Quandaries and Queries
Who is asking: Teacher
twelve divided by three:
eight divided by two:
five divided by one:
zero divided by one:
Now comes the philosophical part:
one divided by zero:
It is good to 'make sense' out of the choices so that you don't have to rely on memory. It is even better if the kids can make sense out of it!
Consider the questions:
If we play around, we can find that:
This tells us what the first ? could be. So 0/1 = 0.
We have trouble finding anything which makes:
Play as you like, 0 N = 0, for all the numbers the kids (and you) can think of.
Well, later on, they will learn about more types of numbers, and more possibilities. They can keep looking and asking - are we there yet? After some years, they may find something to fill in there and 'make sense' out of the process. [There are ways, with infinity, and process of change - i.e. calculus - to develop some answers, in some situations. Different situations, different infinities, give different answers. It is just not grade 4 stuff!]