Gifted students' often go unchallenged in the classroom, and this lack of tailored instruction can lead to decreased motivation, which, in turn, influences underachievement, which is a significant concern since these children, theoretically, should be our highest achievers. This 4-week (i.e., eight instructional days) semi-randomized,…

Grades 4 and 8 students had shown slow but steady improvement in scores on the National Assessment of Educational Progress (NAEP) mathematics assessment from 1990 until 2013, but performance since then has been lower despite the introduction of the Common Core State Standards for Mathematics (CCSSM) in the early 2010s. This study examined student…

A Title I elementary school in New York City faced a challenge in supporting students in Grade 3 to Grade 5 who did not meet state proficiency standards in mathematics. The student body of approximately 300 was 80% Black and Brown students, with 40% of students identified as English language learners or students with disabilities. The assistant…

A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…

Mathematics instruction can work to open or constrain children's opportunities to learn, and the busy, interactive nature of instruction makes it challenging for researchers to identify patterns in high-quality opportunities to learn. While researchers have documented how whole-group discussions and small-group work can contribute to such…

The implementation of high-stakes testing has radically altered mathematics instruction in elementary classrooms. A curriculum that is heavily focused on developing successful test takers has fostered a weakness in our students' ability to solve complex problems. The purpose of this record of study was to examine the impact of a problem-solving…

Behavior problems among third- and fourth-grade students have become an issue of concern among stakeholders in the education sector. The purpose of this qualitative exploratory case study was to explore teachers' perceptions of Second Step, a socioemotional curriculum with practices used to address behaviors with third and fourth graders. The…

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.…

A theoretical framework grounded in constructionism and pragmatism theories supported research on learning by doing. This framework underpinned the purpose of this qualitative case study to explore how K-8 STEM teachers facilitated projects utilizing innovative technologies to solve community-based problems. The problem was a lack of connection…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

Schools in Florida used the multitiered system of support response to intervention framework to help students achieve the state and national standards but, in the national report card, 61% of the fourth-graders assessed in mathematics failed to achieve proficiency. Research indicated that the students lacked mathematical word problem-solving…

Despite the need to possess adequate problem-solving skills (Grady, Watkins, & Montalvo, 2014), mathematics performance among students--especially in urban communities, remains stagnant (NCES, 2003; TIMMS, 2015; NAEP, 2019). Langlie (2008) held problem-solving skills introduced in elementary schools would prepare students for tremendous…

Despite the need to possess adequate problem-solving skills (Grady, Watkins, & Montalvo, 2014), mathematics performance among students -- especially in urban communities, remains stagnant (NCES, 2003; TIMMS, 2015; NAEP, 2019). Langlie (2008) held problem-solving skills introduced in elementary schools would prepare students for tremendous…

Despite the need to possess adequate problem-solving skills (Grady, Watkins, & Montalvo, 2014), mathematics performance among students--especially in urban communities, remains stagnant (NCES, 2003; TIMMS, 2015; NAEP, 2019). Langlie (2008) held problem-solving skills introduced in elementary schools would prepare students for tremendous…

This work is an exploration of upper elementary students' sense making around four conventional representations of function: equations with algebraic notation, Cartesian graphs, function tables, and natural language. The cornerstone to the empirical work is a task called the Function Puzzle, where students are given 16 cards representing four…