MATHCOUNTS and novice high school students particularly have found it invaluable.
Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks.
The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.
Volume 1 is appropriate for students just beginning in math contests.
Likewise, argumentation is a critical thinking process that does not necessarily involve singular answers, hence the requirement for negotiation in argumentative thought.
Art Of Problem Solving Wiki Debatable Topics For A Research Paper
More specifically, argumentation involves using reasoning to support or refute a claim or idea.
Thinking critically involves being able to criticize information objectively and explore opposing views, eventually leading to a conclusion based on evidence and careful thought.
Critical thinkers are skeptical of information given to them, actively seek out evidence, and are not hesitant to take on decision-making and complex problem solving tasks .
We do not choose political freedom because it promises us this or that.
We choose it because it makes possible the only dignified form of human coexistence, the only form in which we can be fully responsible for ourselves.