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The need for experiences like these is well illustrated by an episode which took

place in a second grade classroom.

Two boys wanted to cut a piece of string in half. The
string happened to be a little less than a yard long,
though neither of the boys knew this.

Taking the string to a yardstick, one boy carefully
measured off eighteen inches. His friend insisted that
he knew a better way to do it and, grabbing the string,
folded it in half.

The first boy was not convinced. To prove his point he
matched the folded string against the yardstick and
announced triumphantly, "You see, it's only seventeen
inches, and it should be eighteen."'

Hoping to help this child understand that there was an
easier way of finding half than by using numbers, the
teacher proceeded to cut a sizeable piece off the string.
She then asked the boy if he could give his friend half
of what was left. The boy was stumped.

Finally, the teacher put the problem to him in a slightly
different way.

"Suppose you had a piece of bread, and you wanted to

give me half of it. What would you do?"

"I'd fold it in two and rip it down the middle," the boy

was quick to reply.

"Wouldn't that work with the string?"

The boy had to admit that it would, but he still in-
sisted that "a ruler would be better."

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Try recording all your body measurements one after another on a single piece of string, the way some Chinese tailors do. Tie a knot in the string at the end of each measurement. Children will probably need to try this several times before they catch on to the fact that they must take the smallest measurement first.

Working with random, fractional parts is a preliminary step to working with units such as inches, feet, and yards which are simply parts of a whole in one particular context. The more ways children learn to break down simple string-and-ribbon measurements into parts and into parts of parts, the better prepared they will be to understand the function of standard units of measure.

As the need to interpret and communicate
measurements arises, the usefulness of these
conventional standard "parts" will become
clear.

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Fingers, Hands, and Feet

Using ribbon and string is only one way of matching and measuring length. Another method which is time-honored, handy, and appealing to children calls for the use of parts of the body.

Long before a child enters school, he puts his body to work measuring in a number of ways. The act of reaching might well be the first of these. A baby reaches for a toy he sees, picks it up, gives it a toss, then reaches out to retrieve it.

A few years later, it seems to the child that practically everything he wants or needs is out of reach: the shelf with the cookie jar, the hook for his pajamas, the light switch in his room. He tries standing on tiptoe, stretching his arms. He makes himself taller by climbing on a box or chair.

By the time the child is of school age, he is expressing measurement by making comparisons in terms of himself. Asked how big something is, he may spring to his toes and fling an arm into the air to describe the height of his father of a skyscraper, or he may cup his hands together and make himself small to convey the littleness of his baby sister or his pet mouse.

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One way to start children thinking about parts of the body
as possible measuring units is to play a matching game.
Can you find something in the room that is as wide as
your hand?
.as long as your thumb?

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.as tall as

Often a child may try the age-old method
of measuring something between the index
fingers of his two hands. The only drawback
to this type of improvised ruler is that it
tends to grow or shrink unpredictably.
Measurements taken in this way prove un-
reliable. A child working on a piece of
carpentry for the playhouse may discover that
he has cut out an undersized door for an
oversized doorway. Bungles of this sort
teach children the value of taking measure-
ments in a more dependable manner.

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How many different ways can you use your body to measure?

One third grader attempted to measure the length of the
school corridor with his head. He soon gave up this
plan as impractical.

Two girls in another class went out into the schoolyard
and measured the shadow of the flagpole in "splits."
One found that it was four and a half splits long, the
other found that it was five. Soon the girls were
joined by two boys who suggested that they all measure
the shadow with their feet. At first the children
tried covering the shadow with footprints they had cut
out of newspaper. When they discovered that there were
not enough footprints to reach the end of the shadow,
they decided to walk the length of it instead. Each
child took a turn. One of the girls counted nineteen
feet, the other counted twenty-three. Both of the boys
counted seventeen.

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