Author: Douglas K. Brumbaugh
Publisher:
ISBN: 9780894559037
Category : Mathematics
Languages : en
Pages : 288
Book Description
Mathematical Resoning Beginning 2
Author: Douglas K. Brumbaugh
Publisher:
ISBN: 9780894559037
Category : Mathematics
Languages : en
Pages : 288
Book Description
Publisher:
ISBN: 9780894559037
Category : Mathematics
Languages : en
Pages : 288
Book Description
Mathematical Reasoning
Author: Theodore A. Sundstrom
Publisher: Prentice Hall
ISBN: 9780131877184
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0
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
Publisher: Prentice Hall
ISBN: 9780131877184
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0
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)
Author: Doug Brumbaugh
Publisher:
ISBN: 9781601441829
Category :
Languages : en
Pages : 264
Book Description
Publisher:
ISBN: 9781601441829
Category :
Languages : en
Pages : 264
Book Description
An Introduction to Mathematical Reasoning
Author: Peter J. Eccles
Publisher: Cambridge University Press
ISBN: 1139632566
Category : Mathematics
Languages : en
Pages : 364
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.
Publisher: Cambridge University Press
ISBN: 1139632566
Category : Mathematics
Languages : en
Pages : 364
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
Author: V. M. Bradis
Publisher: Courier Dover Publications
ISBN: 0486816575
Category : Mathematics
Languages : en
Pages : 224
Book Description
Designed as a method for teaching correct mathematical thinking to high school students, this book contains a brilliantly constructed series of what the authors call "lapses," erroneous statements that are part of a larger mathematical argument. These lapses lead to sophism or mathematical absurdities. The ingenious idea behind this technique is to lead the student deliberately toward a clearly false conclusion. The teacher and student then go back and analyze the lapse as a way to correct the problem. The authors begin by focusing on exercises in refuting erroneous mathematical arguments and their classification. The remaining chapters discuss examples of false arguments in arithmetic, algebra, geometry, trigonometry, and approximate computations. Ideally, students will come to the correct insights and conclusions on their own; however, each argument is followed by a detailed analysis of the false reasoning. Stimulating and unique, this book is an intriguing and enjoyable way to teach students critical mathematical reasoning skills.
Publisher: Courier Dover Publications
ISBN: 0486816575
Category : Mathematics
Languages : en
Pages : 224
Book Description
Designed as a method for teaching correct mathematical thinking to high school students, this book contains a brilliantly constructed series of what the authors call "lapses," erroneous statements that are part of a larger mathematical argument. These lapses lead to sophism or mathematical absurdities. The ingenious idea behind this technique is to lead the student deliberately toward a clearly false conclusion. The teacher and student then go back and analyze the lapse as a way to correct the problem. The authors begin by focusing on exercises in refuting erroneous mathematical arguments and their classification. The remaining chapters discuss examples of false arguments in arithmetic, algebra, geometry, trigonometry, and approximate computations. Ideally, students will come to the correct insights and conclusions on their own; however, each argument is followed by a detailed analysis of the false reasoning. Stimulating and unique, this book is an intriguing and enjoyable way to teach students critical mathematical reasoning skills.
Math Analogies Level 1
Author: Linda Brumbaugh
Publisher:
ISBN: 9781601441973
Category : Mathematics
Languages : en
Pages : 48
Book Description
Publisher:
ISBN: 9781601441973
Category : Mathematics
Languages : en
Pages : 48
Book Description
Mathematical Reasoning Grades 2-4 Supplement
Author: Warren Hill
Publisher:
ISBN: 9781601444141
Category :
Languages : en
Pages : 325
Book Description
Publisher:
ISBN: 9781601444141
Category :
Languages : en
Pages : 325
Book Description
Mathematical Reasoning Beginning 1
Author: Douglas K. Brumbaugh
Publisher:
ISBN: 9780894558863
Category : Mathematics
Languages : en
Pages : 240
Book Description
Publisher:
ISBN: 9780894558863
Category : Mathematics
Languages : en
Pages : 240
Book Description
The Tools of Mathematical Reasoning
Author: Tamara J. Lakins
Publisher: American Mathematical Soc.
ISBN: 1470428997
Category : General -- Instructional exposition (textbooks, tutorial papers, etc.)
Languages : en
Pages : 217
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.
Publisher: American Mathematical Soc.
ISBN: 1470428997
Category : General -- Instructional exposition (textbooks, tutorial papers, etc.)
Languages : en
Pages : 217
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
Author: Grace Kelemanik
Publisher: Heinemann Educational Books
ISBN: 9780325078151
Category : Education
Languages : en
Pages : 0
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.
Publisher: Heinemann Educational Books
ISBN: 9780325078151
Category : Education
Languages : en
Pages : 0
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.