High School Algebra by John Thomas Crawford - PDF

About this book :-
"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 Detail :-
Title: High School Algebra by John Thomas Crawford - PDF
Publisher: Macmillan
Year: 1928
Pages: 424
Type: PDF
Language: English
ISBN-10 #: 1334213267
ISBN-13 #: 978-1334213267
License: Public Domain Work
Amazon: Amazon

About Author :-
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".

Book 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.)

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