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Common Quote by George Polya

“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…” quote by George Polya
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“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.”

George Polya

About This Quote

Source Book: How to Solve It, 1945

Math education should blend rigorous methods with everyday reasoning, allocating most time to common sense.

In simple terms: Math teaching = method + common sense.

Key Takeaway

Balance technical skill with practical thinking.

Themes

education mathematics pedagogy

Mood

thoughtful instructive

Type

educational philosophical

When to use this quote

  • classroom instruction
  • STEM curricula
  • adult learning programs

Key Concepts

problem solving critical thinking cognitive development

Questions to Reflect On

  • How can teachers measure this balance?
  • What real‑world problems illustrate this blend?
A Different Perspective

Overemphasis on common sense may dilute mathematical rigor.

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