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Integer Number Lines in U.S. School Mathematics - Appendix: Arithmetic and Algebra Texts Examined

Author(s): 
Nicole M. Wessman-Enzinger (George Fox University)

Table 2. Arithmetic and Algebra Texts Examined for Number Line Use with Integers

Year   Author Book Title
1809   Simpson A treatise of algebra: Wherein the principles are demonstrated, and applied in many useful and interesting inquiries, and in the resolution of a great variety of problems of different kinds. To which is added, the geometrical construction of a great number of linear and plane problems, with the method of resolving the same numerically
1814   Day An introduction to algebra, being the first part of a course of mathematics, adapted to the method of instruction in American colleges
1821   Farrar

An introduction to the elements of algebra, designed for the use of those acquainted only with the first principles of arithmetic. Selected from the algebra of Euler (2nd ed.)
1831   Colburn An introduction to algebra upon the inductive method of instruction
1832   Young An elementary treatise on algebra, theoretical and practical; with attempts to simplify some of the more difficult parts of the science, particularly the demonstration of the binomial theory in its most general form; the solution of fractions of the highest orders; the summation of infinite series, &c. intended for the use of students
1833   Day An introduction to algebra, being the first part of a course of mathematics, adapted to the method of instruction in the American colleges (11th ed.)
1837   Ray Eclectic series-newly improved. Ray’s arithmetic: Part third. Being the author’s eclectic arithmetic, on the inductive and analytic methods of instruction; designed for common schools and academies
1839   Bailey First lessons in algebra, being an easy introduction to that science designed for the use of academies and common schools
1842   Sherwin An elementary treatise on algebra, for the use of students in high schools and colleges
1843   Day & Thomson Elements of algebra, being an abridgment of Day’s algebra adapted to the capacities of the youth, and the method of instruction, in schools and academies
1848   Perkins A treatise on algebra, embracing, besides the elementary principles, all the higher parts usually taught in colleges; Containing moreover, the new method of cubic and higher equations as well as the development and application of the more recently discovered Theorem of Sturm
1848   Thomson Day and Thomson’s series. Elements of algebra, being an abridgment of day’s algebra, adapted to the capacities of the young, and the method of instruction, in schools and academies
1851   Mann & Chase Arithmetic, practically applied, for advanced pupils, and for private reference, designed as a sequel to any of the ordinary text-books on the subject
1852   Ray Eclectic education series. Ray’s new higher algebra. Elements of algebra, for colleges, schools, and private students
1853   Thomson A key to the abridgment of Day’s algebra; containing many explanations, the answers to all the questions, together with a statement and solution of the more difficult problems
1856   Leach & Swan An elementary intellectual arithmetic, containing numerous original contractions in multiplication
1857   Loomis Treatise on algebra (12th ed.)
1858   Davies Elements of algebra: On the basis of M. Bourdon: Embracing Sturm’s and Horner’s theorems, and practical examples
1862   Greenleaf Key to Greenleaf’s new elementary algebra
1866   Greenleaf The national arithmetic, on the inductive system, combing the analytic and synthetic methods; forming a complete course of higher arithmetic
1866   Ray Eclectic educational series. New elementary algebra. Primary elements of algebra, for common schools and academies
1867   Greenleaf 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
1875, 1876   Robinson New elementary algebra: Containing the rudiments of the science for schools and academies
1877   Greenleaf Manual of intellectual arithmetic: An independent treatise upon the basis of mental arithmetic
1879   Olney Olney’s two-book series. A practical arithmetic for intermediate, grammar, and common schools
1880   Greenleaf New practical arithmetic; in which the science and its applications are simplified by induction and analysis
1892   Milne Standard arithmetic: Embracing a complete course for schools and academies
1893   Wentworth A practical arithmetic
1897   Durell & Robbins A school algebra
1898   Wentworth New school algebra

Nicole M. Wessman-Enzinger (George Fox University), "Integer Number Lines in U.S. School Mathematics - Appendix: Arithmetic and Algebra Texts Examined," Convergence (February 2018)

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