The ""new math"" is getting to be a familiar old problem. The teacher angle remains the same -- more supplementary books needed for their better math students. When Dr. Jonas' New Ways in Math appeared two years ago, the reviews bristled with reservations, but the book did get on the teacher bibliographies. This is a companion volume to that book. The contents range from the history and idea of numbers in antiquity, through a hurry-up introduction to decimals, to a presentation of the various algebraic basics which ends with the elements of graphing. These are crowded pages in terms of scope and there aren't as many repetitive explanations or examples as the run-of-the-mill, teach yourself texts offer. However, the book is geared to the accelerated student -- the new math for a new, better-prepared sort of pupil. Aliki's light line cartoons provide the necessary relief of good humor.