There is a large and well-defined group of students, in polytechnics and elsewhere, taking a course of mathematics which is very different from that given in schools. Practical Mathematics, as the subject is usually known, is regarded very unfavourably by many mathematicians, and no doubt it has many defects. However, it is possible that some of its critics have failed to realise the difficulties that occur in connection with evening classes. The present article is intended to show that Practical Mathematics meets a real need, and that it may be made really educational. No attempt will be made to conceal the grave weaknesses that often occur in the actual working of the classes. Some suggestions for improvement will be given, and it is hoped that those with experience of the work, either as teachers or inspectors, will give their views on the subject. Ultimately the Mathematical Association may be able to issue a report that will incorporate the most helpful suggestions received.