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…

Screening is necessary to detect risk and prevent reading failure. Yet the amount of screening that commonly occurs in U.S. schools may undermine its value, creating more error in decision making and lost instructional opportunity. This 2-year longitudinal study examined the decision accuracy associated with collecting concurrent reading screening…

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 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…

This study examines the relationship between systematic direct observation (SDO) of time on task (TOT) and student engagement as measured by a self-report task-specific measure. The research questions guiding the study are (a) what is the relationship between SDO of TOT and a self-report measure of student effort, and (b) what is the relationship…

This article investigates the utility of various estimates of mathematics proficiency. The participants were 432 students in Grades 2 through 5. The delayed alternate form reliability of multiskill probes, retention probes, slopes of student growth, and trials to criterion were computed. The fluency probes were found to be both sufficiently…

Curriculum-Based Assessment for Instructional Design (CBA-ID) provides data used to ensure an appropriately challenging learning task. One aspect of appropriate challenge measured by CBA-ID, called the acquisition rate (AR), involves the amount of new information a student could acquire and retain during initial learning. Previous research…