Download or read book Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3 5 written by Carne Barnett-Clarke and published by National Council of Teachers of English. This book was released on 2010 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know… and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to rational numbers, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Download or read book Towards a rational understanding of shear in beams and slabs written by fib Fédération internationale du béton and published by FIB - Féd. Int. du Béton. This book was released on 2018-05-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliable performance of beams and slabs in shear is essential for the safety and also for the serviceability of reinforced concrete structures. A possible failure in shear is usually a brittle failure, which underlines the importance of the correct specification of the load carrying capacity in shear. The knowledge of performance in shear is steadily developing and it is now obvious that older structures were not always designed in accordance with contemporary requirements. The increasing load – mainly on bridges – requires the assessment of existing structures, often followed by their strengthening. An appropriate understanding of actual performance of concrete structures in shear is therefore of primary interest. The workshop which was held in Zürich in 2016 brought together a significant number of outstanding specialists working in the field of shear design, who had a chance to exchange their opinions and proposals for improving the current knowledge of shear behaviour in beams and slabs. The specialists came from different parts of the world, which made the workshop general and representative. The workshop was organised by fib Working Party 2.2.1 “Shear in Beams” (convened by O. Bayrak), which is a part of fib Commission 2 "Analysis and Design". Individual contributions mainly address shear in beams with low transversal reinforcement. It is crucial because many existing structures lack such reinforcement. Different theories, e.g. Critical Shear Crack Theory (CSCT), Modified Compression Field Theory (MCFT), Multi-Action Shear Model (MASM), etc. were presented and compared with procedures used in selected national codes or in the fib Model Code 2010. The models for shear design were often based to a great extent on empirical experience. The refined presented models tend to take into account the physical mechanisms in structures more effectively. A brittle behaviour in shear requires not only to check the equilibrium and failure load, but also to follow the progress of failure, including the crack development and propagation, stress redistribution, etc. The significance of the size effect – which causes the nominal strength of a large structure to be smaller than that of a small structure – was pointed out. Nowadays, the fibre reinforcement is used more than before since it allows significant labour costs savings in the construction industry. The contribution of fibres is suitable for shear transfer. It is very convenient that not only ordinary fibre reinforced elements were addressed but also the UHPFRC beams. The production of this new material is indeed growing, while the development of design recommendations has not been sufficiently fast. Fatigue resistance of structures with low shear reinforcement is also an important issue, which was also addressed in this bulletin. It cannot be neglected in prestressed bridges, which are exposed to dynamic loads. A comprehensive understanding of the shear behaviour is necessary. Although many laboratory experiments are carried out, they are suitable only to a limited extent. New testing methods are being developed and show promising results, e.g. digital image correlation. An actual structure performance should rather be tested on a large scale, ideally on real structures under realistic loading conditions.ii The papers presented in the bulletin are a basis for the discussion in view of the development of updated design rules for the new fib Model Code (MC2020), which is currently under preparation. fib Bulletins like this one, dealing with shear, help to transfer knowledge from research to design practice. The authors are convinced that it will lead to better new structures design of as well as to savings and to a safety increase in older existing structures, whose future is often decided now.
Download or read book Faithfully Seeking Understanding written by Johannes Kuhn and published by CUA Press. This book was released on 2009 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The selections are taken from chapters of Kuhn's books, including his Catholic Dogmatics, and from various articles that appeared in the Tübingen quarterly, Die theologische Quartalschrift. They are arranged according to the following topics: faith and reason; revelation and the personhood of God; responses to Protestant liberalism; theological topics, including grace and freedom, theology and the university; and Catholic fundamental theology. Though diverse in subject, when read together the essays yield a complete theological vision that derives from a carefully constructed theological foundation.
Download or read book Against Empathy written by Paul Bloom and published by HarperCollins. This book was released on 2016-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: New York Post Best Book of 2016 We often think of our capacity to experience the suffering of others as the ultimate source of goodness. Many of our wisest policy-makers, activists, scientists, and philosophers agree that the only problem with empathy is that we don’t have enough of it. Nothing could be farther from the truth, argues Yale researcher Paul Bloom. In AGAINST EMPATHY, Bloom reveals empathy to be one of the leading motivators of inequality and immorality in society. Far from helping us to improve the lives of others, empathy is a capricious and irrational emotion that appeals to our narrow prejudices. It muddles our judgment and, ironically, often leads to cruelty. We are at our best when we are smart enough not to rely on it, but to draw instead upon a more distanced compassion. Basing his argument on groundbreaking scientific findings, Bloom makes the case that some of the worst decisions made by individuals and nations—who to give money to, when to go to war, how to respond to climate change, and who to imprison—are too often motivated by honest, yet misplaced, emotions. With precision and wit, he demonstrates how empathy distorts our judgment in every aspect of our lives, from philanthropy and charity to the justice system; from medical care and education to parenting and marriage. Without empathy, Bloom insists, our decisions would be clearer, fairer, and—yes—ultimately more moral. Brilliantly argued, urgent and humane, AGAINST EMPATHY shows us that, when it comes to both major policy decisions and the choices we make in our everyday lives, limiting our impulse toward empathy is often the most compassionate choice we can make.
