What do you think the three most important things you should do while reading a math book are?
Mine are: 1. Do calculations. 2. Draw sketches. 3. Take notes.
1.) Don't trust the book blindly 2.) Check if it recent edition 3.) Go back to step 1
1. Open the book. 2. Bake it if it seems like nonsense. 3. Munch it and be happy.
lol
I agree completely with skullpatrol on this.
Not sure I would like to munch a baked book!!!
Not sure means that you would do it one day. xD
OH no!
Practice through the problems Understand the theorums behind the application Review what you have already learned while learning new things
1) understand the proofs 2) Do a lot of exercises. 3) Write notes in the book to clarify so if you pick us the book after a long period of time you can understand the book again in your own words.
Understand the relationship with various entities: sketches if appropriate or write the equations. Review any examples given. Lots of practice using the new concepts.
reread it
Always be thinking of how you would explain the material to someone else. If you can explain it to someone else, you probably have a good depth of understanding.
I find definitions are where you MUST start. Jumping into problems is not good if you don't have a base understanding of why you are doing these problems and what these problems try to illustrate as a mathematical principle. Once you get the principles, the methods start to apply. A method is better than doing a question per se, because it guides you for many types of questions. So you should be asking yourself, how do I solve questions of this type? This way you train yourself to identify the type of question and method required, saving you a lot of time. Of course you must apply these principles and methods by doing questions, both work hand in hand. In some cases you may find more than one working method, and this is a good thing, applying different skills to solve a question. Then have in mind the intricacies of questions, there might be small things you must remember to bear in mind, special cases or shortcuts that will help you if you remember those. And get used to layout and showing your working. Once you understand the method, the working becomes more straight forward.
Anticipate so that you will be interested when you guess wrong and connecting your knowledge to something new when you guess right.
understand the motivations understand the methods understand the details
1) read everything nicely and grasp all the concepts(try to prove the theorems/stuff explained in the book with your reasoning before you read the method stated in the book) 2) make short notes of all the important formulas and theorem related stuff so that you can revise the whole chapter quickly whenever you want to 3)solve all of the illustrations and all the exercises given in the book
Calculations will help you synthesize. Drawing sketches will help you visualize. Taking notes will help you scrutinize.
Write down all of their examples and note every step in detail * -*
please do not provide answers, only guide the person
lol
Be impatient. Be impolite. Be mean. Be an understand-it-all rather than a know-it-all, which is what you should be after you have accomplished the former. Be alive: Visualize every mathematical idea, making sure that you incorporate all the idea's facts in the visualization. Finally, don't feel whilst learning mathematics; just think, and think BIG.
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