Should I do all the exercises in a math textbook?

You should do as many exercises as you need to, and you should have sufficient self-awareness in relation to the subject to distinguish between “need” and “want”. Exercises are not an end in themselves. They are a means of learning the subject.

What is the best way to solve a difficult math problem?

Here are a few strategies for dealing with hard problems, and the frustration that comes with them:

1. Do something. Yeah, the problem is hard.
2. Simplify the problem. Try smaller numbers and special cases.
3. Reflect on successes.
4. Focus on what you haven’t used yet.
5. Work backwards.
6. Ask for help.
7. Start early.
8. Take a break.

How many exercises does Hartshorne have?

Finally, the files. So here are the solutions to the 222 exercises in Chapters II and III!

How do you read a math textbook?

There are several appropriate steps in reading a math textbook:

1. Step 1 – Skim the assigned reading material.
2. Step 2 – As you skim the chapter, circle (using pencil) the new words that you do not understand.
3. Step 3 – Put all your concentration into reading.
4. Step 4 – When you get to the examples, go through each step.

What is the hardest math problem to solve?

What are the 7 hardest math problems? 1 The Collatz Conjecture. 2 Goldbach’s Conjecture. 3 The Twin Prime Conjecture. 4 The Riemann Hypothesis. 5 The Birch and Swinnerton-Dyer Conjecture. 6 The Kissing Number Problem. 7 The Unknotting Problem. More

What is the best way to approach geometry problems?

Many problems (particularly geometry problems) have a lot of moving parts. Look back at the problem, and the discoveries you have made so far and ask yourself: “What haven’t I used yet in any constructive way?” The answer to that question is often the key to your next step. Work backwards.

Why do we teach math?

I believe we’re teaching students how to think, how to approach difficult problems, and that math happens to be the best way to do so for many people. The first step in dealing with difficult problems is to accept and understand their importance. Don’t duck them. They will teach you a lot more than a worksheet full of easy problems.

Is it bad to get every problem in a class correct?

If you are consistently getting every problem in a class correct, you shouldn’t be too happy — it means you aren’t learning efficiently enough. You need to find a harder class. The problem with not being challenged sufficiently goes well beyond not learning math (or whatever) as quickly as you can.

https://www.youtube.com/watch?v=O_bVUeQw38c