Arithmetic, in Two Parts

Arithmetic, In Two Parts by Frederic Augustus Adams is an educational manual from the mid-19th century that presents a comprehensive program for school arithmetic. The book is divided into two parts: Part First focuses on Advanced Lessons in Mental Arithmetic, while Part Second provides Rules and Examples for Practice in Written Arithmetic. Aimed at common and high schools, this work seeks to elevate arithmetic beyond routine calculations by fostering rapid and insightful mental computation with large numbers, as well as explaining the reasoning behind standard rules. The Preface outlines a teaching approach that begins with the highest orders of numbers to engage students through meaningful calculations. The text includes extensive sections on addition, subtraction, multiplication, and division, as well as fractions, decimals, time, money, measures, ratios, proportions, and practical problems. Additionally, it covers the theory of numbers, prime and composite numbers, and elements of geometry. The Second Part features numerous drill problems and exercises, along with notes on practical applications and recommended teaching methods, receiving strong endorsement from contemporary educators.