The present study explores the psychometric properties of Prime Time's Youth Engagement Survey (PT-YES) and the relationships among the survey items. Prime Time Palm Beach County, Inc. developed PT-YES, which contains 30 Likert scale questions designed to measure youth engagement during out-of-school time (OST) activities with community partners.…

Halmos (1980) once described problems and their solutions as "the heart of mathematics". Following this line of thinking, one might naturally ask: "What, then, is the heart of problems?" In this work, I attempt to answer this question using techniques from statistics, information visualization, and machine learning. I begin the…

Mathematics education currently emphasizes engaging students in mathematical modeling to understand problems of everyday life and society (Council of Chief State School Officers (CCSSO), 2010; English & Sriraman, 2010; Lesh & Zawojewski, 2007). The Common Core State Standards for mathematics also stress that high school students should…

Rapid advancements in technology, global competitiveness, and an increasing demand for 21st-century skills, such as problem-solving, underscore the pivotal role teachers play to prepare our youth for an era of exponential change. Those at the forefront of education are challenged to equip students with skills and strategies necessary to think…

Problem-based learning (PBL) is an instructional approach that formed in medical school and holds students responsible for their learning as they solve a hypothetical real-world problem. Research on this instructional approach in K-12 settings is emerging, with most of the existing literature utilizing high school students and science. Few studies…

Investigating students' perceptions of their classroom environment is one of the ways researchers and educators can effectively determine what factors may benefit students' learning. Student Perceptions of Classroom Quality (SPOCQ; Gentry & Owen, 2004) was used with a group of Chinese gifted and general secondary students in the study. SPOCQ…

This study compared the creative outcomes in student work resulting from two pedagogical approaches to creative problem solving activities. A secondary goal was to validate the Consensual Assessment Technique (CAT) as a means of assessing creativity. Linear models for problem solving and design processes serve as the current paradigm in classroom…

The purpose of this dissertation was to examine metacognition among academically talented middle and high school mathematics students from both educational psychology and mathematics education perspectives. A synthesis of the literatures and three studies employing quantitative, qualitative, and mixed methodologies were used to address three…