Shu-Chen Yen's On-Line Montessori Albums




1. A quantity of colored bead bars (The initial presentation could be using one set of colored bead bars plus extra 6 bar to make the sum 51.) in a box.

2. One set of black and white beads. 1 through 5 beads are black and from 6 beads on white bead is added for each number. For instance, 7 has five black beads and two white beads and 9 has five black beads and four white beads.

3. A quantity of golden bead bars. ( The initial presentation has 5 golden beads.)

4. A notched cardboard or plastic counter. Mat or felt cloth to work on.

5. A tray


1. Take the materials to a table. Show the child how to build the black and white bead stair with the 9 at the top and the 1 at the bottom. This should be placed on the right side of the mat.

2. Place the golden beads side by side in orderly manner.


1. Lay out the colored bead bars in a random order in a zig-zag line from left to right.

2. Count the bead bars with counter moving from left to right. Count until ten beads have been counted. Leave the marker in place at the point where ten beads have been counted.

3. Take a ten bead and place it next to the colored bead bars.

4. Count the remaining beads in the bead bar, such as if a bar of 7 was counted first and bar of 5 second, thus 7 and 3 of the 5 would make 10. The remainder would be 2. Select the black bead of 2 from the black and white bead stair and place it at the end of the 10 bar. Remove the colored bead bars, 7 and 5 and return them in the box.

5. Starting from the black bead of 2, count the beads until 10 is reached. Place a 10 bar next to it, count the remainder, place the appropriate black and white bead bar and remove the colored bead bars.

6. Continue in this manner until all the colored bead bars are replaced by golden bead bars. (For the initial presentation, there will be five golden beads and a black head.)


1. Place all the colored bead bars into categories, such as all 9s together, all 8s together, etc. Take a ten bar and place it next to a 9 bar. Show the child that one more bead is needed to make them equal. Then place the 1 bead at the end of the 9.

2. Continue until all tens are made by combining colored bead bars.


Place the ten bars in rows, select colored bead bars to make tens. This may require a 5, 4, 1 bars or 6, 2, 2, bars. All combinations should be made until all 10s are matched and all bead bars are used.


The number of bead bars, the colored bead bars should be equal to the number of ten bars, less 1. If a larger black head is desired then make the colored bead bars equal to the 10 bars, less the amount of the black bead used.


1. Making the pattern with the colored bead bars.

2. Building the stair with the black and white beads.

3. Seeing the pattern of the black and white beads.

4. Counting with the marker.

5. Watching the golden snake grow.

6. Seeing the golden snake with the black head.

7. Noting the various steps it takes to perform this exercise.

8. The pattern of the verification.

9. The triangle formed by the black and white bead stair.


1. To aid in teaching the child the quantity of ten.

2. Preparation for multiplication and division.

3. Practice in addition.

4. Learning combinations of numbers that make 10.


4.5 to 6 years.

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