Arithmetic Upon the Inductive Method of Instruction : Being a Sequel to Intellectual Arithmetic (Classic Reprint)

Learn arithmetic through a clear, student‑driven path that builds understanding from first principles.

This Sequel to Intellectual Arithmetic guides learners with an inductive method that starts with practical, small examples and develops the underlying rules step by step.

Originating as a two‑part course, the book presents a first section of worked examples to illustrate each principle, followed by a second, analytical development of those ideas. It emphasizes student discovery over direct instruction, encouraging learners to reason, explain, and find multiple methods before settling on a preferred approach. The text also explains how to guide recitations and how to introduce new concepts with careful, practical questions.

Designed for readers at a basic to intermediate level, the approach connects practice with principle. It uses small numbers and concrete scenarios to illuminate arithmetic rules, then gradually handles larger numbers and more complex operations. The author stresses patience, individual understanding, and the value of asking questions to reveal the logic behind each method.

• Two‑part structure: practical illustrations first, then principle development
• Emphasis on independent reasoning and student discovery
• Clear guidance for teachers on asking questions and guiding recitations
• Progression from simple calculations to more advanced operations

Ideal for teachers and students seeking a calm, methodical entry to arithmetic and its reasoning.