Why Working Out is More Important than the Answer (Math)
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What separates a band 6 response from a band 4 often has little to do with whether the final answer is correct. Whether the working out shows a clear, logical path to get there is equally, if not more, crucial.
Students tend to treat working out as a formality, something to satisfy a teacher rather than something that carries real value. This attitude usually forms early, when questions are simple enough that the answer can be reached in a student's head, and writing steps down feels like a chore. By the time they reach senior years that habit is hard to break, even as the problems get long enough that skipping steps starts costing marks, and more importantly starts costing accuracy.
The syllabus rewards process for good reason. Multi-step problems in calculus, mechanics and financial math are structured so that partial credit reflects partial understanding. A student who sets up an integral correctly but makes an arithmetic slip further down still demonstrates the harder conceptual skill. A student who writes only a final answer, right or wrong, gives a marker nothing to assess and gives themselves nothing to check against when something goes wrong.
There's also a correcting benefit that has nothing to do with marks. Writing out each step forces a student to notice when a line doesn't follow logically from the one before it, which is exactly the moment an error usually happens. Skipping straight to an answer removes that checkpoint entirely, so mistakes compound instead of getting caught early.
Working out isn't a courtesy for the marker, it's a discipline that catches errors before they happen and earns credit for understanding that a plain, bare answer cannot show. Students who build this habit early stop seeing it as extra work and start seeing it as the fastest, and safest route to a reliable answer.
