The Standards of Mathematical Practice describe varieties of expertise that mathematics educators at all levels seek to develop in their students. (NCTM, 2012)
1. Make sense of problems and perserve in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structures.
8. Look for and express regularity in repeated reasoning.