CHAPTER XIII.-STANDARDIZED TESTS IN MATHEMATICS FOR SECONDARY SCHOOLS. By C. B. Upton. A description of various standard tests in arithmetic, algebra, and geometry, and a discussion of their use in the teaching of mathematics. The tests considered are the following: The Courtis arithmetic tests, the Woody arithmetic scales, the Woody-McCall arithmetic test, the Stone reasoning tests, the Courtis standard practice tests in arithmetic, the Studebaker practice exercises in arithmetic, the Rugg-Clark practice exercises in first-year algebra, the Hotz first-year algebra scales, the Kelly mathematical values test, the Minnick geometry tests, the Rogers prognostic tests of mathematical ability, and others. CHAPTER XIV. THE TRAINING OF TEACHERS OF MATHEMATICS. By R. C. Archibald. A selection from the results of an extended and detailed investigation, covering every State in the Union and all the larger cities, concerning present conditions regarding the training of teachers of mathematics, the facilities for providing such training, and the requirements for certification. The selection is made for the purpose of exhibiting the highest standards to be found in various parts of the country and the courses of study for the training of teachers given in various institutions. The chapter also includes a brief survey of conditions in certain foreign countries. CHAPTER XV.-CERTAIN QUESTIONNAIRE INVESTIGATIONS. W. F. Downey, A. R. Crathorne, Alfred Davis, and others. By These investigations relate to the interests of high-school pupils, change of mind as to life work between high school and college, the importance of mathematics, etc. CHAPTER XVI.—BIBLIOGRAPHY ON THE TEACHING OF MATHEMATICS. By D. E. Smith and J. A. Foberg. This bibliography lists all the articles relating to mathematics that have appeared since 1910 in a number of leading educational periodicals, and gives in addition to author, title, and place of publication a brief summary of each article. INDEX. Algebra, elementary, minor and major college-entrance requirements, 41-43; grades Arithmetic, applications to business, 18; terms and symbols, 68–69. Biography of mathematics, 22-23. Calculus, elementary, 32-33; recommendations, 34–35. College-entrance requirements, 36-46; definition, 41–46. See also Algebra, Geometry. Computation, numerical, 23-24. Courses of study, elective, grades ten, eleven and twelve, 29-34; "general," 10-12; Elementary college courses, value of topics as preparation, 38–39. Elementary mathematics, terms and symbols, 61-70.. Function concept, secondary school mathematics, 53–60. Geometry, demonstrative, 21-22; intuitive, 18-19; relationships, 57-58; terms and Geometry (plane), college entrance requirements, 43-46; list of propositions, 47–51. Geometry, solid, list of propositions, 51–52. Grades seven, eight, and nine, material, 17–26. History of mathematics, 22, 33. Instruction. See Mathematical instruction. Junior high school, course of study, 24; movement, 12-13. Materials, plans for arrangements, 33–35; suggested arrangements, 24–26. Mathematical instruction, aims, 4-8; attitude of colleges, 40-41; organization of subject matter, 10-13; point of view governing, 8-10. Mathematics, history and biography, 22. National Committee on Mathematical Requirements, officers and members, iv; organ- Problems, educational utility, 23. Secondary school mathematics, function concept, 53–60. Statistics, elementary, 32. Teachers, standards, 14-15; training, 13-15. Terms and symbols, elementary mathematics, 61–70. Trigonometry, elementary, 32; numerical, 21; relationships, 59. Years seven, eight, and nine, 16–26. Years ten, eleven, and twelve, 27-35. O 73 |