School Algebra by George Wentworth, David E. Smith
School Algebra - Table of Contents
1. Introduction: Certain Uses of Algebra
2. Negative Numbers
3. Algebraic Expressions
4. Addition
5. Subtraction
6. Multiplication
7. Division
8. Simple Equations with One Unknown Quantity
9. Simple Fractional Equations
10. Simultaneous Simple Equations
11. Graphs
12. Powers and Roots
13. Quadratic Equations
14. Simultaneous Quadratic Equations
15. Ratio and Proportion
16. Appendix: Cumulative Review
What You Will Learn in School Algebra
"School Algebra" by George Wentworth and David Eugene Smith is a classic "algebra textbook" first published in 1913. Designed for high school students, it provides a structured approach to learning algebra, from basic operations to advanced topics. The book covers "equations", powers and roots, quadratic equations, sequences, the Binomial Theorem, logarithms, and even complex numbers. Its clear explanations and progressive structure make it suitable for self-study or classroom use.
The textbook emphasizes practice and repetition, offering numerous exercises to reinforce understanding. It was part of the influential Wentworth-Smith series, which shaped early 20th-century American "mathematics education". Students could follow a full two-year algebra course, gradually building skills while reviewing and consolidating concepts through cumulative exercises. Its systematic approach reflects the pedagogical style of the era, combining clarity, rigor, and accessibility.
Historically, "School Algebra" is significant for both educators and historians. It provides insight into how algebra was taught in the early 1900s and showcases the evolution of "curriculum standards". While some notation and teaching methods may feel dated, the core mathematical content remains relevant. Today, it serves as a resource for understanding classical algebra, exploring historical "education practices", and studying the foundations of high school algebra.
Book Details & Specifications
Title:
School Algebra by George Wentworth, David E. Smith
Publisher:
Ginn & Co.
Year:
1913
Pages:
521
Type:
PDF
Language:
English
ISBN-10 #:
B00AVLJT46
ISBN-13 #:
N\A
License:
Public Domain Work
Amazon:
Amazon
About the Author: George Wentworth
The author
George Wentworth
and "David Eugene Smith" were influential figures in early 20th-century "mathematics education". Wentworth focused on creating clear, structured "algebra textbooks" for high school students, emphasizing progressive learning and practice exercises. Smith, a renowned "mathematics educator" and historian, contributed both scholarly insight and historical perspective to their works. Together, they authored "School Algebra", a widely used textbook that shaped secondary school curricula. Their collaboration reflects a legacy of effective teaching methods and structured learning, providing students and educators with a strong foundation in "algebra" and classical educational practices.
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