This article discusses the increasing use and importance of mathematics in geography. The need for geographers to acquire a greater facility with mathematics is stressed. For address of journal see SO 504 028. (Author/RM)

The author takes exception to Piaget and Inhelder's conclusion that a child's first conceptualization of space is topological. (JP)

Models for multidimensional scaling use metric spaces with additive difference metrics. Two important properties of additive difference metrics are decomposability and intradimensional subtractivity. A prediction was derived from these properties and tested experimentally. Eleven non-psychology students were used as subjects. Rectangles varying in…

The Minnesota School Mathematics and Science Teaching (MINNEMAST) Project is characterized by its emphasis on the coordination of mathematics and science in the elementary school curriculum. Units are planned to provide children with activities in which they learn various concepts from both subject areas. Each subject is used to support and…

The purpose was to develop a text in the topology of the plane for secondary school mathematics teachers and to evaluate the text in a regular course setting in terms of its effectiveness and appropriateness. The materials cover the concepts of metrics; neighborhoods; equivalent metrics; interior, boundary, and accumulation points; closure; open…

The research reported dealt with the ability of first, second, and third grade students to understand the topological concepts of solids, sheets, lines, networks, and of order and betweenness. The concepts were presented through the use of manipulative materials. The instruction was conducted by the regular teachers for a period of three weeks…

Efforts to create instructional materials which would be cognitively appealing to students demonstrating aptitude for figurally, verbally, or symbolically oriented materials are described. Students enrolled in preservice freshman level mathematics content courses for prospective elementary school teachers were given a battery of tests designed to…

This booklet contains suggestions for developing six of the twenty topics recommended for students in Secondary Forms III and IV in the schools of Victoria, Australia. These suggestions are intended for students for whom the standard course is unsuitable because of subject time allotments, ability levels, or vocational or educational needs. The…

This is a collection of 24 papers presented or prepared by participants of the Comprehensive School Mathematics Program (CSMP) International Conference in 1970 covering a wide range of topics in mathematics and geometry education. Conference recommendations are summarized, including the use of geometry to lead into other branches of mathematics…

Preschool children copied peg locations with standardized comparison pegboards aligned horizontally and diagonally and with three levels of pegboard complexity. Error patterns varied with type of alignment and display complexity. Results failed to support Bryant's hypothesis that mirror image confusions are no more frequent than other in-line…

A school-based experimental investigation concerned with contour maps is described. The results, together with those of some other related investigations, point to probable value of models, stereograms, anaglyphs, and other stereoscopic presentations in the teaching of three-dimensional subjects. (Author)

Discusses formation of chemical molecules via Mobius strip intermediates, and concludes that many special physics-chemical properties of the fully closed circular form (1) of polyoma DNA are explainable by this topological feature. (CC)