Ten solid wooden cubes varying in size from 1 cubic centimeter to
1
cubic decimeter. These are pale pink or plain wood. A strong pink
must
not be used. If it is used, children are more aware of color than
of
size. If in plain, lightly varnished wood, a very good hard wood
must
be used.
PURPOSE:
1) Visual and muscular perception of dimension leading to an
abstract
understanding of size
2) Awareness of dimension leading to intelligent observation of
size in
the environment
3) Coordination of movement
4) Perfection of hand movements
5) Preparation for mathematics
a) There are 10 cubes because 10 is the basis of our number system
b) The largest cube would hold 1 liter, the smallest 1 cubic
centimeter
c) Preparation for cube root
Eight of the smallest make the second cube (23).
Twenty-seven of the smallest make the third cube (33).
Sixty-four of the smallest cube make the fourth cube (43),etc.
One thousand of the smallest cube make the tenth cube (103).
AGE:
21/2 to 5 years.
PRESENTATION:
The teacher asks the child to spread a dark green mat on the
floor on
which to work. She shows the child how to carry the cubes (two or
three
at a time) and place them at random on the mat. The teacher sits
beside
the child and builds a tower in order of size starting with the
largest
cube. Each cube is placed concentrically on the one before in one
movement. She pauses and looks at the cubes. The child sees that
a
deliberate choice is being made. The teacher must not, however,
re-
adjust a cube after it has been placed in position as a child may
think
this is part of the lesson and copy her movements. Therefore, the
teacher must have worked the tower until she can build it
perfectly
before giving the lesson.
The cubes are grasped from above with fingers and thumb on four
sides.
In this way, it is possible to judge size by touch as well as by
sight.
The child may need to use two hands to put the largest one in
position,
but the teacher can grasp them all correctly and the child can
grasp
all those he or she can in the same way.
Note:
With developmentally delayed children, every other
cube may be given at first. It does not matter which five the
child
works with. The difference between any two cubes in succession
will be
twice as great as when using all ten, and the child will have
more
chance of
succeeding. When the child can manage 5 well, he or she can have
the ten cubes.
The child with serious difficulty in motor control, can grade the
pieces in a row rather than building them into a tower until his
or her
movements are more controlled.
EXERCISE 1
The child builds the tower as shown. He or she will make mistakes
at
first, but
will gradually perfect the ability to judge size with practice.
The
teacher must not interfere. If the child obviously has not
understood
the
lesson, then the teacher will give him or her a new lesson
another day
before
he or she starts using the material. New lessons can also be
given to
help the
child improve in handling the material.
The tower must not be knocked down as the edges and corners are
soon
spoiled when this is done. The child should take it down block by
block.
EXERCISE 2
When the child does Exercise 1 easily and well, he can be shown
how to build the tower with one corner of each cube exactly above the
other all the way up, with the corner and two faces of the cube exactly
flush. There will be two ledges, 1 cm. wide, on the other two sides of
the tower. The smallest cube will fit on these ledges. The child is
shown to run the cube along each ledge in turn. This exercise
demonstrates the relationship in size between the cubes.
SELF-CORRECTION
Visual:
a) The child can usually see his or her errors when looking at
the
completed tower.
b) If the tower is very badly built it will fall over.
VOCABULARY
Once the child has worked with the
material for a while, and is discriminating the differences in
dimension, the "Three
Period Lesson" can be used to introduce the terminology as
appropriate.