This study compared three different methods of teaching five basic algebra rules to college students. All methods used the same procedures to teach the rules and included four 50-question review sessions interspersed among the training of the individual rules. The differences among methods involved the kinds of practice provided during the four review sessions. Participants who received cumulative practice answered 50 questions covering a mix of the rules learned prior to each review session. Participants who received a simple review answered 50 questions on one previously trained rule. Participants who received extra practice answered 50 extra questions on the rule they had just learned. Tests administered after each review included new questions for applying each rule (application items) and problems that required novel combinations of the rules (problem-solving items). On the final test, the cumulative group outscored the other groups on application and problem-solving items. In addition, the cumulative group solved the problem-solving items significantly faster than the other groups. These results suggest that cumulative practice of component skills is an effective method of training problem solving.

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Home-based peer tutoring was used to teach math skills to 4 girls with deficits in mathematics and histories of abuse or neglect. Girls living in the same home formed tutoring dyads, and each participant served as both the peer tutor and the tutee during the course of the study. At the initiation of the tutoring intervention, an expert tutor provided multiple 3-min tutoring sessions to the designated peer tutor on three or four mathematics skills. The peer tutor concurrently provided 3-min tutoring sessions on the same skills to the tutee using a multiple baseline design. Results showed that participants improved their performance on all target skills. Additional interventions were implemented for some skills to improve accuracy further. Maintenance tests were also administered after 3 to 5 months of no practice on the skills. Results showed that tutors and tutees maintained their accuracy on 7 of the 12 skills assessed.

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