Math Practice #3 is all
about listening, analyzing, and responding to others viewpoints. In a
nutshell - this is authentic classroom discourse.

If a student is
proficient in Math Practice #3 they can:

- Analyze problems and use stated mathematical assumptions,
definitions, and established results in constructing arguments.
- Justify conclusions with mathematical ideas.
- Listen to the arguments of others and ask useful
questions to determine if an argument makes sense.
- Ask clarifying questions or suggest ideas to
improve/revise the argument.
- Compare two arguments and determine correct or flawed
logic.

In the classroom, it is
important for teachers to be able to prompt this thinking __without__ giving
it away. The article *Convince Me* by Wendy Petti describes the implementation of this
practice in the classroom where students need to take ownership of the problem.

Below are some actions
that should be seen in the classroom by students and teachers along with some
examples of open ended questions that can be used for almost any scenario.