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LEGACY Carol S. Schumacher Kenyon College SchumacherC@kenyon.edu

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R. L. Moore and Associates H.S. WallH. J. Ettlinger R. L. Moore

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R. L. Moore and Associates Carol Schumacher John Neuberger Robert Eslinger H.S. Wall H. J. Ettlinger

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Legacy something transmitted by or received from an ancestor or predecessor or from the past Merriam Webster

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The Moore Plan Moores Objective: To train students to do research in pure mathematics. Moores Primary Tactic: Hand-picking his students: finding and developing (creative) mathematical talent and enthusiasm, often where it was not before known to exist Moore was very tenacious: Once he set his sites on a student, that students fate was pretty much sealed.

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Features of Moores Method 1.Selection of students capable of coping with the type of material to be studied. 2.Controlling size of group: 4-8 students. 3.Injection of the proper amount of intuitive material, as an aid in the construction of proofs. 4.Insistence, by the students themselves, on rigorous proof and extreme clarity. 5.Encouragement, even promotion, of competition among the students. R. L. Wilder From an address: quoted in R. L. Moore, Mathematician and Teacher by John Parker, pgs. 216-217.

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Moores Rules and Mores Students prove theorems; present their proofs in class No textbooks for the course; no outside sources consulted No external help; no discussion of problems outside of class Students criticize weaknesses or inaccuracies in presented proofs There was no attempt to cater to the average student. The pace was set by the most talented. (R.L. Wilder)

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No books, no lectures no outside sources, just you... There is a lot of misunderstanding

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Thats interesting. I just dont see how its teaching. ---An award-winning Physics Professor from CalTech Explaining what I do

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Modified Moore Methods Only one person has ever taught by The Moore Method and that person is R. L. Moore.

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Core of the Moore Method I think that the substance of [Moores] successful teaching was largely his interest in the development of ideas, intellectual ideas, mathematical ideas, on the part of his students. R. D. Anderson

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Basic Assumptions 1.My main job as a teacher is to work towards the goal of making my students independent of me. Ideally, this means that I must... 2.Elevate my students from recipients to creators of knowledge. 3.Virtually all students can do mathematics, if given the time they need to wrestle with mathematical ideas.

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Ways and Means Give students the time to discover, present, and debate mathematics ; let them recognize the power of their minds.

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Us Our students! 10,000 hours

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Ways and Means Have students responsible for moving the class forward by having them tackle mathematics that is both significant and central.

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Ways and Means Carefully match problems and material to students; make challenges vary widely in difficulty so that all students can both succeed and be stretched mathematically.

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Features of Moores Method 1.Selection of students capable of coping with the type of material to be studied. 2.Controlling size of group: 4-8 students. 3.Injection of the proper amount of intuitive material, as an aid in the construction of proofs. 4.Insistence, by the students themselves, on rigorous proof and extreme clarity. 5.Encouragement, even promotion, of competition among the students. R. L. Wilder From an address: quoted in R. L. Moore, Mathematician and Teacher by John Parker, pgs. 216-217.

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Features of Moores Method 1.Selection of students capable of coping with the type of material to be studied. 2.Controlling size of group: 4-8 students. 3.Injection of the proper amount of intuitive material, as an aid in the construction of proofs. 4.Insistence, by the students themselves, on rigorous proof and extreme clarity. 5.Encouragement, even promotion, of competition among the students. R. L. Wilder From an address: quoted in R. L. Moore, Mathematician and Teacher by John Parker, pgs. 216-217.

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Features of Moores Method 1.Selection of students capable of coping with the type of material to be studied. 2.Controlling size of group: 4-8 students. 3.Injection of the proper amount of intuitive material, as an aid in the construction of proofs. 4.Insistence, by the students themselves, on rigorous proof and extreme clarity. 5.Encouragement, even promotion, of competition among the students. R. L. Wilder From an address: quoted in R. L. Moore, Mathematician and Teacher by John Parker, pgs. 216-217.

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A Different Shaped Fence What Moore did when he had a group of people in class was to go through a kind of group learning exercise with Moore, the teacher, in control. I know that Moore did not believe in cooperative learning... but I think many of Moores teaching techniques can be done formally using cooperative learning... as an alternative [to] the highly competitive [environment that] he generated in class. R. D. Anderson From an interview: quoted in R. L. Moore, Mathematician and Teacher by John Parker, pgs. 216-217.

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Why teach using the Moore Method? Who is it for? Paul R. Halmos

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Mathematicians! H. J. Ettlinger H.S. Wall R. L. Moore 50 Ph.D. students 2750 Descendants 66 Ph.D. students 370 Descendants 27 Ph.D. students 398 Descendants Moore was elected to the National Academy of Sciences, as were three of his studentsR.H. Bing, G.T. Whyburn, and R. L. Wilder.

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Service to the Profession President of AMS 1937-1938 R. H. Bing 1977-1978 R.L. Wilder 1955-1956 G.T. Whyburn 1953-1954

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Presidents of the MAA R.D. Anderson 1981-1982 Lida K. Barrett 1989-1990 R. H. Bing 1963-1964 R.L. Wilder 1965-1966 E.E. Moise 1967-1968 G. S. Young 1969-1970

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And theres more… (Vice President of AMS) x 2 Associate Secretary and then Secretary of the AMS for 17 years. Treasurer of the AMS (Distinguished service award from MAA) x 3 Several editors and associate editors of major journals of the AMS Lester R. Ford Award Chauvenet Prize Numerous Department chairs, some for many years.

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Legacy (15 th Century)--A body of persons sent on a mission.---Oxford English Dictionary

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Ben Fitzpatrick Albert Lewis Harry Lucas Ron Douglas John Neuberger

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Ted Mahavier Lee and Bill Mahavier Jean Mahavier

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Ted Mahavier Lee and Bill Mahavier Jean Mahavier Judy Kennedy Ed Parker

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Bob EslingerMike StarbirdTed Odell Ed Burger

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Teena CarrollJudy Holdener Marie SnipesEric Kahn

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Gavin Larose Judith Covington Ron Taylor Jackie Jensen Stan Yoshinobu

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