The Reorganization of Mathematics in Secondary Education |
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Page 2
... standard course in the subject . This chapter has close connection with the two chapters which immediately precede it . The statement previously made in our preliminary reports and repeated in Chapter II , that the function concept ...
... standard course in the subject . This chapter has close connection with the two chapters which immediately precede it . The statement previously made in our preliminary reports and repeated in Chapter II , that the function concept ...
Page 12
... standard four - year high school , and to later years in which mathematics may be a required subject . In the case of some elective courses the principle needs to be modified so as to meet whatever specific vocational or technical ...
... standard four - year high school , and to later years in which mathematics may be a required subject . In the case of some elective courses the principle needs to be modified so as to meet whatever specific vocational or technical ...
Page 14
... Standards for teachers . — It is necessary at the outset to make a fundamental distinction between standards in the sense of require- ments for appointment to teaching positions , and standards of sci- entific attainment which shall ...
... Standards for teachers . — It is necessary at the outset to make a fundamental distinction between standards in the sense of require- ments for appointment to teaching positions , and standards of sci- entific attainment which shall ...
Page 15
... standards of scientific attainment to be held by the colleges and normal schools - these institutions should make every effort- 1. To awaken interest in the subject and the teaching of it in as many young people of the right sort as ...
... standards of scientific attainment to be held by the colleges and normal schools - these institutions should make every effort- 1. To awaken interest in the subject and the teaching of it in as many young people of the right sort as ...
Page 17
... standard of attainment here implied is met in a large number of schools , as is shown by various tests now in use ( see Ch . XIII of the complete report ) , and can easily be met generally if time is not wasted on the relatively ...
... standard of attainment here implied is met in a large number of schools , as is shown by various tests now in use ( see Ch . XIII of the complete report ) , and can easily be met generally if time is not wasted on the relatively ...
Common terms and phrases
ability aims algebraic technique Analytic geometry angles are equal applications arcs Ball High School Binomial theorem bisector calculus Chapter chords circle college entrance examination college-entrance requirements complete report concepts congruent connection constructions courses in mathematics definitions demonstrative geometry desirable drill in algebraic E. H. Moore elementary algebra elementary calculus elementary mathematics exponents figures formulas fractional functional fundamental operations geometric progressions graphic representation graphs ideas importance included angle instruction interest intuitive geometry involving J. W. Young junior high school large number linear equations material mathe matics meaning measured methods metic national committee needs numerical trigonometry organization parallel parallelogram parallelopiped perpendicular plane geometry polygon practical present principles problems propositions pupils quadratic equation quadratic function quantities questions recognized recommended relations relationships right triangles secondary education secondary school segments sides significant similar simple solid geometry square straight line student tangent teachers of mathematics teaching theorems tion topics
Popular passages
Page 51 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Page 9 - It must be conceived throughout as a means to an end, not as an end in itself.
Page 52 - The sum of the face angles of any convex polyhedral angle is less than four right angles.
Page 43 - PLANE GEOMETRY: The usual theorems and constructions of good text-books, including the general properties of plane rectilinear figures; the circle and the measurement of angles; similar polygons; areas; regular polygons and the measurement of the circle. The solution of numerous original exercises, including loci problems. Applications to the mensuration of lines and plane surfaces.
Page 40 - A unit represents a year's study in any subject in a secondary school, constituting approximately a quarter of a full year's work.
Page 52 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°.
Page 7 - The acquisition, in precise form, of those ideas or concepts in terms of which the quantitative thinking of the world is done.
Page 16 - We therefore recommend a reorganization of the school system whereby the first six years shall be devoted to elementary education designed to meet the needs of pupils approximately 6 to 12 years of age; and the second six years to secondary education designed to meet the needs of pupils of approximately 12 to 18 years of age.
Page 9 - The primary purposes of the teaching of mathematics should be to develop those powers of understanding and of analyzing relations of quantity and of space which are necessary to an insight into and control over our environment and to an appreciation of the progress of civilization in its various aspects, and to develop those habits of thought and of action which will make these powers effective in the life of the individual.
Page 51 - If two planes are perpendicular to each other, a straight line drawn in one of them , perpendicular to their intersection, is perpendicular to the oth'er.