The screened Coulomb potential, or Yukawa potential, is used to illustrate the application of the single and linear variational methods. The trial variational functions are expressed in terms of Slater-type functions, for which the integrals needed to carry out the variational calculations are easily evaluated in closed form. The variational…

The purpose of this study is to determine the ethical dilemmas experiencing by the counsellors who work at different conditions and what they do to solve these dilemmas as well as the obstacles they have to deal with while resolving the dilemmas. This is a qualitative study in which multi-state pattern was used. For this research, 40 counsellors…

Problem-solving skills are imperative to a child's growth and success across multiple environments, including general and special education. Problem solving is comprised of: (a) attention to the critical aspects of a problem, (b) generation of solution(s) to solve the problem, (c) application of a solution(s) to the identified problem, and…

There is increasing interest in the use of mindfulness-based approaches to assist school personnel in navigating challenges inherent in their profession. Most research investigating the influence of mindfulness-based programs uses statistical approaches to understand program impact. The present study addressed a significant gap in existing…

Direct training procedures have been beneficial in increasing teachers' knowledge and skills for the use of recommended intervention for target students in their classrooms. However, direct training alone has not been successful in teachers' consistent and sustained use of the intervention for the target student and the generalized use…

Although ITSs are supposed to adapt to differences among learners, so far, little attention has been paid to how they might adapt to differences in how students learn from help. When students study with an Intelligent Tutoring System, they may receive multiple types of help, but may not comprehend and make use of this help in the same way. To…

Student teachers make errors in their practicum. Then, they learn and fix those errors. This is the standard arc within a successful practicum. Some students make errors that they do not fix and then make more errors that again remain unfixed. This downward spiral increases in pace until the classroom becomes chaos. These students at the…

In the present study, the authors focused on the use of electroencephalography (EEG) data about cognitive workload and sustained attention to predict math problem solving outcomes. EEG data were recorded as students solved a series of easy and difficult math problems. Sequences of attention and cognitive workload estimates derived from the EEG…

This dissertation introduces the construct of "worthwhileness" as an important aspect of students' "practical" epistemologies of science (Sandoval, 2005). Specifically, it examines how students conceptualize what makes a scientific research question worthwhile, through a close analysis of the criteria they use for…

This study examined an International Baccalaureate school that has been able to perform at a high level on state accountability measures while integrating 21st Century skills into the curriculum through a clearly defined organizational model. This study was designed to examine the manner and extent to which an International Baccalaureate School…

Many types of visual representations are used in math textbooks but not all of them contain mathematically relevant information. Little research directly addresses the effects of different types of representations on mathematics performance. Theories offer differing perspectives about how visual representations such as illustrations influence…

Gestures are profoundly integrated into our communication. This study focuses on the impact that gestures have in a mathematical setting, specifically in an undergraduate calculus workshop. There was strong correlation between diagramming and the two types of gestures identified in this study (i.e., dynamic and static gestures). Dynamic and static…

The purpose of this study is to assess students' conceptual learning of electricity and magnetism and examine how these conceptions, beliefs about physics, and quantitative problem-solving skills would change after peer instruction (PI). The Conceptual Survey of Electricity and Magnetism (CSEM), Colorado Learning Attitudes about Science Survey…

It has been well-documented that many students do not understand the meaning of the equal sign. Thus, researchers have called for instruction that specifically addresses misconceptions about the equal sign, and have indicated that such work must start at the elementary level. In response to these recommendations, some state curriculums require…

There are a variety of technologies that are increasingly being integrated into mathematics classrooms for their potential to increase student engagement, motivation, understanding, and achievement. YouTube can be an especially useful technology for students to create, share and interact with others, and learn more about mathematics. However, the…