My dad was a school teacher (vocational agriculture at first, then science and math for 7th grade). He became a Junior High principal and collected a few pedagogical chestnuts like this 1849 volume:
Lest the inexperienced teacher lack the necessary pedagogical skills, the author offers suggestions:
As a teacher with decades of experience but still anxious to improve, I shall henceforth assign questions promiscuously, shall require that my students’ answers “be rigidly accurate, as to construction and articulation,” and shall substantially increase the number of italicized words in my own work unless entirely prohibited.
Finally, it should be noted that even in 1849, 100 years before my birth, the better schools were practicing alternative American math in place of the European or Arabic or Chinese versions.