## Visualizing Elementary Examples

There are many different ways to represent numbers and representations can be used to focus student thinking on different concepts found within number sense.

“12 is the number that is 2 past 10.”

##### Show me 11 – 20: As above but ask student to show the given number of beads using only 2 pushes.3

Addition and subtraction have a total number (whole) compared to the parts. They could be equal parts (often utilizing skip counting) or unequal parts. Students develop flexibility with numbers when discussing the variety of parts that make up the whole amount.

Multiplication and division use equal groups and fair sharing. Students move to managing groups as single units.

Visualizing in this manner also connects to composing and decomposing numbers. The big ideas are rarely done in isolation of each other and when done in connection strengthen students’ number sense.

1Jo Boaler, L. Chen. 2016. Why Kids Should Use Their Fingers in Math Class. [online] Available at: <https://www.theatlantic.com/education/archive/2016/04/why-kids-should-use-their-fingers-in-math-class/478053/> [Accessed 19 August 2021].

2K-5 Math Teaching Resources. n.d. Rekenrek Activities. [online] Available at: <https://www.k-5mathteachingresources.com/Rekenrek.html> [Accessed 19 August 2021].