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In issuing this volume of my Mathematical Puzzles, of which some have appeared in periodicals and others are given here for the first time, I must acknowledge the encouragement that I have received from many unknown correspondents, at home and abroad, who have expressed a desire to have the problems in a collected form, with some of the solutions given at greater length than is possible in magazines and newspapers. Though I have included a few... more...

CHAPTER I BRIGHT-WITS ARRIVES IN PARRABANG, WHERE HE MEETS THE BEAUTIFUL AZALIA AND BEGINS HIS EXTRAORDINARY TASKS Long ago, before geographies were invented, so that it were useless to seek for the kingdom on any modern map, there lived a wise King who had but one son, of whom he was exceeding fond. Under the guidance of learned teachers the young prince had read the Koran according to the seven traditions, studied the writings of the poets... more...

PREFACE The present world war has given great impetus to the game of Chess. In the prison camps, in the field hospitals, in the training camps and even in the trenches Chess has become a favorite occupation in hours of leisure, not only because it offers a most fascinating pastime, but mainly because it serves beyond any doubt to develop what is now the most interesting study for every soldier—the grasp of the principles underlying... more...

CHAPTER I First Principles: Endings, Middle-Game and Openings The first thing a student should do, is to familiarise himself with the power of the pieces. This can best be done by learning how to accomplish quickly some of the simple mates. 1. SOME SIMPLE MATES Example 1.—The ending Rook and King against King. The principle is to drive the opposing King to the last line on any side of the board.   In this position the power of... more...

I. RULES OF THE GAME A GAME of chess is played by two opponents on a square board consisting of sixty-four White and Black squares arranged alternately. The forces on each side comprise sixteen units, namely a King, a Queen, two Rooks, two Bishops, two Knights, and eight Pawns. All units move according to different laws, and the difference in their mobility is the criterion of their relative value and of the fighting power they contribute... more...


GOING SHOPPING A lively game of "talk and touch." The company is seated in a circle, and one who understands the game commences by saying to his neighbor at the right: "I have been shopping." "What did you buy?" is the required response. "A dress," "a book," "some flowers," "a pencil"—whatever the first speaker wishes, provided always that he can, in pronouncing the word, touch the object mentioned. Then the second player addresses his... more...

PREFACE. “What the child imitates,” says Froebel, “he begins to understand. Let him represent the flying of birds and he enters partially into the life of birds. Let him imitate the rapid motion of fishes in the water and his sympathy with fishes is quickened. Let him reproduce the activities of farmer, miller and baker, and his eyes open to the meaning of their work. In one word let him reflect in his play the varied aspects... more...

It is just as essential that the teacher who enters a schoolroom in September know how to play with children as to teach them. By no better means, perhaps, may the spirit of friendship and co-operation be so thoroughly strengthened and firmly established as through games. The mental, moral and physical growth attained through participation in games cannot be overestimated. To listen to directions, to understand them thoroughly and to execute... more...

A RUNNING MAZE Form a long line of children—one behind the other. The leader starts running, and is followed by all the rest. They must be sharp enough to do exactly as the leader does. After running for a moment or two in the ordinary running step, the leader changes to a hopping step, then to a marching step, quick time, then to a marching step, slow time, claps and runs with hands on sides, hands on shoulders, hands behind, etc.... more...

GAMES FOR HALLOW-E'EN Hallow-e'en or Hallow-Even is the last night of October, being the eve or vigil of All-Hallow's or All Saint's Day, and no holiday in all the year is so informal or so marked by fun both for grown-ups as well as children as this one. On this night there should be nothing but laughter, fun and mystery. It is the night when Fairies dance, Ghosts, Witches, Devils and mischief-making Elves wander around. It is the night when... more...