That depends on whether you care if your "understanding" is pretty much correct or just a poor approximation to reality. It could be argued that
any understanding is just an approximation to reality, but some approximations are better than others. For example, in post #24, Colin disputes the claim that Vbe controls Ic, claiming instead that Ib controls Ic. Ratch stands by the Ebers-Moll explanation where Vbe controls Ic.
Both viewpoints are
models of transistor behavior, and neither one is an
exact representation of reality. If we
assume that Vbe is constant (as Colin does) and apply a variable voltage source to the base-emitter junction through a current-limiting resistor, we will find that the the collector current, Ic is approximately equal to Ib multiplied by a constant, hfe or beta. If you then measure the base-emitter voltage, Vbe, you will find that for various collector currents the measured value varies with collector current. It will, in fact, closely follow the Ebers-Moll model. In either case, the
voltage applied to the base-emitter junction is controlling the collector current.
If you want to follow further down the rabbit hole, Alice, you need to
Read This Wikipedia introduction to BJTs. Be sure to check out the references at the end of the article and brush up on your math skills. Math is the language of science. Without it, almost any explanation of reality is just pretty pictures and hand waving, good enough perhaps to satisfy the masses, but useless in predicting what will happen. Hypothesize. Experiment. Measure. Explain. Predict. Wash, rinse, and repeat. That's the "Scientific Method" in a nutshell.
There is absolutely no way to "prove" a theory (an hypothesis). And it takes just one counter-example to dis-prove any theory. Applying the scientific method over long periods of time, using independent investigators testing a particular hypothesis or theory, will lend credence to that theory, but it never proves it. Age simply makes theories that have not yet been dis-proven palatable and acceptable. Who woulda thunk some young upstart German would offer up the General Theory of Relativity as a counter-example to Newtons Three Laws of Motion? And get a Nobel Prize, not for that particular theory, but for a theory of how photoelectrons are produced in matter. Sure, photo-electricity is useful, but without Einstein's General Theory of Relativity there would be no way to pin-point with millimeter accuracy any location on Earth using a simple radio receiver and a constellation of man-made, orbiting, Global Positioning System (GPS) satellites. You want some "interesting" math? Go read up on how that works.
Einstein's work that led to his Nobel Prize ushered in quantum mechanics, probably much to his later dismay because God
does play with dice... and loads them, too... which Albert could never accept. Maybe someone will discover how a Universe seemingly built on chaos and the Second Law of Thermodynamics can evolve a species like us... or maybe the human race is just an anomaly, background noise, of no significance at all.
Good luck with your studies. Electronics is a fascinating adventure.