WWC review of this study

Explicit Instruction in Mathematics Problem Solving.

Darch, Craig; And Others (1984). Journal of Educational Research, v77 n6 p351-59 . Retrieved from: https://eric.ed.gov/?id=EJ303598

  • Randomized Controlled Trial
     examining 
    73
     Students
    , grade
    4

Reviewed: April 2023

At least one finding shows promising evidence of effectiveness
At least one statistically significant positive finding
Meets WWC standards without reservations
Whole Numbers Word Problems/Problem Solving outcomes—Statistically significant positive effect found for the domain
Outcome
measure
Comparison Period Sample Intervention
mean
Comparison
mean
Significant? Improvement
    index
Evidence
tier

Researcher-developed story problems posttest

Explicit translation strategy—Darch et al. 1984 vs. Intervention

1 Day

Aggregated sample: Explicit (fixed and extended) vs. Basal (fixed and extended);
73 students

22.47

16.58

Yes

 
 
45
 

Study-developed posttest in Darch et al.

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

0 Days

Aggregated sample: Explicit (fixed and extended) vs. Basal (fixed and extended);
73 students

21.80

16.58

Yes

 
 
42
 
Show Supplemental Findings

Study-developed posttest in Darch et al.

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

1 Day

Explicit fixed vs. Basal fixed;
35 students

22.49

16.55

Yes

 
 
47

Researcher-developed story problems posttest

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

0 Days

Explicit extended vs. Basal extended;
38 students

22.58

16.58

Yes

 
 
45

Researcher-developed story problems posttest

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

0 Days

Explicit fixed vs. Basal fixed;
35 students

22.35

16.58

Yes

 
 
43

Researcher-developed story problems maintenance test

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

10 Days

Explicit extended vs. Basal extended;
38 students

21.65

14.80

Yes

 
 
43

Researcher-developed story problems maintenance test

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

10 Days

Aggregated sample: Explicit (fixed and extended) vs. Basal (fixed and extended);
73 students

19.59

15.87

Yes

 
 
25

Researcher-developed story problems maintenance test

Explicit translation strategy—Darch et al. 1984 vs. (Not applicable)

10 Days

Explicit fixed vs. Basal fixed;
35 students

18.93

17.46

No

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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: 51%
    Male: 49%
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    Oregon
  • Race
    White
    100%
  • Ethnicity
    Other or unknown    
    100%
  • Eligible for Free and Reduced Price Lunch
    Other or unknown    
    100%

Setting

The study took place in six regular 4th grade classrooms in Oregon.

Study sample

The students were in 4th grade, and were almost all white and middle-class. The gender mix was roughly equal. Students were skill deficient but the authors did not note any specific learning or other disabilities.

Intervention Group

The intervention condition was the use of an explicit translation strategy by teachers to teach students how to translate concrete problems into mathematical equations. In this review, the intervention condition includes both youth in the explicit extended and explicit fixed groups. The groups were the same except that youth in the extended practice group (n=19) received up to 8 extra practice lessons. The intervention focused on multiplication and division word problems. The method focused on modeling a step-by-step strategy and on identifying the appropriate operation for translation of a word problem. The instructor provided corrective feedback on specific errors. The instructor also covered the number families and relationships between multiplication and division. All students in this condition received 11 lessons that were 30 minutes each. Of the 30 minutes, 15 minutes were spent on teacher-led instruction and 15 minutes were spent with students independently working on story problem worksheets. Students were taught in small groups of 2 to 4 students by 4 graduate students with previous teaching experience.

Comparison Group

The comparison condition was a basal instructional method that was developed based on the four state-adopted mathematics textbooks used in elementary classrooms in Oregon. In this review, the comparison condition includes both youth in the basal extended and basal fixed groups. The groups were the same except that youth in the extended practice group (n=19) received up to 8 extra practice lessons. The basal instruction included a discussion designed to motivate students to engage with the content and a presentation of approaches for problem-solving. The system for approaching problem-solving strategies was less specific than in the treatment condition. Students in this condition received 11 lessons that were 30 minutes each. Of the 30 minutes, 15 minutes were spent on teacher-led instruction and 15 minutes were spent with students independently working on story problem worksheets. Students were taught in small groups of 2 to 4 students by 4 graduate students with previous teaching experience.

Support for implementation

The teachers were trained in the lessons for each of the experimental groups over a two-week period using role-playing techniques. They received feedback and errors in their practice were corrected by the experimenter. Teachers in both groups were given semi-scripted manuals that outlined the expected content and teacher-student interactions.

Reviewed: April 2009

Meets WWC standards without reservations


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: 52%
    Male: 48%
  • Race
    White
    100%
 

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