Objects and relations in geometry correspond directly to objects and relations in algebra. The intersection of two lines corresponds to the set of ordered pairs that satisfies the corresponding equations. Students classify figures in terms of congruence and similarity and apply these relationships. Geometry instruction should deepen their understanding of shapes, their properties, and everyday applications. Give students the opportunity to work with three-dimensional figures so they can develop spatial skills that are basic to everyday life.
Visualization also includes plane figures.
Computer graphics software that allows students to create and manipulate shapes makes conjecturing and testing their attempts at two-dimensional visualization easier. Computer microworlds such as Logo turtle graphics provide opportunities for a great deal of student involvement. Of course there are many opportunities for visualization that do not use a computer. Exercises that require the student to draw a diagram provide opportunities for reading mathematics and problem translation.