There are more than one way to answer a math question

Today is the 2nd day of class and we were given problems to solve. We were given time to solve problems and then were asked what are the possible ways to solve a math problem. It was defiantly encouraging to know that there are many ways to solve a math problem, as an adult, thinking of different ways to solve a problem was possible. However, I wonder how we as teachers translate the idea of many solutions to a math problem to children?

I know that we as teacher's need to:

1. model

2. scaffold

3. provide opportunities and 

4. explain 

I am just wondering how does this method translate to when teaching the younger children, e.g. the 4years old? How do we explain to children that there may be many ways to solve a math problem when sometimes they are just fix on just one way? or is it important that children need to know that there are more than one way to solve a problem?