Tracy, Calvin. Commercial and mechanical arithmetic. 1851. Walton, George A. See p. 103. Wentworth, G. A. The first steps in number, 1884; Grammar-school arithmetic, 1885; High-school arithmetic, 1881; Primary arithmetic, 1891. and Reed, E. M. The first steps in number. 1884. This text and the Primary arithmetic by G. A. Wentworth are upon the Grube method. Wheeler, H. N. Second lessons in arithmetic. 1888. "I have tried in all cases to follow the inductive method of instruction as illustrated in Warren Colburn's First Lessons, a book which has confessedly done more for the cause of education than any other textbook that has ever been published." (From the preface.) White, E. E. A primary arithmetic, 1868; An intermediate arithmetic, 1870. RECENT TENDENCIES AND DEVELOPMENTS. There is no attempt to give a complete bibliography of recent scientific studies, since this has been done by Mr. Howell, whose work is mentioned below. Bagley, W. C. Educational values. Chapter 12. This gives a brief historical account of the reaction against formal discipline. Brown, C. E. Psychology of the simple arithmetical processes. American Journal of Psychology, 17:1, 1906. Brown, J. C., and Coffman, Lotus D. How to teach arithmetic. 1914. Courtis, S. A. Teachers' manual and standard practice tests. 1914. Manual of instructions for giving and scoring the Courtis standard tests. Rev. ed. 1914. Measurement of growth and efficiency in arithmetic. Elementary School Teacher, 10:55-74, 177-99; 11:171-85, 360-70, 528-39; 12:172-37. Standard scores in arithmetic. Elementary School Teacher, November, 1911. Reliability of single measurements with standard tests. Elementary School Teacher, March, 1913. Eliot, Charles W. Educational reform. This is a series of addresses extending over a number of years. They reflect progressive tendencies. Hart, W. W. Community arithmetic for seventh and eighth grades. Elementary School Teacher, 11:285-95. Howell, Henry Budd. A foundation study in the pedagogy of arithmetic. New York, Macmillan Company, 1914. "A very complete résumé of the extensive experimental literature" on arithmetic. The book contains an extensive bibliography. International Commission on the Teaching of Mathematics. Report of the American Commissioners. Washington, Government Printing Office, 1912. (U. S. Bureau of Education Bulletin, No. 14, 1912.) A summary for the elementary school is given on pages 14-25. Jessup, W. A. Grade for introduction of a text in arithmetic. Journal, 15:163, November, 1914. Elementary School Economy of time in arithmetic. Elementary School Teacher, 14:461-76, June, 1914. McMurry, Charles A. Special method in arithmetic. 1905. Herbartian doctrines applied to arithmetic. The elements of general method, 1903. A chapter is given to correlation. McLellan, James A., and Dewey John. The psychology of number. 1895. A constructive interpretation of the nature of the child with respect to number and its applica tions to the teaching of arithmetic. Mathematics in the elementary schools of the United States. The American report of Committees I and II of the International Commission on the Teaching of Mathematics. Washington, Government Printing Office, 1911. (U. S. Bureau of Education.) A comprehensive survey. Matthews, Pauline E. Report of experiment on the value of plays and games in arithmetical drill. Elementary School Teacher, 14:319–324. Monroe, Walter S. A report of the use of the Courtis standard research tests in arithmetic in 24 cities. Topeka, Kans., 1915. 94 pp. (Kansas State normal school, Emporia. Bulletin. New series, vol. 4, no. 8.) National Education Association. Committee of Fifteen. studies, 1895. Committee of Ten. Report. Report on the correlation of These proceedings reflect the educational thought of the teachers of the United States. The following have particular reference to arithmetic: 1880, p. 114; 1881, p. 24, 85, 106; 1892, p. 617, 620; 1895, p. 264, 300. Newcomb, Simon. Methods of teaching arithmetic. Educational Review, 31:339– 350. Parker, Francis W. Talks on pedagogics. Colonel Parker gives a plan for making the scientific subjects a center around which arithmetic and other form subjects may be correlated. Patridge, Lelia E. The "Quincy Methods." Illus. 