| Preliminary
Efficacy Study
A preliminary study on the effectiveness of
a software program to improve student achievement in math
By Jefferey S. Lagozzino
July 30, 2004
The name of the school was withheld for this web publication.
Background:
M. Elementary School is one of ten elementary schools in a small
school district in an eastern suburb of Los Angeles. M. Elementary
serves approximately 950 students in grades kindergarten through
sixth. Economically, the school’s student population is poor. All
students (100%) qualify for the National School Lunch Program (a
commonly used measure to express the poverty level of a school’s
population). Ethnically, approximately 95% of all students are of
Hispanic/Latino origin with the remaining 5% divided between students
of Asian descent (3%) and Caucasian (2%). Linguistically, 60 % of
the student population is classified as English Language Learners,
with the majority of this group coming from Spanish speaking household.
Parent educational levels at M. Elementary are predominantly low
with 45% of its parents lacking a high school education. Statistics
on the higher educational levels of parents are as follows: 34%
have completed High School; 14% have taken, or are currently taking
some college courses; 5% are college graduates; and 2% have completed
or advanced degrees or post-graduate course work.
The preceding demographic information illustrates that students
at M. Elementary are faced with numerous educational challenges
that are not uncommon to today’s urban schools in Southern California.
Not surprisingly, in terms of academic achievement, M. Elementary
is in the bottom 20% of schools statewide. In the area of mathematics
achievement, 32.9% of the students in grades two through sixth scored
at proficient or advanced levels on standardized state tests administered
last school year (2002-2003). While this level met the minimum requirement
of 16% proficiency established by the state to comply with the No
Child Left Behind federal legislation, it is far short of the lofty
goal that all students meet proficiency targets by 2014.
In addition to the district’s core mathematics program (Saxon
Math), additional instructional resources and programs could be
instrumental in helping all students reach higher levels of achievement
in mathematics. The purpose of this study is to determine the effectiveness
of a new software application for math skill reinforcement and instruction.
Get Ahead Math is a series of software programs that present
seven grade level specific, core mathematical concepts in grades
3 through 8 through the use of video, step-by-step examples, practice
problems, and quizzes. Embedded in the program is a pre-assessment
that measures student readiness for instruction on the key concepts.
In addition to unit quizzes, the program presents a final test that
covers all seven of the key concepts as a measure of the student’s
overall mastery of the program’s content.
Methodology/Research Approach:
The purpose of this study was to see if use of the Get Ahead
Math software had a measurable impact on the improvement of
the mathematical achievement of students. The study was conducted
during the 2004 4-week summer school session (18 days) at M. Elementary
with students from grades 3 through 6. The research approach was
a pre/post test study with a control and experimental group at each
grade level. Both groups received mathematics instruction in the
district’s core math program (Saxon Math) by the same teacher to
control for differences in curriculum and instruction. In addition
to the core curriculum, the experimental group at each grade level
visited the computer lab with their mathematics teacher 4-5 times
each week for 45 minute sessions to utilize the Get Ahead Math
program. A pre/post test was designed for each grade level by the
researcher. The contents of the tests were grade level standards-based
math problems that matched the key concepts presented in the Get
Ahead Math program.
At the beginning of the study, the two groups of students at each
grade level were compared on the following statistics to ensure
that they were evenly matched: CAT-6 math scores, English language
proficiency, and parent education levels. Mean scores for these
statistics are presented in the Table 1.
Table 1: Comparative
Statistics on the Control and Experimental Groups |
Grade 3 |
Control Group (N=21) |
Experimental Group (N=24) |
Readiness Test* |
18.34 |
17.72 |
English Language Proficiency
1=Limited English
2=English Proficient |
1.14 |
1.21 |
Parent Education Levels
1=Not a high school graduate
2=High school graduate
3=Some college
4=College graduate
5=Graduate school/Advanced Degree(s) |
1.80 |
2.00 |
| |
Grade 4 |
Control Group (N=21) |
Experimental Group (N=25) |
2003 CAT-6 Math
(National Percentile Rank) |
50 |
52 |
| English Language Proficiency |
1.19 |
1.32 |
| Parent Education Levels |
1.76 |
1.82 |
| |
Grade 5 |
Control Group (N=10) |
Experimental Group (N=14) |
2003 CAT-6 Math
(National Percentile Rank) |
26 |
22 |
| English Language Proficiency |
1.4 |
1.07 |
| Parent Education Levels |
1.6 |
1.69 |
| |
Grade 6 |
Control (N=14) |
Experimental Group (N=15) |
2003 CAT-6 Math
(National Percentile Rank) |
23 |
26 |
| English Language Proficiency |
1.07 |
1.36 |
| Parent Education Levels |
2.00 |
1.73 |
| *Get Ahead Math
Readiness test administered to both groups of incoming
third graders because no standardized test scores were available
at the time of the study. |
Results/Analysis:
A simple comparison of pre- and post-test scores of all students
formed the basis of the analysis for this study. A mean pre-test
and post-test score was calculated for each group. For all grade
levels the pre-test mean scores were nearly identical for both the
control and experimental groups. Average post-test scores were higher
for all of the experimental groups in comparison with the control
groups. Students in the control groups also made progress; however
their average post-test scores were lower than that of the experimental
groups.
A second level of analysis compared the percentage of total possible
correct responses each group achieved in the aggregate on the pre-
and post-tests. For example, in Grade 3 the control group had 231
correct responses (sum of all scores) out of a total of 525 possible
correct responses (21 students X 25 math problems = 525) on the
pre-test, or 44% correct responses. On the post-test, this group
correctly answered 56% of the problems for an improvement of 12%.
