Which teacher question is best for investigating a student's understanding of even numbers?

• A. "What do all your answers have in common?"
• B. "Do you think 21 is even because there is a two in it?"
• C. "What pattern can we use to check if a number is even?"
• D. "What do you notice about the number that you did not choose?"

Answer: (C)

The inquiry regarding what pattern can be used to check if a number is even is particularly effective for investigating a student’s understanding of even numbers. This question encourages the student to apply their knowledge of number properties and recognize the systematic nature of even numbers. It invites them to articulate a specific method or rule—such as identifying that even numbers can be divided by two without a remainder or that they typically end in 0, 2, 4, 6, or 8.

Additionally, this question fosters critical thinking and provides insight into the student’s reasoning process. It allows educators to assess whether students can extend beyond rote memorization to comprehend the underlying concepts of evenness in numbers. Engaging students in discussing patterns reinforces their knowledge and invites them to think mathematically, revealing a deeper understanding of the concept of even numbers.