Do You Agree With This Suggestion?
Pupil errors in the topic of ratios and proportions are due largely to a vague comprehension of the meaning of ratio.... The pupil should be led to see that in dealing with ratios, he may think of them as fractions.
Jasper Hassler & Rolland Smith
Teaching of Secondary Mathematics, 1930
In this same text, the authors made this claim, which seems to counter their previous claim: "Many pupils go through a course in geometry using the word "ratio" over and over without knowing its full meaning. For example, we find them cancelling the B in (AB)/(BC)... (p. 95)