Effects of I Can Learn® on Math Achievement in Gwinnett County Middle School

Kyle Scafide JRL Enterprises, Inc.

Abstract

Based on a random sample of 620 8th grade students from Lilburn Middle School in Gwinnett County, Georgia, the researcher compared student performance of I CAN Learn® and traditionally-taught students on the Georgia Criterion-Referenced Competency Test (GCRCT), math scale. Students in the treatment group (I CAN Learn® Mathematics) scored significantly higher on the math scale. The effect size was .16.

Intervention

The I Can Learn® education system is a computerized mathematics software solution, specializing in Algebra and pre-Algebra. Aligned to state and national mathematics standards, it presents and assesses content in an interactive learning environment. The teacher in an I Can Learn® classroom is the facilitator of instruction, providing individual, small-group, or whole-class instruction as needed. The "Classroom Explorer" is a class management/gradebook system that provides real-time feedback on student progress. Teachers use the Classroom Explorer to determine which students need additional assistance with any given concept.

The I Can Learn® system is intended to be used as the primary system of instructional delivery-- not as a supplemental or resource tool. The I Can Learn® system consists of 303 lessons from basic mathematics to advanced Algebra concepts. With the help of education service specialists, teachers choose the lessons that align to their local curriculum needs. Each lesson includes a pretest, presentation in a real-world context, guided practice, individual practice, and a posttest. Problem-solving skills also are strengthened with challenging "journal" problems that require writing in math while solving multi-step application problems. Complete information about the system is available at www.icanlearn.com.

Sample

Gwinnett County, Georgia has a population of about 673,000 and annual per capita income of $25,000. About 73 percent of county residents are White. (http://quickfacts.census.gov/qfd/states/13/13135.html). Lilburn Middle School in Gwinnett County serves about 2,100 students in grades 6 through 8. Approximately 70 percent of Lilburn students qualify for free or reduced-price school lunch and approximately 90 percent are non-white. In the 2002-2003 school year, 75 percent of Lilburn students met the state standard for mathematics on the Georgia Criterion-Referenced Competency Test (http://www.gwinnett.k12.ga.us/gcps-mainweb01.nsf/FileAttachments/784887D7D956485385256BCE004FEE8F/$file/LilburnMS.pdf).

In October 2002, I Can Learn® courseware was introduced into 8th grade math classes at Lilburn. The 2003-2004 school year was the first full year of implementation. This evaluation is based on eighth grade students in the 2003-2004 school year who were assigned to either a traditionally-taught or I Can Learn® classroom based on a random assignment process. The Pearson Digital Learning SASI mass scheduling software was used for student assignment, but according to the principal, special education students were separately assigned by random draw. This ensured that special education students were also represented in both the I CAN Learn® and traditional classes.

The sample included in this study consists of all 620 8th grade students at Lilburn Middle School who took the GCRCT in May 2004. One teacher taught in I CAN Learn® classes. Although natural student groups were used, this may also be considered an advantage in terms of external validity in that the setting was not contrived.

Tables 1, 2, and 3 describe the demographics of the treatment (I Can Learn®) and control (traditionally-taught) groups.

Table 1
Student Gender by Class Type

Gender
Class Type
Traditional
I Can Learn
Total
Female
Count
277
2
319
% within class type
51.7%
50.0%
51.5%
Male
Count
259
42
301
% within class type
48.3%
50.0
48.5%
Total
Count
536
84
620
% within class type
100.0%
100.0%
100.0%
Chi square=0.08; p=0.82

Table 2
Ethnicity by Class Type

Ethnicity
Class Type
Count
Traditional
I Can Learn
Total
Asian
% within class type
79
11
90
Count
14.7%
13.1%
14.5%
Hispanic
% within class type
231
28
259
Count
43.1%
33.3%
41..8%
White
% within class type
60
3
63
Count
11.2%
3.6%
10.2%
African American
% within class type
158
39
197
Count
29.5%
46.4%
31.8%
Mixed race
% within class type
8
3
11
Count
1.5%
3.6%
1.8%
Total
% within class type
536
84
620
Count
100.0%
100.0%
100.0%
Chi square=14.2; p=0.006

Table 3
Lunch Status by Class Type

Class Type
Traditional
I Can Learn
Total
Free lunch
Count
314
51
365
% within class type
58.6%
60.7%
58.9%
Reduced lunch
Count
60
16
76
% within class type
11.2%
19.0%
12.3%
Paid lunch
Count
162
17
179
% within class type
30.2%
20.2%
28.9%
Total
Coun
536
84
620
% within class type
100.0%
100.0%
100.0%
Chi square=6.2; p=0.049

The Chi squares for ethnicity and lunch status were both significant at the p <.05 level, indicating that these demographic variables differed in the two groups. The I Can Learn® classes had significantly greater proportions of African American students and students qualifying for free or reduced-price lunch. Because these demographics differed by group, separate analyses are presented by ethnicity and lunch status.

