements, and stringent evaluation standards appear to be in concert with
traditional teacher preparation programs (Humphrey & Weschler, 2002, 2005;
Decker et al., 2004; Wilson et al., 2001). That stated, a ‘‘better’’ question for local
and state policy-makers to address is: What essential characteristics must be included
in any given teacher preparation program that enables a local educational agency to
meet its staffing needs with a diversified and highly effective teaching force? And,
given the current climate that demands key indicators of accountability measured by
standardized testing, research studies concerned with the impact of preservice teacher
preparation programs on student achievement gains in mathematics classrooms
might be conducted across more schools and grade levels.
Acknowledgement
This publication is supported by the Transition To Teaching federal grant funded
through the No Child Left Behind Act of 2001. The opinions expressed herein do not
necessarily reflect the position of the U.S. Department of Education, and no official
endorsement by the U.S Department of Education should be inferred.
Notes
1. In their study, Goldhaber and Brewer (2000) analyzed individual teacher-level data from NELS:
88, to explore 10th- and 12th-grade students’ gains in mathematics and science. The researchers
controlled for state licensing requirements, teacher undergraduate and graduate major, teacher
experience, and the student’s family background.
Teacher Preparation, Algebra I, Student Achievement 267
2. Through their reanalysis of the same dataset, NELS: 88, Darling-Hammond et al. (2001)
refuted claims by Goldhaber and Brewer (2000). Darling-Hammond et al. disputed the claims
based on the small sample size (only 24 science teachers and 34 mathematics teachers), and
highlighted the nonsignificance of the regression coefficients for emergency and temporary
certification in Goldhaber and Brewer’s model.
3. The present analysis did not include students’ class as a factor. Although teachers were
matched, classes were not, nor were the students. That is, if a teacher taught 35 students in two
Algebra I sections, the 35 students were combined into one group. Thus, although the study’s
design does not examine differences between individual classes of students, it does examine the
changes across these students over time and multiple dependent measures.
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