By what metric do you propose to hold the teachers accountable? I can tell you my wife was going to take a statistics course, signed up for it, and attended the first class. She dropped it immediately. The course title was Statistics using Excel. The professor stated "they won't be using excel in the course."
That is an excellent example. I'll use to illustrate the concept.
First of all, you need to trust your teacher. The very reason we would want to hire a teacher is because he knows more than we do. There's no way for us to tell if he is a good teacher or not, we can only trust him. If he thinks that Excel is not important for his Statistics course, then he might be right. If we don't trust him on that, we will end up with a teacher who knows less than we do, and then he will teach us something we already knew. And since this will be easy to learn, we'll be happy with the learning process and will recommend the teacher to others.
If we do trust the teacher, we may get into very unconfortable territory where we will have to do some Wax-On/Wax-Off stuff before we gain enough knowledge to see where it's going. Without deep trust to the teacher, this uncomfortable feelings will lead us to belive that the teacher is bad, his teachings are hard, and we better quit and will never recommend this teacher to others.
Statistics is all about understanding data collection, probabilities, distribution etc. Without such understanding, statistic formulae will lead us to all wrong conclusions. Ability to enter few statistical formulae into Excel is nothing compare to the amount of effort that is necessary to gain such unerstanding.
I knew one doctor, who was hired by a city. They had a terrible situation. The number of birth defects was steadily increasing over the years. The city wanted to make a case for air pollution endangering its population. The doctor understood statistics. Instead of jumping to conclusions, he looked at the data collection practices and original cases. Turned out that there was no problem at all. The living standards were rising and what was considered normal 30 years before was now considered a birth defect. He collected his own statistics and came to an opposite conclusion that birth deffect rate are actually decreasing.
Doing calculation wasn't important part of his job, but he really had to spend lots of time putting together numbers and calculating statistics. This took most of his time. There was no Excel back then, but let's assume for a moment that it was. You would've been able to see him spending hours doing statistics in Excel.
If you wanted to replicate his success, you would look at this and said: "That's what it is. That is his skill. I want to learn that and be like him". And you would sign up for the "Statistics with Excel" course. Imagine that at the first day the teacher says that he doesn't really care about Excel, but rather wants to explain the basics of statistics, so that you could understand the concepts. But you don't agree. You've seen doctor using Excel, and that's what you want. That is the skill to learn. So, you go to a different course, and the "bad" teacher gets fired.
I certainly don't know if the situation with your wife was somehow similar to that or not. I've just used it as an example as teaching concepts (such as basics of statistics) gets successfully replaced with teaching skills (using Excel). It actually went so far that there's even no distinction in the dictionary definition.