Horizontal Golden Bead Frame: Carrying Mentally

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  • The Horizontal Bead Frame
  • Box of 4 series of gray cards on which 1-9 is written in black
  • Strips of white paper


The child sets up the multiplication problem on the frame.

x 46


  1. 3 x 6 = 18 move down 8 units, remember one ten in your head.
  2. 5 x 6 = 30...+1 = 31 move down 1 ten, remember 3 hundreds.
  3. 4 x 6 = 24...+3 = 27 hundreds-move down 7 hundreds, etc.
  4. Record the partial product and clear the frame before beginning multiplication by the tens.

Control Of Error

Points Of Interest

The work done with this frame is on a higher level of abstraction than the work with the hierarchic frames.

In both activities the tens, hundreds and thousands of the multiplier were reduced by a power of 10, while the multiplicand increased by a power of 10. The same work was done in two different ways.
At the end of this work the child should understand that when he starts multiplying with a new digit of the multiplier, he must move over one hierarchy. The partial products must start from the same hierarchy as the corresponding digit of the multiplier.


  • This activity forms the basis for an understanding of the function of multiplication with a multiplier of two or more digits, and a preparation for abstract solution.
  • The child doing this activity will be stimulated to invent his own problems.