High School Algebra by John Thomas Crawford
High School Algebra - Table of Contents
1. Algebraic Notation
2. Simple Equations
3. Positive and Negative Numbers
4. Addition and Subtraction
5. Multiplication and Division
6. Simple Equations (continued)
7. Simultaneous Equations
8. Type Products and Simple Factoring
9. Simple Applications of Factoring
10. Review of the Simple Rules
11. Factoring (continued)
12. Simultaneous Equations (continued)
13. Geometrical Representation of Number (Graphs, etc.)
14. Highest Common Factor and Lowest Common Multiple
15. Fractions
16. Fractional Equations
17. Extraction of Roots
18. Quadratic Surds
19. Quadratic Equations
20. Ratio and Proportion
21. The General Quadratic Equation
22. Simultaneous Quadratics
23. Indices (Exponents)
24. Surds and Surd Equations
25. Theory of Quadratic Equations (Roots, Relations)
26. Supplementary Chapter (additional factoring, identities, etc.)
What You Will Learn in High School Algebra
"High School Algebra" by John Thomas Crawford is a classic "algebra textbook" designed for high school students. It introduces algebra in a clear, structured way, emphasizing understanding rather than rote memorization. The book bridges the gap between "arithmetic" and algebra, showing students how familiar operations translate into algebraic concepts. Using a “question method,” it encourages students to think critically, explore patterns, and discover principles for themselves.
The textbook covers essential topics such as "equations", quadratic expressions, factoring, powers and roots, and sequences. Its logical progression helps learners build skills gradually, reinforcing concepts through practice exercises. Crawford’s approach is student-centered, combining clear explanations with practical problems that develop both computational skills and reasoning abilities. This makes it suitable for classroom use as well as "self-study".
Historically, "High School Algebra" reflects early 20th-century "mathematics education" practices, emphasizing both theory and problem-solving. Its systematic approach ensures students gain a strong foundation in algebra while promoting analytical thinking. Even today, it remains a valuable resource for those seeking a classical, thorough, and accessible introduction to algebra, making it a timeless reference in secondary mathematics learning.
Book Details & Specifications
Title:
High School Algebra by John Thomas Crawford
Publisher:
Macmillan
Year:
1928
Pages:
424
Type:
PDF
Language:
English
ISBN-10 #:
1334213267
ISBN-13 #:
978-1334213267
License:
Public Domain Work
Amazon:
Amazon
About the Author: John Thomas Crawford
The author John Thomas Crawford
was an influential American educator and mathematician known for his contributions to "mathematics education". He authored clear, structured "algebra textbooks" for high school students, emphasizing logical progression and practical exercises. His teaching bridged "arithmetic" and algebra, helping students understand concepts rather than just memorize rules. Crawford’s "High School Algebra" uses a question-based approach to encourage critical thinking and problem-solving. Widely adopted in secondary schools, his work shaped early American algebra curricula. Today, his legacy continues as a reference for effective "algebra learning" and classical teaching methods in "mathematics".
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