> Without realizing it, he was doing algebra. A friend of mine taught remedial math at UW to incoming freshmen. She would write: x + 2 = 5 on the blackboard and ask a student "what is the value of x?" The student would see the x, and immediately respond with x means algebra, algebra is hard, I cannot do algebra. So she started writing: _ + 2 = 5 and ask the student to fill in the blank. "Oh, it's 3!"
One of my school math teacher had the same approach in another way: We were expected to use greek letters, not latin ones.
Same reasoning: It showed us kiddos that the letter was insignificant compared to the concept expressed by the letter.
So my take would be: Your friend taught the students for the first time what they were actually doing while handling equations with "a letter in it". That is no problem of algebra in itself. It just means their previous teachers sucked.