Discusses the merits of cooperative learning in the classroom and the effects of implementing cooperative learning in a high school geometry classroom. (Author/NB)

Describes a two-person game based on the Pythagorean Theorem. Includes game board and question cards. (MKR)

Gives several proofs of the converse of the Pythagorean Theorem. (MKR)

I have had some sticky moments with my top set Y11 students. Three of them are quicker at spotting applications of the alternate segment theorem than I am, which I find unnerving. Two of them have discovered cross-multiplication for themselves and are threatening to show others, despite my philosophical objections. (Author)

In this paper, using the Lambert series and other known results, the authors consider the computation of a class of series involving the powers of generalized Fibonacci and Lucas numbers, and obtain their approximate values.

In this article quadrilaterals with concurrent maltitudes are characterized. A generalization of the maltitudes is given, and a larger family of quadrilaterals for which an analogous property of concurrency holds is determined and studied.

A simple way to represent hemihedral faces and to illustrate the relationship between the resulting left-handed and right-handed hemihedra is presented. The illustrations highlight that the chirality corresponds to the absence of reflective symmetry but not necessarily to the absence of a C2 axis of symmetry.

The properties of a dendrimer with hydrophobic and hydrophilic substituents on an orthogonal plane is synthesized and studied. The resulting polymer contains one of the substituents in its concave interior and the other at the convex surface and the design promotes micelle-like behavior in polar solvent and inverted micelle arrangement in…

The interesting construction of a conic from an ellipse given by Manuel Santos-Trigo is evaluated. The validity of the conclusion that the locus is a conic section, the nature of which is determined in a simple way by the location of the variable point R relative to its center point O and the major vertices of the ellipse are proved.

At first geometry was a practical subject to be used in the physical world. Then it took on another role as a system of thought and it became geometry for the mind. This issue's "scrapbook" consists mainly of interesting anecdotes related to geometry.

In this article, the author discusses one of George Polya's geometrical problems. The author offers Polya's solution to the problem, given in the book, "How to Solve It." The reason for its relevance today and alternative solutions to the problem together with an extension are discussed. (Contains 10 figures.)

In this article, the author states that architects, musicians and other thoughtful people have, since the time of Pythagoras, been fascinated by various harmonious proportions. One, is the visual harmony attributed to Euclid, called "the golden section". He explores this concept in geometries of one, two and three dimensions. He added,…

The author shows how instructors might successfully introduce students in principles and intermediate microeconomic theory classes to the topic of bundling (i.e., the selling of two or more goods as a package, rather than separately). It is surprising how much students can learn using only the tools of high school geometry. To be specific, one can…

This study examined the knowledge and strategies that young children used for comparing sizes of geometric figures. Sixty-nine children from the ages 3 to 6 years were asked to compare sizes of geometric figures and their placement and adjustment strategies were observed. The children were also presented with strategies for comparing sizes and…