## Friday, August 12, 2011

### Classroom Strategy: Think Pair Share

One of the most effective and easiest ways to get students involved in your classroom is to use Think Pair Share.  Harvard Professor and Physicist, Eric Mazur, has been one of the strongest proponents of using peer instruction.

How does Think Pair Share work in a mathematics classroom?  It goes like this...

• Pose a question or task to the class, such as "Give an example of..." or "Which ones of these, if any, is an example of...?"
• (Think) Let students think about the question/task individually for about a minute (or whatever appropriate time)
• (Pair) Ask students to explain their solution/idea/thoughts to one person sitting next to them.
• (Share) Involve the entire class in a discussion of the question/task.  A good way to start off is to walk around the class while the pairs are discussing and ask one or two pairs to share their ideas.
• (Recycle) If necessary, a class may not arrive at a consensus.  In such cases the class can re-enter the pair phase and work with their partner to sort out the details.
Below are some examples chosen from elementary Number Theory.  But these ideas can be easily adapted to any math course from Calculus to Math for Elementary Teaching to Real Analysis.

Example1:  (Starter question)

• State the definition of $n|k$, where $n,k$ are integers.
• Question: In your own words, interpret what $n|k$ means.  Write a few sentences.
• Pick a few groups to share their work.

Example 2:
• Task: Determine which of the following statements is true.
1. If $n$ is even, then $2|n$.
2. If $n$ is even, then $n|2$.
• Think for yourself which one is correct.
• Question: If $n|a$ and $n|b$, then $n|(a+b)$.