Orchestrating Mathematical Discussion

Anticipation:

Before giving an activity, to antiquate all the answers the students may give.

Really good to do this collaborative planning.

Clear learning intention. To know what you are looking for. 

Monitoring: 

Monitoring sheet of differently levels students could achieve.

What you anticipate can become your monitoring

Questions are key. If you see level 2 working out, you could ask some questions that could allow student to try a higher up strategy.

Selecting:

Select students to share their work, choose students who have achieved the goals you aimed to achieve. Teacher can choose which answers/strategies to share with class.

Sequencing:

Going over a various responses.

"By making purpose-ful choices about the order in which students’ work is shared, teachers can maximize the chances that their mathematical goals for the discussion will be achieved. For example, the teacher might want to have a student present the strategy used by the majority before one that only a few students used" (Mathematical Teaching in the Middle School)

Connecting:

Connecting the Key ideas.