The Little Blue Reasoning Book


Book Description

The Little Blue Reasoning Book helps readers build essential critical thinking, creative thinking, and decision-making skills and is suitable for the everyday student, test-prep candidate, or working professional in need of a refresher course. Interwoven within the book's five chapters -Perception & Mindset, Decision Making, Creative Thinking, Analyzing Arguments, and Mastering Logic - are 50 reasoning tips that summarize the common themes behind classic reasoning problems and situations. Appendixes contain summaries of fallacious reasoning, analogies, trade-offs, and a review of critical reading.




Reasoning About Knowledge


Book Description

Reasoning about knowledge—particularly the knowledge of agents who reason about the world and each other's knowledge—was once the exclusive province of philosophers and puzzle solvers. More recently, this type of reasoning has been shown to play a key role in a surprising number of contexts, from understanding conversations to the analysis of distributed computer algorithms. Reasoning About Knowledge is the first book to provide a general discussion of approaches to reasoning about knowledge and its applications to distributed systems, artificial intelligence, and game theory. It brings eight years of work by the authors into a cohesive framework for understanding and analyzing reasoning about knowledge that is intuitive, mathematically well founded, useful in practice, and widely applicable. The book is almost completely self-contained and should be accessible to readers in a variety of disciplines, including computer science, artificial intelligence, linguistics, philosophy, cognitive science, and game theory. Each chapter includes exercises and bibliographic notes.




Routines for Reasoning


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.




Logical Reasoning


Book Description

This book is designed to engage students' interest and promote their writing abilities while teaching them to think critically and creatively. Dowden takes an activist stance on critical thinking, asking students to create and revise arguments rather than simply recognizing and criticizing them. His book emphasizes inductive reasoning and the analysis of individual claims in the beginning, leaving deductive arguments for consideration later in the course.







Perspectives On Thinking And Reasoning


Book Description

This collection of essays focuses on three reasoning problems devised by Peter Wason - the selection task, the 2-4-6 task, and the THOG problem - which have had a considerable influence since their invention.; The reasons why people make so many errors in these seemingly simple tasks are still not fully understood. A variety of different theoretical perspectives have been used in trying to explain performance. These include the mental models approach, the pragmatic reasoning approach, and the mental logic approach. This book contains chapters which discuss all these theories. Other chapters review the literature or offer alternative theoretical perspectives. A final chapter by Peter Wason describes how he came to create the tasks discussed.




Mathematical Reasoning


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




Boolean Reasoning


Book Description

Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.




Teaching for Thinking


Book Description

Teaching our children to think and reason mathematically is a challenge, not because students can't learn to think mathematically, but because we must change our own often deeply-rooted teaching habits. This is where instructional routines come in. Their predictable design and repeatable nature support both teachers and students to develop new habits. In Teaching for Thinking, Grace Kelemanik and Amy Lucenta pick up where their first book, Routines for Reasoning, left off. They draw on their years of experience in the classroom and as instructional coaches to examine how educators can make use of routines to make three fundamental shifts in teaching practice: Focus on thinking: Shift attention away from students' answers and toward their thinking and reasoning Step out of the middle: Shift the balance from teacher-student interactions toward student-student interactions Support productive struggle: Help students do the hard thinking work that leads to real learning With three complete new routines, support for designing your own routine, and ideas for using routines in your professional learning as well as in your classroom teaching, Teaching for Thinking will help you build new teaching habits that will support all your students to become and see themselves as capable mathematicians.




Reasoning


Book Description

Anthony Simon Laden explores the kind of reasoning we engage in when we live together: when we are responsive to others and neither commanding nor deferring to them. He argues for a new, social picture of the activity of reasoning, in which reasoning is a species of conversation—social, ongoing, and governed by a set of characteristic norms.