Contributed
by Tula, with huge thanks for all her time and effort.
Whilst a young child is exploring the concepts of number and their
value, they will inevitably encounter the 'zero' and question
what it is exactly. "What is 'zero'?" they may ask.
"Nothing," you reply, "Nothing is zero!"
How does the Montessori Method approach this curious mathematical
moment? By playing 'The Zero Game'. (See 'Discovery
of the Child' Maria Montessori p.269-270)
The
Zero Game
The adult
asks a child to come towards her 'zero' times. The child unsure
of his task will inevitably go to her and be puzzled.
"But I asked you to come 'zero' times
Zero is nothing
you must stay quite still and do nothing!" she states.
"How can I come to you 'zero' times?" asks the still
puzzled child.
"You must not move. You must not come even once. 'Zero' means
no times at all!"
When the
child begins to understand, the adult asks him to blow 'zero kisses'.
This time the child may sit still. With humour in her voice the
adult asks again, imploring the child to blow 'zero kisses'. Still
the child blows nothing.
Now the
adult may play teasing games with the child; "Why are you
sitting still? I asked for zero kisses!" The child laughs
at the joke played upon the foolish adult: "I did! I did!
Zero means nothing. I sent you no kisses!"
"Thank you", the adult replies and smiles. "Ah,
I see, zero is nothing at all!"
In
my experience as a Montessori Directress, I feel it is important
not to make the child feel silly or dumb. I believe it was Montessori's
intention to make herself look the fool to the child in trying
to ask the child to do something irrational whilst at the same
time make him come to his own realisations about the 'nothingness'
of zero.
The
Spindle Box
This concept
was first developed alongside the Montessori Spindle Box, a wooden
box with ten compartments. This may be a complete unit with numbers
from 0-9 written on the back of the box, or divided into two separate
boxes, 0-4 and 5-9. The divided box makes the presentation simpler
as only the numbers 0-4 need be introduced initially. There are
45 wooden spindles with a separate basket or box to keep them
in.
Note: Montessori
suggested using all sorts of objects to count with at this stage,
"sticks, tiny cubes, counters". Acorns, small fir cones,
pencils etc are also ideal for this purpose.
For an
explanation of how to use the Spindle Box, please look at:
Shu-Chen
Jenny
Montessori
herself advocated not directly teaching zero in the Spindle Box.
She wrote: "We wait for the child to ask, pointing at the
compartment for zero: "And what should I put in there?"
We then answer: "Nothing, a 0 is a nothing" ('Discovery
of the Child' p.268)
In this
way the child learns to feel the zero, this 'nothingness', by
playing a game with the adult. It helps if other number games
are familiar to the child, especially those that count back towards
zero.
Suggestions
for number games to explore 'zero'
Five little
speckled frogs
Sat on a speckled log
Eating some most delicious bugs (Yum! Yum!)
One fell into the pool
Where it was nice & cool
Now there are four green speckled frogs. (Glub! Glub!)
Etc., etc
Ten fat sausages, sizzling in a pan
One went "Pop!" and another went "Bang!"
Eight fat sausages, sizzling in a pan
..
One went "Pop!" and another went "Bang!"
Six fat sausages, sizzling in a pan
..
One went "Pop!" and another went "Bang!"
Etc., etc
..
Ten green bottles, hanging on a wall (x2)
And if one green bottle should accidentally fall
There would be nine green bottles hanging on a wall.
Etc. etc
.
Five little ducks went out one day
Over the hills and far away.
Mother duck said "Quack, quack, quack, quack!"
But only four little ducks came back.
Etc., etc
Ten in
the bed and the little one said:
"Roll over! Roll over!"
So they all rolled over and one fell out
There were nine in the bed and the little one said:
"Roll over! Roll over!"
Etc., etc
.
Five currant
buns in a Bakers shop
Big and round with a cherry on the top.
Along came (Alfie) with a penny one day
.
He bought a currant bun and took it right away.
Four currant buns in a Bakers shop
.
Etc., etc
..