Strategic Development for Middle School Students Struggling With Fractions: Assessment and Intervention

What role do comprehension-oriented learning strategies have in solving math calculation and word problems at the end of middle school?

BACKGROUND

Math is a difficult subject with which many upper middle-school students struggle. In addition to knowledge, skills, and motivation, effective learning strategies play an important role in learning math.

AIMS

This study aimed to examine the effects of comprehension-oriented learning strategies (perceptual and abstract grouping of material) - together with math self-concept, task-persistent learning behaviour, earlier math skills, reasoning abilities, and reading comprehension - on solving mathematical calculation and word problems at the end of middle school.

SAMPLE

The sample consisted of 231 students (50% boys; mean age in Grade 9 = 15.55 years) from 16 schools and 31 classrooms in Estonia.

METHODS

Students were tested twice - once at the end of Grade 6 and once at the end of Grade 9. Calculation and problem-solving skills were assessed at both time points. Math self-concept, teacher-rated task persistence, reasoning abilities, and reading comprehension were assessed in Grade 6. Learning strategies were assessed using a word-memorization task in Grade 9. Multiple regression analysis was used.

RESULTS AND CONCLUSIONS

Applying abstract (but not perceptual) grouping was related to higher calculation and problem-solving skills. Math skills were persistent over time, and calculation and problem-solving skills mutually affected each other. Math self-concept, task persistence, and reading comprehension had a positive effect on problem-solving but not calculation skills. The study noted deficient use of comprehension-oriented strategies at the end of middle school, suggesting that more attention should be paid to teaching and discussing such learning strategies. These findings suggest that students' math skills may be enhanced by supporting metacognitive awareness and use of comprehension-oriented learning strategies.

SRSD Fractions: Helping Students at Risk for Disabilities Add/Subtract Fractions With Unlike Denominators

Many students fall below benchmarks in the area of fractions computation, particularly students with disabilities. Self-regulated strategy development (SRSD) is one strategy with proven effectiveness for improving outcomes for students with disabilities, although very few studies have applied SRSD to the area of mathematics. In this study, we used SRSD Fractions to teach adding and subtracting fractions with unlike denominators, simplifying fractions, and converting fractions to mixed numbers using the mnemonics FILMS, CUT, and EDIT. A researcher provided instruction in small groups to fifth-grade students at risk for disabilities. The results from use of a multiple-baseline-across-groups design suggest a functional relationship between SRSD Fractions and 8 fifth-grade students' digits correct on timed fraction probes. Results from treatment fidelity, social validity, and academic engagement during the intervention are also reported. We also discuss limitations and directions for future researchers.