Real math

So two of the older girls got in an argument right at the end of the school day. A insisted that 5 plus 5 was 10 and G was convinced that it wasn't. A was visibly upset when she turned to me, barely keeping back tears of discouragement because she KNEW she was right. Now I could have just agreed and told G that A was right (after all, I do know what 5+5 is), but that's not the Montessori way.

Instead I told them to each fetch 5 of some object and then we'd combine them and count to find the total. Man, they thought that was a great idea and almost tripped over each other in their hurry to go find something. After we added the objects together and G took it in stride that she had been wrong and that 5+5 actually was 10, what did they do next? Why, asked me to do some more problems!

So instead of ending the day with one child upset that she had been wrong, we ended the day with three children (somewhere or other I picked up an extra who was interested in joining us) happily doing real life math. I gave them some addition problems, some division and even subtraction scenarios.

The biggest upset? When I told them that they needed to get ready to go home.

Montessori Sunday: Number Rods

Introducing, the number rods. These pretty red and blue rods are the child's first formal introduction to numbers and counting. By the time most children get to this work they may already know how count by rote, maybe learned from songs, stories or just parental repetition. The number rods help them to associate the name of the number with an actual quantity.

The idea of quantity is reinforced by the fact that the sections of the rod are bound together. Rather than introducing the child to counting with say, shells, whose number name with fluctuate based on how many they grab, the number rod of 9 is always going to be 9 (barring the introduction of a power saw into the environment, but I think we can say that most likely will not happen). 

The child brings the rods to the mat and the Directress has him or her build them in order of length. This process should be relatively easy because the child has already had experience with building the red rods, which are identical (except for color). After arranging the number rods the teacher takes down the shortest rod and introduces it in the form of a three period lesson.

"This is the rod of 1." She demonstrates counting it, placing a finger on the rod while saying, "1." Next she brings down the rod of two and repeats the process, moving her finger from the red section to the blue when counting each new number. This is repeated for the rod of three and then the teacher begins to give fun little commands that have the child interact with the rods. Things like, "Tap the rod of one," "Give me the rod of 3," and so on. The child is introduced to all the rods this way, until they can identify them all through counting.

And this is just the initial presentation, there are lots of activities and extensions that help solidify the child's concept of quantity and their ability to count to ten. There are also small cards with the numbers 1 to 10 on them for the child to match to the rods when they can identify the written symbol for the numbers. 

One of the things that I think is coolest about the number rods though is that there is an actual activity with them is the introduction of the idea of addition and subtraction. Yes, that's right. In preschool we are not just teaching how to count, but introducing children to the operations of math. I know there's a lot of other toys/games/activities for young children that are supposed to teach counting and math, but most don't even attempt to claim to teach the operations, thinking young children aren't capable of it. However, thus far I've shown this to at least four different children and all of them have been fascinated by the idea of adding two numbers together and easily picked up on the idea of how to do it. Score one for well designed learning equipment!