In the discussion held at the annual meeting of the Mathematical Association in January 1936 on “Rider-Work in Geometry”, various interesting proposals were made and examples put forward to show how school geometry might be given a research aspect by means of the “discovery rider” or the “inductive method” in order to develop the full powers of the mind and to stimulate the creative abilities. Teachers who have tried to put into practice the ideas presented on that occasion will have obtained rather varied, if not actually contradictory, results. However many may have been successful there are always quite a number who come to the false conclusion that the average pupil has no creative abilities and that all efforts in that direction will fail, since only the very few mathematical specialists are found by them by benefit by it.