- #1
Alpharup
- 225
- 17
Pure math books, in my experience are very hard to read(compared to engineering). An engineering book(in my experience) keeps repeating the same math(high school calculus+some engineering math) again and again. So, after time, the pattern of thinking become more normal. But math books on other hand can become really slow, where you need to understand line-by-line, theorem-by-theorem and proof-by-proof. In this process, a lot of mistakes will be made, a lot of our assumptions will be proven false, a lot of our intuitive imaginations will be just be proven as imaginations. In other words, we make mistakes to learn.
But, I also am seeking video lectures. For engineering, the time spent on watching a lecture and understanding it will be more or less the same as that of reading engineering book itself. But for math, I do certainly find the gap. An hour of lecture may give proper intuition, thinking traps, the direction on what and how to think next and so on...This will be useful because, it saves time from initial understanding of the model by reading alone. Iam not saying that a math grad should watch only videos. What I mean to say is that watching videos will be more time-saving and misunderstandings can be avoided. Iam united in the saying that," Working out problems in math is ultimate guide to mastering it".
But, I do find pitfalls in watching videos. They may help in short-term, but won't they just discourage students from trying? For example, a student may find the concepts of limits intriguing at first but by repeatedly working out on paper, he will definitely avoid misunderstanding sooner or later. He is given an oppurtunity to construct himself, the system. But video leactures, do otherwise. By exposing the student to only "right thinking", "right concepts", "right approach", won't they just spoon-feed the students?
Please help me...
But, I also am seeking video lectures. For engineering, the time spent on watching a lecture and understanding it will be more or less the same as that of reading engineering book itself. But for math, I do certainly find the gap. An hour of lecture may give proper intuition, thinking traps, the direction on what and how to think next and so on...This will be useful because, it saves time from initial understanding of the model by reading alone. Iam not saying that a math grad should watch only videos. What I mean to say is that watching videos will be more time-saving and misunderstandings can be avoided. Iam united in the saying that," Working out problems in math is ultimate guide to mastering it".
But, I do find pitfalls in watching videos. They may help in short-term, but won't they just discourage students from trying? For example, a student may find the concepts of limits intriguing at first but by repeatedly working out on paper, he will definitely avoid misunderstanding sooner or later. He is given an oppurtunity to construct himself, the system. But video leactures, do otherwise. By exposing the student to only "right thinking", "right concepts", "right approach", won't they just spoon-feed the students?
Please help me...