As an international educator, I have learned different strategies for mathematics instruction from my Australian and New Zealander colleagues. With partitioning, students learn to think flexibly about a number and visualize what numbers are inside of a given number before introducing the operations of addition and subtraction. This is a strategy used to lead to understandings about place value; it builds number flexibility to implement a variety of addition and subtraction strategies with facility. I have created activities for students to use when learning to partition from 10 - 20 in groups of 2, 3 and by ones & tens; number of the day; and sheets for numbers above 20. These can be done in pairs or individually.
Example of partitioning: A student has 10 cubes, he breaks it into two groups to find (7,3).