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In this module, we will take a glimpse into the five practices model as described in "5 Practices for Orchestrating Productive Mathematics Discussions," by Margaret S. Smith and Mary Kay Stein.
In this module, we will take a glimpse into the five practices model as described in "5 Practices for Orchestrating Productive Mathematics Discussions," by Margaret S. Smith and Mary Kay Stein.
This is a set of instructional practices for educators in having math discussions that value and uncover student thinking.
The five practices [...] are meant to make student-centered instruction more manageable by moderating the degree of improvisation required by the teacher during a discussion. (Smith & Stein, 2011)
Our goal: To establish manageable classroom practices for productive classroom discussions.
Our goal: To establish manageable classroom practices for productive classroom discussions.
Please begin with thinking about learning goals and the importance of selecting appropriate tasks that will build on student thinking and understanding before working through each of the 5 practices that you can implement in your teaching this week.
The 5 Practices, in brief, are:
Anticipating students’ solutions to a mathematics task
Anticipating students’ solutions to a mathematics task
Monitoring students’ in-class “real-time” work on the task
Monitoring students’ in-class “real-time” work on the task
Selecting student strategies and students to share them
Selecting student strategies and students to share them
Sequencing students’ solutions purposefully
Sequencing students’ solutions purposefully
Connecting students’ approaches and the underlying mathematics
Connecting students’ approaches and the underlying mathematics
"Research tells us that student interaction – through classroom discussion and other forms of interactive participation – is foundational to deep understanding and related student achievement. But implementing discussion in the mathematics classroom has been found to be challenging."
– Student Interaction in the Math Classroom: Stealing Ideas or Building Understanding – Research Monograph by Dr. Catherine D. Bruce, p.1
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