Mathematical Problem-Solving Characteristics of Middle School Students With Learning Disabilities

1993 ◽  
Vol 27 (2) ◽  
pp. 175-201 ◽  
Author(s):  
Marjorie Montague ◽  
Brooks Applegate
2011 ◽  
Vol 34 (4) ◽  
pp. 262-272 ◽  
Author(s):  
Marjorie Montague ◽  
Craig Enders ◽  
Samantha Dietz

The purpose of the study was to improve mathematical problem solving for middle school students with learning disabilities by implementing a research-based instructional program in inclusive general education math classes. A total of 40 middle schools in a large urban district were matched on state assessment performance level (low, medium, and high performing) and socioeconomic status. One school from each pair was randomly assigned to the intervention condition, and one eighth grade math teacher participated at each school ( n = 40). Because of attrition at the outset, 24 schools completed the study (8 intervention, 16 comparison). The intervention, Solve It!, a research-based cognitive strategy instructional program, was implemented for 7 months, and periodic progress monitoring was conducted. A cluster-randomized design was used, and the data were consistent with a three-level model in which repeated measures were nested within students and students were nested within schools. The results indicated that students who received the intervention ( n = 319) showed significantly greater growth in math problem solving over the school year than students in the comparison group ( n = 460) who received typical classroom instruction. Moreover, the intervention effects did not differ for students with learning disabilities, low-achieving students, and average-achieving students. Thus, the findings were positive and support the efficacy of the intervention when implemented by general education math teachers in inclusive classrooms.


1993 ◽  
Vol 16 (1) ◽  
pp. 19-32 ◽  
Author(s):  
Marjorie Montague ◽  
Brooks Applegate

Using a cognitive-metacognitive theoretical framework, this study examined the verbalizations of middle school students as they thought aloud while solving three mathematical word problems. Middle school subjects who had been identified as learning disabled, average achieving, and gifted were given demonstrations and practice in thinking aloud and were then instructed to solve one-step, two-step, and three-step word problems while thinking aloud. A priori categories were developed based on information-processing theory and a cognitive-metacognitive perspective of mathematical problem solving. Verbalizations were coded, and between-group and grade comparisons of the number of verbalizations within categories were conducted. The relationship between type of verbalization and overall performance was also analyzed. The findings support Ericcson and Simon's (1980) view of concurrent verbalization as a technique for assessing cognitive processes and Swanson's (1988) notion that students with learning disabilities may use a qualitatively different approach to problem solving than their nondisabled peers.


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