## The Teaching of Junior High School Mathematics |

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Ability algebra angle applications arithmetic cent circle computation congruent considered construct courses of study cube curriculum decimal definition demonstrative geometry develop directed numbers discussion drawing drill elementary elementary algebra equal equation examinations example expressed fact figure Flatland formula fractions give given grade graph important inch instruments interest intuitive geometry junior high school lesson magic square material mathe mathematics club Mathematics Teacher matics means measure method metric system monomial multiply nature nonessentials objectives parallelogram plane plane geometry possible practical problems proof propositions protractor prove pupil should understand purpose Pythagorean Theorem quadratic equation question reason rectangle relating right triangle School Science shown side simple Slide Rule solve square standardized tests statement subtraction suggested tangent taught teaching textbook theorem tion topics triangle trigonometry types words write

### Popular passages

Page 28 - If we prove that a2 = ft2 + c* — 2bc cos A , then, however A may change, the law itself will never vary. In it the pupil comes into touch with the unchangeable, with the absolute. It is the same with all other laws of geometry. In any convex polyhedron, whatever its shape, the law remains that the number of faces plus the number of vertices is equal to the number of edges increased by two. "Change and decay in all around I see...

Page 322 - If you want to know whether you are destined to be a success or a failure in life, you can easily find out. The test is simple and it is infallible : Are you able to save money ? If not, drop out. You will lose. You may think not, but you will lose as sure as you live. The seed of success is not in you.

Page 268 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.

Page 65 - Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.

Page 238 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.

Page 9 - To start each pupil on the career which, as a result of the exploratory courses, he, his parents, and the school are convinced...

Page 11 - Proc. Philadelphia: U. of Pa., 1923, p. 277-81. 2461.*Reeve, WD A Diagnostic Study of the Teaching Problems in High School Mathematics. Minnesota, 1924. 2462.*Reeves, CE An Analysis of Janitor Service in Elementary Schools. Teachers College, 1925.

Page 236 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.

Page 291 - Count that day lost whose low descending sun Views from thy hand no worthy action done.

Page 171 - We are now working toward, and fighting for, a world in which the harvest of democracy may be reaped. In order to make the world safe for democracy, we must make democracy safe for the healthy child. In order to ban autocracy, exploitation, and inequality in the world, we must realize that the first inequality in life is that of child and adult.