1. 10

    Mathematics consists in proving the most obvious thing in the least obvious way.

    17
  2. 9

    The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.

    18
  3. 8

    Mathematics is not a spectator sport!

    19
  4. 7

    Geometry is the science of correct reasoning on incorrect figures.

    25
  5. 6

    If there is a problem you can't solve, then there is an easier problem you can't solve: find it.

    28
  6. 5

    Beauty in mathematics is seeing the truth without effort.

    52
  7. 4

    A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem may be modest, but if it challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.

    60
  8. 3

    It is better to solve one problem five different ways, than to solve five problems one way.

    68
  9. 2

    In order to solve this differential equation you look at it until a solution occurs to you.

    70
  10. 1

    Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.

    77
  11. Last Update: 6 February 2023

View the rest 58 George Polya sayings