Twenty teacher-made multiple choice items in mathematics are presented. (MM)

How geometry can play an important role in the teaching and learning of mathematics is discussed. The past roles of geometry in the Australian curriculum, possible approaches to teaching geometry, and the role of geometry today are each discussed, with some suggestions for teaching brighter students. (MNS)

Discussed is the use of the book Flatland, written by Edwin Abbott, as a novel assigned for reading in secondary school geometry. The assignment is largely designed to reverse the low student interest in geometry. It is noted that overall the book was well received by students. (MP)

The effects that locus of control has upon mathematics achievement were analyzed using inductive and deductive methods of instruction. The analysis revealed a significant interaction for the subtest of items testing lower-level understanding. (Author/PN)

Problems involving multicolored cubes are discussed with examples of Instant Insanity and Rubik's Cube cited. Sections cover defining chameleonic cubes, producing such a cube, and extending understanding to multidimensional cubes. One theorem proved is that for each positive integer, every cube of that size is chameleonic. (MP)

Many students appear to enjoy mysteries at the same level that they hate proofs. It is felt that the solutions of the two can be so alike that their diagrammatic forms will coincide. One geometry and three mystery problems involving logic for solution are presented. (MP)

In this study with four sections of preservice teachers, both spatial visualization and cognitive development correlated significantly with achievement. However, in an analysis of variance, only cognitive development was significant, and no interaction was found. Spatial visualization was greater at the end of the geometry course than at the…

Describes techniques intended to provide the teacher (or student) with insights to the solution of the problems of constructibility of squares of area c and determination of the numbers of squares, and a method for the construction of constructible integers of area c. (DS)

A discussion of the reasons for the new design of international standard typing paper (AY) with dimensions of 210 mm by 297 mm leads to a discussion of the ratio of the sides and geometric concepts involving similar rectangles. (MP)

The nature and contents of a school's mathematics exhibition is discussed. It is presented to show what was done and to serve as a rough guide for others. The program was viewed as a very successful venture. (MP)

An approach to teaching geometry is promoted that allows students to decide for themselves what they could prove from given information. Such an approach allows pupil involvement in the personal process of discovering mathematical ideas and formulating problems. It is noted these methods will not work for all. (MP)

Teachers are encouraged to have pupils examine the symmetry of crystals when instruction is given on three-dimensional geometry and polyhedra. Crystals are noted to provide students with three-dimensional applications of transformational geometry, and the pupils also learn mineral identification. Suppliers of mineral models and specimens are…

The construction of a pentagon is divided into three problems, designed to enhance the traditional high school geometry class. The material is seen to serve as a potential springboard for many other activities. It is felt most students could not realistically be expected to solve the third problem by themselves. (MP)

The unmarked protractor appears to have been ignored in considerations of construction tools other than the standard straightedge and compass. Some geometric problems are presented which are designed to be done using only the unmarked protractor. They are thought to provide challenges to better students. (MP)

Ways different subsets of a large set of geometric shapes can be applied to the development of concepts and skills appropriate for children from preschool through the primary grades are presented. It is suggested teachers consider their curriculum and textbook while selecting specific activities to use. (MP)