Observing Student Reasoning and Proof
 Introduction | Completing Patterns #1 | Problem Reflection #1 | Completing Patterns #2 | Problem Reflection #2 | Classroom Practice | Observe a Classroom | Questions and Answers | Your Journal

We are now going to look at some attribute chains, each of which has a pattern. The students' job is to continue the pattern. First, students were asked to continue this chain:

 Sandra and Jamal completed the chain like this:

Let's look at the conversation that follows.

Teacher: What pieces did you add to the pattern?
Jamal: Two yellows and two blues.

Teacher: What is the pattern?
Sandra: Yellow, yellow, blue, blue, yellow, yellow, blue, blue.

Jamal: We could do this:

Jamal: Yellow, yellow, blue, blue, yellow, yellow, blue, blue, yellow, yellow, blue, blue.

Teacher: Can you continue the pattern?
Sandra: (after looking carefully at the other pieces) No.

Teacher: Why not?
Sandra: Because there are no more blue or yellow blocks left.

Teacher: Now I would like each of you to start a pattern for the other person to continue.

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