The Art Of Problem Solving Volume 2

The Art Of Problem Solving Volume 2-56
That allows you to verify your solutions and also learn a lot more by reading solutions that might approach the problems in different ways than you did.(Just resist the temptation to peek at the solutions before solving or at least working hard on the problems on your own, since you'll learn a lot less if you don't work through them on your own.) If you learn better from oral instruction than just reading a book, there are also videos on the Ao PS site which are associated with each section of the book which you can watch to see Richard Rusczyk explaining the ideas.To get the most out of an Ao PS book (or pretty much any other math book), do the problems. Do the exercises at the end of each section, and the review and challenge problems at the end of each chapter.

That allows you to verify your solutions and also learn a lot more by reading solutions that might approach the problems in different ways than you did.(Just resist the temptation to peek at the solutions before solving or at least working hard on the problems on your own, since you'll learn a lot less if you don't work through them on your own.) If you learn better from oral instruction than just reading a book, there are also videos on the Ao PS site which are associated with each section of the book which you can watch to see Richard Rusczyk explaining the ideas.To get the most out of an Ao PS book (or pretty much any other math book), do the problems. Do the exercises at the end of each section, and the review and challenge problems at the end of each chapter.

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Visit Stack Exchange I just acquired the art of problem solving prealgebra book.

But you should take the time working on the problems and reviewing the material until you can solve most of them.

I would also recommend you get the Solutions Manual which has full, detailed solutions to all the problems, if you don't have it yet.

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A weaker student may prefer a more traditional textbook, to use either instead of or in conjunction with an Ao PS book.

Ao PS books also tend to be less useful as definitive references than traditional textbooks: you will find fewer well-organized statements of important facts and identities and theorems in them (though I think this is more relevant to the more advanced books than it is to Prealgebra). Spend a good chunk of time trying all the problems at the beginning of each section, before you move on to read their solutions.

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