Understanding rational numbers is critical for secondary mathematics achievement. However, students with mathematics difficulties (MD) struggle with rational number topics, including fractions, decimals, and percentages. The purpose of this systematic review was to describe the instructional foci of rational number interventions, determine the overall effect size, and explore potential moderators. Forty-three studies were included and 150 effect sizes were meta-analyzed using robust variance estimation. The majority of studies focused on teaching fraction magnitude and arithmetic. An overall effect size of g = 1.02 [0.80, 1.25] was found for rational number interventions favoring treatment conditions over business as usual control. Proximal measures contributed to higher effect sizes than distal measures. Limitations included a high number of fraction interventions contributing to the overall effect size and a large amount of heterogeneity among study effect sizes.

Students with emotional-behavioral disorders (EBDs) often learn in alternative classroom settings to provide more intensive instruction that meets their educational needs. Although research has demonstrated promise for several behavior intervention practices in general education settings, the generalizability of these practices to more restricted environments is unknown. Thus, this meta-analysis aimed to examine the class-wide behavior interventions tested in self-contained learning environments for students with EBDs. Studies investigating behavioral interventions in alternative elementary settings were systematically screened. Fifteen studies with 20 effect sizes met inclusion criteria and results from each study were synthesized. An estimated average effect was calculated ( g = 0.93, SE = 0.16), demonstrating that tested interventions are typically effective in self-contained learning environments to improve student behaviors. A thematic analysis and multi-level meta-regression were conducted to determine which elements are most beneficial to students in these unique learning environments. Results indicated that interventions that included relational supports, such as daily parent communication, differentially benefited students ( B = 1.26, SE = 0.15). Limitations include the small number of studies meeting inclusion criteria that have investigated behavior interventions in self-contained settings and the need for improved research quality. Implications suggest support for adapting standardized practice elements, such as group contingencies, to improve student behaviors in multiple learning environments.

Number lines can benefit students in learning an array of mathematical concepts. An area of mathematics where number lines are visibly underused is in teaching measurement concepts. For students in upper elementary grades, accurate measurements require the use of mathematical precision and coordination, including skills in fractions and decimals, operations, and magnitude. A robust knowledge of measurement holds significant value in students’ development of mathematical proficiency, particularly for students with learning disabilities in mathematics. Using number lines to teach and perform mathematical processes involving measurement can build fluency and conceptual understanding for all learners, including those with learning disabilities. This article demonstrates the versatility of integrating number lines into mathematical interventions involving measurement concepts for students with learning disabilities in mathematics. Measurement content discussed includes distance, time intervals, liquid volume, and mass. Scenarios with examples of how to apply number lines to each measurement form are described.

Motivational interviewing (MI) is an established, research-based intervention that focuses on building intrinsic motivation to promote lasting, healthy changes in a variety of situations. In school settings, MI has been used to improve student motivation, attendance, punctuality, confidence in schoolwork, and self-determination as well as increase student academic grades. Students who exhibit challenging behaviors in schools often feel ambivalent toward change and teachers often have a difficult time motivating them toward positive and prosocial behaviors and actions. This article describes the framework of MI and gives specific descriptions of how middle school teachers and other school personnel can use MI to help their students who are experiencing challenging behaviors due to lack of motivation increase their likelihood of school success.