A Description of the Visible Numerator: With Instructions for Its Use . Designed to Impart to Learners a Clear and an Adequate Knowledge of the . of Arithmetic, and to Accompany the Apparatus

A Description Of The Visible Numerator: With Instructions For Its Use. Designed To Impart To Learners A Clear And An Adequate Knowledge Of The Principles Of Arithmetic, And To Accompany The Apparatus by Oliver A. Shaw. This work presents Shaw's Visible Numerator, a visual arithmetic teaching apparatus intended to illuminate the principles of arithmetic through tangible, geometrically arranged solids. It argues for a philosophical, eye-centered method of instruction, likening it to the diagrams used in geometry and drawing on the ideas of Locke, Stewart, and Brown. The text describes two sets of solids: one set for the decimal system and the five basic rules (numeration, addition, subtraction, multiplication, and division) and a second set for currency (farthings to pounds) illustrating the compound rules. It provides extensive instructions for classroom and family use, detailing how to illustrate, transcribe, and copy abstract processes, and how to teach reading and writing numbers in figures and words. Topics covered include vulgar fractions, decimal fractions, proportion, and the Rule of Three, plus the square and cube roots. The book closes with reflections on notation philosophy and its educational aims and reception.