Learn how to develop your reasoning skills and how to writewell-reasoned proofs Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills. You'll get clear, concise, easy-to-followinstructions on the process of writing proofs, including thenecessary reasoning techniques and syntax for constructingwell-written arguments. Through in-depth coverage of logic, sets,and relations, Learning to Reason offers a meaningful, integratedview of modern mathematics, cuts through confusing terms and ideas,and provides a much-needed bridge to advanced work in mathematicsas well as computer science. Original, inspiring, and designed formaximum comprehension, this remarkable book: * Clearly explains how to write compound sentences in equivalentforms and use them in valid arguments * Presents simple techniques on how to structure your thinking andwriting to form well-reasoned proofs * Reinforces these techniques through a survey of sets--thebuilding blocks of mathematics * Examines the fundamental types of relations, which is "where theaction is" in mathematics * Provides relevant examples and class-tested exercises designed tomaximize the learning experience * Includes a mind-building game/exercise space atwww.wiley.com/products/subject/mathematics/

Unique in that it collects, presents, and synthesizes cutting edge research on different aspects of statistical reasoning and applies this research to the teaching of statistics to students at all educational levels, this volume will prove of great value to mathematics and statistics education researchers, statistics educators, statisticians, cognitive psychologists, mathematics teachers, mathematics and statistics curriculum developers, and quantitative literacy experts in education and government.

Improve the quality of organizational learning in your school and address how current demands for rapid change and accountability contribute to levels of fear and stress. The author draws on educational, psychological, and neuroscientific research to show how leaders can change the prevailing emotional climate or tone of a school to promote deeper learning at all levels.

Godly Learning attempts to establish the relationship which Puritans worked out between faith and reason in the eighty years before the Civil War. This was a period of rapid expansion of educational facilities, of a clash between humanist values of the Renaissance and the fideism of the Reformation, and of confrontations between traditionalist (primarily Aristotelian) approaches to knowledge and the more experimental path signalled by Bacon. Taking an existential approach to the question of meaning, Puritans sought their solution in the development of a covenant theology based on a life of active faith. They argued vehemently that natural reason was incapable of finding the path to salvation and only faith could regenerate reason to its proper capabilities. At the same time, Puritans emphasised the value of learning for comprehension of Scripture and preparation of sermons. Starting with a fresh approach to the question of defining Puritans, Godly Learning proceeds to delineate the infrequently studied puritan mentalité which informed the better-known public political and ecclesiological positions. Not since the work of Perry Miller has there been such a thorough attempt to comprehend the Puritan view of reason, and the implications of that view.

This book explores the notion of historical literacy, adopts a research-supported stance on literacy processes, and promotes the integration of content-area literacy instruction into history content teaching.

There are many reasons to be curious about the way people learn, and the past several decades have seen an explosion of research that has important implications for individual learning, schooling, workforce training, and policy. In 2000, How People Learn: Brain, Mind, Experience, and School: Expanded Edition was published and its influence has been wide and deep. The report summarized insights on the nature of learning in school-aged children; described principles for the design of effective learning environments; and provided examples of how that could be implemented in the classroom. Since then, researchers have continued to investigate the nature of learning and have generated new findings related to the neurological processes involved in learning, individual and cultural variability related to learning, and educational technologies. In addition to expanding scientific understanding of the mechanisms of learning and how the brain adapts throughout the lifespan, there have been important discoveries about influences on learning, particularly sociocultural factors and the structure of learning environments. How People Learn II: Learners, Contexts, and Cultures provides a much-needed update incorporating insights gained from this research over the past decade. The book expands on the foundation laid out in the 2000 report and takes an in-depth look at the constellation of influences that affect individual learning. How People Learn II will become an indispensable resource to understand learning throughout the lifespan for educators of students and adults.

As technology continues to shift the educational landscape, most K-12 teachers' instructional strategies remain mostly unchanged. Discover how to enhance student learning in online and blended classrooms. This user-friendly resource offers direct guidance on the steps K-12 educators must take to facilitate online learning and maximize student growth using readily available digital tools. Each chapter includes suggestions, tips, and examples tied to pedagogical practices associated with learning online, so you can confidently and fully engage in the best practices with your students. Benefits Use technology tools like online classroom platforms and apps to foster digitally enhanced learning. Understand the benefits of learning online and its advantages over traditional real-world classrooms. Learn how to effectively facilitate digital learning experiences and organize the online learning space in a way that encourages comfort, motivation, and engagement. Study the challenges and opportunities teaching online offers. Gain strategies and examples to help initiate and sustain digital learning while engaging students. Contents Chapter 1: Understanding the Modality and the Moment Chapter 2: Planning Curriculum, Assessment, and Preinstruction Chapter 3: Preparing the Learning Experience Chapter 4: Initiating the Learning Experience Chapter 5: Maintaining the Momentum in the Learning Experience Chapter 6: Teaching Thoughtful Online Collaboration Chapter 7: Managing and Overcoming Toxic Conversations Chapter 8: Concluding the Learning Experience Concluding Thoughts

This title includes the following features: A new volume in the renowned Oxford Cognitive Science Series; Presents important new findings on human reasoning and reasoning skills; Explores the relationship between cognitive and social aspects of communication and reasoning; Trulyinterdisciplinary - accessible to both psychologists and philosophers

Our personal and political worlds are rife with arguments and disagreements, some of them petty and vitriolic. The inability to compromise and understand the opposition is epidemic today, from countries refusing to negotiate, to politicians pandering to their base. Social media has produced a virulent world where extreme positions dominate. There is much demonization of the other side, very little progress is made, and the end result is further widening of positions. How did this happen, and what might be done to address it? Walter Sinnott-Armstrong says there is such a thing as a "good" argument: Reasonable arguments can create more mutual understanding and respect, and even if neither party is convinced by the other, compromise is still possible. Think Again shows the importance of good arguments and reveals common misunderstandings. Rather than a means to persuade other people or beat them in an intellectual competition, Sinnott-Armstrong sees arguments as an essential tool for constructive interaction with others. After showing how the failure of good arguments has led us to society's current woes, he shows readers what makes a good argument. In clear, lively, and practical prose, and with plentiful examples from politics, popular culture, and everyday life, Sinnott-Armstrong explains what defines an argument, identifies the components of good arguments as well as fallacies to avoid, and demonstrates what good arguments can accomplish. Armed with these tools, readers will be able to spot bad reasoning and bad arguments, and to advance their own views in a forceful yet logical way. These skills could even help repair our tattered civic culture.

Deep learning is often viewed as the exclusive domain of math PhDs and big tech companies. But as this hands-on guide demonstrates, programmers comfortable with Python can achieve impressive results in deep learning with little math background, small amounts of data, and minimal code. How? With fastai, the first library to provide a consistent interface to the most frequently used deep learning applications. Authors Jeremy Howard and Sylvain Gugger, the creators of fastai, show you how to train a model on a wide range of tasks using fastai and PyTorch. You’ll also dive progressively further into deep learning theory to gain a complete understanding of the algorithms behind the scenes. Train models in computer vision, natural language processing, tabular data, and collaborative filtering Learn the latest deep learning techniques that matter most in practice Improve accuracy, speed, and reliability by understanding how deep learning models work Discover how to turn your models into web applications Implement deep learning algorithms from scratch Consider the ethical implications of your work Gain insight from the foreword by PyTorch cofounder, Soumith Chintala