6. What fraction is that which, if 1 he added to the numerator, the value will be , and if 1 be added to the denominator, the value will be ? x+y+z=31 7. x+y-z=25 to find x, y, and z. x-y-z= 9 8. What is the cube root of 8+12a+6a2+a3? 9. What is the square root of 1-4b+462+2y-4by+y2? 10. Divide (a362) & by ał. 11. Reduce (54a m9) to its simplest form. 12. Find two numbers whose difference is 6, and whose product is 40. 15. What two numbers are there whose difference is 3, and the difference of their cubes 189? QUESTIONS ON GEOGRAPHY. [Errors in spelling will detract from credits. Ten questions; value, ten credits each.] 1. Give the latitude and longitude of the City of Washington; of San Francisco; of London. 2. Define Zodiac, Ecliptic, Meridian, and Isothermal Line. 3. Mention some of the principal currents of the ocean, and explain the generally adopted theory of the cause of oceanic currents. 4. Give the area, boundaries, and population of the United States. 5. Through what waters would a vessel pass in sailing from New York to San Francisco, thence to Hong Kong, thence to London via Cape of Good Hope? and what winds and currents would be encountered on the passage? 6. Bound Nevada Territory, name its principal towns, and for what it is remarkable. 7. How do California and the Island of Great Britain compare in size? France and New York? Australia and the United States? 8. Name the principal plateaus of Asia and North America, and the principal plains and deserts of the world. 9. Describe the Mississippi River, name its tributaries, the cities and towns situated upon its banks, and state briefly its commercial and military importance. 10. State the principal points of resemblance, and of difference, between the Eastern and Western Continents. QUESTIONS ON NATURAL PHILOSOPHY. [Ten questions; value, five credits each.] 1. What is the law of attraction of gravitation? What would be the weight of a 641b cannon ball at the distance of the moon? 2. Define specific gravity; and give the law for finding the specific gravity of a solid. 3. What is the generally received theory of light? What are the sources of light? What is the solar spectrum? 4. What are the laws which govern the reflection and the refraction of light? What is the telescope? What is the microscope? 5. What is the barometer, and who invented it? How is it used to ascertain the height of mountains? 6. Mention the principal laws of motion. 7. What is the principle upon which Morse's electro-magnetic telegraph is founded? 8. How is the polarity of the magnetic needle explained? 9. Who invented the steam engine; and what distinguished men have been connected with its improvement and application? 10. What are the laws discovered by Kepler, governing the motions and distances of the planets? GENERAL QUESTIONS, AND METHODS OF TEACHING. [This paper will be credited as a whole; highest number of credits not exceeding 100.] 1. State your name, age, nativity, and Post Office address. 2. At what Schools educated, and how long in attendance? 3. At what places, and in what kind of Schools, engaged in teaching? 4. Length of time engaged in teaching. 5. What certificates received from Boards of Examination? 6. What letters of reference, or of introduction? 7. Can you teach vocal or instrumental music? 8. Can you teach elementary drawing? 9. Have you had any practice in teaching School Calisthenics or Gymnastics? 10. Have you had any practice in giving "Object Lessons?" 11. What class of faculties are called into exercise in the System of "Primary Instruction by Object Lessons?" 12. What works on Teaching, or on Object Teaching, have you ever read? 13. What Educational Journal have you ever taken? 14. What do you conceive to be the relative advantages of Public and Private Schools? 15. What is the natural order of developing the intellectual faculties of a child, and what studies call into exercise the different faculties? 16. What do you conceive to be the use of the study of Arithmetic, and what relative place would you give it in School studies? 17. What general exercises would you introduce into an unclassified School? 18. What system of reward and punishment would you adopt in School? 19. Write an outline of questions in a primary object lesson, on Glass." 20. Outline of a brief moral lesson, on "Lying." [C] PROSPECTUS OF THE CALIFORNIA TEACHER: A MONTHLY EDUCATIONAL JOURNAL, UNDER THE CONTROL OF THE Terms-ONE DOLLAR PER ANNUM, INVARIABLY IN ADVANCE. This journal will be published punctually on the first day of each month, commencing July first, eighteen hundred and sixtythree. Each number will contain at least twenty pages, octavo, in handsome style, besides advertisements. The general appearance of the page will resemble that of the "Massachusetts Teacher." Sufficient funds were collected at the Institute to render its publication for one year a certainty; and it is hoped such a response to its first number will be received as to justify the Resident Editors in increasing the size of each month's issue. Still, no debt will be incurred for the Teachers of the State to meet at the year's end. The enlargement depends entirely upon the Teachers themselves. The price was fixed by the Institute Committee at one dollar per year. The Resident Editors have not time to spend in keeping accounts for the TEACHER, and must insist on payment from each subscriber in advance, or upon receipt of the first number. Where gold dollars cannot be obtained for remittance, silver can be sent by putting three three-cent postage stamps upon the letter. For three subscribers, a quarter eagle may be inclosed, and the remainder in postage stamps. Revenue stamps will be of no service to us. It will be better, however, for Teachers to secure five subscribers, and inclose a half eagle. It is hoped THE CALIFORNIA TEACHER will be of great service to the profession, and in the homes of the Pacific Coast. The need of such a journal is unquestioned. The Eastern educational journals, however valuable, cannot meet our emergencies. Their distance from us, and their necessary ignorance of our School-needs, aside from the call for the full employment of their energies in the home-field, render them entirely inadequate for California. We shall select from the mass whatever may be adapted to our circumstances. We desire to furnish a regular means of communication between School officers and Teachers; to bring to parents and Teachers the best practical methods of discipline and instruction; to give the materials for the future historian of our growth in educational directions; and to use every authorized means of making Teachers better and the people happier. Due regard will be paid to the opinions of all; but no attempt will be made to conceal the importance of moral training and of patriotism in our Schools. The TEACHER is destined to live at least one year; the Institute has made that certain. It remains for those to whom this prospectus may come to determine, in some measure, the degree of influence it will exert, and whether the first year shall be the last. The Editors make no pledges beyond their determination to meet Teachers and friends of education once each month with the best matter that can be obtained. The TEACHER Will be very poorly conducted if the investment of one dollar for each adult in the State should prove a total loss. Address all communications and remittances, "THE CALIFORNIA TEACHER," Box 1977, San Francisco, California. |