This article presents a summary of research, development, and applications of Creative Problem Solving (CPS) in educational settings and, more specifically, in gifted education. The CPS framework is widely known and applied as one important goal in contemporary gifted education, as well as in relation to initiatives for "teaching thinking" in the…

This study investigated the extent to which teaching the recommended methods for problem-solving presented in third-grade mathematics textbooks adhered to the National Council of Teachers of Mathematics Standards and instructional design criteria. Results indicated that there were more variations than similarities within and across textbooks in…

This review of recent literature, focusing on the integration of mathematics and reading, highlights three reading stances within mathematics classrooms. The first stance, reading problems, highlights the scope-and-sequence, transmission approach to learning mathematics, where the purpose of reading is to figure out how to solve an immediate…

This article addresses how to help students develop an aptitude for seeing relationships between elements and puzzling out new forms in doing so. Four different approaches are presented. Each illustrates a way that industrial designers work in considering the form of a product. A classroom activity is included.

Recent educational computer-based technologies have offered promising lines of research that promote social constructivist learning goals, develop skills required to operate in a knowledge-based economy (Roschelle et al. 2000), and enable more authentic science-like problem-solving. In our research programme, we have been interested in combining…

Recruiting professionals for schools' media resources centres needs to take into account the new dimensions of the information society. This article describes the radical reform of the very high-stakes and competitive national selection of those professionals in France. The new exam is now driven by a problem-solving approach and based on an…

Even for those passionate about both cricket and maths, each can have their dull moments. This article brings together the sometimes-dry binomial distribution with a problem of cricket matches where the result of the series has already been decided, and so are "dead". It is hoped that readers will become more interested in at least one…

This paper takes up the question of the way in which "the problem with educational research" is represented. It takes as its point of departure two recent views on "the problem"--one expressed by an educational journalist and one presented by the Australian Council of Deans of Education. It locates these within a larger frame…

How do groups of 3 people establish common ground in problem-solving interactions differently from groups of 2? Do they do this differently when they are supported by videoconferencing technologies? The laboratory experiment reported here manipulated group size and video mediation for participants carrying out a laboratory map task that allowed…

Mathematical language and chemical knowledge are complementary to each other and only productive use of the two enables using numbers to gain solutions rather than just answers. It is believed to be important in the understanding of science that students feel free to speak mathematics and only a few of them are willing to connect and use their…

The greatest benefit of including leap year in the calculation is not to increase precision, but to show students that a problem can be solved without such presumption. A birthday problem is analyzed showing that calculating a leap-year birthday probability is not a frivolous computation.

The research team of the Purdue University in the United States developed an algorithm that considers several different factors, in addition to cost, to help catalog distribution centers process their returns more efficiently. A case study to teach the students important concepts involved in developing a solution to the returns disposition problem…

Mathematical problems when solved with different approaches deepen the understanding of topics learned. It is reported that weighted average is commonly used in applications and the relationship between all the ratios involved in the problem emphasized could be learned from Farey sum of two fractions.

A dynamic program for geometry called Cabri Geometry II is used to examine properties of figures like triangles and make connections with other mathematical ideas like ellipse. The technology tip includes directions for creating such a problem with technology and suggestions for exploring it.

Mathematical reasoning is the cornerstone of mathematics learning and should be the focus of mathematics teaching. Two mathematical problems are presented, which describe students' responses, and highlight how students demonstrated mathematical reasoning in the midst of working on these problems.