This report of a statewide Mathematics Advisory Committee outlines the kindergarten through grade eight mathematics curriculum in terms of nine "strands": Numbers and Operations, Geometry, Measurement, Applications of Mathematics, Statistics and Probability, Sets, Functions and Graphs, Logical Thinking, and Problem Solving. Broad goals…

Twenty second- and third-grade children were tested on their ability to make judgements of certain area and volume equivalences. The children were then presented a conservation-of-liquid task. Of the 17 children who gave correct conservation responses, only two had solved the area and volume problems. Thus, contrary to what is suggested by…

This nineteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 17. First, a time allotment for each of the chapters in Units 17 and 18 is given. Then, for each of the chapters in Unit 17, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers…

The general purposes of a model are discussed, then seven papers are presented which demonstrate several different facets of the problems associated with constructing and using models of mathematics learning. In the first paper, the task addressed concerns how to incorporate developmental psychology into perceptions of what is happening in the…

After a unit on Euclidean geometry which stresses both the development of intuition and the use of deductive methods, non-Euclidean concepts are introduced by having students read and consider science fiction stories. (SD)

A series of maps is presented for coloring with the fewest possible colors. (SD)

Several activities in which students use geometric shapes and their shadows to study geometric concepts are described. (SD)

By experimenting with measurement on regular and irregular surfaces, students can give an appreciation of the nature of the measurement process. (SD)

Using mirrors mounted on a plywood base to study reflections provides an introduction to the study of transformation. (SD)

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

This monthly column contains teaching suggestions on: using codes to convey information, flow proofs in geometry, and volleyball and probability. (MP)

A classroom activity is illustrated in which vectors are drawn in the first quadrant of a rectangular coordinate system forming a vector polygon which is then reflected about each axis. (MN)

An elementary knowledge of geometry is shown to be helpful in problem solving, especially in that the shortest distance between two points is a straight line. (MN)

The technique of organizing data in tables to solve counting problems in geometry is illustrated in the solution of five problems. (MN)

The author has selected a number of episodes that illustrate some of the successes and failures of humanity's attempt to find the area of the circle and presents them as problem studies. (MN)