WWC review of this study

The Effect of Explicit and Direct Generative Strategy Training and Working Memory on Word Problem-Solving Accuracy in Children at Risk for Math Difficulties [Word problem instruction - complete condition vs. word problem instruction - restate condition]

Swanson, H. Lee; Moran, Amber; Lussier, Cathy; Fung, Wenson (2014). Learning Disability Quarterly, v37 n2 p111-123. Retrieved from: https://eric.ed.gov/?id=EJ1022817

  • Randomized Controlled Trial
     examining 
    42
     Students
    , grade
    3

Reviewed: March 2020

No statistically significant positive
findings
Meets WWC standards with reservations
Whole Numbers Word Problems/Problem Solving outcomes—Indeterminate effect found for the domain
Outcome
measure
Comparison Period Sample Intervention
mean
Comparison
mean
Significant? Improvement
    index
Evidence
tier

Schema Assessment Task – modified for children

Targeted Math Intervention vs. (Not applicable)

0 Days

Restate intervention group vs complete intervention group intervention group;
42 students

0.69

0.80

No

--

Comprehensive Mathematical Abilities Test and KeyMath problem-solving subtests

Targeted Math Intervention vs. (Not applicable)

0 Days

Restate intervention group vs complete intervention group;
42 students

0.59

1.10

No

--


Evidence Tier rating based solely on this study. This intervention may achieve a higher tier when combined with the full body of evidence.

Characteristics of study sample as reported by study author.


  • Female: 44%
    Male: 56%
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    California
  • Race
    Asian
    2%
    Other or unknown
    87%
    White
    11%
  • Ethnicity
    Not Hispanic or Latino    
    87%

Setting

The study took place in third-grade classrooms in four elementary schools in two school districts located in the Southwest region of the United States.

Study sample

The authors do not provide sample characteristics by group. The entire study sample (across all 4 groups) included 46 males and 36 females. Eleven percent of the sample was Caucasian, 87% Hispanic, and 2% Asian. Out of the full sample of 82, 54 students learned Spanish as their first language but the authors also note that all of these students earned a proficient score on the California English Language Development Test.

Intervention Group

Students in the restate intervention condition participated in 20 lessons, delivered twice per week for 10 weeks. Each lesson lasted 30 minutes. Each lesson proceeded through four phases. During the warm-up phase, which lasted about 5 minutes, children solved calculation problems and puzzles. This was followed by the modeling phase, which also lasted about 5 minutes. During this phase, instruction only focused on the question and the goal, unlike the complete intervention condition (which served as the comparison for this review). During this phase, students were asked to tell the tutor what the question was, write down a paraphrased version of it, and then solve the problem. During the guided practice phase, the tutor read another problem out loud to the students. Students were then prompted to write the question in their own words in their notebooks. Children shared what they wrote with each other. Finally, the students solved the problem. Once students demonstrated that they had mastered the steps in the guided practice phase, they moved on to the independent practice phase, which lasted 15 minutes. During this time, children worked on three problems individually using the strategies they had used during guided practice.

Comparison Group

Students in the complete condition also participated in 20 lessons, delivered twice per week for 10 weeks. Each lesson lasted 30 minutes. Each lesson proceeded through four phases. During the warm-up phase, which lasted about 5 minutes, children solved calculation problems and puzzles. This was followed by the modeling phase, which also lasted about 5 minutes. During this phase, the tutor read a word problem out loud and asked students to identify what the problem was asking (the question), what information was needed to answer the question (the relevant propositions), and what information was included in the problem that was not necessary for answering the question (the irrelevant propositions). Then the tutor asked the students to explain what they would do to solve the problem and they solved the problem together. During the guided practice phase, the tutor read another problem out loud to the students. Students were then prompted to write the question and the relevant and irrelevant propositions in their own words in their notebooks. Children shared what they wrote with each other. Finally, the students solved the problem. Once students demonstrated that they had mastered the steps in the guided practice phase, they moved on to the independent practice phase, which lasted 15 mintues. During this time, children worked on three problems individually using the strategies they had used during guided practice.

Support for implementation

Tutors participated in a four-hour training session. During the training session, tutors practiced delivering to other tutors and the project director each of the 20 scripted lessons. Additionally, the project director and project coordinator observed each tutor at three or four random times and assessed the sessions using a fidelity rubric checklist, which covered each phase of the lessons and was sensitive to intervention condition. Observations of tutors occurred during 17.5 percent of the lessons, and mean implementation fidelity was 96 percent with restate condition, 93.1 percent and 97.1 percent with the complete condition (range = 80 percent to 100 percent). Any tutor who fell below 90 percent received additional assistance, direct coaching, and immediate follow-up observations. Before a tutor could move from the guided practice phase to the independent practice phase, all children in a given intervention condition needed to demonstrate knowledge and correct usage of the strategies targeted in a given lesson.

 

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