Wednesday, March 18, 2015

Math Practice #3 - Construct Viable Arguments and Critique the Reasoning of Others

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.