[Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials, Amer. Math. Monthly, 96, 1989, 592 of 590–602, http://www.maa.org/programs/maa-awards/writing-awards/kathy-oharas-constructive-proof-of-the-unimodality-of-the-gaussian-polynomials]
“Thoroughly to teach another is the best way to learn for yourself.”
Source: A Dictionary of Thoughts, 1891, p. 562.
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Tryon Edwards 57
American theologian 1809–1894Related quotes
“Teach to learn. Watch yourself before you teach.”
Source: The Yellow Book, 1974, p.55
“The best way to teach somebody something is to have them think they're learning something else.”
The Last Lecture (2007)
Context: The best way to teach somebody something is to have them think they're learning something else. I’ve done it my whole career. And the head fake here is that they’re learning to program but they just think they’re making movies and video games.
“By teaching others you will learn yourself.”
Aphorisms
Source: Books, Spiritual Warrior, Volume I: Uncovering Spiritual Truths in Psychic Phenomena (Hari-Nama Press, 1996), Chapter 1: Dreams: A State of Reality, p. 26
“We teach best what we most need to learn.”
Illusions : The Adventures of a Reluctant Messiah (1977)
Variant: You teach best what you most need to learn.
Source: Illusions: The Adventures of a Reluctant Messiah
“The best way to find yourself is to lose yourself in the service of others”
Attributed to Gandhi in Stone, The Full Spectrum Synthesis Bible, iUniverse, 2001. link to Google Books https://books.google.com/books?id=K6NiilgGaqMC&pg=PA168&dq=%22lose+yourself+in+the+service+of+others%22&hl=en&sa=X&ved=0CB0Q6AEwAGoVChMI9pbPuNK_yAIVVMxjCh0RxgLp#v=onepage&q=%22lose%20yourself%20in%20the%20service%20of%20others%22&f=false. However, very similar quotes are found in the nineteenth century:
"Have you sorrows or trials that seem very heavy to bear? Then let me tell you that one of the best ways in the world to lighten and sweeten them is to lose yourself in the service of others ..." from Trine, What All The World's A-Seeking (1896) Google Books link https://books.google.com/books?id=9oM7AAAAYAAJ&pg=PA78&dq=%22lose+yourself+in+the+service+of+others%22&hl=en&sa=X&ved=0CCIQ6AEwAWoVChMIrZvI7tG_yAIVEcVjCh0WsgJW#v=onepage&q=%22lose%20yourself%20in%20the%20service%20of%20others%22&f=false;
"To lose yourself in the service of others may be to truly find yourself" from Usher, Protestantism (1897) Googe Books link https://books.google.com/books?id=kftDAAAAYAAJ&pg=PA43&dq=%22lose+yourself+in+the+service+of+others&hl=en&sa=X&ved=0CBwQ6AEwAGoVChMI4_Ls6NG_yAIVQsdjCh1iSAL7#v=onepage&q=%22lose%20yourself%20in%20the%20service%20of%20others&f=false.
Disputed
“The best of those amongst you is the one who learns the Qur’an and then teaches it to others.”
Al-Amali of Shaykh at-Tusi, Volume 1, Page 5
Shi'ite Hadith