WWC review of this study

Remediating Number Combination and Word Problem Deficits among Students with Mathematics Difficulties: A Randomized Control Trial [Tutoring in solving word problems vs. control]

Fuchs, Lynn S.; Powell, Sarah R.; Seethaler, Pamela M.; Cirino, Paul T.; Fletcher, Jack M.; Fuchs, Douglas; Hamlett, Carol L.; Zumeta, Rebecca O. (2009). Journal of Educational Psychology, v101 n3 p561-576. Retrieved from: https://eric.ed.gov/?id=EJ861181

  • Randomized Controlled Trial
     examining 
    89
     Students
    , grade
    3

Reviewed: February 2020

At least one finding shows promising evidence of effectiveness
At least one statistically significant positive finding
Meets WWC standards without reservations
Algebra and Algebraic Reasoning outcomes—Statistically significant positive effect found for the domain
Outcome
measure
Comparison Period Sample Intervention
mean
Comparison
mean
Significant? Improvement
    index
Evidence
tier

Find X

Targeted Math Intervention vs. Business as usual

0 Days

Pirate Math versus Control;
89 students

0.39

-0.15

Yes

 
 
21
 
General Mathematics Achievement outcomes—Substantively important positive effect found for the domain
Outcome
measure
Comparison Period Sample Intervention
mean
Comparison
mean
Significant? Improvement
    index
Evidence
tier

Iowa Test of Basic Skills: Problem Solving and Data Interpretation

Targeted Math Intervention vs. Business as usual

0 Days

Pirate Math versus Control;
89 students

0.25

-0.03

No

--
Whole Numbers Computation outcomes—Statistically significant positive effect found for the domain
Outcome
measure
Comparison Period Sample Intervention
mean
Comparison
mean
Significant? Improvement
    index
Evidence
tier

Procedural Calculations Factor Score

Targeted Math Intervention vs. Business as usual

0 Days

Pirate Math versus Control;
89 students

0.48

-0.26

Yes

 
 
26
 

Number Combinations Factor Score

Targeted Math Intervention vs. Business as usual

0 Days

Pirate Math versus Control;
89 students

0.12

-0.36

Yes

 
 
20
 
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

Vanderbilt Story Problems

Targeted Math Intervention vs. Business as usual

0 Days

Pirate Math versus Control;
89 students

0.52

-0.25

Yes

 
 
27
 

KeyMath-Revised Problem Solving

Targeted Math Intervention vs. Business as usual

0 Days

Pirate Math versus Control;
89 students

0.26

-0.14

Yes

 
 
16
 


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.


  • 17% English language learners

  • Female: 39%
    Male: 61%

  • Urban
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    Tennessee, Texas
  • Race
    Black
    64%
    Other or unknown
    28%
    White
    8%
  • Ethnicity
    Hispanic    
    22%
    Not Hispanic or Latino    
    78%

Setting

The study took place in two, large, urban school districts, one in Houston, Texas and the other in Nashville, Tennessee. Participants were drawn from 63 classrooms across 18 schools: 7 schools and 23 classrooms in Houston and 11 schools and 40 classrooms in Nashville.

Study sample

Students in the Pirate Math intervention condition had the following characteristics: mean age of 8.98 years, 45% female, 762% eligible for subsidized lunch, 17% classified as special education, 29% had been retained a grade, 19% classified as English learners, 57% African American, 7% Caucasian, 26% Hispanic, and 10% other. Students in the control condition had the following characteristics: mean age of 8.86 years, 34% female, 77% eligible for subsidized lunch, 17% classified as special education, 23% had been retained a grade, 15% classified as English learners, 70% African American, 9% Caucasian, 19% Hispanic, and 2% other.

Intervention Group

The word problem solving program, Pirate Math, was the intervention. It was provided for 16 weeks, 3 sessions per week and included 48 lessons. Each session lasted 20 to 30 minutes. The 48 lessons are divided into 4 units. Trained tutors pulled students from the classroom at times other than reading or math instruction and delivered scripted lessons. Tutoring targeted solving total, difference, and change word problems. The introductory unit addresses foundational word problem skills, a counting up strategy for solving addition and subtraction basic facts, double-digit addition and subtraction, and how to find x when the unknown varies its position in simple addition and subtraction equations (a + b = c; e - f = g). The remaining 3 units utilize schema based instruction to teach 3 problem types; one per unit. Students learn total/combine, difference/compare, and change problems. Students are taught to recognize the structure of each problem, identify the unknown, and generate an equation that matches the structure of the problem type. Students were taught explicitly to recognize salient features of problem types and to identify transfer features that make identifying the problem type difficult. Activities included flash cards on basic facts, conceptual and strategic instruction, fluency practice on identifying problem types, and independent practice with paper/pencil review where number combinations, procedural calculations, and solving a word problem are included. Students solve the calculations for 2 min and the word problem for 2 min. Answers are reviewed.

Comparison Group

Students in the comparison condition participated in business-as-usual math instruction. In Nashville, teachers followed the Houghton Mifflin Math curriculum (Greenes et al., 2005). In Houston, teacher selected their own math curriculum but were guided by Houston's Horizontal Alignment Planning Guide.

Support for implementation

Tutors are provided scripts to be studied before tutoring, not read aloud to students during tutoring. Tutors were trained in a one-day session of instruction which included practicing implementation. Tutors then practiced alone, with a partner, and then provided tutoring to their supervisor before implementation. Ongoing meetings occurred every 2-3 weeks throughout the intervention period to address problems as they arise and to update any tutoring procedures.

 

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