"The method of instruction by question and answer possesses many advantages over any other, and is not only the very best and shortest, but the most satisfactory. In this system the deficiencies of each scholar becomes manifest, and the teacher knows to what particular points he must direct his explanations. There is no time for inattention or wandering; the question and necessity for reply compel attention and recollection. The children, if the teacher proceed with conciliatory firmness, acquire lively interest in the lesson, for each is particularly addressed and brought forward with action."[27]
The late Bishop Fuller, who was also one of Dr. Strachan's pupils, also states that:—
"He had a remarkable talent for interesting boys in their work; and, by taking a deep interest in it himself, he led them to do the same. He was very original in many of his plans for promoting the good of his school. Amongst others, which I never met with elsewhere, was one of making the boys question one another on certain of the lessons. This made the boys quick at seizing on the leading points in the lessons, ready at shaping questions, and deeply interested in the questions and answers. The Bishop took as deep an interest in the questioning and answering of the boys as they did themselves; and thus this plan, whilst it was of great service to the boys in various ways, tended strongly to bind master and scholars together."[28]
As to his method of teaching arithmetic, he explains it in the following words:
"In a new country like this, a variety of branches must be taught in every respectable school. Young men ... are anxious to get forward as fast as possible, and even those destined for the learned professions are seldom allowed the time requisite for acquiring the knowledge previously necessary. These considerations induced me to turn my thoughts to the discovery of some sure, and at the same time, expeditious method of teaching arithmetic. This object I have accomplished with a much greater degree of success than I dared to promise myself.
"I divide my pupils into separate classes according to their progress. Each class has one or more sums to produce every day, neatly wrought upon their slates. The work is carefully examined, after which I command every figure to be blotted out, and the sums to be wrought under my eye. The one whom I happen to pitch upon first gives, with an audible voice, the rules and reasons for every step, and as he proceeds the rest silently work along with him figure for figure, but ready to correct him if he blunder that they may get his place. As soon as this one is finished, the work is again blotted out and another called upon to work the question aloud as before, while the rest proceed along with him in silence, and so on round the whole class.... This method of teaching arithmetic possesses this important advantage, that it may be pursued without interrupting the pupils' progress in any other useful study. The same method of teaching Algebra has been used with equal success. Such a plan is certainly very laborious, but it will be found successful, and he that is anxious to spare labor ought not to be a public teacher."[29]
Desiring to give a local interest to the exercises in his book, Dr. Strachan gave several examples from Canadian subjects. Thus a question is addition reads:—
"From Quebec to Montreal is 180 miles—from thence to Kingston 200—from thence to York 149—from thence to Niagara 78 miles—from thence to Detroit, 210. Required the distance from Quebec to Detroit. Answer—317 miles."
Again a question in multiplication reads:—
"The distance from Quebec to Montreal is 180 miles, supposing the road 17 yards broad, how many square yards does it contain? Answer—5,385,600 yards."