This procedure was repeated for each group at every grade level.
In this analysis the experimental group posted greater gains than
the control group. A summary of the results appears in Table 2 below.
A multiple regression analysis using SPSS revealed no significant
predictive indicators of achievement on the post-test. For the purpose
of this analysis the total of correct responses on the post-test
was the dependent variable with the group assignment (control or
experimental), English language proficiency, and parent education
levels as independent variables.
While not part of the formal analysis, some anecdotal observations
may indicate that students in the experimental group were more motivated
to attend summer school than their counterparts in the control groups.
Each third and fourth grade group began the summer session with
30 enrolled students and each fifth and sixth grade group began
with 20 enrolled students. Continuous and final enrollment is evident
in the number of matched pre- and post- scores that were available
for analysis at the end of the study. In all grade levels, more
students in the experimental group remained for the duration of
the study than students in the control group. Perhaps the individualized
nature of the Get Ahead Math program and its presentation
in the computer lab accounted for this higher rate of student retention
throughout the summer school session. Increased motivation to learn
math through the use of technology may be an important outcome of
using the Get Ahead Math program and should be explored in
future research.
Table 2: Summary of
Pre/Post Test Results |
Grade 3 (25 problems)
|
Control Group (N=21)
|
Experimental Group (N=24) |
Pre-Test Avg. # Correct Response
|
11.00 |
10.67 |
Post-Test Avg. # Correct Response
|
14.00 |
14.79 |
Avg. Individual Improvement |
3.00 |
4.13 |
Pre-Test % of Correct Responses
(Group) |
44.00% |
42.67% |
Post-Test % of Correct Responses
(Group) |
56.00% |
59.17% |
% Group Improvement in Correct
Responses |
12.00% |
16.5% |
| |
Grade 4 (25 problems)
|
Control Group (N=21)
|
Experimental Group (N=25)
|
Pre-Test Avg. # Correct Response
|
11.29 |
10.64 |
Post-Test Avg. # Correct Response
|
15.90 |
16.96 |
Avg. Individual Improvement |
4.62 |
6.32 |
Pre-Test % of Correct Responses
(Group) |
45.14% |
42.56% |
Post-Test % of Correct Responses
(Group) |
63.62% |
67.84% |
% Group Improvement in Correct
Responses |
18.48% |
25.28% |
| |
Grade 5 (11 problems)
|
Control Group (N=10)
|
Experimental Group (N=14)
|
Pre-Test Avg. # Correct Response
|
4.60 |
4.00 |
Post-Test Avg. # Correct Response
|
4.60 |
4.79 |
Avg. Individual Improvement |
0.00 |
0.79 |
Pre-Test % of Correct Responses
(Group) |
41.82% |
36.36% |
Post-Test % of Correct Responses
(Group) |
41.82% |
43.51% |
% Group Improvement in Correct
Responses |
0% |
7.14% |
| |
Grade 6 (24 problems)
|
Control Group (N=14)
|
Experimental Group (N=15)
|
Pre-Test Avg. # Correct Response
|
9.43 |
9.53 |
Post-Test Avg. # Correct Response
|
9.57 |
11.27 |
Avg. Individual Improvement |
0.14 |
1.73 |
Pre-Test % of Correct Responses
(Group) |
39.29% |
39.72% |
Post-Test % of Correct Responses
(Group) |
39.88% |
46.94% |
% Group Improvement in Correct
Responses |
0.60% |
7.22% |
Limitations of Study:
There were two limitations with this study. First of all, the length
of the study was only 18 school days over a four week summer school
session. In this time, the experimental groups from each grade level
were able to complete only three out of the seven Get Ahead Math
units. The researcher compensated for this limitation by designing
a pre/post test for each level that only addressed the content of
the units that would be taught during the short summer school session.
Secondly, the number of student subjects in the study at each grade
level was too small to notice any significant patterns in the data.
Future research on the effectiveness of the Get Ahead Math
software could avoid these limitations by lengthening the time of
the study and increasing the number of students participating.
Conclusion:
Considering that this study was conducted over a four week session,
the minimal improvement in correct responses on the post-test and
the relative greater improvement in correct responses of the experimental
group compared to the control group is remarkable. The principal
of M. Elementary was encouraged by the results and stated that more
often than not she observes no academic growth that can be demonstrated
in the short period of time allotted for summer school. She is hopeful
that a longer implementation period will produce more dramatic results
and looks forward to implementing the Get Ahead Math software
as an after-school intervention program during the 2004-2005 school
year.
As mentioned above, an analysis of the effectiveness of the Get
Ahead Math program would be enhanced by a much larger study
conducted over a longer period of time. With greater numbers of
participating students at each grade level more sophisticated statistical
analyses, such as multiple regression, could be made. Furthermore,
the time length of a future study should be sufficient to allow
students to progress through all units of the Get Ahead Math
program. Considering that seven key concepts are developed at each
grade level, the researcher recommends a minimum implementation
period of seven weeks of at least four sessions per week.
Finally, in addition to measuring improvement on a test based on
the Get Ahead Math curriculum, a comparison of prior year
standardized test scores in mathematics with standardized test scores
following the Get Ahead Math program implementation is suggested
for future research. In this era of heightened national and state
accountability for producing greater levels of student achievement,
schools are challenged to implement proven, innovative, research-based
instructional strategies, academic programs and interventions to
enhance instruction and learning of all students. The results of
this small study indicate that Get Ahead Math is a promising
program worthy of further research.
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