With regard to the inevitable gaps in the children's minds in connection with the world of living things, such pictures as the following should be in every town school: a pine wood, a rabbit warren, a natural pond, a ditch and hedge, a hayfield in June, a wild daffodil patch, a sheet of bluebells, a cornfield at different stages, an orchard in spring and in autumn, and many others. These must be constantly used when they are needed, and not misused in the artificial method known as "picture talks."

There is another side to nature work. Froebel says: "The things of nature form a more beautiful ladder between heaven and earth than that seen by Jacob; not a one-sided ladder leading in one direction, but an all-sided one leading in all directions. Not in dreams is it seen; it is permanent, it surrounds us on all sides."

Froebel believed that contact with nature helps a child's realisation of God, and any one who believes in early religious experience must agree; a child's early questions and difficulties, as well as his early awe and fear show it—he is probably nearer to God in his nature work than in many of the daily Scripture lessons. All his education should be permeated by spiritual feeling, but there are some aspects in which the realisation is clearer, and possibly his contact with nature stands out as the highest in this respect. There is no conscious method or art in bringing this about; the teacher must feel it and be convinced of it.

Thus we come to the conclusion that the Nursery School nature work can be safely left to look after itself, provided the surroundings are satisfying and the children are free.

In the transition and the junior school there should be no nature lessons of the object lesson type, but plenty of nature work, leading to talks, handwork, and poetry. The aim is not economic or informational at this stage, but the development of pure appreciation and interest. There can hardly be a regular place on the time-table for such irregular work, comprising excursions, gardening, handwork, and literature at least, and depending on the weather and the seasons. There should always be a regular morning time for attending to plants and animals and for the Nature Calendar, but no "living" teacher will be a slave to mere time-table thraldom.

CHAPTER XXIII

EXPERIENCES OF MATHEMATICAL TRUTHS

By means of toys, handwork and games, as well as various private individual experiments, a child touches on most sides of mathematics in the nursery class. In experimenting with bricks he must of necessity have considered relative size, balance and adjustment, form and symmetry; in fitting them back into their boxes some of the most difficult problems of cubic content; in weighing out "pretence" sugar and butter by means of sand and clay new problems are there for consideration; in making a paper-house questions of measurement evolve. This is all in the incidental play of the Nursery School, and yet we might say that a child thus occupied is learning mathematics more than anything else. Here, if he remained till six, he did a certain amount of necessary counting, and he may have acquired skill in recognising groups, he may have unconsciously and incidentally performed achievements in the four rules, but never, of course, in any shortened or technical form. Probably he knows some figures. It is best to give these to a child when he asks for or needs them, as in the case of records of games. On the other hand he may be content with strokes. Various mathematical relationships are made clear in his games or trials of strength, such as distance in relation to time or strength, weight in relation to power and to balance, length and breadth in relation to materials, value of material in relation to money or work. By means of many of his toys the properties of solids have become working knowledge to him. Here, then, is our starting-point for the transition period.

AFTER THE NURSERY STAGE

Undoubtedly the aim of the transition class is partly to continue by means of games and dramatic play the kind of knowledge gained in the Nursery School; but it has also the task of beginning to organise such knowledge, as the grouping into tens and hundreds. This organisation of raw material and the presenting of shortened processes, as occur in the first four rules, forms the work also of the junior school. To give to a child shortened processes which he would be very unlikely to discover in less than a lifetime, is simply giving him the experience of the race, as primitive man did to his son. But the important point is to decide when a child's discovery should end and the teacher's demonstration begin.