This single-case study assessed the effectiveness of a mnemonic pegword strategy designed to enhance the multiplication fact fluency of three 6th-grade students who demonstrated persistent learning difficulties in mathematics. A nonconcurrent multiple baseline across subjects design was utilized, incorporating 3-5 baseline sessions followed by…

This study examined a 6-week intervention in which fourth grade students either played fluency games or used pictorial flashcards to develop fluency with their basic multiplication facts. Students who played fluency games showed more growth than the pictorial flashcards, but an analysis of variance showed that there was no statistically…

Incremental rehearsal (IR) has consistently been shown to improve students' math fact retention and fluency (Maki et al., Journal of Behavioral Education 30:534-558, 2021). However, less is known about how intervention modifications may support longer-term skill maintenance. The purpose of this study was to compare traditional IR with a modified…

This paper builds on our previous research and investigates how students' fractional competence and reasoning can provide clear evidence of non-symbolic algebraic thinking and its progressive transition towards fully generalised algebraic thinking. In a large-scale study, 470 primary students completed a written paper and pencil test. This…

Mathematical coherence is a goal within the Common Core State Standards for Mathematics. One aspect of this coherence is how student mathematical thinking is developed across concepts. Unfortunately, mathematics is often taught as isolated ideas across grades. The multiplicative field is an area of study that needs to be examined as a space to…

Multiplication fluency math interventions are utilized in elementary schools, but a dearth in scholarship exists on the effects of these interventions on fifth grade math students' performance and final grades. This scholarship gap may have an adverse effect on informing administrators and educators on best practices in helping fifth grade math…

This research study sought to identify a solution for building fact fluency for middle school aged students identified with LD. After analyzing a 1st-12th grade independent school for students with LD's math curriculum, it was noted that basic fact fluency is not taught after grade five. This has shown to be problematic for students who enroll in…

Understanding increased achievement as a dynamic relationship between student engagement and mathematical understanding, we designed an intervention to address both factors. Our intervention was the instructional routine number strings, led by an undergraduate tutor. In this paper, we provide a case study of the development of a fourth-grade…

Digital formative assessment tools have been identified as a promising support for mathematics teachers' practices of monitoring and enhancing students' understanding. However, more research is required to align these support affordances better with teachers' practices. In a qualitative expert-novice comparison, we investigated how expert and…

How can students achieve an understanding of multiplication that allows them to go beyond recall to explain their thinking? Author and mathematics education professor Juli Dixon introduces a program that teachers can seamlessly integrate into existing mathematics instruction. Learn six tactics to help you shift from an anxiety-producing,…

When teaching the multiplicative domain in New Zealand primary schools, teachers tend to spend a greater proportion of time on the meaning and processes of multiplication, to the detriment of a specific focus on understanding the concept of division. When division is taught, it tends to be by reversing the context and turning the division…

The array is a powerful tool that builds students' understanding in multiplication. Students' interactions with the array changes through the course of an instructional sequence, which can be viewed as a process of "reification." In this paper, I report the findings of a research study conducted with 45 Year 5 students in Sydney. The…

Understanding the concept of area requires an understanding of the relationship between geometry and multiplication. The multiplicative reasoning required to find the areas of regular figures is used in many courses in elementary mathematical education. This paper explores various methods in which multiplicative reasoning is incorporated into the…

In the body of knowledge in mathematics education research, fractions are one of the researchers' concerns. The reason is because fractions are very difficult for students to understand. This study explores elementary school students' knowledge and obstacles in dealing with the multiplication of fractions. This study employs descriptive…

Math facts are foundational for later math skill development, but many students demonstrate difficulties with math facts in early schooling. Drill-based interventions have been shown to effectively target foundational academic skills; however, there is limited research examining drill-based interventions for teaching math facts compared to basic…