Diverse activities using large blocks are described. By building and comparing configurations children can be led from concepts like long and high to concept of ratio. Games and activities to help build other concepts are also described. (SD)

A series of lessons in which the concept of symmetry is informally developed is described. Rotational and reflection symmetries are examined. Pictures and sample worksheets illustrate the article. (SD)

This study examined the effects of inquiry training on students' ability to think analytically and the relationships of that ability with achievement in geometry and algebra. Results indicated that inquiry-trained students were not more analytical in approaching mathematics than others. (SD)

The author discusses the relationships between art and mathematics throughout history. Many illustrations are included. (SD)

Presents an activity that illustrates the application of mathematics to modern navigation and utilizes the Global Positioning System (GPS). GPS is a constellation of 24 satellites that enables receivers to compute their position anywhere on the earth with great accuracy. (DDR)

Ray tracing is a method that allows the creation of photo-realistic images on a computer. This article describes a shareware ray tracing program called PovRay and includes some ideas on how PovRay can be used in teaching and in 3-D geometry, physics, and other high school and university subjects. (Author/AIM)

Argues that the organization of cognitive structures for technical domains can be visualized as a network of connected thinkable models. Describes a taxonomy of models that has been developed and discusses the issue of how representations relate to human modes of perception and action. Contains 25 references. (DDR)

Discusses strategies to help primary students understand geometric concepts. Highlights best examples, concept cards, defining shapes, discovery lessons, and expository lessons. Presents action research ideas. (JRH)

Describes an investigation of polygons and their properties in which students apply very basic understandings of geometric properties. (KHR)

Explores ways in which Information Communication Technology (ICT) can be used within the classroom environment to enhance pupils' learning and understanding of mathematics. Describes how to incorporate ICT into lessons investigating mathematical proof. (KHR)

Presents the view that deductive mathematical proof offers the purest form of how to distinguish right from wrong. Investigates students' understandings of proof and the proving process in mathematics. Contains 32 references. (DDR)

Discusses the Texas Instruments calculator the TI-92 and how it can be an effective tool in the mathematics classroom. Provides examples of combining the algebra capabilities of the calculator and Cabri-Geometry II with graphing, tables of values, statistics, programming, and a simple text editor to enhance mathematics instruction. (DDR)

Presents a teaching experience with high school students in geometry class using hand signals that reinforce meaning of geometric concepts. (KHR)

Presents some activities for both art and mathematics classrooms. Traces the history of geometric art and focuses on a way of drawing tiling using LOGO programming. Describes some of the work on tessellations by the mathematician Roger Penrose and the artist M.C. Escher. Provides websites for further information. (KHR)

Describes the history of the unsolved moving sofa problem, presents one possible solution, and gives several suggestions for how this problem can be used in the classroom. (Author/NB)