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:
2 and 1/2
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 place 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 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 he will have more chance of
succeeding.
When he can manage 5 well, he 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
movements
are more controlled.
EXERCISE
1
The child
builds the tower as shown. He will make mistakes at first, but
will gradually
perfect his ability to judge size with practice. The
teacher must
not interfere. If he obviously has not understood the
lesson, then
the teacher will give him a new lesson another day before
he 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 errors when looking at the
tower he
has completed.
b) If the
tower is very badly built it will fall over.