Dynamic Addition

Our dynamic addition starts with a brief discussion of what makes a 10 using a unit (1’s), 100 using 10’s and a 1000 using 100’s.  This is a visual presentation of smaller units that we can group together to form a bigger units.  From here, I told Mavi that whenever he encounters this when he plays Stamp Game, all he needed to do was to “substitute” the group with a bigger value. 

 

 

The concept of dynamic addition in Montessori is the same whether you use golden beads, stamp game or bead frame.  Here’s how we do it:

• [Top left photo] Mavi would take out a strip of paper with a written equation and copies it in our booklet.  [Top left photo]
• [Top right photo] He would layout all the stamps according to the equation.  Then perform the addition by combining the two sets. See our Static Addition for this.
• [Lower left photo]  Count the stamps starting from the unit’s place value. He counted 13 units, grouped the 10 units (green) and replaced it with a 10 (blue).  As you can see, he was confused at first he put the 10 (blue) in the units area.  This I emphasized that he has to place it on the correct area in the place value mat.
• [Top right photo]  He recorded the sum after he worked on the tens and hundreds, applying the same concept of regrouping.

Note:  Mavi has memorized a lot of number pair in addition.  Most of the time he doesn’t use the stamps or beads, he automatically do the addition work.  Sometimes he would start on the thousands going down to the units. I have to explain that he always need to start from the smallest unit.  This is because he will produce an incorrect sum once the equation is dynamic.  That is the number changes (addends) because of the regrouping.  And he understood this somehow when finished a few equation strips.

Well, that’s all for dynamic addition for now.  This is just an introductory to my 6 years old.  We’ll practice more of this next year.