Teaching math skills to at-risk students using home-based peer tutoring

Arranging peer-tutoring instruction to promote inference-making

Peer-mediated instructional strategies (e.g., peer tutoring) have been effective at teaching academic responses in previous research. This study extended the literature by programming for inference-making, or derived relations. Across two experiments, researchers investigated the use of peer tutoring and inference-making to teach fraction-pictogram-percentage relations to 8 third-grade participants. In each experiment, participants served as both tutors and tutees in homogenous, reciprocal tutoring sessions. In Experiment 1, one tutor taught fraction (A)-pictogram (B) relations and the other tutor taught percentage (C)-pictogram (B) relations. In Experiment 2, each tutor taught one half of each of the relations. Results of both experiments demonstrated that the tutors learned all relations they taught, the tutees learned all relations they were taught, and all participants derived equivalence relations and demonstrated transfer of functions for comparative relations. A comparison of the two experiments suggests instructors should consider the difficulty of training relations when they design peer-tutoring instruction that engineers inference-making.

Peer tutoring and mathematics in secondary education: literature review, effect sizes, moderators, and implications for practice

A literature review was undertaken to compile all data on peer tutoring in secondary education (7^th to 12^th grade) mathematics from existing articles. Data from 42 independent studies were included in this research. All data regarding participants' roles (fixed vs. reciprocal), participants' ages (same-age vs. cross-age), the methodological approach taken (quantitative or qualitative), the type of design for those studies that involved a quantitative approach, the variables analyzed, and the organizational matters (number of participants, duration of the program, sessions per week, and duration of the sessions) are included in the article. The effect sizes of the 42 studies were calculated and examined. The main goal of the study was to determine those variables that were moderators of effect size, that is, the variables that significantly influenced students' academic achievement outcomes. Inferential statistical analyses (Student's t-test and ANOVAs) were carried out for the variables. Of the 42 studies examined, 88% showed positive effect sizes with the means being close to medium (Cohen's d = 0.38). Conclusions suggest the implementation of same-age over cross-age tutoring, during programs of fewer than 8 weeks, in sessions of less than 30 minutes is optimal for improving students' academic outcomes. Inclusion of control groups in similar future studies is recommended so effect sizes are not overestimated.

Single-case experimental designs: a systematic review of published research and current standards

This article systematically reviews the research design and methodological characteristics of single-case experimental design (SCED) research published in peer-reviewed journals between 2000 and 2010. SCEDs provide researchers with a flexible and viable alternative to group designs with large sample sizes. However, methodological challenges have precluded widespread implementation and acceptance of the SCED as a viable complementary methodology to the predominant group design. This article includes a description of the research design, measurement, and analysis domains distinctive to the SCED; a discussion of the results within the framework of contemporary standards and guidelines in the field; and a presentation of updated benchmarks for key characteristics (e.g., baseline sampling, method of analysis), and overall, it provides researchers and reviewers with a resource for conducting and evaluating SCED research. The results of the systematic review of 409 studies suggest that recently published SCED research is largely in accordance with contemporary criteria for experimental quality. Analytic method emerged as an area of discord. Comparison of the findings of this review with historical estimates of the use of statistical analysis indicates an upward trend, but visual analysis remains the most common analytic method and also garners the most support among those entities providing SCED standards. Although consensus exists along key dimensions of single-case research design, and researchers appear to be practicing within these parameters, there remains a need for further evaluation of assessment and sampling techniques and data analytic methods.

A comparison of two flash-card methods for improving sight-word reading

Flash cards have been shown to be useful for teaching sight-word reading. To date, the most effective flash-card instruction method is incremental rehearsal (IR). This method involves the instructor interspersing unknown stimulus items into the presentation of known stimulus items. In this study, we compared IR to a modified IR procedure-strategic incremental rehearsal (SIR)-to determine whether the effects of IR might be improved by incorporating variables likely to increase word acquisition. These included increased opportunities to respond to unknown stimuli, using learner responding as a basis for changing instructional items, and systematic prompting methods. An A-B-A-B design was used to compare the effects of IR and SIR for increasing sight-word reading with 4 elementary school students. Results indicated that students read more words correctly with SIR than with IR. In addition, similar patterns of responding were seen at a 2-week follow-up.