Creativity, which is concerned with problem solving, is essential if we are to generate new solutions to the massive and complex problems in the unknown future. Our next generation needs an educational platform where they can be taught to possess creativity. Design education is such a way to foster students' creativity. Therefore, it is essential…

A visual proof of Ptolemy's theorem.

As society moves further into the 21st century and focuses on becoming more global, current and future learners will need to meet another set of requirements that are viewed as quality indicators and necessary dimensions for future success. These requirements are outlined by The National Education Association as the "Four Cs" of 21st…

The importance of so-called noncognitive skills--which include abilities and traits such as critical thinking skills, problem solving skills, social skills, persistence, creativity, and self-control--manifests itself in multiple ways throughout life. This policy brief, which focuses on a set of skills that can and should be taught in schools, is…

What is important for citizens to know and be able to do? The OECD Programme for International Student Assessment (PISA) seeks to answer that question through the most comprehensive and rigorous international assessment of student knowledge and skills. The PISA 2015 Assessment and Analytical Framework presents the conceptual foundations of the…

Creative leadership is basically about connecting people, and in a sense creative leadership is a form of servant leadership in which the leader's task is to connect different people, ideas, and ways of thinking. Leaders further develop the skills of their co-workers and co-create and co-sense problems of their organizations. Creative leadership…

Pythagoras' theorem in two and three dimensions appears in General Mathematics, Units 1-2, section 6 (Geometry and trigonometry: Shape and measurement) in the Victorian Certificate of Education Mathematics Study Design (Victorian Curriculum Assessment Authority, 2010). It also comes in Further Mathematics, Units 3-4 (Applications: Geometry and…

This article presents ideas behind science and technology challenges and shares experiences of "egg races." Different challenges were set, but there was always the need to transport an egg across some obstacle course without breaking it. It was so popular in the 1980s that the term "egg race" came to mean any kind of simple…

The simple question of how much paper is left on my toilet roll is studied from a mathematical modelling perspective. As is typical with applied mathematics, models of increasing complexity are introduced and solved. Solutions produced at each step are compared with the solution from the previous step. This process exposes students to the typical…

Permutations and combinations are used to solve certain kinds of counting problems, but many students have trouble distinguishing which of these concepts applies to a given problem. An "order heuristic" is usually used to distinguish the two, but this heuristic can cause confusion when problems do not explicitly mention order. This…

WebQuests have been a popular alternative for collaborative group work that utilizes internet resources, but studies have questioned how effective they are in challenging students to use higher order thinking processes that involve creative problem solving. This article explains how different levels of inquiry relate to categories of learning…

The purpose of this article is to promote the use of GIS and place-based education (PBE) in rural mathematics classrooms. The pedagogy of place is disappearing from rural communities because of declining enrollments, lack of support, and federal mandates to focus more on basic academic skills. However, PBE does not stand in opposition to…

An experiment published in this "Journal" has been revisited and it is found that the curve pattern of the anodic polarization curve for iron repeats itself successively when the potential scan is repeated. It is surprising that this observation has not been reported previously in the literature because it immediately brings into…

The new mission of schools should be to prepare children to work in jobs that do not exist, to solve problems that are not yet apparent, using technologies that are still to be invented. That means equipping them with the ability to apply and reapply knowledge in inventive ways. Yet today's schools, even schools with excellent "results," fail to…

In this paper, we propose and describe in some detail a framework for helping low achievers in mathematics that attends to the following areas: Mathematical content resources, Problem Solving disposition, Feelings towards the learning of mathematics, and Study habits.