Reasoning, Communication and Connections in Mathematics


Book Description

This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.




The Practice of Argumentation


Book Description

Explores how we justify our beliefs - and try to influence those of others - both soundly and effectively.




Mathematical Thinking and Communication


Book Description

Language is deeply involved in learning mathematics as students both communicate and think about mathematical ideas. Because of this, teachers of English learners have particular challenges to overcome. Mathematical Thinking and Communication addresses perhaps the most significant challenge: providing access to mathematics for these students. For all students-and English learners in particular-access means finding effective, authentic ways to make language clear and thinking visible so they can reason more, speak more, and write more in mathematics. Based on extensive research and collaboration with teachers, coaches, and schools, Mark Driscoll, Johannah Nikula, and Jill Neumayer DePiper outline four principles for designing instruction that creates this kind of access: challenging tasks, multimodal representations, development of mathematical communication, and repeated structured practice. Starting from the perspective that English learners are capable of mathematical thinking (even as they are learning to express their ideas verbally), the authors highlight techniques for using gestures, drawings, models, manipulatives, and technology as tools for reasoning and communication. By embedding these visual representations into instruction-and encouraging their regular use-teachers support engagement in problem solving, facilitate mathematical dialogue, and notice evidence of students' thinking that propels them to create more engaging and equitable instruction. Enhanced by an extensive online collection of companion professional development resources, this book highlights classroom-ready strategies and routines for fostering mathematics success in all students and helping them recognize their potential.




Arguing, Reasoning, and Thinking Well


Book Description

Arguing, Reasoning, and Thinking Well offers an engaging and accessible introduction to argumentation and critical thinking. With a pro-social focus, the volume encourages readers to value civility when engaged in arguing and reasoning. Authors Gass and Seiter, renowned for their friendly writing style, include real-world examples, hypothetical dialogues, and editorial cartoons to invite readers in. The text includes a full chapter devoted to the ethics of argument, as well as content on refutation and formal logic. It is designed for students in argumentation and critical thinking courses in communication, philosophy, and psychology departments, and is suitable for students and general education courses across the curriculum.




The Reasoning Voter


Book Description

The Reasoning Voter is an insider's look at campaigns, candidates, media, and voters that convincingly argues that voters make informed logical choices. Samuel L. Popkin analyzes three primary campaigns—Carter in 1976; Bush and Reagan in 1980; and Hart, Mondale, and Jackson in 1984—to arrive at a new model of the way voters sort through commercials and sound bites to choose a candidate. Drawing on insights from economics and cognitive psychology, he convincingly demonstrates that, as trivial as campaigns often appear, they provide voters with a surprising amount of information on a candidate's views and skills. For all their shortcomings, campaigns do matter. "Professor Popkin has brought V.O. Key's contention that voters are rational into the media age. This book is a useful rebuttal to the cynical view that politics is a wholly contrived business, in which unscrupulous operatives manipulate the emotions of distrustful but gullible citizens. The reality, he shows, is both more complex and more hopeful than that."—David S. Broder, The Washington Post




Problem Solving, Reasoning, and Communicating, K-8


Book Description

Examines in depth how teachers can help foster children's mathematical thinking. Provides practical suggestions, builds on the most recent research, uses case studies, encourages interactive learning, presents challenging problems, discusses the importanct of process-oriented math instruction, demonstrates "writing-to-learn" mathematics




Synthesis


Book Description

Synthesis: Legal Reading, Reasoning, and Communication employs a successful step-by-step approach to effective legal reasoning and writing skills, teaching students how to think like a lawyer: how to read the law, how to reason a client’s situation, and how to write about the case in different legal forms. Maintaining a pedagogy designed to teach students in a variety of ways, the text incorporates numerous charts and diagrams for visual learners. Exercises—based on tort law issues that are particularly accessible to first-year students—provide opportunities for active application of skills. Also included is complete coverage of memo and brief writing. The book is accompanied by a Teacher’s Manual that contains additional exercises based on different areas of the first-year curriculum, suggestions for how to most effectively use the book, and sample syllabi.




Argumentation


Book Description




How to Think in Medicine


Book Description

Mastery of quality health care and patient safety begins as soon as we open the hospital doors for the first time and start acquiring practical experience. The acquisition of such experience includes much more than the development of sensorimotor skills and basic knowledge of sciences. It relies on effective reason, decision making, and communication shared by all health professionals, including physicians, nurses, dentists, pharmacists, and administrators. How to Think in Medicine, Reasoning, Decision Making, and Communications in Health Sciences is about these essential skills. It describes how physicians and health professionals reason, make decision, and practice medicine. Covering the basic considerations related to clinical and caregiver reasoning, it lays out a roadmap to help those new to health care as well as seasoned veterans overcome the complexities of working for the well-being of those who trust us with their physical and mental health. This book provides a step-by-step breakdown of the reasoning process for clinical work and clinical care. It examines both the general and medical ways of thinking, reasoning, argumentation, fact finding, and using evidence. It explores the principles of formal logic as applied to clinical problems and the use of evidence in logical reasoning. In addition to outline the fundamentals of decision making, it integrates coverage of clinical reasoning risk assessment, diagnosis, treatment, and prognosis in evidence-based medicine. Presented in four sections, this book discusses the history and position of the problem and the challenge of medical thinking; provides the philosophy interfacing topics of interest for health sciences professionals including the probabilities, uncertainties, risks, and other quantifications in health by steps of clinical work; decision making in clinical and community health care, research, and practice; Communication in clinical and community care including how to write medical articles, clinical case studies and case reporting, and oral and written communication in clinical and community practice and care.




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