Number talks are short, intentional, structured ways for students to talk about math thinking with their peers. The goal of number talks is to build student’s understanding of numbers and help students become flexible with their math thinking. It also gives students a chance to practice explaining their thinking, build fluency and gives teachers insight into student thinking.
Number Talks are meant to build on students’ accuracy, efficiency and flexibility with mental math and computation strategies.
Accuracy is the ability to come up with an accurate or correct answer.
Efficiency is when students can choose an appropriate and practical strategy for a specific problem.
Flexibility is the ability to easily understand number relationships in computations.
Communication is the basis of a successful Number Talk. They are classroom conversations, usually about 5-15 minutes long, around carefully selected and purposeful computation problems. Students share the ways they solve these problems (both those that are accurate and those that are not). Sharing strategies allows students to:
-Clarify their thinking
-Investigate and apply mathematical relationships
-Build a bank of efficient strategies
-Make decisions about choosing efficient strategies for specific problems
-Consider other strategies to test their mathematical logic
Students sharing strategies out loud is also a very valuable assessment tool for teachers. Eavesdropping on students sharing their ideas, and in conversations with peers, allows the teacher to gain an understanding of how the student is thinking mathematically. It is important to recognize that errors often occur because of misconceptions.
The goal of Number Talks is to build students’ abilities to make sense of mathematics and mathematical relationships. This means we, as teachers, must be facilitators in these conversations. We must keep the discussion focused ‘on the math’, which in turn helps students to think about how they respond and think about their ideas as well as those of their peers.
Mental math is a key component of Number Talks. When students are asked to solve a problem without the use of paper and a pencil, they are forced to think about what they know and understand about number relationships to solve the problem. They use these number relationships to develop accurate, efficient and flexible strategies.
Available in every LKDSB elementary school, Intentional Talk by Elham Kazemi and Allison Hintz outlines 5 Targeted Discussion types to help teachers develop purposeful classroom conversations in math.
Four Principals for Classroom Discussion:
Discussions should achieve a mathematical goal
Students need to know what and how to share
Teachers need to orient student to one another and the mathematical ideas
Teachers must communicate that all students are sense makers and that their ideas are valued