Describes the teaching of geodesic-dome concepts to students in grades 3-5 through the trial use of Energetic and Synergetic Geometry as well as the undertaking of a workshop designed to prepare elementary and secondary school teachers to conduct further experiments. (CC)

Describes two methods to resolve common difficulties in solving problems. The first is used when the solver becomes stuck with a problem and no idea seems to come to mind. The second is suitable when the solver is trapped in a loop and goes in circles around the problem. (JN)

Tape counters on recording equipment indicate the number of revolutions made by the take-up reel as magnetic tape is wound on it. Relating the number of minutes of play of the machine to counter values poses interesting problems. Five problems are presented as well as background information for their solution. (JN)

An Apple LOGO program is provided which results in the creation of a cat's face. Discusses program commands, indicating that, although they are never mentioned, various mathematical/geometrical concepts are involved. Indicates that LOGO provides an environment where one can play comfortably with these basic concepts. (JN)

A framework is presented for integrating use of a microcomputer into a statistics unit. Descriptions of some programs suitable for the Apple microcomputer and ideas for lessons are included. (MNS)

How graph paper has been used to illustrate the algorithm for division of fractions is presented. The combined use of graph paper and an overhead projector can make the presentation even more convincing. A review of whole number division is recommended prior to the lesson. (MP)

Instances where it might be considered more advisable to use words rather than symbolism in written mathematical expression are highlighted. The purpose of the material is to encourage teachers to consider more carefully the exact form in which mathematical expressions are written. The emphasis is on promoting clarity and accuracy. (MP)

Details of a Math Day held at an elementary school are presented. The day was developed because of a perceived need to provide pupils with experiences that would help them develop positive attitudes and view mathematics as more than just an isolated subject comprised of only computational skills. (MP)

The view promoted is calculus can be reduced to totally algebraic manipulation through use of elementary notions and facts of ring theory, which enable one to do calculus in the hyperreal number system. This approach holds promise of producing increased student conceptual sophistication and manipulative ability. (MP)

Logical reasoning ability and information processing capacity are investigated in terms of the effects of these cognitive capacities on children's ability to learn concepts of linear measurement. (MP)

Mathematics is a hierarchial build-up of concepts and the process of this systematic building up of concepts is of prime importance in the study of mathematics. Although discovery approaches are currently used, there are limitations. Ausubel's "meaningful learning" approach is suggested as an alternative to discovery learning in…

An activity that involves pattern finding, generalizing, and deductive thinking is detailed. The activity is thought to provide students with experience in these areas and to have potential for exploration at several levels. It is noted that, for small sums of money, it is not difficult to find all possible representations. (MP)

Suggestions are given for using sand play to teach science related vocabulary and concepts to preschool and primary age children by using dry sand, wet sand, different sizes and shapes of spoons and containers, sieves, and funnels. (DC)

Differing treatments of graphs in mathematics and science are discussed. A teaching sequence to develop contrasts between real and ideal data is suggested. (MP)