Three of the math practices described in the Common Core State Standards for Mathematics– *reason abstractly and quantitatively (MP2), look for and make use of structure (MP7),* and *look for and express regularity in repeated reasoning (MP8) – * describe three different avenues of mathematical thinking that provide entry into and through all kinds of math problems (see graphic). Click on the table for an overview of what a math doer pays attention to, the questions they ask themselves, and the subsequent actions they take when using a particular avenue of thinking. Click on the video for an engaging five-minute presentation describing the three avenues of thinking.

Use our routines for reasoning to develop these avenues of thinking in your students and they will become powerful math problem solvers!

*Routines for Reasoning*, Heinemann 2016

Watch a five minute overview of a framework for the Standards for Mathematical Practice. Pause when you’d like to spend more time considering the mathematics and the student work.