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The Moore Method


The Moore Method
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The Moore Method


The Moore Method
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Author : Charles Arthur Coppin
language : en
Publisher: MAA
Release Date : 2009

The Moore Method written by Charles Arthur Coppin and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.


The Moore method is a type of instruction used in advanced mathematics courses that moves away from a teacher-oriented experience to a learner-centered one. This book gives an overview of the Moore Method as practiced by the four authors. The authors outline six principles they all have as goals : elevating students from recipients to creators of knowledge; letting students discover the power of their minds; believing every student can and will do mathematics; allowing students to discover, present and debate mathematics; carefully matching problems and materials to the students; and having the material cover a significant body of knowledge. Topics include establishing a classroom culture, grading methods, materials development and more. Appendices include sample tests, notes and diaries of individual courses.



An Adaptation Of The Moore Method To The Teaching Of Undergraduate Real Analysis


An Adaptation Of The Moore Method To The Teaching Of Undergraduate Real Analysis
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Author : Lowell Reid Duren
language : en
Publisher:
Release Date : 1970

An Adaptation Of The Moore Method To The Teaching Of Undergraduate Real Analysis written by Lowell Reid Duren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.




The Effect Of A Modified Moore Method On Conceptualization Of Proof Among College Students


The Effect Of A Modified Moore Method On Conceptualization Of Proof Among College Students
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Author : Yaser Y. Dhaher
language : en
Publisher:
Release Date : 2007

The Effect Of A Modified Moore Method On Conceptualization Of Proof Among College Students written by Yaser Y. Dhaher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


Research projects have long indicated incompetence in justification of mathematical arguments among students of high school as well as college level. This research sought to understand the mental proof schemes that students possess, and to determine if these schemes progress when the Moore method is used in teaching a mathematics course. This study is significant in two major ways: First, it confirmed the mental schemes of proofs proposed by Harel & Sowder. Second, the study examined the effect of the Moore method on students' learning and appreciation of proofs. Using a qualitative analysis design the study showed that the Moore method has positive affects on students' conceptualization of mathematical proof, their self-confidence in their abilities, their appreciation of the relevance of proofs, and their ability to think autonomously. The Moore method allowed students to experience mathematics first hand. They built a coherent body of knowledge in which they created their own proofs.



The Introductory Moore Method Of Mathematical Instruction And An Alternate Version


The Introductory Moore Method Of Mathematical Instruction And An Alternate Version
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Author : Michael V. Rodriguez
language : en
Publisher:
Release Date : 2003

The Introductory Moore Method Of Mathematical Instruction And An Alternate Version written by Michael V. Rodriguez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.




Inquiry Based Learning


Inquiry Based Learning
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Author : M. Padraig M. M. McLoughlin
language : en
Publisher:
Release Date : 2008

Inquiry Based Learning written by M. Padraig M. M. McLoughlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.


The author of this paper submits that a mathematics student needs to learn to conjecture and prove or disprove said conjecture. Ergo, the purpose of the paper is to submit the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method (MMM) across the mathematics curriculum. The author of this paper has used the MMM in classes including an Introduction to Mathematics (general education liberal arts mathematics required as the minimum class that fulfils the mathematics requirement at Kutztown University of Pennsylvania (KUP)), Fundamentals of Mathematics I & II courses (mathematics for elementary education majors), Calculus I, II, \& III, Set Theory, Linear Algebra, Bridge to Higher Mathematics, Probability and Statistics I & II, Real Analysis I \& II, Topology, Senior Seminar, and Directed Reading. The author of this paper has taught for approximately twenty-five years, much of it at Morehouse College (MC) an historically black liberal arts institution, but now teaches at a comprehensive university in the Pennsylvania State System of Higher Education (PASSHE) where use of the MMM has been met with mixed reception by students and faculty. This paper discusses the techniques used to facilitate learning and the successes or lack thereof of how the methods and materials in the courses taught established a meaningful inquiry-based learning environment, how the method assisted in forging some long-term undergraduate research, and encouraged some undergraduates to delve into research who might not have otherwise embarked on research. So, this paper proposes an approach to mathematics education that centres on exploration, discovery, conjecture, hypothesis, thesis, and synthesis such that the experience of doing a mathematical argument, creating a mathematical model, or synthesising ideas is reason enough for the exercise - - and the joy of mathematics is something that needs to be instilled and encouraged in students by having them do proofs, counterexamples, examples, (informal) arguments, and counter-arguments in any mathematics course. Thus, the MMM used by the author is wholly a derivative of the Moore method and exists because of R. L. Moore, W. H. Mahavier, B. Fitzpatrick, M. Smith, C. Reed, D. Doyle, and other distinguished academics who instructed the author or the author's professors.



First Year Calculus As Taught By R L Moore


First Year Calculus As Taught By R L Moore
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Author : Clement E. Falbo
language : en
Publisher:
Release Date : 2017-09-16

First Year Calculus As Taught By R L Moore written by Clement E. Falbo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-16 with categories.


First Year Calculus as Taught by R. L. Moore facilitates student learning through IBL or Inquiry-Based Learning, the essence of the Moore Method. It is based on notes taken by the author as a student of Dr. Moore's at the University of Texas, Austin in 1955. This text incorporates the pedagogical teaching of mathematics used by Dr. Moore with his own collection of seminal "problems that teach." Designed to stimulate creativity and encourage student presentations of their solutions in the classroom, it is most suitable for smaller classes of about 30 or fewer students. The intention is to minimize lectures by the instructor and to maximize student participation in the learning process. This method has been successfully employed as an effective way to teach mathematics by students of Moore and by their students. With the help of the Educational Advancement Foundation (EAF), mathematicians have been working since the 1980's to implement the Moore Method in universities and colleges, nationwide.



R L Moore


R L Moore
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Author : John Parker
language : en
Publisher: MAA
Release Date : 2005

R L Moore written by John Parker and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Biography & Autobiography categories.


"Publications of Robert Lee Moore"--P. 359-363.



The Methodology Of G E Moore


The Methodology Of G E Moore
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Author : Sal Fratantaro
language : en
Publisher: Routledge
Release Date : 2019-05-23

The Methodology Of G E Moore written by Sal Fratantaro and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-23 with Philosophy categories.


First published in 1998, this scope of this volume is limited to an exegetical and critical study of the methods or means by which Moore tried to render answers to philosophical questions and solutions to philosophical puzzles, rather than any discussion of his metaphysical, epistemological, ethical, and religious views. The author suggests that whilst Moore’s views changed over his career, his methodology has remained much more consistent: the distinction between understanding the meaning of an expression of everyday life or of science and knowing what it means in the sense of being able to provide a correct analysis of its understood meaning.



Moore S Method For The Numerical Solution With Error Analysis Of Ordinary Differential Equations


Moore S Method For The Numerical Solution With Error Analysis Of Ordinary Differential Equations
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Author : John W. McConnochie
language : en
Publisher:
Release Date :

Moore S Method For The Numerical Solution With Error Analysis Of Ordinary Differential Equations written by John W. McConnochie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Topology Through Inquiry


Topology Through Inquiry
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Author : Michael Starbird
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-10

Topology Through Inquiry written by Michael Starbird and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-10 with Education categories.


Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.