Dependent Measure: Georgia Criterion Referenced Competency Test (GCRCT)

The GCRCT math test was implemented in Georgia in 2000 in grades 4, 6, and 8. Grades 1, 2, 3, 5, and 7 were added in 2002. The test was designed to assess how well students acquire the skills and knowledge described in the Georgia standards, the Quality Core Curriculum. The math test consists of 60 items in seven sub-parts-- Number Sense and Numeration, Geometry and Measurement, Patterns and Relationships/Algebra, Statistics and Probability, Computation and Estimation, and Problem Solving. The Georgia Department of Education offers claims of validity and reliability but does not offer specific technical information (http://www.doe.k12.ga.us/curriculum/testing/crct.asp). Scale scores for the math test range from 150 to 450. Scores that are at or above 350 indicate a level of performance that exceeds the standard for the state test; scores from 300 to 349 indicate a level of performance that meets the standard; and scores below 300 indicate a level of performance that does not meet the standard.

Implementation Fidelity

According to school staff and the I CAN Learn® education representatives who visited the classroom weekly, implementation of the intervention was as intended. Teachers in the I CAN Learn® classrooms received professional development in how to use the software and how to manage the instructional environment. They used the computer as the primary system of instructional delivery and relied on the Classroom Manager reporting system to help identify students who needed individual or small-group instruction on specific concepts.

Results

The GCRCT 2004 math scale score was compared for the I CAN Learn® and traditionally-taught students. Means and standard deviations of the two groups were used to compute effect sizes (see Table 4).

Table 4
Descriptive Statistics and Effect Sizes

Class type
N
Mean
Std. Deviation
Std. Error Mean
Effect
size*
Total
Control
536
317.6866
33.4509
1.4449
.16
I CAN Learn
322.8452
20.1969
2.2037
*(treatment mean - control mean)/total SD

An independent samples t-test was used to determine if mean differences were statistically significant. The t-test results are presented in Table 5. The t for "equal variances not assumed" was used because the assumption of equality of variances was not met (see Levene’s test results in Table 5).

Table 5
t-tests of Mean Differences Between I CAN Learn® and Traditional Classes on GCRCT Math Scale

Levene's Test for Equality of Variances

t-test for Equality of Means

F
Sig.
t
df
Sig. (2-tailed
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference
Equal variances
Lower
Upper
GCRCT Math Scale
assumed
18.485
.000
-1.374
618
.17
-5.1587
3.7541
-12.53
2.2137
not assumed
-1.958
164.971
.05
-5.1587
2.6351
-10.36
4.420E-02

As shown in Table 5, the mean difference was statistically significant, indicating that the I CAN Learn® students outperformed traditionally-taught students.

Results by Student Sub-groups

Data were disaggregated by gender, ethnicity, and lunch status to determine the effects of the treatment on important student subgroups.

>Gender. Although males scored slightly higher than females in both groups, the ANOVA interaction between class type and gender was not statistically significant (F=1.192, p=.28). See Table 6 for means by class type.

Table 6
Mean Scale Scores by Gender and Class Type

Mean
Std. Error
95% Confidence Interval
Gender
Class Type
Lower Bound
Upper Bound
Female
Traditional
319.152
1.923
315.376
322.927
I CAN Learn
320.262
1.988
310.566
329.958
Male
Traditional
316.120
4.937
312.215
320.024
I CAN Learn
325.429
4.937
315.732
335.125

Ethnicity. To determine whether student ethnicity and class type had an interactive impact on the GCRCT score, a one-way analysis of variance was computed. Ethnicity was coded as White or non-White only. The interaction term was not statistically significant (F=.12, p=.73) although the mean for non-white students in the I CAN Learn® classes was higher than the mean for those students in traditional classes. See Table 7.

Table 7
Mean Scale Scores by Ethnicity and Class Type

Mean
Std. Error
95% Confidence Interval
Ethnicity
Class Type
Lower Bound
Upper Bound
White
Traditional
324.783
4.126
316.681
332.885
I CAN Learn
324.000
18.450
287.767
360.233
Non-White
Traditional
316.792
1.465
313.916
319.669
I CAN Learn
322.802
3.551
315.829
329.776

Socioeconomic Status. Using free or reduced price school lunch as a proxy for socioeconomic status (SES), students' scores could be compared by SES subgroup. The interaction between lunch status and class type was not statistically significant (F=.88; p=.42).

Table 8
GCRCT Math Total Means by SES and Class Type

Mean
Std. Error
95% Confidence Interval
Class Type
Lunch Status
Lower Bound
Upper Bound
Traditiona
Free
313.538
1.792
310.019
317.057
Reduced
325.383
4.099
317.333
333.434
Student paid
322.877
2.495
317.977
327.776
I CAN  Learn
Free
322.686
4.446
313.954
331.418
Reduced
324.625
7.938
313.954
340.215
Student paid
321.647
7.701
306.523
336.771

Conclusions

Given the findings based on this sample of 620 8th grade students at Lilburn Middle School, it must be concluded that the intervention, the I CAN Learn® system, significantly improves student achievement in math as measured by the Georgia CRCT. Student gender, ethnicity, and socioeconomic status did not impact findings.

Although the effect size is small (.16), the difference is particularly meaningful when one considers that a passing score on the GCRCT is 300 or above. Of the I CAN Learn® students, 92.9% scored above the criterion. Only 70.5% of traditionally-taught students scored above the criterion. A Chi-square test of differences is significant (Chi square = 18.6, p = .000). Thus, I CAN Learn® students were significantly more likely to pass the math portion of the GCRCT.