Effects of a Multitier Support System on Calculation, Word Problem, and Prealgebraic Performance among At-Risk Learners [Calculation intervention vs. control]
Powell, Sarah R.; Fuchs, Lynn S.; Cirino, Paul T.; Fuchs, Douglas; Compton, Donald L.; Changas, Paul C. (2015). Exceptional Children, v81 n4 p443-470. Retrieved from: https://eric.ed.gov/?id=EJ1065063
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examining174Students, grade2
Practice Guide
Review Details
Reviewed: February 2020
- Practice Guide (findings for Targeted Math Intervention)
- Quasi-Experimental Design
- Meets WWC standards with reservations because it uses a cluster quasi-experimental design that provides evidence of effects on individuals by satisfying the baseline equivalence requirement for the individuals in the analytic intervention and comparison groups.
This review may not reflect the full body of research evidence for this intervention.
Evidence Tier rating based solely on this study. This intervention may achieve a higher tier when combined with the full body of evidence.
Findings
|
Outcome measure |
Comparison | Period | Sample |
Intervention mean |
Comparison mean |
Significant? |
Improvement index |
Evidence tier |
|---|---|---|---|---|---|---|---|---|
|
Second-Grade Calculations Battery (SGCB; Fuchs, Hamlett, & Powell, 2003): Double-digit |
Targeted Math Intervention vs. Business as usual |
0 Days |
Calculation Response to Intervention vs. Business as usual comparison;
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10.88 |
5.31 |
Yes |
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|
|
Second-Grade Calculations Battery (SGCB; Fuchs, Hamlett, & Powell, 2003): Single-digit |
Targeted Math Intervention vs. Business as usual |
0 Days |
Calculation Response to Intervention vs. Business as usual comparison;
|
9.28 |
4.83 |
Yes |
|
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|
Outcome measure |
Comparison | Period | Sample |
Intervention mean |
Comparison mean |
Significant? |
Improvement index |
Evidence tier |
|
|---|---|---|---|---|---|---|---|---|---|
|
Second- Grade Story Problems (Fuchs, Seethaler, et al., 2008) |
Targeted Math Intervention vs. Business as usual |
0 Days |
Calculation Response to Intervention vs. Business as usual comparison;
|
5.53 |
7.91 |
Yes |
|
||
| Show Supplemental Findings | |||||||||
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Word-Problem - Distal Outcome (composite) [Powell et al. 2015] |
Targeted Math Intervention vs. Business as usual |
0 Days |
Calculation Response to Intervention vs. Business as usual comparison;
|
-0.03 |
0.02 |
No |
-- | ||
Evidence Tier rating based solely on this study. This intervention may achieve a higher tier when combined with the full body of evidence.
Sample Characteristics
Characteristics of study sample as reported by study author.
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18% English language learners -
Female: 55%
Male: 45% -
Urban
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South
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Race Black 53% Other or unknown 7% White 15% -
Ethnicity Hispanic 25% Not Hispanic or Latino 75%
Study Details
Setting
The study took place in 25 schools in a metropolitan school district across four cohorts (one per year for 4 years). Whole-class instruction was delivered November to March and tutoring was delivered December to March during the school year.
Study sample
Demographic characteristics of the students in the Calculation RtI condition are as follows: 47% male; 53.1% African American, 10.4% White, 5.2% other, and 31.3% Hispanic; 93.8% qualified for free or reduced priced lunch; 8.3% were identified as having a disability; 18.8% were English Language Learners; and 7.3% had been retained. Demographic characteristics of the students in the Control condition are as follows: 39.7% male; 52.6% African American, 20.5% White, 9% other, and 17.9% Hispanic; 88.5% qualified for free or reduced priced lunch; 14.1% were identified as having a disability; 17.9% were English Language Learners; and 11.5% had been retained.
Intervention Group
The two-tiered Calculation intervention is a combination of Tier 1 whole-class lessons and Tier 2 small-group tutoring lessons. Tier 1 consisted of 34 whole-class lessons with two lessons per week over a 17-week period. Each lesson lasted approximately 40 to 45 minutes and was delivered by research assistants in the students’ classrooms. Tier 2 consisted of 39 small-group tutoring lessons delivered by research assistants to groups of 2 to 3 students. Tutoring started at the beginning of weeks 4 or 5 of the Tier 1 intervention and lasted for 13 weeks with 3 lessons a week. Each lesson lasted 25 to 30 minutes and took place outside of the student’s classroom (i.e., library, conference room, hallway). The Calculation whole-class intervention and small-group tutoring focused on 1) interconnected knowledge about number (e.g., cardinality, inverse relation between addition and subtraction, commutative property) and 2) practice. Both are important in developing conceptual and procedural competence with one- and two-digit addition and subtraction calculations (e.g., Fuchs et al., 2013; Fuson & Kwon, 1992; Geary et al., 2008; Groen & Resnick, 1977; LeFevre & Morris, 1999; Siegler & Shrager, 1984).
Comparison Group
Students in the comparison classrooms received their math instruction from the district curriculum, Houghton Mifflin Math.
Support for implementation
Research assistants participated in two 6-hour training sessions where they learned to implement the Tier 1 and Tier 2 interventions. Before entering schools, research assistants had to demonstrate proficiency on a practice lesson (95% fidelity against the lesson’s fidelity checklist). Weekly meetings were held with the first author, project coordinators, and research assistants to discuss upcoming lessons and problems encountered.
An indicator of the effect of the intervention, the improvement index can be interpreted as the expected change in percentile rank for an average comparison group student if that student had received the intervention.
For more, please see the WWC Glossary entry for improvement index.
An outcome is the knowledge, skills, and attitudes that are attained as a result of an activity. An outcome measures is an instrument, device, or method that provides data on the outcome.
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The sample on which the analysis was conducted.
The group to which the intervention group is compared, which may include a different intervention, business as usual, or no services.
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The number of students included in the analysis.
The mean score of students in the intervention group.
The mean score of students in the comparison group.
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Study findings for this report.
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and the regulations for ED discretionary grants (EDGAR Part 77).