A mistake is not the end of reasoning

A wrong answer does not tell the whole story. It does not necessarily mean that the student did not understand, did not work, or is not capable of succeeding.

A mistake may come from a misunderstood instruction, a forgotten step, an inaccurate calculation, or an assumption that seemed reasonable at first. To find out what happened, it is sometimes necessary to retrace the path taken.

That is where reasoning becomes interesting. Instead of looking only at the final answer, you can ask: “How did you get this result?” or “At what point did you hesitate?” These questions help you understand what the student was trying to do.

This is not about celebrating every mistake or giving up on accuracy. It is about using mistakes as information to better understand what needs to be revisited.

Altaïr Education follows this supportive approach: it can ask about the student’s process, explain what caused the difficulty, and then offer to revisit the concept in a different way.

Making progress sometimes means starting over. When students understand why a strategy did not work, they gain something more lasting than a copied-out correction.