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…

This purpose of this quasi-experimental, ex-post facto study was to examine the effect of SpringMath as a classwide intervention for students in grades kindergarten through second grade within one elementary school. In order to research the effects of SpringMath on the whole-number computational fluency of kindergarten through second grade…

Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…

This dissertation conducted two studies that examined two methods of instructional planning to effectively match students to a whole number computation intervention that would best meet their needs. Study 1 was a systematic synthesis of all studies that used brief experimental analysis (BEA) to determine an effective mathematics intervention for…

Current recommendations for school mathematics include teaching algebra as a K-12 content stranding beginning in the elementary-school grades. The focus of this study was on preservice elementary mathematics teachers' knowledge of algebra content in the intended curriculum for K-8 mathematics. In the Common Core State Standards for Mathematics…

Extensive research has documented students' difficulty understanding and applying the Empirical Law of Large Numbers, the statistical principle that larger random samples result in more precise estimation. However, existing interventions appear to have had limited success, perhaps because they merely demonstrate the Empirical Law of Large Numbers…

Research evidence suggests that early mathematics education received before kindergarten can positively influence later mathematics learning. Given these findings, there is a need for the development of interventions and strategies that can successfully target young children's mathematical deficiencies in number sense, and more specifically,…

The purpose of the present study was to understand how number writing in a class of low-income, pre-kindergarten children (N = 15) developed over the course of a school year, and to see what role that development played in their overall math readiness. The study used a mixed-methods approach. The target class was explicitly taught number writing…

Too many students are entering post-secondary education lacking foundational mathematics skills that are critical to performance on placement examinations. As a result, students are forced to take remedial courses that are often non-credit bearing and hinder their progress toward graduation. Research suggests that a lack of number sense may…

Despite the growing attention being paid to teaching mathematics for students with disabilities, the existing research tends to focus on mathematical skill acquisition, but not on skill maintenance. Maintenance of mathematical skills is especially important as mathematics has applications in daily life and is directly related to important life…

A longitudinal study of the effects of an early childhood mathematics intervention was conducted in 2 private elementary schools in a large city in central Texas. The study included 377 participants in prekindergarten through fifth grades. Explicit non-inverted number names were taught in English and Spanish to prekindergarten and kindergarten…

This study examined the extent to which the iPad app, Spatial Temporal Mathematics (ST Math), diminished college remedial mathematics students' natural number bias and deepened their fraction conceptual understanding. In this quasi-experimental study one class played the ST Math fraction games for 8 weeks, and they were compared to a control class…

Without providing effective, evidenced-based instruction during the early elementary years, children who come to school with low initial levels of mathematics and reading skills often continue to fall further behind their peers (Anderson & Nagy, 1992; Hart & Risley, 1995). However, educational interventions show promise for helping…

This study examines the effect of an intervention called Native Numbers on the development of number sense and quantitative skills in low-SES preschool children (ages 5 to 6) in Mexico City, using a randomized control trial (RCT). Native Numbers (NN) is a math curriculum built as an application for "iPads" that includes activities on…

The present mixed-methods quasi-experimental study (embedding a case study and a mixed factorial within-between ANOVA test), conducted in a private English school in Limassol, Cyprus, investigated how the use of the schematic learning aids (researcher-made color-coded flash-cards and grids) influence year-2 children's ability to read, write and…