GEOMETRY. 1. (a) Give your method of distinguishing and illustrating the following geometrical terms: axiom, corollary, scholium. (b) Give what you consider the three most important axioms of geometry. 2. Discuss (a) Loci. (b) Theory of limits, giving such illustrations as you would use before a class. 3. (a) In how many cases are two triangles identically equal? 4. 5. (b) Give four cases. Discuss concurrency of lines as related to triangles, illustrating one case by a theorem with proof. (a) Draw a figure to prove the square upon the hypotenuse equal to the sum of the squares on the other two sides of a right triangle. (b) Mention in their logical order the points to prove in making the demonstration of the above from the figure. 6. Prove that if two line segments intersect so as to make the product of the segments of one equal to the product of the segments of the other, their four extremities are concyclic, i. e., in a circumference. 7. Compute the area of a triangle in terms of its sides. Demonstrate. 8. 9. 10. (a) What is the volume of a truncated triangular prism? Demonstrate. (b) A cistern is 8 ft. square at the top, 6 ft. square at the bottom, and 8 ft. deep. How many gallons of water will it hold? The area of a regular tetrahedron is 16 inches. Find the edge of a similar tetrahèdron having twice the volume. The area of a zone is equal to the product of its altitude and the circumference of a great circle. Demonstrate. GERMAN. 1. (a) Decline a masculine, a feminine, and a neuter noun of the strong declension together with an article and a qualifying adjective. (b) What nouns are declined in the weak declension? 2. Give the principal parts of brennen, senden, rufen, finden, bitten, sprechen, preisen, wissen, loben. 3. (a) What prepositions govern either the dative or the accusative case? When the dative and when the accusative? 4. (b) What is the use of the passive voice in German? How is it formed? Conjugate finden in the present, past, and perfect subjunctive, passive voice. (c) What idioms are used in German as a substitute for the passive voice? (a) When is von used in place of the genitive? (b) When do als, wenn, and wie each introduce adverbial clauses? (c) What adjectives require the dative? Illustrate. 5. Translate: (a) He is the father of three children. (b) How many sacks of potatoes did the farmer bring? (c) Be welcome to us. (d) He begged that he might be allowed to go. (Express in active voice.) (e) The gentleman whose house I bought has gone away. 6-7. Translate and give constructions of italicized words: Drauszen auf der Strasze war es tiefe Dämmerung; er fühlte die frische Winterlust an seiner heiszen Stirn. Hie und da fiel der helle Schein eines brennenden Tannenbaums aus den Fenstern, dann und wann hörte man von drinnen das Geräusch von kleinen Pfeifen und Blechtrompeten und dazwischen jubelnde Kinderstimmen. Scharen von Bettelkindern gingen von Haus zu Haus, oder stiegen auf die Treppengeländer und suchten durch die Fenster einen Blick in die Versagte Herrlichkeit zu gewinnen. Mitunter wurde auch eine Thür plötzlich aufgerissen, und scheltende Stimmen trieben einen ganzen Schwarm solcher kleinen Gäste aus dem hellen Hause auf die dunkle Gasse hinaus; anderswo wurde auf den Hausflur ein altes Weihnachtslied gesungen; es waren klare Mädchenstimmen darunter. Reinhardt hörte sie nicht, er ging rasch an allem vorüber, aus einer Strasze in die andere. Als er an seine Wohnung gekommen, war es fast völlig dunkel geworden; er stolperte die Treppe hinauf und trat in seine Stube. Ein süszer Duft schlug ihm entgegen; das heimelte ihn an, das roch wie zu Haus der Mutter Weihnachtstube. Mit ⚫ zitternder Hand züendete er sein Licht an; da lag ein mächtiges Paket auf dem Tisch, und als er es öffnete, fielen die wohlbekannten braunen Festkuchen heraus; auf einigen waren die Anfangsbuchstaben seines Namens in Zucker ansgestreut; das konnte niemand anders als Elisabeth gethan haben. Dann kam ein Päckchen mit feiner, gestickter Wäsche zum Vorschein, Tücher und Manschetten, zuletzt Briefe von der Mutter und von Elisabeth. 8. Quite a German poem. 9-10. Translate: Ich lebte still und harmlos das Geschosz GRAMMAR. 1. Discuss, under not more than three heads, the educational value of grammar study. 2. Give accurate and complete definitions of the following: verb, infinitive, preposition, relative pronoun, case, conjugation. 3. Illustrate the various uses of the infinitive. Define and illustrate the factitive, adverbial objective, dative object, objective subject. 4. Use like in four different contructions and parse it in each. He who made the mistake you should talk to, not me. They who do well, I will reward. Let's you and I go. Neither she or I is invited. The band have bought their instruments. 7. Discuss mode, giving outline. 