We consider Egyptian mathematics from a postmodern perspective, by which we mean suspending judgement as to strict correctness in order to appreciate the genuine mathematical insights which they did have in the context in which they were working. In particular we show that the skill which the Egyptians possessed of obtaining the general case from…

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.

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 Thailand, the Center for Research in Mathematics Education (CRME) has been implementing Japanese Lesson Study (LS) since 2002. An adaptive feature of this implementation was the incorporation of four phases of the Open Approach as a teaching approach within the three steps of the LS process. Four phases of this open approach are: 1) Posing…

Creative movement is an ideal way to help young children develop critical-thinking and problem-solving skills. Most young children are, by nature, extremely physical. They delight in exploring the world with their bodies and expressing their ideas and feelings through movement. During creative movement experiences, children learn to think before…

This paper describes a tutorial programme developed at the University of Western Australia (UWA) to enhance medical students' learning processes within problem-based learning contexts. The programme encourages students to use more effective learning approaches by scaffolding the development of effective problem-solving strategies, and by reducing…

The role of a teacher is different from that in traditional mathematics instruction when the implementation of a lesson is based on students' ideas. The author's experience teaching the same lesson (of the latter format) to two different classes of pre-service teachers in an elementary mathematics methods course is described. Since whole-class…

The close relationship between charged particles and electromagnetic fields has been well known since the 19th century, thanks to James Clerk Maxwell's brilliant unified theory of electricity and magnetism. Today, electromagnetism is recognized as an essential aspect of human activity and has consequently become a major component of senior…

Roughly one-fifth of America's public school students attend rural schools. Low mathematics achievement scores in these communities suggest that math instruction needs to focus on the skills and content necessary for twenty-first-century jobs in contexts that are meaningful to these populations. This article describes how one rural school worked…

Indiana University (IU) provides great support for the technology the community needs to teach, learn, and conduct research. Rather than limiting support by defining a rigid support matrix, IU has chosen instead to utilize knowledge management technology to provide self-service for repetitive information technology (IT) questions, and focus…

What we're thinking about behaviorally challenging students and what we're doing to them requires a fresh look. When schools believe that parental discipline explains a child's misbehavior, educators are less likely to consider different explanations for the misbehavior and the full range of interventions that could be implemented at school. And…

In their overview for the prekindergarten-grade 2 Standards, the National Council for Teachers of Mathematics (NCTM) documents the value of early mathematical environments. During these early years, young children are building beliefs about what mathematics is and learning about themselves as early mathematicians. What young children learn about…

The goal of this geometry project is to use Voronoi diagrams, a powerful modeling tool across disciplines, and the integration of technology to analyze spring rainfall from rain gauge data over a region. In their investigation, students use familiar equipment from their mathematical toolbox: triangles and other polygons, circumcenters and…

Cognitive readiness (CR) and performance for operational time-critical environments are continuing points of focus for military and academic communities. In response to this need, we designed an open source interactive CR assessment application as a highly adaptive and efficient open source testing administration and analysis tool. It is capable…