Download or read book The Apocalypse Explained According to the Spiritual Sense written by Emanuel Swedenborg and published by . This book was released on 1847 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Causation written by Eric Marcus and published by Harvard University Press. This book was released on 2012-03-20 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: We explain what people think and do by citing their reasons, but how do such explanations work, and what do they tell us about the nature of reality? Contemporary efforts to address these questions are often motivated by the worry that our ordinary conception of rationality contains a kernel of supernaturalism—a ghostly presence that meditates on sensory messages and orchestrates behavior on the basis of its ethereal calculations. In shunning this otherworldly conception, contemporary philosophers have focused on the project of “naturalizing” the mind, viewing it as a kind of machine that converts sensory input and bodily impulse into thought and action. Eric Marcus rejects this choice between physicalism and supernaturalism as false and defends a third way. He argues that philosophers have failed to take seriously the idea that rational explanations postulate a distinctive sort of causation—rational causation. Rational explanations do not reveal the same sorts of causal connections that explanations in the natural sciences do. Rather, rational causation draws on the theoretical and practical inferential abilities of human beings. Marcus defends this position against a wide array of physicalist arguments that have captivated philosophers of mind for decades. Along the way he provides novel views on, for example, the difference between rational and nonrational animals and the distinction between states and events.
Download or read book Rational Numbers written by Thomas P. Carpenter and published by Routledge. This book was released on 2012-10-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain. Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.
Download or read book Essays on Ethics Social Behaviour and Scientific Explanation written by J.C. Harsanyi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Harsanyi came to Stanford University as a candidate for the Ph.D., I asked him why he was bothering, since it was most un likely that he had anything to learn from us. He was already a known scho lar; in addition to some papers in economics, the first two papers in this vol ume had already been published and had dazzled me by their originality and their combination of philosophical insight and technical competence. However, I am very glad I did not discourage him; whether he learned any thing worthwhile I don't know, but we all learned much from him on the foundations of the theory of games and specifically on the outcome of bar gaining. The central focus of Harsanyi's work has continued to be in the theory of games, but especially on the foundations and conceptual problems. The theory of games, properly understood, is a very broad approach to social interaction based on individually rational behavior, and it connects closely with fundamental methodological and substantive issues in social science and in ethics. An indication of the range of Harsanyi's interest in game the ory can be found in the first paper of Part B -though in fact his owncontri butions are much broader-and in the second paper the applications to the methodology of social science. The remaining papers in that section show more specifically the richness of game theory in specific applications.
Download or read book Understanding Contemporary Society written by Gary Browning and published by SAGE. This book was released on 2000-02-11 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Contemporary Society: Theories of the Present is a comprehensive textbook to guide students through the complexities of social theory today. Over 30 chapters, written by an international team of contributors, demonstrate clearly the practical applications of social theory in making sense of the modern world. Students are both introduced to the most significant theories and guided through the major social developments which shape our lives. Key features of the book are: clearly structured and readable prose; bullet pointed summaries and annotated further reading for each topic; makes complex issues accessible to undergraduates; focuses on relevance and practicality; chapter lay-out which is ideal for t
Download or read book The Importance of Being Rational written by Errol Lord and published by Oxford University Press. This book was released on 2018-05-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Importance of Being Rational systematically defends a novel reasons-based account of rationality. The book's central thesis is that what it is for one to be rational is to correctly respond to the normative reasons one possesses. Errol Lord defends novel views about what it is to possess reasons and what it is to correctly respond to reasons. He shows that these views not only help to support the book's main thesis, they also help to resolve several important problems that are independent of rationality. The account of possession provides novel contributions to debates about what determines what we ought to do, and the account of correctly responding to reasons provides novel contributions to debates about causal theories of reacting for reasons. After defending views about possession and correctly responding, Lord shows that the account of rationality can solve two difficult problems about rationality. The first is the New Evil Demon problem. The book argues that the account has the resources to show that internal duplicates necessarily have the same rational status. The second problem concerns the deontic significance of rationality. Recently it has been doubted whether we ought to be rational. The ultimate conclusion of the book is that the requirements of rationality are the requirements that we ultimately ought to comply with. If this is right, then rationality is of fundamental importance to our deliberative lives.
