Although proof has long been viewed as a cornerstone of mathematical activity, incorporating the mathematical practice of proving into classrooms is not a simple matter. In this dissertation I aim to advance research on proof by addressing this issue. In particular, I explore the role proof might play in promoting the learning of mathematics in…

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…

Quantitative skills are an important competency for undergraduate biology students and should be incorporated early and frequently in an undergraduate's career. Community colleges (CCs) are responsible for teaching introductory biology to a large proportion of biology and prehealth students, and quantitative skills are critical for their careers.…

This chapter addresses how child-, family-, and school-level characteristics are associated with Chinese children's academic skill development during their preschool years. Academic skills are defined in terms of young children's emergent competencies in academic domains including literacy, mathematics, and science. First, we review the relations…

At least half of states administer or are developing kindergarten entry assessments. In fall 2017 the Illinois State Board of Education began requiring teachers to report data on every child's skills at kindergarten entry using the Kindergarten Individual Development Survey. State and local stakeholders have asked for more information on the…

At least half of states administer or are developing kindergarten entry assessments. In fall 2017 the Illinois State Board of Education began requiring teachers to report data on every child's skills at kindergarten entry using the Kindergarten Individual Development Survey. State and local stakeholders have asked for more information on the…

This paper presents the effects of a cognitive acceleration program in mathematics classes on Tongan students' achievements, motivation and self-regulation. Cognitive Acceleration in Mathematics Education (CAME) is a program developed at King's College and implemented worldwide with the aim of improving students' thinking skills, mathematics…

Students in a fully online learning environment have limited opportunities to talk about math problem solving. While discourse is an effective pedagogical model, less is known about how it translates to online math learning. We analyzed online platform data from two fully online virtual elementary schools in the United States to address the…

Although teacher quality is usually signalled to be the most relevant school-level factor impacting students' learning, little is known about the relevance of teacher effects explaining educational inequality. By using a value-added model for a cohort of 10th graders, in this work we examine the socioeconomic gap in teacher effects across Chilean…

The importance of the STEM (Science, Technology, Engineering and Mathematics) professions to America's ability to advance its quality of life have long been a matter of discussion on a national level. The rewards of study in these areas are as evident to those who teach it, as they are, often, difficult for students to appreciate. This article…

Background: The purpose of this study was to measure the impact of interactive technology in the form of mathematical applications (apps) delivered using iPads on kindergarten children's learning of number sense in a play-based learning environment. Secondly, factors influencing the use of interactive technology in a play-based environment were…

Student explanations of their mathematical thinking and conclusions have become a greater part of the assessment landscape in recent years. With a sample of 71 4th-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 students'…

Technology is now being utilized in schools in an effort to address the lack of engagement most students have experienced in mathematics when learning foundational skills at the elementary school level. While there are a number of studies that have described teacher perceptions of engagement through the use of technology during the school day,…

The increasing numbers of ELL and bilingual students in high schools, their high dropout rate, their low performance on standardized tests, and their low representation in STEM and gifted programs make urgent the need to focus on productive and effective instructional techniques to teach math to ELL/bilingual students in ways that motivate them to…

This study uses information about in-game strategy use, identified through cluster analysis of actions in an educational video game, to make data-driven modifications to the game in order to reduce construct-irrelevant behavior. The examination of student strategies identified through cluster analysis indicated that (a) it was common for students…