Discourse Measurement Scale 0 - No opportunity given 1 - Opportunity provided, but students were off task 2 - One proficient characteristic observed 3 – Two proficient characteristics observed 4 – Three proficient characteristics observed 3 Characteristics: Focused 3+Turns Turns build Review characteristics Provide discourse form

Discourse Quality 2.5 1.5 2 min

Peer Dependent Talk Time 32% 22% 1 min Fall average: 22% Spring average: 32%

Goals for 2016 - 17 2.75 40% Discourse Quality: Peer Dependent Talk Time: 2.75 40%

The Five Practices Anticipating Monitoring Selecting Sequencing Connecting The five practices are: Anticipating likely student responses to mathematical tasks While students working on the tasks (in pairs or small groups), Monitoring students’ actual responses to the tasks Selecting particular students to present their mathematical responses during the whole class discussion Purposefully sequencing when these student responses are shared during the discussion Helping the class make mathematical connections between different students’ responses As you can see, each of these has been discussed separately by various authors; our contribution here is to integrate them into a single package. 4 min

Anticipating What strategies are students likely to use to solve the math task? Where will students get stuck (potential misconceptions)? What strategies are likely to be most useful in addressing the math goal? 2 min

Monitoring Keep the mathematical goal in mind. Roaming while observing and listening. Keep track of what you are seeing and hearing. Ask questions to help make students thinking visible, to help students clarify their thinking, and to make sure students are engaged. Obviously we can’t monitor student work here, but there are strategies we can use while monitoring. There is a misconception that students must work on this on their own and we remove ourselves from interacting with them. This is a time to listen in on conversations, to see what strategies students are using, to pull out the shepherding questions to assist students who are stuck. 3 min

Selecting Keep the mathematical goal in mind. Determine which ideas (what) and students (who) the teacher will focus on during the discussion. Selecting gives the teacher the control over what the whole class will discuss to guide the discussion toward the math goal. 1 min

Sequencing Keep the mathematical goal in mind. Sequencing is the process of determining the order in which to present student work. Order the work in such a way as to make the math accessible to all students and to build a mathematically coherent story line (more concrete and move to more abstract). 1 min

Connecting This practice is the most challenging and is embedded within the other practices. Teachers craft questions that will make the mathematics visible and understandable. End your lesson with direct instruction using student work and ideas to solidify the learning goal. This is not linear.

Grade Eight Derrick’s Dog Sitting and Darlene’s Dog Sitting are competing for business. Derrick’s company charges an initial fee of $9 plus $5 per hour. Darlene’s charges $3 per hour with an initial fee of $15. Find the number of hours for which the total cost will be the same for the two services. Math goal: Solve linear equations with the variable on both sides (8.EE.7). Silent read first Close eyes to visualize while presenter reads it

Anticipate Derrick’s Dog Sitting and Darlene’s Dog Sitting are competing for business. Derrick’s company charges an initial fee of $9 plus $5 per hour. Darlene’s charges $3 per hour with an initial fee of $15. Find the number of hours for which the total cost will be the same for the two services. With your elbow partner, anticipate the solution pathways students might take to solve this problem as well as potential misconceptions. Then discuss as an entire table. Independent / Partner / Table

Anticipate/Select/Sequence As a table group, select three or four possible solution pathways. Work together to sequence the order in which you might share the pathways with your class. Partner –work together to sequence their anticipated approaches

Derrick’s Dog Sitting and Darlene’s Dog Sitting are competing for business. Derrick’s company charges an initial fee of $9 plus $5 per hour. Darlene’s charges $3 per hour with an initial fee of $15. After first piece of info: What is some more information that you want to know? After second piece of info: What math question could we ask? Find the number of hours for which the total cost will be the same for the two services.

Table Talk Curiosity Engagement Sense making How would engaging in the Prediction Lines Strategy change the way students experience and think about a problem? Curiosity Engagement Sense making Curiosity, engagement, sense making

Selecting/Sequencing Student Work With your elbow partner, examine the student work provided. Determine how you might sequence the solution paths. Collaborate with your table to come to a consensus regarding the most powerful way to sequence these student examples. Partner then table Facilitate discussion – have participants show on their whiteboards the symbol corresponding to the piece of student work they sequenced first, next ….

Questioning/Connecting Work with your table group. Create a question you might pose based on the student work on the doc cam. Write the question on your white board. Student work under camera – partners One person from each table stands and reads question.

Connecting How might we best connect the thinking shown in the selected pieces of student work? What might be our next step in the lesson to best emphasize our math goal? Math goal: Solve linear equations with the variable on both sides (8.EE.7). Connecting Setup for present to connect the student ideas

Application Continue utilizing the 5 Practices to support mathematical discourse in your classroom. Pay special attention to questioning and connecting. Be prepared to share your experiences at our next meeting.

Remember… Standards don’t teach, teachers teach Processes are as important as content This work is difficult and unlikely to be done alone!