Introduction to the National Arithmetic, on the Inductive System, Combining the Analytic and Synthetic Methods: In Which the Principles of the Science Are Fully Explained and Illustrated; Designed for - Hardcover

Benjamin Greenleaf

 
9780266405849: Introduction to the National Arithmetic, on the Inductive System, Combining the Analytic and Synthetic Methods: In Which the Principles of the Science Are Fully Explained and Illustrated; Designed for

Synopsis

Master this practical arithmetic with clear explanations, real-world examples, and a method that blends analysis with synthesis.

The book aims to render the reasons behind methods of solution intelligible to learners. It uses simple, precise language and presents rules, definitions, and illustrations that build understanding before applying new concepts. Through practical, student‑engaging examples, it seeks to fix principles in the mind and foster a love for mathematics, not just mechanical routine.

A key feature is treating reasoning as central. It emphasizes mental discipline, patient thought, and thorough investigation, and it connects rules to useful, real‑life applications. An extensive Appendix presents the Metric System and related measures, while content covers money, weights, measures, interest, and more, all aligned with current usage and legislation. Questions appear to direct teachers and pupils to core ideas, yet teachers are encouraged to adapt and extend them for deeper mastery.
  • Clear explanations of rules and operations, with illustrated steps to aid understanding.
  • A focus on the "why" behind methods to encourage reasoning and problem solving.
  • Extensive practice ranging from money and measures to fractions and fractions of denomi­nate numbers.
  • An Appendix with metric measures and practical tables to reflect contemporary usage.
Ideal for readers and instructors in common schools and academies seeking a thorough, accessible arithmetic foundation that blends theory with hands‑on practice.

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