Some idea of the extent to which mathematics was taught may be gained from certain old exercise books. Some of those, which doubtless belong to the lower schools, dealt with arithmetical exercises, with whole numbers, vulgar and decimal fractions, and commercial arithmetic.[948] Others, clearly more advanced, and doubtless belonging to the Latin school, though some were taught in the English, are chiefly filled with theorems and proven solutions in geometry, trigonometry, conic sections, and spherical trigonometry.[949] This compares quite favorably with the courses suggested in the newspapers, as we have already mentioned. METHOD [Sidenote: Methods] [Sidenote: Catechetical method in religion] [Sidenote: Drill in spelling and writing] [Sidenote: Parsing, double translation in classics] Concerning this topic little is to be added to what has already been suggested in connection with the discussion of the subject matter. Some points of method, of which we are reasonably certain, will be stated. In religious instruction, where the Bible, Penn’s, Barclay’s, Fox’s, and other works were used as the material, a catechetical method was used by parents in the home, by the masters and mistresses in the schools, and in the youths’ meetings, which were always among the first established. This method still prevails to some extent for the young children. Drill in spelling and handwriting has already been mentioned as urged by the overseers in their directions to the masters and mistresses in the Latin and English schools.[950] The chief elements of Latin and Greek instruction were: analysis, parsing, double translation, and the necessary memory drills. The pupils in Proud’s school were also required to speak Latin so far as able to do so. We have also mentioned that in teaching writing the practise was to begin with simple lines, curves, etc., and proceed to the more complex performances.[951] In the majority of subjects “copybooks” were required to be kept. All of these the writer has been privileged to observe, being kept in a very neat and regular fashion.[952] OTHER LITERATURE USED IN THE MEETINGS [Sidenote: Books circulated regularly among meetings] [Sidenote: Usually purchased by the meetings; not always]