Arithmetic : As Taught in the Troy Episcopal Institute (Classic Reprint)

Practical arithmetic built on solid principles you can trust .

This edition presents a method that centers on the two basic ideas behind all numbers and the way they combine. It aims to teach arithmetic from first principles, not just memorize rules, so learners can understand why methods work as they work.

Originally developed for the Troy Episcopal Institute, this work explains notation, numeration, and the six principal operations through a direct, intelligible approach. It emphasizes applying core principles to a wide range of problems, with resourceful guidance for teachers and students alike.

The book progresses from simple numbers to denominate fractions and beyond, using clear illustrations and practical examples. It favors a direct mode of calculation, while offering extensive practice to build mastery and confidence.

• Foundation in quantity, numbers, and the core operations: addition, multiplication, subtraction, and division
• Structured approach to fractions, including vulgar and denominate forms
• Guided practice that reinforces reasoning over rote rules
• Notes on notation, numeration, and practical applications in business and daily tasks

Ideal for readers of historic mathematical texts, teachers seeking a principled arithmetic, and students building a solid arithmetic foundation.