This paper describes how a simple application of de Moivre's theorem may be used to not only find the roots of a quadratic equation with real or generally complex coefficients but also to pinpoint their location in the Argand plane. This approach is much simpler than the comprehensive analysis presented by Bardell (2012, 2014), but it does not…

Research suggests that inquiry-based strategies are the most effective modes of delivery in working with the gifted students. The characteristics of the gifted reveal a strong basis for understanding the power of question-asking as a part of differentiating curriculum. This article describes three different models of questioning--Guilford, Bloom,…

Background: Emerging work suggests that academic achievement may be influenced by the management of affect as well as through efficient information processing of task demands. In particular, mathematical anxiety has attracted recent attention because of its damaging psychological effects and potential associations with mathematical problem solving…

Previous research has pointed to the importance of transformational leadership in facilitating employees' creative outcomes. However, the mechanism by which transformational leadership cultivates employees' creative problem-solving capacity is not well understood. Drawing on theories of leadership, information processing and creativity,…

With the latest re-authorization of the Individuals with Disabilities Education Improvement Act (IDEA, 2004), states are allowed to use a Response to Intervention (RtI) framework to determine whether students qualify for special education services. Although RtI has promise and has been implemented well with documented results, further research is…

The much-lamented gap between theory and practice in education cannot be filled by practical knowledge alone or by explanatory knowledge alone. Principled practical knowledge (PPK) is a type of knowledge that has characteristics of both practical know-how and scientific theory. Like basic scientific theory, PPK meets standards of explanatory…

Purpose: This review explores the parallels between the characteristics of learning organizations and the characteristics of ethical organizations. Design/methodology/approach: A review of the literature was conducted to examine the characteristics of learning organizations and those that encourage and support ethical behavior. Findings: There are…

The aim of the paper is to provide a process model to evaluate mathematical problem solving by analogy, in order to better determine at which point and under what conditions a learner is prompted to use analogies. The model is a theoretical construct. Qualitative results of an empirical study are used to underline and illustrate core aspects of…

Mathematics is not just memorized facts, but rather it is understanding how to approach and solve problems, and problem-solving requires linguistic proficiency. Too often, English learners' (ELs) relatively low math performance is dismissed due to their supposed "limited" English proficiency. Taking this perspective, a constructivist…

Because researchers know so much more about the brain and development than they did when the 20th-century U.S. education system was designed, this knowledge can now be used to design a system in which all individuals are able to take advantage of high-quality opportunities for transformative learning and development. This playbook suggests a set…

This is the technical appendix for the report: "Social-Emotional Learning and Academic Growth: Insights from an Innovative Research-Practice Partnership." Contents of the appendix include: (1) Sample; (2) The Student Success Network (SSN) Survey; and (3) Analytic Framework and Estimates. [For the full report, see ED615830.]

This dissertation explored the roles schools can play in the successful outcomes of large carnivore or keystone reintroduction projects. Schools are more than centers for knowledge acquisition--they connect their community and disseminate information quickly to a wide audience. This study took place in California's Eastern Sierra Nevada, a…

Assimilating multiple interactive elements simultaneously in working memory to allow understanding to occur, while solving an equation, would impose a high cognitive load. "Element interactivity" arises from the interaction between elements within and across operational and relational lines. Moreover, operating with special features…

The purpose of this study is to investigate prospective teachers' perceived personal problem-solving competencies in relation to gender, major, place lived, and internal-external locus of control. The Personal Problem-Solving Inventory and Rotter's Internal-External Locus of Control Scale were used to collect data from freshman teacher candidates…

The present study examined the interplay among negative emotionality, responsive parenting and socio-cognitive developmental outcomes (i.e., communication, personal-social and problem-solving outcomes) in about 1620 Korean children using three waves of longitudinal data spanning the first 2 years of their life. Results from the Structural Equation…