The plans for a field test of teaching tenth grade plane geometry through transformations is described. Text and homework materials have been written, and teachers have been trained. Eight intact classes are now being taught utilizing the materials. Data to be collected will include: (1) teacher descriptions of the course via questionnaire; (2)…

This is the second volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…

This is the third volume of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items included were not intended to be official or comprehensive but rather to be used as an aid to teachers in constructing curricula and in making classroom goals…

This is volume five of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items are not intended to be official or comprehensive, but to be an aid to teachers in constructing curricula and in making classroom goals clear and precise. The document…

This fifteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 13. A time allotment for each of the chapters in Units 13 and 14 is suggested. Then, for each of the chapters in Unit 13, a guide for the selection of problems is provided, the goals for that chapter are discussed, the mathematics is explained,…

This sixteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 14. For each of the chapters in Unit 14, a guide to the selection of problems is provided, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, the answers to exercises are listed, and…

Results of operations on the Pythagorean formula are interpreted pictorially to yield interesting art forms. (MP)

A nine-point plane coordinated by the field of integers modulo three is examined using motion geometry. The conceptual advantages of teaching this geometry are emphasized. (MP)

Discusses some theorems and properties of figures produced when circles are tangent to one another. (GA)

The development of square units for area and cube units for volume is discussed with emphasis that switching focus from one physical property to another is involved as opposed to simply multiplying units. (MN)

A classroom activity is described where students divided circular regions into equal sections and reassembled them to determine the formula for the area of a circle. Using an odd number of sections (Instead of an even number) changes the shape of the reassembled pieces but still gives rise to the same formula. (MN)

A combination of trigonometry and algebra is used to focus on the concept of congruent triangles. (JT)

Three different geometric constructions of the parabola are described.

A general historical background for the development of some common formulas concerning length, area, and volume is given through a discussion of various written records. (MN)

Designs and arrangements of pentominoes are examined. (SD)