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But what technique did you use?Drakkith said:Hmmm. [Buying textbooks and self-learning] doesn't appear to have been successful with me and my Linear Algebra class.
But what technique did you use?Drakkith said:Hmmm. [Buying textbooks and self-learning] doesn't appear to have been successful with me and my Linear Algebra class.
That would be a forum-type of instruction for a collection of multi-level students. This seems unusual for a normal high school. More common in alternative schools. Best if the students are mature in their behavior and if the courses have been designed as a set of assignments and prescribed readings in advance of the students enrolling in the class.When I was a high school student my math teacher knew us all intimately and planned her classes individually for each of the 10 or 15 of us based on our background and ability. Each student actually had a different assignment with different levels of difficulty.
Drakkith said:I read the book and tried to do the examples and homework problems.
and in a few cases, you need a couple of extra piñatas. ( Your metaphor is not perfectly clear, so not sure if this compares to course repetition or the inclusion of an alternative textbook.)StoneTemplePython said:I seem to recall that you did this as part of a regular course and had to use professor's chosen book and go at professor's pace. Maybe the wrong book? There's a great free book called Linear Algebra Done Wrong, and this forum has a lot of fans of that book that would answer questions over the next few months...
In any case, sometimes with an abstract subject, you need a few swings at the Piñata to get the good stuff out of it.
symbolipoint said:and in a few cases, you need a couple of extra piñatas. ( Your metaphor is not perfectly clear, so not sure if this compares to course repetition or the inclusion of an alternative textbook.)
StoneTemplePython said:I seem to recall that you did this as part of a regular course and had to use professor's chosen book and go at professor's pace.
mathwonk said:If you have transferred from community college to university, your professors are not necessarily less capable, but they are expecting more of you. The result, if you adapt, will be to lift you to a level you would not otherwise have achieved.
The teach by lecturing, and the book, work together, and as complements. The book will always be a static nonchanging outlined discussion which student can read and repeat however he wants. The lecturer, although needs to proceed by an outline, can sometimes change something, show some off-the-page demonstration, interact with students who are present. During the lecture, students can take their own written notes of the students' choosing, for help in understanding later. You see? The lecturing and the book work together and they are complementary.gleem said:...
One final note. A book satisfies the definition of teaching. Prior to he printing press lectures where the only practical way to teach many students at once. So in this day and age with so much available in the form of good quality written material one might suppose that lecturing is an anachronism except for such material that has not made it to the press.
Great, great analogymathwonk said:to me a book is like frozen food that you have to somehow warm up and revitalize to enter your system. A live instructor or good lecturer is like sitting at the chef's table with hot delicious food coming off the grill right into your plate.
This is laboratory or practical demonstration. Very different than a book about the same topic.mathwonk said:to me a book is like frozen food that you have to somehow warm up and revitalize to enter your system. A live instructor or good lecturer is like sitting at the chef's table with hot delicious food coming off the grill right into your plate.
I did not mean to minimize the value of a good teacher and I fully understand the desirability of a good teacher. But as we all know some teacher are no better than poor books. Books are hardly outlines though and usually more detailed than an instructor's lecture. And yes a good instructor should work together with a book.symbolipoint said:The teach by lecturing, and the book, work together, and as complements. The book will always be a static nonchanging outlined discussion which student can read and repeat however he wants. The lecturer, although needs to proceed by an outline, can sometimes change something, show some off-the-page demonstration, interact with students who are present. During the lecture, students can take their own written notes of the students' choosing, for help in understanding later. You see? The lecturing and the book work together and they are complementary.
Most was good, but not all of it.gleem said:I did not mean to minimize the value of a good teacher and I fully understand the desirability of a good teacher. But as we all know some teacher are no better than poor books. Books are hardly outlines though and usually more detailed than an instructor's lecture. And yes a good instructor should work together with a book.
A good book is as engaging as a good instructor. It calls you back to it's pages and delivers enjoyment and you can always revisit it where the lecturer's words are lost forever.
That might say a lot. As someone who went to school part-time I was seldom prepared and tried to rely on my teachers, much as in high school. Didn't work for me.dect117 said:... I should note that I’m also working this semester (15-20 hours/week).
K Murty said:This is the norm in our college, so what we all do is read the book, watch youtube videos and make sure we have done all the problem sets and can redo them faster. Before one week or two going into an exam, I will redo all the problem sets very fast and based on memory and my general understanding that I have been building up.
That is a poor interpretation of the spirit of my post, I have specifically mentioned that I use my memory and general understanding that I have been building up and do them alone, by doing I mean actually working the solution without any help, and of course, if I get stuck I read the book and go back to the theory. I would say the spirit of my post is that.Dr.D said:This seems to hint at memorization, and I think that is counter productive in the long run. Let me suggest an alternative. When you re-work a problem, change the problem statement slightly, so that is is no longer quite the same problem. Be sure that you can think through exactly why you do each step. Memorized solutions will rarely serve you well, either on an well-constructed exam or in life.
@K Murty I like your approach of not being afraid to go back and review something you already solved. IMO, this is one of the keys to academic success= When you look over the subject matter enough times that you can practically do it in your sleep. :)K Murty said:That is a poor interpretation of the spirit of my post, I have specifically mentioned that I use my memory and general understanding that I have been building up. I would say the spirit of my post is that:
The exam is a performance much like a speech or a presentation, the time leading up to the exam is the time to practice and develop your performance, hence one or two week before all exams, I redo all the problem sets to make sure I am able to understand where I am, speed is a factor. In our college unfortunately the professors always try to create a time pressure which means one must be very fast. All of our grade comes from one single exam.
Lastly You cannot do many problems in electrical engineering (my major) with rote memorisation, definitely not the problem sets or even the problems in regular books, it is just impossible! Hence I am amused why you think I am suggesting rote memorisation.
K Murty said:Hence I am amused why you think I am suggesting rote memorisation.