The Reorganization of Mathematics in Secondary Education |
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Page 6
... involves a study of the fundamental laws of algebra and at least a certain minimum of drill in algebraic technique , which , when properly taught , will furnish the foundation for an understanding of the significance of the processes of ...
... involves a study of the fundamental laws of algebra and at least a certain minimum of drill in algebraic technique , which , when properly taught , will furnish the foundation for an understanding of the significance of the processes of ...
Page 7
... involves training in— ( a ) Analysis of a complex situation into simpler parts . This in- cludes the recognition of essential factors and the rejection of the irrelevant . ( b ) The recognition of logical relations between ...
... involves training in— ( a ) Analysis of a complex situation into simpler parts . This in- cludes the recognition of essential factors and the rejection of the irrelevant . ( b ) The recognition of logical relations between ...
Page 20
... involve much beyond monomial and binomial multipli- ers , divisors , and quotients . ( b ) Factoring : The only cases that ... involving the radical sign . A process for finding the square root of a number should be included , but not 20 ...
... involve much beyond monomial and binomial multipli- ers , divisors , and quotients . ( b ) Factoring : The only cases that ... involving the radical sign . A process for finding the square root of a number should be included , but not 20 ...
Page 21
... involving right triangles . ( d ) The use of tables of these functions ( to three or four places ) . The introduction of the elementary notions of trigonometry into the earlier courses in mathematics has not been as general in the ...
... involving right triangles . ( d ) The use of tables of these functions ( to three or four places ) . The introduction of the elementary notions of trigonometry into the earlier courses in mathematics has not been as general in the ...
Page 27
... involving the use of mathematics to extend their work beyond the minimum requirement . The present chapter is intended to suggest for students in general courses the most valuable mathematical training that will appro- priately follow ...
... involving the use of mathematics to extend their work beyond the minimum requirement . The present chapter is intended to suggest for students in general courses the most valuable mathematical training that will appro- priately follow ...
Common terms and phrases
ability aims algebraic technique Analytic geometry angles are equal applications arcs Ball High School Binomial theorem bisector Chapter chord 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.