The Teaching of Mathematics in the United KingdomH.M. Stationery Office, 1912 |
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Σελίδα iii
... present volume is the result of the action taken by the International Congress of Mathematicians at their meeting in Rome in 1908 , when , at the proposal of Dr. David Eugene Smith , Professor of Mathematics in Columbia University , New ...
... present volume is the result of the action taken by the International Congress of Mathematicians at their meeting in Rome in 1908 , when , at the proposal of Dr. David Eugene Smith , Professor of Mathematics in Columbia University , New ...
Σελίδα iv
... present volumes . It is hoped that their publication may contribute towards the diminution of this divergence , a task in which all who are interested in mathematical instruction are eager to co - operate . Though the papers are ...
... present volumes . It is hoped that their publication may contribute towards the diminution of this divergence , a task in which all who are interested in mathematical instruction are eager to co - operate . Though the papers are ...
Σελίδα 12
... present , they must be represented by natural and not mere conventional symbols . If , for instance , a boy were asked to find the diagonal distance across a rectangular garden , 30 yards long and 25 yards wide , and proceeded to draw ...
... present , they must be represented by natural and not mere conventional symbols . If , for instance , a boy were asked to find the diagonal distance across a rectangular garden , 30 yards long and 25 yards wide , and proceeded to draw ...
Σελίδα 14
... present to stand in greatest need of diagrammatic illustration is the theory of fractions . Children of 12 years of ... presents inherent difficulties to the learner , the fact remains that the pupils seem to feel much more at home with ...
... present to stand in greatest need of diagrammatic illustration is the theory of fractions . Children of 12 years of ... presents inherent difficulties to the learner , the fact remains that the pupils seem to feel much more at home with ...
Σελίδα 19
... present should be greatly extended . With the boys the case is not so simple . There is no general occupation which the bulk of the boys will follow when they leave school . Is any deliberate attempt made in the schools to prepare the ...
... present should be greatly extended . With the boys the case is not so simple . There is no general occupation which the bulk of the boys will follow when they leave school . Is any deliberate attempt made in the schools to prepare the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
A. L. Bowley algebra Analytical Geometry applied arithmetic average binomial theorem boys calculus candidates cent centre Certificate chord circle conic course curriculum curve decimal drawing elementary equal equation Euclid examination examples experience factors feet figures formula fractions function Geometry girls give given GRAFTON STREET graph graphical higher Highest Common Factor horizontal hyperbola idea inches knowledge laboratory Leaving Certificate length lessons logarithms Mathematics matics means measurement Mechanics method multiplication obtained ordinary boy paper parabola parallel parallelogram of forces pass perpendicular plane practical Price problems proportion Prove public schools pupils questions radius ratio rectangle right angles rule Science Secondary Schools sides simple solution square stage straight line student syllabus taken tangent taught teachers teaching text-books theorem tion triangle ABC Trigonometry University velocity volume vulgar fractions weight
Δημοφιλή αποσπάσματα
Σελίδα 541 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 594 - Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.
Σελίδα 124 - When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right angles, then the two straight lines are parallel ; and the converse.
Σελίδα 125 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 251 - Square Measure 144 square inches = 1 square foot 9 square feet = 1 square yard...
Σελίδα 542 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Σελίδα 126 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Σελίδα 484 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 175 - The value attached to each question is shown in brackets after the question. But a full and correct answer to an easy question will in all cases secure a larger number of marks than an incomplete or inexact answer to a more difficult one.
Σελίδα 500 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.