Cover, Copy, Compare (CCC) has been shown to be an effective intervention at improving single-digit multiplication fluency within the academic intervention literature. The application of the three-term contingency trial embedded within CCC provides the intervention with several key components of evidence-based interventions. Given that teachers…

While an abundance of evidence-based mathematics interventions are available to support students' mathematics fluency, research suggests that they are not often implemented within schools. Moreover, national data suggests that most students in the United States are not meeting grade level expectations in mathematics. This underperformance coupled…

This formative study of a multiplicative reasoning (MR) intervention explored the intervention's potential for improving the ability of third-grade struggling students' ability to reason with multiplicative concepts and procedures. The feasibility of the study was examined in a school setting before a randomized control trial was conducted.…

Multiplicative thinking involves the ability to coordinate bundled units on a more abstract level than additive thinking and implies the identification of the different meanings of the multiplier and the multiplicand. The transition from additive to multiplicative thinking, however, constitutes an obstacle for many children. Specific formulations…

An Australian longitudinal study of 319 Kindergartners developed, implemented and evaluated an intervention, the Pattern and Structure Mathematics Awareness Program (PASMAP). It comprised of repetitions and growing patterns, structured counting and grouping, grids and shapes, partitioning, additive and multiplicative structures, measurement and…

There is a growing body of research that suggests that video-based interventions, such as video modeling and video prompting, are effective tools for teaching academic skills to struggling learners. This study used a single subject, multiple-baseline-across-subjects design to evaluate whether a video-prompting intervention could effectively assist…

Mathematical fluency supports maintenance of mathematical skills (Shurr et al., 2019). Multiple interventions support fluency, including the use of games. However, limited research exists exploring games as a means of increasing student fluency in mathematics. In this single case design study, researchers examined the relation between four…

There is a significant need for easy-to-implement interventions in the early grades, especially in mathematics, as many children have difficulties in their first years of school with automated basic math facts recall and, therefore, fall behind. Automation of single-digit multiplication tasks represents an important developmental step, as it can…

A large number of students demonstrate difficulty acquiring and retaining math facts highlighting the need for early math intervention. This study used a single-case cumulative acquisition design to examine the differential effectiveness and efficiency of three drill interventions, incremental rehearsal (IR), incremental rehearsal with visual…

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…

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…

An adapted alternating treatments design with initial baseline and final best treatment phase was used to evaluate and compare the effects of two classwide interventions, detect--practice--repair (DPR), and self-mediated iPad instruction, on the multiplication math facts fluency in an inclusive third-grade classroom. Twelve students participated…

The longitudinal progress of 42 Grade 1 students who participated in a 10-20 week Extending Mathematical Understanding (EMU) intervention program was examined to evaluate the effectiveness of the program for enhancing and accelerating mathematics learning. Overall the students made accelerated progress during Grade 1 and their learning was…

The purpose of this study was to determine if a typical third-grade boy and fifth-grade girl and a boy with learning disabilities could benefit from the combined use of Direct Instruction (DI) flashcard and math racetrack procedures in an after-school program. The dependent variable was accuracy and fluency of saying basic multiplication facts. A…

Self-efficacy is the belief an individual has about his or her capabilities to successfully complete an activity. Self-efficacy stems from four sources: verbal persuasion, physiological states, past experiences, and vicarious experiences. Increases in self-efficacy in education are connected with an increase in academic achievement. The current…