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Author: Charles Arthur Coppin
Publisher: MAA
ISBN: 9780883851852
Category : Education
Languages : en
Pages : 262
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Book Description
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.
Author: Charles Arthur Coppin
Publisher: MAA
ISBN: 9780883851852
Category : Education
Languages : en
Pages : 262
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Book Description
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.
Author: Lowell Reid Duren
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Author: Michael V. Rodriguez
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 50
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Book Description
Author: Michael Starbird
Publisher: American Mathematical Soc.
ISBN: 1470462613
Category : Education
Languages : en
Pages : 313
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Book Description
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.
Author: John Parker
Publisher: MAA
ISBN: 9780883855508
Category : Biography & Autobiography
Languages : en
Pages : 406
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Book Description
"Publications of Robert Lee Moore"--P. 359-363.
Author: Ramon E. Moore
Publisher: SIAM
ISBN: 9781611970906
Category : Mathematics
Languages : en
Pages : 190
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Book Description
This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing.
Author: M. Padraig M. M. McLoughlin
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
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Book Description
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.
Author: Jack Moore
Publisher: Lyle Stuart
ISBN: 9780818405792
Category : Sports & Recreation
Languages : en
Pages : 190
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Book Description
Moore draws on his extensive experience as a criminal trial attorney, handling countless gambling cases, to explain betting concepts in easy-to-grasp terms. He uses amusing and memorable anecdotes to reveal the ideas that most successful bookmakers already know.
Author: Will H. Moore
Publisher: Princeton University Press
ISBN: 0691159173
Category : Political Science
Languages : en
Pages : 450
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Book Description
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line "Solution Set") Selected solutions available online to students
Author: Sal Fratantaro
Publisher: Routledge
ISBN: 0429810830
Category : Philosophy
Languages : en
Pages : 154
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Book Description
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.
