5 Practices for Orchestrating Productive Mathematics Discussions
Smith, Margaret S. and Stein, Mary Kay
2011 NCTM
Pages: 104
Teaching and Learning: Books
DESCRIPTION
5 Practices for Orchestrating Productive Mathematics Discussions by
Margaret S. Smith and Mary Kay Stein provides teachers and coaches
with strategies to facilitate meaningful discourse that promotes
productive learning within the mathematics classroom. The 5 practices
are:
1. Anticipating
2. Monitoring
3. Sequencing
4. Selecting
5. Connecting
In addition to being introduced to these 5 practices, readers will have the opportunity to learn how
to set the groundwork through setting goals and selecting tasks. These starting points are discussed
in depth to emphasize the importance of pre-planning before implementing any type of
mathematical task. Throughout the book there are observational case studies that share the lesson
implementation strategies that occur in the various classrooms. Teachers and coaches can read and
consider the different techniques used in order to compare and contrast the successes and
struggles of other educational professionals while underscoring the importance of implementing
the 5 practices. In addition, there are “Try This!” sections at the end of the later chapters to promote
practicing the use of the strategies discussed. Finally, in addition to the 5 practices, this resource
incorporates two other best practices to deepen meaningful discourse. The first, called “Moves,”
deepens the last three practices, while the second, called the Thinking Through a Lesson Protocol
(TTLP), scaffolds the planning process through a list of questions.
This resource is a quick read designed to help teachers slow down to think about what is being
taught and how to teach it in a meaningful way. It provides a design to make mathematical
conversations in a lesson follow a specific structure. This structure assists teachers to identify
strategies students use when solving a problem, to observe students and guide them effectively,
and to design group discussions that helps students reach teachers’ instructional goals.
STAGE 2 LEADERSHIP
5 Practices for Orchestrating Productive Mathematics Discussions supports stage 2 development of
leaders by providing guidance to coaches as they facilitate teachers in improving the discourse that
occurs within their mathematics classrooms.
Leadership in Mathematics Education
www.mathedleadership.org
Posted 2017
Submitted b: Matthew Cox
While teacher teams may find other resources that promote a similar focus, the layout used within
this text is clear and easy to follow:
Setting meaningful mathematical goals
Selecting Tasks that will elicit the desired goals
Implementing the 5 Practices to improve discussions
Incorporating the “Moves” to deepen discussions
Utilize the TTLP (or another planning guide) to steer the planning process.
Each chapter and the case studies embedded within build on one another. This allows coaches to
focus discussions on the different instructional areas that may need improvement. The “Try This!”
section provides direction for coaches in facilitating meaningful conversations to improve the
lesson-designing process. Coaches can help teachers select tasks, solve the task on their own, and
come up with a variety of solutions to anticipate what the students will come up with. They can help
create monitoring sheets to identify the different strategies students use so that teachers can guide
the classroom conversations toward the instructional goals of the lesson. Coaches can use this
framework as a lens through which they observe teachers, monitor implementation of these
strategies, and provide feedback with the goal of improving instructional practices in the
facilitation of mathematical discourse.
Leadership in Mathematics Education
www.mathedleadership.org
Posted 2017
Submitted b: Matthew Cox
in: Jaeger M., Kulcsár G., Taylor N., Staniuk R. (eds.) Kakucs-Turján a Middle Bronze Age multi-layered fortified settlement in Central Hungary (SAO/SPEŚ series, Bonn)