Shu-Chen Yen's On-Line Montessori Albums

MATH DEVELOPMENT ALBUM

11.2 LARGE BEAD FRAME


MATERIALS:

1. A wooden frame with horizontal wires, the top wire has 10 green beads representing units, the second wire has 10 blue beads for tens, third 10 read beads for hundreds, fourth 10 green beads for thousands, fifth 10 blue beads for ten thousands, sixth 10 red beads for hundred thousands, and the seventh has 10 green beads to represent millions.

2. Paper divided with colored lines to divide it into the seven categories the child may not know. Count the beads beginning with the units, go through each category.

PREPARATION:

Using the three period lesson introduce the child to the categories he may not know. Count the beads beginning with the units, go through each category.

PRESENTATION I:

1. Place the frame before the child and show him the seven numbers along the left side. Begin with all the beads on the left.

2. Count the unit beads, moving them to the right. As you do so, say, "one unit, two units" all the way to ten units.

3. After having counted ten units say, "Ten units make one ten".

4. Immediately as you say this move the 10 units back to the left and move one 10 bead to the right.

5. Continue counting tens - move 10 tens back to the left as you move 1 hundred to the right.

6. Continue in the same manner through the hundreds, thousands, ten thousands, hundred thousands, and millions.

PRESENTATION II:

1. Begin this exercise with all beads pushed over to the left side of the frame.

2. Use the paper with the unit line in green, the tens line in blue, the hundreds line in red, units of thousands line in green, units of ten thousands line in blue, hundred thousands line in red, and units of millions line in green.

3. Slide one unit over to the right.

4. Write the numeral 1 in the first box of units column on notation paper in green or lead pencil.

5. Continue to slide unit beads over to the right one at a time while naming them. Each time record them in the units column.

6. After having counted ten units say, "Ten units make one ten".

7. Immediately as you say this move the 10 units back to the left and move one ten bead to the right.

8. Record 1 ten by placing the digit 1 in the tens column.

9. Continue to count tens, recording each time you slide a ten bead to the right.

10. After having counted ten tens say, "10 tens make 1 hundred".

11. Immediately as you say this move the ten units back to the left and move one hundred bead to the right.

12. Record 1 hundred by placing the digit 1 in the hundreds column.

13. Continue in the same manner for the thousands, ten thousands, hundred thousands, and millions.

14. After reaching the millions column, tell the child the empty unit spaces are all zero and write "0" all the way down the unit column.

15. Do the same thing for the tens column, hundreds column, thousands column, ten thousands column, and hundred thousands column.

PRESENTATION III:

Child composes numbers on the bead frame and composes the number on their notation paper.

PRESENTATION IV:

Child writes the number on the notation paper and makes the number on the bead frame

PRESENTATION V:

Bring a problem card. Ask the child to build the first number on the bead frame and then ask the child to build the second addend with the remaining beads. Record the equation and answer.

PRESENTATION VI:

Same as presentation V of small bead frame but use 7 digit numbers rather than 4 digit numbers.

PRESENTATION VII:

Do problems involving static subtraction using 7 digit numbers (see presentation vii for small bead frame)

CONTROL OF ERROR:

1. The chills knowledge of numbers and symbols

2. Another child

3. The directress

4. The child's coordination when moving the beads

POINTS OF INTEREST:

1. The color of the beads

2. The seven wires with beads on them

3. The large numerals on the left side of the frame

4. Using the notation paper

5. Writing all the zeros down the columns on the notation paper

PURPOSE:

1. Development of the concept of numeration and notation

2. Growth in the understanding of place value concept of the decimal system

3. Preparation for computation of the abstract

4. Development of the understanding of exchange in addition

AGE:

5 and up.

VARIATIONS:

COMMENTS:


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