- Addition and subtraction are connected by means of "part" and "whole." Addition is used to name the whole when the parts are known, and subtraction is used to name one part when the whole and the other part are known.
- Students need to learn these more broad definitions rather than "put together" or "take away."
- When teaching addition and subtraction, teach lesson using context/stories. Don't focus as much on the symbols involved.
- Multiplication and division are connected and relate back to addition and subtraction.
- For all math, as long as the students know the numbers in a problem (and their answer is a known number) they can answer the problems. Problems should not be "dumbed down."
- Models can be used to visualize math problems.
- There are properties in addition, subtraction, multiplication, and division that should be taught to help students remember how to do each operation.
Before reading, I had heard that we should teach addition and subtraction together and multiplication and division together, but I didn't fully understand why. This chapter explained how the operations are more similar than they are different and that teaching them together can actually help students learn more efficiently and effectively. The explanations and examples of different models you can use for teaching the operations were helpful and I will definitely use models in my class because I know children learn in different ways and some might need this visual example. Others might need an auditory or written example of the properties, so those will also be included in my classroom teaching.
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