We describe a method to extract roots of a reducible quintic over the real field, which makes use of a simple division. A procedure to synthesize such quintics is given and a numerical example is solved to extract the roots of quintic with the proposed method.

Research with adults over the last 20 years indicates that people who see themselves as less efficient problem-solvers use more maladaptive coping strategies. This study of two independent data sets totalling almost 2000 adolescents examined this possibility by correlating adolescents' self-perceived efficacy at problem-solving with their usage of…

The sharing of teaching-related knowledge may help teachers solve a variety of problems that they face, and the appropriate use of online knowledge-sharing activities is expected to assist teachers' knowledge-sharing. This study proposed an online knowledge-sharing discussion activity, integrated with a problem-solving strategy for teachers.…

Previous research shows that directed actions can unconsciously influence higher-order cognitive processing, helping learners to retain knowledge and guiding problem solvers to useful insights (e.g. Cook, S. W., Mitchell, Z., & Goldin-Meadow, S. (2008). Gesturing makes learning last. "Cognition," 106, 1047-1058; Thomas, L. E., & Lleras, A. (2007).…

There is growing recognition of the role teaching and learning experiences in technology education can contribute to Education for Sustainable Development. It appears, however, that in the Technology Education classroom little or no change has been achieved to the practice of designing and problem solving strategies oriented towards sustainable…

The current study investigated developmental trajectories of teacher-reported aggressive behavior and whether these trajectories are associated with social-cognitive development (i.e., aggressive problem-solving) across the first three elementary grades in a large sample from Switzerland (N = 1,146). Semiparametric group-based analyses were…

Problem-based learning and technology support for students in higher education investigates the new perspectives of education in connection with the change of life paradigm. The present research seeks to find out what study methods and technology support can be used for developing students' creative experience in the context of education for…

Introductory business statistics students often receive little guidance on how to apply the methods they learn to further business objectives they may one day face. And those students may fail to see the continuity among the topics taught in an introductory course if they learn those methods outside a context that provides a unifying framework.…

The Lithuanian Informatics Olympiad is a problem solving contest for high school students. The work of each contestant is evaluated in terms of several criteria, where each criterion is measured according to its own scale (but the same scale for each contestant). Several jury members are involved in the evaluation. This paper analyses the problem…

In this book, award-winning educator Cathie West teaches readers how to confidently prepare for and respond to the challenges that come with being a school leader. Derived from professional experience and extensive research, the strategies can be put to work exactly as described or adapted to fit the unique situations that educators face in their…

As noted by researchers (Funk, Hagen, & Schimming, 1999; Squire, 2006; Williams, 2003), many youth today spend more time playing in digital worlds than reading, or watching TV or films. Though many people, parents and teachers, still take video games as mere entertainment, "gaming culture" (Sanford & Madill, 2007) and "game…

This dissertation is a qualitative study of the benefits of a student-initiated apartment theme-housing program at a small private university in the southern United States. This study used in-depth interviews to determine what benefits existed from participation in the theme-housing program, and to determine if the program was beneficial to…

"In the three decades since the 1980 publication of An Agenda for Action, the National Council of Teachers of Mathematics (NCTM) has consistently advocated a coherent prekindergarten through grade 12 mathematics curriculum focused on mathematical problem solving" (NCTM, 2009, p. xi). Despite a call for secondary mathematics students to…

The purpose of this research study was to explore the process of learning and development of problem solving skills in radiologic technologists. The researcher sought to understand the nature of difficult problems encountered in clinical practice, to identify specific learning practices leading to the development of professional expertise, and to…

This classroom guide is intended to inspire and expand teachers' thinking about effective assessment in project-based learning (PBL). The tips listed in this guide are organized to follow the arc of a project. First comes planning, then the launch into active learning, and then a culminating presentation. Reflection is the final stage, and it's…