Suggestions for what and how to teach topological ideas are presented. (DT)

The origin and evolution of the four-color problem are traced and the proof of the problem is outlined. (DT)

Directed graph theory is used to find the number of ways of building a rectangular parallelepiped from six rectangular boards using simple overlap joints. (MM)

A twenty-week course was designed around investigating many properties of the torus. Topology, differential geometry, and topics from both real and complex analysis were included. (SD)

Definitions and examples are given for the concepts of neighborhood, exterior, interior, and boundary points, closed and open regions, and boundedness of point sets. (DT)

Topics discussed include: reasons for strategies; the use of a hierarchy of spaces from topological to Euclidean in teaching; structural strategies; pedagogical strategies; and mathematical strategies. (MP)

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…