A series of activities are presented on worksheets marked off with lattice points (like a geoboard). Students are led to discover and apply Pick's Theorem for finding the area of a polygon whose vertices are lattice points. (JP)

A square lattice is used to generate classroom activities, such as counting the number of squares in a lattice of a given size. (MP)

Discussed are several possible methods of teaching a geometry lesson on angles and arcs. (CT)

This activity unit leads students to discover facts related to the maximum area enclosed by figures with given perimeters. Three worksheets are included. (MP)

The validity of the formula for the sum of the measures of the interior angles of polygon is explored using non-convex polygons. (SD)

Using a set of worksheets, students will discover and apply Euler's formula regarding connected planar graphs and play and analyze the game of Sprouts. One sheet leads to the discovery of Euler's formula; another concerns traversability of a graph; another gives an example and a game involving these ideas. (Author/KM)

This study was designed to investigate the effects of discovery and expository methods of presentation on the immediate acquisition and retention of geometry concepts by seventh graders. Four geometry concepts, "quadrilateral,""rhombus,""trapezoid," and "parallelogram," were presented in written lessons which used either an expository or a…

To discover a generalization from a pattern of data, students need to know how to analyze the data. This is a description of how high school students can find a formula to predict the number of spherical fruits in a piling by using differences. (JP)