Introduction to the 5 Practices (revised 9-22-13)

To the 5 Practices for Orchestrating
Productive Mathematical Discussions
5 Practices for Orchestrating Productive
Mathematics Discussions
Setting the Stage
• Before we begin talking about the 5 practices we want you to get
familiar with the David Crane case from the introduction of this
• This case study comes from a 4th grade class. Please do not focus
on the content of the lesson. Instead focus on the pedagogy and
David Crane’s Classroom
• Please read from the bottom of page 2 – page 4
• Once all at your table have read the case study discuss the
• What were some strengths of David Crane’s approach?
• What were some weaknesses?
Analyzing David Crane’s Classroom
Read pages 5 & 6 silently with the following questions in mind:
• What might be an appropriate learning goal for a lesson that features the
Leaves and Caterpillars task?
• How might the discussion have unfolded differently in Mr. Crane’s
classroom with this goal in place?
• Once all at your table have read the analysis, discuss your answers to
the above questions AND discuss the student work on page 4.
Exploring the 5 Practices
• The case of David Crane illustrates the need for guidance in
shaping classroom discussions and maximizing their potential to
extend students’ thinking and connect it to important
mathematical ideas.
Exploring the 5 Practices
• Orchestrating Productive Mathematics Discussions is not easy. It
takes time and practice.
• Please note we are not expecting that you would do this everyday
for every lesson.
Exploring the 5 Practices
• At your table, assign each person 1 of the 5 practices (Anticipating,
Monitoring, Selecting, Sequencing, and Connecting).
• Each person will read their section from the 5 practices book on pages 8-12.
• Once everyone in your group has finished their portion of the reading, each
person will summarize what they read and how it relates to David Crane’s
• Each person should gain an overview of the 5 Practices
• This year we will be using these practices to focus
on Orchestrating Productive Mathematics
Discussions. The 5 practices will form the
backbone of our sessions.
• For most of today we will be focusing on the first
2 practices – Anticipating and Monitoring
Before we move on…
• What does our discussion so far suggest to you about
changes in teaching practice that will produce changes in
the way our students experience/practice mathematics?

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