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Instructional interactions that occur between teachers and students around foundational mathematics topics are critical for supporting mathematical proficiency among students with mathematics learning disabilities (MLD). This study investigated whether the initial mathematics skill of 880 kindergarten students at risk of MLD predicted the quantity and quality of explicit instructional interactions (i.e., overt teacher modeling, student practice opportunities, and academic feedback) experienced during an empirically validated Tier 2 kindergarten mathematics intervention. It also examined whether the quantity and quality of such instructional interactions predicted gains in student mathematics achievement. Researchers conducted 740 direct observations of 255 intervention groups within a multiyear, randomized controlled trial. Results suggested that intervention groups with lower initial mathematics skill received higher rates of academic feedback and made more frequent errors. In addition, more frequent and higher quality academic feedback and group practice opportunities predicted increased mathematics achievement. Implications for investigating the active ingredients of mathematics interventions are discussed.

Accumulating research has established explicit mathematics instruction as an evidence-based teaching practice. This study utilized observation data from a multi-year efficacy trial to examine the longitudinal effects of a core kindergarten mathematics program on the use of explicit mathematics instruction among two distinct groups of teachers: one group that used standard practices in Year 1 of the efficacy trial and the core program in Year 2, and a second group that used the core program in both years. Targeted teaching practices consisted of teacher models, student practice opportunities, and teacher-provided academic feedback. Implementation of the program in Year 2 was found to increase the mean rates of teaching practices of teachers who used standard teaching practices in Year 1. Effect sizes are also suggestive of a positive impact of a second year of implementation with the core program. Implications for designing explicit mathematics programs and investigating evidence-based practices in future research are discussed.

We report on a practitioner implementation of Fusion, a first-grade mathematics intervention. Studies such as this evaluation of a loose implementation under realistic conditions are important to curriculum developers' understanding of how evidence-based programs and tools work under a variety of implementation scenarios. In this quasi-experimental study, first-grade students (n = 253) in 10 schools were assigned to treatment (n = 154) or control (n = 99). Rather than randomly assigning students, schools assigned those students most at risk to treatment and, typically, those less at risk to control. School staff administered pre- and postassessments and led Fusion sessions approximately 30 min per day, 3 days per week. The intervention resulted in a significant positive effect on a researcher-developed first-grade math measure. The implementation of Fusion and feedback from school staff provided insights to guide the curriculum development process.

This study examines the effect of 30 min of small group explicit instruction on reading outcomes for first-grade Spanish-speaking English learners (ELs) at risk of reading difficulties. Participants were 78 ELs from seven schools who were receiving Spanish only, or Spanish and English, whole group reading instruction in first grade. Students were rank-ordered within schools and then randomly assigned to a treatment condition (n = 39) or a comparison condition (n = 39). Students in the treatment condition received instruction on transition elements that supported their transfer of skills from Spanish to English. Students in the comparison condition received Business as Usual instruction from a variety of commercially available programs. Findings indicated that ELs in both conditions made significant gains from pretest to posttest on all reading outcomes even though instruction in the treatment condition focused significantly more on higher order skills (i.e., vocabulary, comprehension, and transition elements) whereas instruction in the comparison condition focused significantly more on lower order skills (i.e., phonics, word work, and sentence reading). Implications for practice and future research are discussed.

The production of an effective mathematics curriculum begins with a scientific development, evaluation, and revision framework. The purpose of this study was to conduct an initial investigation of a recently developed Tier 2 mathematics curriculum designed to improve the outcomes of first grade students at risk for mathematics difficulties (MD). The curriculum, which is anchored to a scientific design framework and a well-specified theory of change, centers on the careful integration of foundational concepts of whole number and validated-design principles of explicit and systematic instruction. Four instructional groups, with each consisting of five first grade students with MD and one interventionist, participated in the study. Data related to the feasibility, usability, and promise of the curriculum to improve student mathematics achievement were collected using multiple methods. Results provide preliminary evidence in terms of these curriculum development and evaluation areas. Implications for instruction and design research are discussed.

This article examines the efficacy of a multitiered systemic reading intervention for increasing the intensity and quality of explicit literacy instruction that teachers provide in first-grade classrooms. Schools ("j" = 16) were randomly assigned to the treatment or comparison condition. In both conditions, teachers ("i" = 42) provided 90 min of Tier I reading instruction to first-grade students ("n" = 883). In the treatment condition, Tier I classroom teachers were trained to enhance their core reading instruction by making instruction more explicit and intensive through standardized protocols and ongoing coaching support. At-risk treatment students ("n" = 240) also received an additional 30 min of Tier II supplemental reading intervention that was highly aligned with Tier I instruction. The focus of this study is on the Tier I portion of the multitiered intervention and the impact of the Tier I Enhancing Core Reading Instruction intervention on teacher practices. Results indicate positive effects of the Tier I intervention on the quality of explicit instruction and the frequency and accuracy of group practice opportunities provided to students.

The present review builds on earlier research that evaluated the curricular features of core math programs to improve the performances of students with or at risk for mathematics difficulties. In this review, three elementary math programs, at Grades 2 and 4, were evaluated for the presence of eight instructional principles. Math intervention studies have empirically validated these principles for promoting math proficiency of students struggling with mathematics. Data were collected via a researcher-developed scoring rubric. Findings indicate that adherence to the instructional principles varied markedly within and across programs. In addition, the results indicated that the current textbooks contain a general lack of explicit instruction and provide too few practice opportunities to teach material to mastery. Implications for future curricular reviews and enhancing core math instruction are discussed. (Contains 3 tables.)

Concern about poor mathematics achievement in U.S. schools has increased in recent years. In part, poor achievement may be attributed to a lack of attention to early instruction and missed opportunities to build on young children's early understanding of mathematics. This study examined the development and feasibility testing of a kindergarten mathematics curriculum designed to focus on the development of early number sense, geometry, measurement, and mathematics vocabulary. A mixed-model analysis of covariance, using pretest score as a covariate, was used to determine the effect of the experimental curriculum on student achievement on a standardized measure of early mathematics. Achievement results as well as implementation fidelity and teacher satisfaction suggest that further empirical research on the efficacy of the curriculum is warranted. (Contains 1 table.)