8. Give outline of the verb. 9. 10. Show four grammatical uses of the word as; four of the word but; three of the word so; three of the word that. Analyze the following and parse the italicized words: He looked as though the speed of thought were in his limbs. 1-2. Translate: LATIN. Erant hae difficultates belli gerendi, quas supra ostendimus, sed multa Cæsarem tamen ad id bellum incitabant: iniuriae retentorum equitum Romanorum, rebellio facta post deditionem, defectio datis obsidibus, tot civitatum coniuratio, imprimis ne, hac parte neglecta, reliquae nationes sibi idem licere arbitrarentur. Itaque cum intellegeret, omnes fere Gallos novis rebus studere et ad bellum mobiliter celeriterque excitari, omnes autem homines natura libertati studere et condicionem servitutis odisse, priusquam plures civitates conspirarent, partiendum sibi ac latius distribuendum exercitum putavit. 3. Decline liber, natio, nomen, acer, plus, relative qui. 4. (a) Distinguish between the use of posse and licet. (b) Give the outline for formation of tenses for verbs of the third conjugation, passive voice, indicative and imperative modes. 5. Give constructions for all verbal forms in 1-2. 6. Name five uses of the dative case, seven of the ablative. 7. How is condition expressed in Latin? 8. What cases are used in relative clauses and when? 9. (a) Name the causal conjunctions. (b) What verbs take the infinitive construction? 10. Translate: (a) Even if Cæsar had come, yet we should have been conquered. (b) If your brother says this, it is true. (c) You can easily bear this hardship. (b) Name three English and three American dramatists and a work of each. (c) What is the condition of American drama at present? 2. Give a sketch of the life of Chaucer, tell what influences affected his productions, and the importance of his works. 3. (a) Name the comedies which Shakespeare wrote. 4. (b) In any one of his comedies outline the mental and moral qualities of five of the chief characters. (c) Give a brief statement of Shakespeare's influence upon his immediate suc cessors. What are the chief characteristics of the literature of the Victorian period? 5. Compare the novels of Sir Walter Scott with those of a present day novelist. 6. (a) Name five good magazines and the editor of each. (b) Discuss "yellow journalism" and its influence. 7. Who is William Dean Howells and what does American literature owe to him? 8. 9. How has the West and Middle West influenced American literature? Name ten of the best writers whose productions show this influence. (a) What is a realist? a humanitarian? (b) Name ten authors whose productions have one of these qualities. (c) What can you say of these qualities in the literature preceding the Elizabethan period?' 1. Do you teach written or oral spelling? Give the arguments for each. How do you account for poor spelling? 2. 3. Do you teach diacritical marks? Where? PHYSICS. 1. What is the momentum of a battleship of ten thousand tons steaming 18 knots per hour? 2. (a) Explain the terms foot pound, kilogrammeter, foot-poundal, erg. (b) Give laws of falling bodies. 3. (a) Give Boyle's law. (b) If the barometer stands at 28 inches, what is the elastic tension of the air in dynes per square centimeter? 4. Explain musical interval, scale, gamut, fundamental and overtones, covibration, coincident waves, resonance. 5. A mass of air at 0°, and under an atmospheric pressure of 30 inches, measures 100 cubic inches; what will be its volume at 40°, under a pressure of 28 inches? Define radiant energy, a ray, a shadow, an image, photometry. 6. 7. Draw figure to illustrate spherical aberration of light. Give effects of same. 8. How should 50 cells each with a resistance of 3 ohms be arranged so as to secure the greatest current through a circuit of 30 ohms external resistance? What current strength may be obtained in the foregoing circuit if each cell is of two volts force? 9. (a) Give Ampere's theory of magnetism. 10. (b) Give Ohm's law. Explain construction and use or uses of transformer, induction coil, Crookes tubes, Wheatstone bridge. PHYSIOLOGY. 1. What benefits have been derived from the teaching of scientific temperance? (Do not theorize.) 2. Is the medical inspection of schools feasible in small towns? Is it advisable? What can a teacher do in looking after the health of children? 3. 4. 5. 6. What is the difference between contagious and infectious diseases? Give examples. Name some of the common means by which communicable diseases are spread. Name some of the common disinfectants and tell how they are used. 7. Tell some of the things you teach relative to "first aid to the injured." 8. Explain the art of cooking and the part it plays in health. 9. Give some good rules as to the use and care of clothing. 