Watching videos will not necessarily eliminate your misconceptions.
It is much easier to have an individual convey their methodologies to you than for you to authentically comprehend a mathematical problem.
Consider this:
1, 2, 3, 4, 5 - The first five counting numbers. You are taught to operate on them with ease within the elementary-school environment.
However, this is actually a mathematical sequence containing five terms.
It can be expressed as:
C = 1,2,3, C[n] = C[n] + 1, ...
"C" is the actual counting number sequence. "n" is the current term within the sequence. "..." represents an infinite quantity of terms.
The sum of the counting numbers in this sequence is also the series of the sequence.
Yet, this is never taught within the typical setting until much later. Therefore, we must recognize that true problem-solving arises from accurate interpretation of the "problem."
Neither Khan Academy nor the standard environment can necessarily do this. That is why you would likely benefit from self-study involving actual "fluid" problems that require logical-reasoning, rather than simple choice-answer quizzes that can be solved through rote-memorization. |