1. New York City Mathematics Project Tammy La Guarina October 28, 2017
As of 5/27/15
Five Practices
that Promote Conceptual Understanding
and Student Discussion
New York City Mathematics Project Tammy La Guarina October 28, 2017 1

2. AGENDA Welcome & Introductions
Five Practices for Orchestrating Productive Mathematics Discussions
Harry’s Hike
Debrief

3. Getting to Know the Five Practices
1- Anticipating
2- Monitoring
3- Selecting
4- Sequencing
5- Connecting

4. Anticipating Create your mathematical objective Choose rich task
Solve the problem yourself
Make a list of possible approaches (including misconceptions)
Think of possible questions based on these approaches that will push students’ thinking

5. Monitoring While students are working on the task…
Listen, observe and identify key strategies
Keep track of approaches (monitoring chart)
Ask probing or clarifying questions

6. Selecting As you are monitoring…
Decide what approaches/which students you want to highlight
Purposefully select those students whose work will advance the mathematical ideas in your objective

7. Sequencing Ask yourself…
In what order do you want to present the student work samples? e.g.: Concrete to abstract, Misconceptions first…
How will students share their work: document camera, draw on board?...

8. Connecting Craft questions to make the mathematics visible
Compare and contrast 2 or 3 students’ work- what are the relationships?
How does these representations impact your objective?

9. Harry’s Hike

15. Tammy La Guarina
Bronx Field Support Center
Mathematics Instructional Lead