Should Students Show Their Work in Math?

The debate about whether students should show their work in math has been ongoing, with some arguing that it’s essential for understanding and others claiming it’s unnecessary. The question is, what are we really gaining by asking students to show their work? Is it about ensuring they have a conceptual understanding, or is it just a way to verify that they’re not just memorizing procedures?

One valid point is that showing work can help teachers assess whether students have a deep understanding of the math concepts. By requiring students to show their thinking, teachers can identify areas where students may be struggling and provide targeted support. However, this doesn’t mean that students need to show their work every time. In fact, research suggests that automaticity is an essential aspect of math fluency, and requiring students to show their work every time can actually hinder this process.