Mathematical Reasoning Beginning 1

Mathematical Reasoning Beginning 1 PDF Author: Douglas K. Brumbaugh
Publisher:
ISBN: 9780894558863
Category : Mathematics
Languages : en
Pages : 240

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Book Description

Mathematical Reasoning Beginning 1

Mathematical Reasoning Beginning 1 PDF Author: Douglas K. Brumbaugh
Publisher:
ISBN: 9780894558863
Category : Mathematics
Languages : en
Pages : 240

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Book Description


Mathematical Reasoning

Mathematical Reasoning PDF Author: Theodore A. Sundstrom
Publisher: Prentice Hall
ISBN: 9780131877184
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0

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Book Description
Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom

Mathematical Reasoning Level B (B/W)

Mathematical Reasoning Level B (B/W) PDF Author: Doug Brumbaugh
Publisher:
ISBN: 9781601441829
Category :
Languages : en
Pages : 264

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Book Description


An Introduction to Mathematical Reasoning

An Introduction to Mathematical Reasoning PDF Author: Peter J. Eccles
Publisher: Cambridge University Press
ISBN: 1139632566
Category : Mathematics
Languages : en
Pages : 364

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Book Description
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Lapses in Mathematical Reasoning

Lapses in Mathematical Reasoning PDF Author: V. M. Bradis
Publisher: Courier Dover Publications
ISBN: 0486816575
Category : Mathematics
Languages : en
Pages : 225

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Book Description
Unique, effective system for teaching mathematical reasoning leads students toward clearly false conclusions. Students then analyze problems to correct the errors. Covers arithmetic, algebra, geometry, trigonometry, and approximate computations. 1963 edition.

Mathematical Reasoning

Mathematical Reasoning PDF Author: Lyn D. English
Publisher: Routledge
ISBN: 1136491074
Category : Education
Languages : en
Pages : 393

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Book Description
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.

Math Analogies Level 1

Math Analogies Level 1 PDF Author: Linda Brumbaugh
Publisher:
ISBN: 9781601441973
Category : Mathematics
Languages : en
Pages : 48

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Book Description


Mathematical Reasoning: The History and Impact of the DReaM Group

Mathematical Reasoning: The History and Impact of the DReaM Group PDF Author: Gregory Michaelson
Publisher: Springer Nature
ISBN: 3030778797
Category : Computers
Languages : en
Pages : 173

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Book Description
This collection of essays examines the key achievements and likely developments in the area of automated reasoning. In keeping with the group ethos, Automated Reasoning is interpreted liberally, spanning underpinning theory, tools for reasoning, argumentation, explanation, computational creativity, and pedagogy. Wider applications including secure and trustworthy software, and health care and emergency management. The book starts with a technically oriented history of the Edinburgh Automated Reasoning Group, written by Alan Bundy, which is followed by chapters from leading researchers associated with the group. Mathematical Reasoning: The History and Impact of the DReaM Group will attract considerable interest from researchers and practitioners of Automated Reasoning, including postgraduates. It should also be of interest to those researching the history of AI.

The Tools of Mathematical Reasoning

The Tools of Mathematical Reasoning PDF Author: Tamara J. Lakins
Publisher: American Mathematical Soc.
ISBN: 1470428997
Category : Mathematics
Languages : en
Pages : 233

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Book Description
This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.

Routines for Reasoning

Routines for Reasoning PDF Author: Grace Kelemanik
Publisher: Heinemann Educational Books
ISBN: 9780325078151
Category : Education
Languages : en
Pages : 0

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Book Description
Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.