Understanding how young learners come to construct viable mathematical arguments about general claims is a critical objective in early algebra research. The qualitative study reported here characterizes empirically developed progressions in Grades K-1 students' thinking about parity arguments for sums of evens and odds, as well as underlying…

This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

Learning mathematics involves abstract thinking and the use of symbols. To be successful in a mathematics classroom, students must master what symbols mean and how they work. Much prior work has focused on the nature of the external representations used in mathematics instruction, including manipulatives and symbolic representations. In this work,…

We discuss an original study and two replications conducted over 18 years examining the impact of Teacher Study Group (TSG) in Vocabulary, a professional development (PD) approach for improving pedagogy and student learning. Study 1 focused on the design and development of the PD and included a small-scale randomized controlled trial to assess the…

The purpose of this qualitative, phenomenological study was to understand early childhood teachers' perceptions surrounding the topic of childhood scribbles as they relate to emergent literacy. Sociocultural theory provided a foundation for this research because of its focus on relationships between children, other children, and teachers to foster…

For schools implementing Response-to-Intervention, it is important to understand how to efficiently intensify interventions. Treatment intensity, or intervention design, is a critical yet overlooked and understudied aspect in math. More frequent dosage results in greater student gains. However, questions remain regarding how teaching episodes…

The present study examined a six-component theoretical model of word reading acquisition in 449 Spanish-speaking children from low socioeconomic backgrounds. Measures of phonological awareness (PA), rapid automatized naming (RAN), vocabulary, letter name-sound knowledge, and parent education were obtained at the beginning of kindergarten and a…

This dissertation investigates how embodied learning within a Mixed Reality (MR) environment supports young children's science learning, focusing on a honeybee system. To do so, I designed three types of activities within an MR environment to enable young children to assume different perspectives as they create embodied models of honeybees as…

Teacher-student relationships have long been identified as an important factor in the success of a student, and in the investment of the teacher. Extensive research has been conducted on the perception and outcomes of teacher student relationships from the perspective of the teacher and that of the students. However, research on the outcomes,…