10. What are some of the common insanitary conditions and sources of disease and what may be done to correct these? RHETORIC. 1. 2. What styles of composition, oral and written, should be required in high school work? Give the chief characteristics of each. How do you correct manuscripts in work in English and what work do you require on the part of pupils after the return of papers? 3. Discuss force, illustrating by reference to standard authors. 4-5. Write a complete description of some picture which appealed to you. 6. Discuss the development and the relative importance of thought and expression. 7. (a) What matters of form should be taught in regard to the paragraph? 8. 9. (b) What things should be taught regarding the devolopment of the paragraph? (a) Name five persons of the present time whom you consider "masters of English " (b) Criticise the current papers and magazines from a rhetorical standpoint. (a) Define scansion, metre, poetry, rhyme, couplet. (b) Define solecism, idiom, figure of speech, climax, syllogism. (c) What qualities of composition are derived from word study? 10. (a) Write the essential form for a business letter, a formal letter of introduction, a friendly letter. (b) What are the chief rhetorical requisites for a good conversationalist? SCHOOL LAW. 1. How many regents of the University, when elected, and for how long? 2. Under what conditions may corporal punishment be inflicted? 3. Give the law in regard to holidays, and in regard to loss of time when school is closed on account of contagious diseases. 4. What is the legal procedure in hiring a teacher? When must the contract be executed? Who are parties to it? 5. Give the chief provisions of the compulsory attendance law. 6. 7. 8. (a) How may a school district library be established? (b) What funds are distributed for the support of libraries? Who fixes the length of the school year and when? What are the powers and duties of the township board of school inspectors? 9. Give powers and duties of the county commissioner of schools. 10. (a) Under what conditions may a graded school district be organized? (b) Give the substance of the law governing the issuing of bonds by a school district. THEORY AND ART. 1. Name a text in psychology, one in school management with which you are familiar. 2. Discuss school sanitation from the standpoint of the teacher. 3. (a) What constitutes professional ethics in the teacher? 4. (b) In what ways do many teachers violate these principles? "A class recitation is a business proposition." Explain fully the foregoing statement. 5. Give three laws of mind and the three corresponding laws of teaching. 6. Can pupils be taught to study? If so, how? 7. How should reading classes be conducted? Give pedagogical reasons. 8. (a) Give five characteristics of a good course of study. (b) What subjects taught in the public schools do you consider practical? 9. (a) Define education. (b) What do you consider the most important work of the teacher? 10. Give the laws of association and illustrate each. UNITED STATES HISTORY. 1. What is the present status of the Panama canal? What is the "canal zone?" How did we secure the right to build this canal on foreign territory? What are the chief difficulties that have developed? 2. Give an outline of history work for the first eight grades. 3. 4. How much use can be made of outside reading in connection with the United States history work? Name some books you have used successfully for collateral reading. What would you say concerning the teaching of dates? Name the dates that you consider pivotal. 5. Trace the origin and development of the two leading political parties of to-day. 6. What is source material? What source material have you used? 7. Make an outline for teaching the causes of the Civil War. 8. 9. What are national banks? What is their place in our government? 10. Give an estimate (not over 200 words) of the life, character, and service of Theodore ZOOLOGY. 1. Give apparatus necessary in a zoological laboratory. Where have you studied this subject? Under what method? 2. What specimens may be secured as typical of each of the following branches: mollusca, vertebrata, orthropoda? 3. If you have examined specimens of the foregoing name them and give your findings. 4. Give the branch to which each of the following belongs: snail, fly, sponge, crayfish, frog. 5. The animal kingdom is divided into protozoa and metazoa. Explain this. 6. Describe the circulatory and digestive systems of the cow. 7. Give the method and history of the development of the butterfly, frog, oyster. 8. Describe the habits, skeleton, plumage of the robin, hawk, quail. 9. Name the injurious insects common in Michigan. Name the insects that are beneficial. 10. Describe as briefly as possible the development of the nervous system in the verte brates. |