Number Cards and Counters

MATERIAL:
- Numerals from 1 to 10 in black on white cards and 55 counters all the
same size and color.

PURPOSE:
- To arrange the numerals in their correct order while putting the proper
quantity with each. A minor purpose is to arrange the counters to give
a visual impression of odd and even quantities and later to teach the terms
"odd" and "even."
AGE:
- 4 and a half years and older
EXERCISE:
- The material is taken to the child's table. The teacher sits beside
the child and lays the cards on the table in mixed order. She asks the
child to find "1." When he has done so, she shows him to put
the "1" card on the extreme left hand side of the table. She
hands him the box of counters and asks him to put one of them under the
"1" card.
-
- She asks the child which numeral comes after "one." He should
be able to tell her "Two." She asks him to find the card. When
he has done this, she shows him how to put it next to the "1"
card and she asks him to put two counters below it.
-
- The exercise proceeds with the child finding each numeral in sequence,
and putting the correct number of counters under it. The teacher shows
him to arrange the counters in pairs, with the odd ones underneath.

- It is obvious that alternate numbers are odd and even but no comment
is made at this point. When the child understands the exercise, he is left
to work alone. The material is kept on a shelf for him to use whenever
he likes.
Control of Error
- The sum of the numbers 1 to 10 is 55. Therefore, there are exactly
the right number of counters for the exercise. Should a mistake be made,
there will be too many or too few at the end of the exercise, and the child
can correct his work.
Vocabulary
- When the child is doing the exercise easily, the teacher can explain
the terms, odd and even numbers. "These numbers, 1, and 3, end in
a single counter. We call them odd numbers. Can you find other odd numbers?"
The child will point to 5, 7, and 9. To reinforce this visually, the teacher
could ask the child to push up the odd number cards.
-
- "The number two ends in an even pair of counters, so we call it
an even number. Which other numbers end in an even pair?" The child
points to 4, 6, 8, and 10. "That's right. 2, 4, 6, 8, and 10 are even
numbers."
Note
- In the series of exercises for teaching the understanding of the quantities
and the numerals 1 to 10, we guide the child to sequence numbers correctly
by building the correct order of the numbers into the first two materials.
- 1. Number Rods - The quantities are fixed and the numerals are loose.
By building the rods into a stair, from smallest to largest, and placing
the number cards on the end segment of each rod, the child sees the numbers
in correct sequence.
- 2. Spindle Box - The quantities are loose and the numerals are fixed
in sequence along the top of the box.
- 3. Cards and Counters - Both numerals and quantities are loose. This
is the first time we have asked the child to sequence number without providing
a control for the sequencing.