5 Practices for Orchestrating Productive Mathematics Discussions Twitter

5 Practices for Orchestrating Productive Mathematics Discussions Twitter Math Camp 2016 Kerry Gruizenga and Tony Riehl Billings, Montana

Skyview High School Billings, Montana ~ 1600 Students grades 9 -12 Kerry Gruizenga @kgruizenga Algebra 1 Algebra Foundations AP Statistics

Skyview High School Billings, Montana ~ 1600 Students grades 9 -12 Tony Riehl @riehlt Algebra 1 Algebra 2 College Algebra/Trig

5 Practices for Orchestrating Productive Mathematics Discussions Goal 1: Introduce the “ 5 Practices for Orchestrating Productive Math Discussions”

5 Practices for Orchestrating Productive Mathematics Discussions Goal 2: Do an activity to demonstrate the “ 5 Practices for Orchestrating Productive Math Discussions”

5 Practices for Orchestrating Productive Mathematics Discussions Quick Survey Raise the number of fingers: 1 – Heard of 5 Practices 2 – Read about them 3 – Considered using them 4 – Tried the process in my class 5 – Successfully used the process

5 Practices for Orchestrating Productive Mathematics Discussions Let’s do this….

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions • Individual time • Group time

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions • Sequencing • Presenting

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions *Margaret S. Smith and May Kay Stein, Five Practices for Orchestrating Productive Mathematics Discussions. NCTM. 2011

5 Practices for Orchestrating Productive Mathematics Discussions Five Practices for Orchestrating Productive Mathematics Discussions 1. Anticipating 2. Monitoring 3. Selecting 4. Sequencing 5. Connecting

5 Practices for Orchestrating Productive Mathematics Discussions 1. Anticipating Do the problem yourself What are students likely to produce? Which strategies advance the mathematics?

5 Practices for Orchestrating Productive Mathematics Discussions 2. Monitoring • Listen, observe, identify key strategies • Keep track of approaches • Ask questions of students to get them back on track or to think more deeply -Advancing and assessing questions

5 Practices for Orchestrating Productive Mathematics Discussions 3. Selecting • CRUCIAL STEP – what do you want to highlight? • Purposefully select those that will advance mathematical ideas • Focus on student personalities

5 Practices for Orchestrating Productive Mathematics Discussions 4. Sequencing • In what order do you want to present the student work samples? • Do you want the most common first? • Do you present misconceptions first? • Last order – extension examples

5 Practices for Orchestrating Productive Mathematics Discussions 5. Connecting • Craft questions to make the math visible. • Compare and contrast 2 or 3 students’ work – what are the mathematical relationships? • What do parts of student’s work represent in the original problem? The solution? • Connections to the past?

5 Practices for Orchestrating Productive Mathematics Discussions Part two ….

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions • Individual time • Group time

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions • Sequencing • Presenting

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions

5 Practices for Orchestrating Productive Mathematics Discussions Five Practices for Orchestrating Productive Mathematics Discussions 1. Anticipating 2. Monitoring 3. Selecting 4. Sequencing 5. Connecting

5 Practices for Orchestrating Productive Mathematics Discussions Questions?

5 Practices for Orchestrating Productive Mathematics Discussions 1. 2. 3. 4. 5. 6. 7. 8. The Mathematical Practices Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.

Credits Five Practices for Orchestrating Productive Mathematics Discussions. NCTM. 2011 Margaret S. Smith and May Kay Stein Mathematics Vision Project http: //www. mathematicsvisionproject. org/

Contact Information • Kerry Gruizenga gruizengak@billingsschools. org Twitter: @kgruizenga • Tony Riehl riehlt@billingsschools. org Twitter: @riehlt