Mathematical Teaching And Its Modern Methods
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Allusions (at least) to perspective, should be made.
Conic sections, in their synthetic form, should precede ana- lytical geometry. The old "Bridge" and his imitators are better than no teaching ; but it is to be hoped that the method of Chasles and Steiner will soon become available. If the teacher has ability, the most important properties of the conic sections can be taught heuHstically by this method, without text-book. It is a very good experiment to try on a strong class of Sophomores.
Th...e teacher's reference-books in geometry may include Chauvenet's Geometry (published by Lippincott), MacDowell's Exercises in Euclid and Modem Geometry (London: Bell), Cremona's Elements of Projective Geometry (Oxford : Clar- endon Press; N. Y. : Macmillan), and the works of Chasles and Steiner, if he understands French and German : Mulcahy's Modem Geometry (Dublin) is also excellent.
PLANE TRIGONOMETRY.
If I have not sufficiently insisted upon measurement before, let me now make amends. Before the pupil takes up this sub- ject, he or she must have a distinct conception of the measure- ment of angles.
What to read after Mathematical Teaching And Its Modern Methods?
You can find similar books in the "Read Also" column, or choose other free books by Truman Henry Safford to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Allusions (at least) to perspective, should be made.
Conic sections, in their synthetic form, should precede ana- lytical geometry. The old "Bridge" and his imitators are better than no teaching ; but it is to be hoped that the method of Chasles and Steiner will soon become available. If the teacher has ability, the most important properties of the conic sections can be taught heuHstically by this method, without text-book. It is a very good experiment to try on a strong class of Sophomores.
Th...e teacher's reference-books in geometry may include Chauvenet's Geometry (published by Lippincott), MacDowell's Exercises in Euclid and Modem Geometry (London: Bell), Cremona's Elements of Projective Geometry (Oxford : Clar- endon Press; N. Y. : Macmillan), and the works of Chasles and Steiner, if he understands French and German : Mulcahy's Modem Geometry (Dublin) is also excellent.
PLANE TRIGONOMETRY.
If I have not sufficiently insisted upon measurement before, let me now make amends. Before the pupil takes up this sub- ject, he or she must have a distinct conception of the measure- ment of angles.
What to read after Mathematical Teaching And Its Modern Methods?
You can find similar books in the "Read Also" column, or choose other free books by Truman Henry Safford to read onlineMoreLess
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