Variability in children's early-learning home environments points to the need to better understand specific mechanisms of early mathematical development. We used a sample of 66 parent-preschool child dyads to describe parent-reported mathematical activities in the home and observed parent-child mathematical activities in a semi-structured play…

Personal experiences promoting inclusive mathematics education for my own child have mostly been met with staunch resistance on the part of educators, and a resulting breakdown in collaborative efforts during individualized education program (IEP) meetings. However, I found that utilizing certain strategies and introducing innovative mathematics…

Getting initial instruction right is essential for improving student and teacher efficacy. Teachers are more likely to hit the mark when they work with colleagues to unpack the standards before instruction. By designing what the authors call a "proficiency scale," and aligning instructional strategies for the varied levels, teachers can…

The purpose of the dissertation is to investigate three particular aspects that may affect the transition between a third grade Montessori system and a fourth grade non-Montessori system, specifically within the context of teaching and learning mathematics. These aspects are 1) the change in pacing and structure of the classroom, 2) the removal of…

Approximately 60% of classroom students have insufficient math skills. Within a Multi-Tiered Systems of Support (MTSS) framework, teachers can implement core differentiation strategies targeted at improving math skills of an entire class of students. Differentiation programs are developed in order to target academic skills of groups of students…

There is an ongoing debate over the psychophysical functions that best fit human data from numerical estimation tasks. To test whether one psychophysical function could account for data across diverse tasks, we examined 40 kindergartners, 38 first graders, 40 second graders and 40 adults' estimates using two fully crossed 2 × 2 designs, crossing…

This study used a randomized controlled trial design to investigate the ROOTS curriculum, a 50-lesson kindergarten mathematics intervention. Ten ROOTS-eligible students per classroom (n = 60) were randomly assigned to one of three conditions: a ROOTS five-student group, a ROOTS two-student group, and a no-treatment control group. Two primary…

This dissertation targets young students' developing knowledge relevant to a fundamental practice in academic mathematics: the use of diagrams to represent idealized mathematical objects whose properties are established by definition (as in the use of drawn dots to represent zero-dimensional points and drawn lines to represent one-dimensional…

The notion of emergence has considerable currency in mathematics education. However, the notion tends to be used in a descriptive way rather than being theorized and developed as a phenomenon sui generis. The purpose of this article is to contribute to building a theory of "emergence." After providing an exemplifying description and…

This study aimed to investigate the extent to which WM measured in kindergarten predicts WM measured in second grade (stability of individual WM progress) and the extent to which WM measured at kindergarten predicts academic performance at second grade (N = 94). The results showed that WM skills significantly increase during the time span from…

This article identifies a self-sustaining system of deficit narratives about students of color as an entry point for studies of cognition to engage with the sociopolitical context of mathematical learning. Principles from sociopolitical perspectives and Critical Race Theory, and historical analyses of deficit thinking in education research,…

Moving among levels of abstraction is an important skill in mathematics and computer science, and students show similar difficulties when applying abstraction in each discipline. While computer science educators have examined ways to explicitly teach students how to consciously navigate levels of abstraction, these ideas have not been explored in…

This study explores the long-term effects of difficulties in reading and mathematical skills on educational achievement and successful graduation from secondary education as well as the role of special education in successful graduation. Study participants were all 16-year-old ninth graders from one Finnish city (N = 595; 302 females, 293 males)…

Students' explanations of their mathematical thinking and conclusions have become a greater part of the assessment landscape in recent years. With a sample of 71 fourth-grade students at risk for mathematics learning disabilities, we investigated the relation between student accuracy in comparing the magnitude of fractions and the quality of…

Math outcomes for students with disabilities, in particular students with emotional disturbance (ED), are bleak, warranting intervention strategies that have research to support their utility. The purpose of this meta-analysis was to examine the literature of math interventions used with students with ED to improve math outcome variables. Our…