15 JULY 1865, Page 22

The Parallel Arithmetic. By W. H. Wingate. (Longmans.)—The idea of

this arithmetic is founded on the dislike which the author has found boys to have to proving their sums. They suspect the first opera- tion to be incorrect and know the proof will in consequence be a useless operation. Mr. Wingate therefore makes every example consist of two questions, involving different figuring, except that the results should be the same. Of course the second result may be fudged, but a single glance at the key exposes the fraud. The device has been found by the author to save himself a deal of time, and to be popular with his pupils. The plan is decidedly ingenious.