BACKGROUND:
Children are born with the ability
to see in three dimensions. From the first building blocks to their
first rattler, they touch 3 dimensional objects. However, as children
begin school, the world of pencil and paper in a two dimensional
world, tend to dominate their learning. The impact is clear, students
begin to lose that innate ability to visualize three dimensionally.
Children must learn early, how to describe
3 dimensional objects. They must possess a vocabulary of geometric
terms and relationships to accomplish this task. Geometry is a mathematical
representation of the real world. Although geometry is perfect, the
nature it represents is not. Sometimes it is difficult for children
to see the relationship between geometry and nature.
A twodimensional object is usually a representation
of a three dimensional object. Even a flat piece of paper has depth!
Common representations include:
A circle is a twodimensional sphere.
A square is a twodimensional cube.
A triangle is a
twodimensional pyramid.
PROCEDURE:
Scientists and mathematicians many
time express their ideas on paper as sketches. This activity helps
students to draw three dimensional objects.
 Show students a sphere, a cube, and a pyramid.
Discuss the differences and similarities between each. For example
a sphere has no sharp points or flat surfaces, both the cube and the pyramid
do. The cube has six sides; a pyramid can have four or five sides
depending on what type of pyramid you have.
 Illustrate how a circle, square, and
triangle can be made to look “three dimensional” on paper. Showing
the progressive steps in the drawing process of each object, helps
the students to follow along and understand.
 Allow the students to practice on
scratch paper or on the board. This may take a little time, but the
students will be drawing these object for years to come.
CIRCLE 
SPHERE 
SQUARE 
CUBE 
TRIANGLE 
PYRAMID 
