Error analysis is the process of examining incorrect answers to understand why a mistake happened. In mathematics, this approach helps students and teachers look beyond the final answer and identify gaps in reasoning, calculation or conceptual understanding.

Consider a student solving an equation such as 3x + 4 = 19. If the student subtracts four correctly but then divides incorrectly, the issue may be calculation accuracy. If the student divides before isolating the variable and cannot explain the steps, further work on equation-solving principles may be needed.

The first step is to compare the student's working with a correct solution. Identify the earliest point where the methods differ. This is often more informative than simply replacing the wrong answer with the correct one.

Next, classify the error. Common categories include misunderstanding a concept, choosing an unsuitable method, misreading the question and making an arithmetic mistake. These categories are guides rather than definitive explanations, so students should check their reasoning.

Then, practise a similar question without copying the solution. Explain why each step is appropriate and check the final answer.

Teachers can use patterns across multiple students to decide whether a concept needs reteaching. Students can use their own error records to guide revision.

Error analysis makes feedback more actionable by connecting a mistake to a specific next step. Regular reflection helps students develop clearer reasoning and more independent problem-solving habits.