A great deal depends on the quality of the teacher. If teachers are also intensely searching for the most comprehensive knowledge possible throughout their lifetime, even their most intensely-searching students will forever lag behind them while the teacher lives. And, if knowledge in the field of study itself is forever expanding, then even the most dedicated learners can never know everything. But, if the teacher stops learning, then, yes, I believe that students can surpass their teachers. And, certainly, this surpassing can happen in specific areas rather than in regard to an entire base of knowledge.
What really matters, in my view, is the dedication of the search on the part of both student and a teacher who also views him- or herself forever as a student. Lucky is the student whose teacher never stops learning and growing with a spirit of humble and earnest inquiry.
Cynthia
I chose to start a new thread because we were straying off topic.
A long time ago, I read an article in Psychology Today. I think the article was called "The mystery of mastery" and it was a study on how people become masters in their chosen field. There were different steps that all budding masters chose, and along the path, there were different teachers as well. The article explained three different stages and three different teachers.
The first stage was what I would call the elementary school through high school level teacher. This teacher was very encouraging, and made the student learn to love their chosen field. Generally budding masters started their craft early, in childhood or early elementary school age. Not always, but that is what the article said. It cited areas like gymnastics, baseball, chess, etc. but not specifically the martial arts. These types of teachers were very encouraging, similar to how teachers are now in commercial type schools.
The second level teacher was much different than the first. The second was a perfectionist, and made the student strive for excellence in all areas of the chosen field. This teacher was important because he/she laid the foundation for the future. I would analogize these types of teachers to college professors, for bachelors and masters degrees. The craft was fine tuned and great strides are made during this period of learning. However, this stage requires a work ethic that not everyone is up for and so many people drop out or stay at lower levels of skill. The high school athlete does not play college ball for example and any attempts to get the person to rise to this level is met with resistance.
The third level teacher takes lessons to a much different level. Study at this stage is mostly self study, in preparation for sessions with the third level teacher. These types of lessons often transcend the physical, and touch in instead on philosophical and other areas of study. I would liken this to Ph.D level or post graduate level studies, which is mostly self directed. Not many pursue their craft to this stage.
Anyway, that was the essence of the mastery article. I still have the article somewhere.
I think in the martial arts, it is difficult to find second and especially third level teachers. You can spot them almost immediately because they tend to think and act differently than first level teachers, in almost every way.
I think that people get upset because they tend to stay with their first level teacher, who may be ill equipped or perhaps not even interested in taking students to upper levels of learning. The high school teacher for example, only wishes to teach high school level students. Some students leave their teachers, angry at being "held back" or whatever, and go on a search for a new teacher, only to discover that the new teacher is much like the original teacher in ability, focus and interest. It does no good to go from one high school level teacher to another. You know when you are in such a school when the curriculum is geared primarily to color belt students, with virtually no curriculum for higher belts.
Other students feel very comfortable with their first level teacher, and stay with them long past the time when they should be seeking out a new teacher. Any attempt to get them to expand beyond the level of their first level teacher's lessons is met with hostility and resentment.
I think the key is that once you reach a certain level, that students, with the permission of the original teacher, seek out higher level teachers. Our high school teachers are willing and able to assist us to get into as good a college as possible. They are, in essence, encouraging us and allowing us to move on to a level of instructor that is perhaps higher than their own. We accept this in regular education, but many martial arts teachers get upset with this concept.
In the past with USTU, the OTC program served as many competitor's second level teacher. An example of a third level teacher would be a pioneer, a kwan jang level practitioner such as GM LEE Chong Woo, someone who transcends dan rank, in every sense of the the concept.