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Author : Douglas K. Brumbaugh,Linda Brumbaugh
Publisher : Unknown
Page : 288 pages
File Size : 43,8 Mb
Release : 2012-03-08
Category : Mathematics
ISBN : 0894559036
Author : Doug Brumbaugh,Linda Brumbaugh
Publisher : Unknown
Page : 264 pages
File Size : 43,7 Mb
Release : 2008-03-11
Category : Electronic
ISBN : 1601441827
Author : Peter J. Eccles
Publisher : Cambridge University Press
Page : 366 pages
File Size : 42,9 Mb
Release : 1997-12-11
Category : Mathematics
ISBN : 0521597188
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. 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.
Author : Theodore A. Sundstrom
Publisher : Prentice Hall
Page : 0 pages
File Size : 45,9 Mb
Release : 2007
Category : Logic, Symbolic and mathematical
ISBN : 0131877186
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
Author : V. M. Bradis,L. Minkovskii,A. K. Kharcheva
Publisher : Courier Dover Publications
Page : 224 pages
File Size : 46,9 Mb
Release : 2016-10-28
Category : Mathematics
ISBN : 9780486816579
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.
Author : Warren Hill,Ronald Edwards
Publisher : Unknown
Page : 325 pages
File Size : 42,9 Mb
Release : 2013-07-26
Category : Electronic
ISBN : 1601444141
Author : Carolyn Anderson
Publisher : Unknown
Page : 448 pages
File Size : 52,9 Mb
Release : 2011-09-28
Category : Critical thinking
ISBN : 1601442661
Author : Linda Brumbaugh,Douglas K. Brumbaugh
Publisher : Unknown
Page : 48 pages
File Size : 40,7 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 1601441975
Author : Carolyn Anderson
Publisher : Unknown
Page : 448 pages
File Size : 47,7 Mb
Release : 2013-06-27
Category : Electronic
ISBN : 1601443145
Author : Tamara J. Lakins
Publisher : American Mathematical Soc.
Page : 217 pages
File Size : 50,8 Mb
Release : 2016-09-08
Category : General -- Instructional exposition (textbooks, tutorial papers, etc.)
ISBN : 9781470428990
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.
Author : Douglas K. Brumbaugh,Linda Brumbaugh
Publisher : Unknown
Page : 240 pages
File Size : 44,7 Mb
Release : 2011-01-18
Category : Mathematics
ISBN : 0894558862
Author : Alina Galvão Spinillo,Síntria Labres Lautert,Rute Elizabete de Souza Rosa Borba
Publisher : Springer Nature
Page : 324 pages
File Size : 47,8 Mb
Release : 2021-05-24
Category : Education
ISBN : 9783030696573
This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner’s cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.
Author : Carolyn Anderson
Publisher : Unknown
Page : 384 pages
File Size : 45,5 Mb
Release : 2013-06-27
Category : Electronic
ISBN : 1601446454
Author : Grace Kelemanik,Amy Lucenta,Susan Janssen Creighton
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 48,8 Mb
Release : 2016
Category : Education
ISBN : 0325078157
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.
Author : Denisse Rubilee Thompson,Karren Schultz-Ferrell
Publisher : Math Process Standards
Page : 0 pages
File Size : 49,9 Mb
Release : 2008
Category : Education
ISBN : 0325017336
NCTM's Process Standards support teaching that helps students develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every middle grades math teacher the opportunity to explore each standard in depth. The series offers friendly, reassuring advice and ready-to-use examples to any teacher ready to embrace the Process Standards. In Introduction to Reasoning and Proof, Denisse Thompson and Karren Schultz-Ferrell familiarize you with ways to help students explore their reasoning and support their mathematical thinking. They offer an array of entry points for understanding, planning, and teaching, including strategies for encouraging middle grades students to describe their reasoning about mathematical activities. Thompson and Schultz-Ferrell also provide methods for questioning students about their conclusions and their thought processes in ways that help support classroom-wide learning. The book and accompanying CD-ROM are filled with activities that are modifiable for immediate use with students of all levels customizable to match your specific lessons. In addition, a correlation guide helps you match the math content you teach with the mathematical processes it utilizes. If your students could benefit from more opportunities to develop their reasoning about math concepts, or if you're simply looking for new ways to work the reasoning and proof standards into your curriculum, read, dog-ear, and teach with Introduction to Reasoning and Proof. And if you'd like to learn about any of NCTM's process standards, or if you're looking for new, classroom-tested ways to address them in your math teaching, look no further than Heinemann's Math Process Standards Series. You'll find them explained in the most understandable and practical way: from one teacher to another.