Algebra is critical to high school graduation and college success, but student achievement in algebra frequently falls significantly below expected proficiency levels. While existing research emphasizes the importance of quality algebra instruction, there is little research about how to conduct problem analysis for struggling secondary students.…

The current study demonstrates how conceptual and procedural knowledge can be used as a heuristic to better understand student math difficulties in order to develop interventions and lay the groundwork for future research. Math interventions were implemented with two elementary students using a nonexperimental single-case design. One student…

This article is about a school-district-initiated partnership with university faculty and their effort to implement a mathematics multi-tiered system of support (MTSS). In addition to reporting research about MTSS implementation, we describe how this district translated research into practice. We also share the perceptions of key stakeholders…

Incremental rehearsal (IR) has consistently led to effective retention of newly learned material, including math facts. The number of new items taught during one intervention session, called the intervention set, could be used to individualize the intervention. The appropriate amount of information that a student can rehearse and later recall…

The purpose of this study was to examine the effects of Incremental Rehearsal (IR) and traditional drill (TD) on retention of multiplication facts with 29 students in third and fourth grades with low mathematical skills. Results indicated that IR led to significantly more facts being retained, and was essentially equal to TD for efficiency as…

Computational fluency is an important aspect of math proficiency. Despite widely held beliefs about the differential difficulty of single-digit multiplication math facts, little empirical work has examined this issue. The current study analyzed the number of repetitions needed to master multiplication math facts. Data from 15,402 3rd, 4th, and 5th…

The second edition of this essential handbook provides a comprehensive, updated overview of the science that informs best practices for the implementation of response to intervention (RTI) processes within Multi-Tiered Systems of Support (MTSS) to facilitate the academic success of all students. The volume includes insights from leading scholars…

The current study reviews a computer-based math fluency intervention with 216 third- and fourth-grade students who were at risk for math difficulties. The intervention used a computer software program to practice math facts an average of three times per week for 8 to 15 weeks. Data were compared to those of 226 students in a control group. Results…

Mathematics fluency is a critical component of mathematics learning yet few attempts have been made to synthesize this research base. Seventeen single-case design studies with 55 participants were reviewed using meta-analytic procedures. A component analysis of practice elements was conducted and treatment intensity and feasibility were examined.…

The study examined the use of a conceptual and procedural framework for identifying math deficits and delivering appropriate interventions. Participants were two first-grade students and one third-grade student, who were identified as struggling with the grade-appropriate content in math. The first-grade students focused on addition and the…

Implementation of effective interventions relies on the use of assessment data to adequately describe the learning problem and offer potential solutions. The use of curriculum-based assessment and measurement when combined with the learning hierarchy could offer a paradigm for decision making based on a skill-by-treatment interaction.…