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Paul Halmos Quotes: It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.
         

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.


Paul Halmos
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Other quotes of Paul Halmos


The only way to learn mathematics is to do mathematics.

The only way to learn mathematics is to do mathematics.



The author discusses valueless measures in pointless spaces.

The author discusses valueless measures in pointless spaces.



The best way to learn is to do; the worst way to teach is to talk.

The best way to learn is to do; the worst way to teach is to talk.



The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.



A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.

A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.



A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I want to learn something new, I make it my first job to build one.

A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I want to learn something new, I make it my first job to build one.



The beginner should not be discouraged if he finds he does not have the prerequisites for reading the prerequisites.

The beginner should not be discouraged if he finds he does not have the prerequisites for reading the prerequisites.



Applied mathematics will always need pure mathematics just as anteaters will always need ants.

Applied mathematics will always need pure mathematics just as anteaters will always need ants.



Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.

Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.



Mathematics - this may surprise or shock some - is never deductive in creation.

Mathematics - this may surprise or shock some - is never deductive in creation.





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The purpose of life is a life of purpose.

The purpose of life is a life of purpose.



The Sun, the Moon, the Stars, the Birds, the Animals, the Flowers, are all proof that a Universal Power exists.

The Sun, the Moon, the Stars, the Birds, the Animals, the Flowers, are all proof that a Universal Power exists.



But he said to me, ‘My grace is sufficient for you, for my power is made perfect in weakness.’ Therefore I will boast all the more gladly about my weaknesses, so that Christ’s power may rest on me.

But he said to me, ‘My grace is sufficient for you, for my power is made perfect in weakness.’ Therefore I will boast all the more gladly about my weaknesses, so that Christ’s power may rest on me.



Clarity within your vibrational energy embraces the journey of your soul giving you clear direction.

Clarity within your vibrational energy embraces the journey of your soul giving you clear direction.



Each one has to find his peace from within. And peace to be real must be unaffected by outside circumstances.

Each one has to find his peace from within. And peace to be real must be unaffected by outside circumstances.



I don't feel too comfortable talking about politics and media as I feel like I don't sound too smart.

I don't feel too comfortable talking about politics and media as I feel like I don't sound too smart.



I can't even get a credit card without three credit bureaus saying I'm good enough.

I can't even get a credit card without three credit bureaus saying I'm good enough.



It's a necessary quality of a diplomat or a politician that he will compromise. Uncompromising politicians or diplomats get you into the most terrible trouble.

It's a necessary quality of a diplomat or a politician that he will compromise. Uncompromising politicians or diplomats get you into the most terrible trouble.



I often say that ... I'm just involved in comedy, so I can be around it.

I often say that ... I'm just involved in comedy, so I can be around it.



The most glaring deficiency in traditional economic models is that they completely ignore the role of context in evaluation.

The most glaring deficiency in traditional economic models is that they completely ignore the role of context in evaluation.




Quote Description


This page presents the quote "It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.". Author of this quote is Paul Halmos. This quote is about knowledge, teaching, facts, duty, teacher, mathematics, particular, students,.