1. Introduction to the 5 Practices for Orchestrating Productive Mathematics Discussions

This video includes discussion time regarding what it means to orchestrate a productive mathematics discussion and introduces the 5 practices. These videos are an introduction to the ideas presented in the book entitled "5 Practices for Orchestrating Productive Mathematics Discussions" by Margaret Schwan Smith and Mary Kay Stein.

1. The 5 Practices: Introduction Video

2. Practice 0: Finding an Interesting and Worthwhile task

This video gives ideas for where to find tasks and how to revise problems into tasks.

2. The 5 Practices: Find an Interesting Task Video

3. Practice 1: Anticipating Student Answers (right and wrong)

This video introduces the Happy Faces task which will be discussed in the rest of these videos. Student Answers to this task are anticipated and used to create a monitoring sheet

3. The 5 Practices: Anticipating Video

4. Practice 2: Monitoring Students

Once a task is given to the students to work out, a teacher should monitor the class work and help students along the desired solution pathways. In this video, we give suggestions on how to ask good questions to help students move forward with their solutions. And how to use the monitoring sheet to prepare for selecting and sequencing student solutions.

4. The 5 Practices: Monitoring Video

5. Practice 3: Selecting Approaches to Discuss Together

Now that we have made note of student solutions, we discuss how to select the students to make presentations to the class. 

5. The 5 Practices: Selecting Video

6. Practice 4: Sequencing the Presentations

We then decide which sequence to ask the students to present in. We keep our learning goals in mind and have the students presentations be in a sequence that leads us along to the solutions that best support our objectives.

6. The 5 Practices: Sequencing Video

7. Practice 5: Connecting the Presentations to Each Other and the Mathematics

As the presentations are given, we make sure that connections are made between the solution methods. We have students explain the connections and each other's reasoning so that everyone can be sure to understand the material. We also make certain that the underlying mathematics is clearly discussed so that students are confident that they learned what they were supposed to learn.

7. The 5 Practices: Connecting Video

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