1885. Rice, J. M. Educational research; a test in arithmetic. Forum, 34: 281-297. Causes of success and failure in arithmetic. Forum, 34: 437-452. Smith, D. E. Handbook to Smith's arithmetics. 1905. The teaching of arithmetic. 1909. The teaching of elementary mathematics. 1900. Stamper, A. W. A textbook on the teaching of arithmetic. 1913. Starch, D. Transfer of training in arithmetical operations. Journal of Educational Psychology, 1911. Stone, C. W. Arithmetical abilities and some factors determining them. 1908. A report of an experimental investigation. Suzzallo, Henry. The teaching of primary arithmetic. 1912. A critical study of recent tendencies in method. Training of teachers of elementary and secondary mathematics. Washington, Government Printing Office, 1911. (U. S. Bureau of Education. Bulletin, No. 12, 1911.) Walsh, John H. Practical methods in arithmetic. 1911. Wilson, G. M. Course of study in mathematics. Connersville, Ind., public schools. 1911. A course of study worked out by Supt. Wilson and his teachers after examining many courses of study and texts. Winch, W. H. Accuracy in school children. Does improvement in numerical accuracy transfer to arithmetical reasoning? Journal of Educational Psychology, 1910. Further work on numerical accuracy in school children. Does improvement in numerical accuracy transfer? Journal of Educational Psychology, 1911. Young, J. W. A. The teaching of mathematics. 1906. REPRESENTATIVE TEXTS OF THE PERIOD. Belfield, H. H., and Brooks, Sarah C. The rational arithmetics. 1898. Hall, Frank H. The Werner arithmetics; a three-book course for graded schools. 1896. The Hall arithmetics; a two-book course for graded or ungraded schools. 1896. These arithmetics represent the extreme spiral arrangement. Hamilton, Samuel. Hamilton's arithmetic. 1907. McLellan, J. A., and Ames, A. F. The primary public school arithmetic. 1898. The public school arithmetic. 1902. These texts are based upon McLellan and Dewey's psychology of number. Myers, George W. Myers's arithmetics. 1903. Seeley, Levi. Elements of the Grube method. 1890. Smith, D. E. Smith's arithmetics. 1904. Southworth, G. A., and Stone, J. C. The Southworth-Stone arithmetics. 1904. Speer, W. W. Form lessons. 1888. A series of arithmetics. The first book of the series was published in 1896. Stone, J. C., and Millis, J. F. The Stone-Millis arithmetics. 1910. Walsh, John H. Walsh's arithmetics. 1895. Wentworth, G., and Smith, D. E. The Wentworth-Smith arithmetics. 1909 INDEX. Academies, instruction, 42-43. "American Accomptant," appearance of dollar mark, 26. Arithmetic, as a science, 92; growth as a school subject, 13-15; sixteenth century Barter, 29. Biber, E., on Pestalozzi's system of arithmetic, 60. Bibliography, 157–165. Boston, Mass., colonial schools, 7–8. Boston Latin School, early labors, 7-8. Brooks, Edward, 102. Burton, Warren, on teaching arithmetic, 41. Chase, P. E., 103, 117–118. Ciphering book method, 42, 44-52. Class instruction, 85-86, 120-121. Colburn, Warren, and his relation to Pestalozzi, 53-62; arithmetics, 55, 63-79; on the teaching of arithmetic, 80-88. Colburn's First Lessons, table of contents, 155–156. College entrance requirements, arithmetic, 13-14. Colonial education, place of arithmetic, 5-16. Committee of Fifteen, report, 132. Committee of Ten, and teaching of arithmetic, 129, 132. Connecticut, colonial schools, 10, 14-15. Content of arithmetic and its organization, 147–149. Correlation, 144–145. Course of study, grade occurrence of arithmetic topics, 136. Dame schools, 40. Davies, Charles, 95–96. Decimal fractions, 22-23. Dedham, Mass., colonial schools, 8-9. Deductive method, 125. Definitions, 19. Delaware, colonial schools, 11. Denominate numbers, 23-26. Devices and drill, 120-127. Dewey, John, on psychical and social demand of arithmetic, 130. |