# Defining new symbols

Park Math’s curriculum has a whole series of problems that ask students to define new symbols and understand their properties. They aren’t really interested in helping students learn about the commutative and associative properties, though these things do come up in the set of problems.  What I’d like to do is use these problems both as a context for deepening their understanding of number properties, while also making these problems more closely tailored to focus on their work with order of operations and their calculator work. I’d like to use these problems to hit things like $(-1)^2$ and PEMDAS.