Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.
George PolyaThe best of ideas is hurt by uncritical acceptance and thrives on critical examination.
George PolyaIt is better to solve one problem five different ways, than to solve five problems one way.
George PolyaSolving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice.
George PolyaLook around when you have got your first mushroom or made your first discovery: they grow in clusters.
George PolyaOne of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution.
George Polya