A 1920 paper by J. H. Whitwam of the Holmfirth Secondary School and Technical Institute, arguing that mathematics for textile students should use examples from the textile trade and should teach reasoning rather than memorized rules. It works through examples such as converting worsted counts to cotton counts, finding the counts of folded or twisted yarns, and calculating the change-wheel for the loom take-up motion. It also covers yarn diameter and sett as functions of count, graphs of going-part and heald motion, and the effect of thread curvature on setting.