Everyone uses strategies to figure things out in math, but not all strategies are created equal. Students should be exposed to multiple strategies so they can apply efficient ones when needed, or think of more than one way to solve. Number Talks are a great way to uncover student strategies, and allow opportunities for students to learn new strategies from each other. Having a variety of ways to conceptualize numbers and operations creates flexible reasoining and fluency.
An essential understanding of Math: Numbers can be taken apart and put back together in a variety of ways
Counting
N1.1,3 Counting N1.13 Counting N2.1 Counting N3.1 Counting NK.1 Counting
Representing Numbers
N1.4 Representing N2.1 Representing N3.1 Representing NK.4 Representing
Addition Strategies
https://www.maine.gov/doe/pl/math/addition
addition progression N2.2 addition problem structure N2.2 addition strategies N3.2 addition strategies
Five Addition Strategies https://www.therecoveringtraditionalist.com/5-types-addition-strategies/
Subtraction Strategies
https://www.maine.gov/doe/pl/math/subtraction
N1.9 problems structure subtraction
N2.2 subtraction problem structure N2.2 subtraction strategies N3.2 subtraction problem structure N3.2 subtraction stratagies
Multiplication Strategies
https://www.maine.gov/doe/pl/math/multiplication