Solving Geometric Originals, Τεύχος 146Teachers college, Columbia university, 1924 - 114 σελίδες |
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ability to solve angle base bisects boy and selecting boys and girls Boys Girls Boys cent central tendency combination of elements computed construction exercise construction lines data show desired outcome diagram direct outcomes drawn equal evident exer Exercise 12 Exercise 9 exercises involving expressed feet Freq girl and selecting Girls Boys Girls given and required given circle given elements given line habits hypotenuse identify inscribed angles involving proof lesson assignment limiting conditions mean scores measure of central measure of variability median girl normally distributed original exercises perfect scores perpendicular plane geometry potent probable errors proved pupils in solving quartile reaching the desired Regents Examination relative difficulties required elements right triangle Scores Attained segments selecting the exercise sex difference sex group shown side similar triangles SOLUTION OF EXERCISE Solving Exercise solving originals standard deviations Step study shows teacher testing and rejection tetrachoric theorem tion
Δημοφιλή αποσπάσματα
Σελίδα 93 - If any two chords be drawn through a fixed point within a circle, the product of the segments of one chord is equal to the product of the segments of the other. Given AB and A'B' any two chords passing through fixed point P within O AA'B.
Σελίδα 26 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Σελίδα 3 - Find the product of the segments of a chord drawn through a point 8 in. from the center of a circle whose radius is 10 in. What is the length of the shortest chord that can be drawn through that point ? Ex. 1006. In A abc, 6 = 13, c = 35, and the angle opposite to a equals 120°.
Σελίδα 81 - ... desired outcome (facts or relations to be proved). II. Search for A. Direct outcome of each given element considered alone, and apparent implications of the desired outcome. B. Situations (combinations of elements) which do or would involve known elements, or known elements and the desired outcome. III. Selection of a certain situation because it involves most known elements or the potent elements which give promise of being useful in reaching the desired goal. IV. Utilization of a situation...
Σελίδα 82 - The testing and rejection of a selected situation and its outcomes as of no worth in reaching the desired outcome, or C. The testing and rejection as in B above, followed by drawing of construction lines, providing thereby a new situation which is then tested as in A or B above, etc. V. Verification of conclusions in : A. Problems involving numerical data through interpretation of and checking of results. B. Problems involving construction through consideration of limiting conditions and proof that...
Σελίδα 8 - In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 3 - A line parallel to the base cuts off 2 ft from the lower end of the shorter side. Find the segments of the other side and the length of the parallel.
Σελίδα 8 - The square of either leg of a right triangle is equal to the square of the hypotenuse minus the square of the other leg.
Σελίδα 50 - The most important characteristic of these differences is their small amount. The individual differences within one sex so enormously outweigh the differences between the sexes in these intellectual and semi-intellectual traits that for practical purposes the sex difference may be disregarded.
Σελίδα 12 - A, and 0 the center of the given circle. On OA as a diameter, construct a circumference, intersecting the given circumference in B and C. Then AC and AB are the required tangents.