Here’s the breakdown of student thinking about double-digit multiplication that I’m seeing as we begin our unit in my 4th Grade class.

**Direct Modeling:**

**Direct Modeling With Composition Into Groups:**

**Breaking The Numbers Apart With Addition:**

**Breaking The Numbers Apart With Arrays:**

**Use of Standard Algorithm:**

**No Real Strategy, But Knowledge Of Multiplication by Multiples of 10:**

Pingback: Recursive and Relational Thinking and the Feedback each Deserves « Math Mistakes()