Download or read book The Psychology of Learning Mathematics written by Richard R. Skemp and published by Psychology Press. This book was released on 1987 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Social Theory Re Wired written by Wesley Longhofer and published by Taylor & Francis. This book was released on 2023-06-22 with total page 943 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of Social Theory Re-Wired is a significantly revised edition of this leading text and its unique web learning interactive programs that "allow us to go farther into theory and to build student skills than ever before," according to many teachers. Vital political and social updates are reflected both in the text and the online supplements. "System updates" to each section offer an expanded set of contemporary theory readings that focus on the impacts of information/digital technologies on each of the text’s five big themes: 1) the Puzzles of Social Order, 2) the Social Consequences of Capitalism, 3) the Darkside of Modernity, 4) Subordinated/Alternative Knowledges, and 5) Self-Identity and Society. New to this edition: The "big ideas/questions" thematic structure of the text as well as the connections between classical and contemporary theorists continues to be popular with instructors. This feature is enhanced in the new edition An expanded "Podcast Companions" series now pairs at least one podcast to every reading in the book Many new updates to the exercise platform allow students to theorize and build theory on their own New readings excerpts include such important recent work as: Shoshana Zuboff’s "The Age of Surveillance Capitalism," Ruha Benjamin’s "Race After Technology," David Graeber’s "Of Flying Cars and the Declining Rate of Profit," Sherry Turkle’s “Always-On/Always-on-You.”
Download or read book The History of Thoughts in the Spring and Autumn Period and the Warring States Period written by Li Shi and published by DeepLogic. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the volume of “The History of Thoughts in the Spring and Autumn Period and the Warring States Period” among a series of books of “Deep into China Histories”. The earliest known written records of the history of China date from as early as 1250 BC, from the Shang dynasty (c. 1600–1046 BC) and the Bamboo Annals (296 BC) describe a Xia dynasty (c. 2070–1600 BC) before the Shang, but no writing is known from the period The Shang ruled in the Yellow River valley, which is commonly held to be the cradle of Chinese civilization. However, Neolithic civilizations originated at various cultural centers along both the Yellow River and Yangtze River. These Yellow River and Yangtze civilizations arose millennia before the Shang. With thousands of years of continuous history, China is one of the world's oldest civilizations, and is regarded as one of the cradles of civilization.The Zhou dynasty (1046–256 BC) supplanted the Shang and introduced the concept of the Mandate of Heaven to justify their rule. The central Zhou government began to weaken due to external and internal pressures in the 8th century BC, and the country eventually splintered into smaller states during the Spring and Autumn period. These states became independent and warred with one another in the following Warring States period. Much of traditional Chinese culture, literature and philosophy first developed during those troubled times.In 221 BC Qin Shi Huang conquered the various warring states and created for himself the title of Huangdi or "emperor" of the Qin, marking the beginning of imperial China. However, the oppressive government fell soon after his death, and was supplanted by the longer-lived Han dynasty (206 BC – 220 AD). Successive dynasties developed bureaucratic systems that enabled the emperor to control vast territories directly. In the 21 centuries from 206 BC until AD 1912, routine administrative tasks were handled by a special elite of scholar-officials. Young men, well-versed in calligraphy, history, literature, and philosophy, were carefully selected through difficult government examinations. China's last dynasty was the Qing (1644–1912), which was replaced by the Republic of China in 1912, and in the mainland by the People's Republic of China in 1949.Chinese history has alternated between periods of political unity and peace, and periods of war and failed statehood – the most recent being the Chinese Civil War (1927–1949). China was occasionally dominated by steppe peoples, most of whom were eventually assimilated into the Han Chinese culture and population. Between eras of multiple kingdoms and warlordism, Chinese dynasties have ruled parts or all of China; in some eras control stretched as far as Xinjiang and Tibet, as at present. Traditional culture, and influences from other parts of Asia and the Western world (carried by waves of immigration, cultural assimilation, expansion, and foreign contact), form the basis of the modern culture of China.
Download or read book Language Intelligence and Thought written by Robin Barrow and published by Routledge. This book was released on 2015-06-03 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, first published in 1993, Barrow decisively rejects the traditional assumption that intelligence has no educational significance and contends instead that intelligence is developed by the enlargement of understanding. Arguing that much educational research is driven by a concept of intelligence that has no obvious educational relevance, Dr Barrow suggests that this is partly due to a widespread lack of understanding about the nature and point of philosophical analysis, and partly due to a failure to face up to the value judgements that are necessarily involved in analysing a concept such as intelligence. If intelligence is to be of educational significance, it must be understood in terms that allow it to be educable. Written by a philosopher of education, this study offers a reasoned and extended argument in favour of an original view of philosophical analysis. It focuses on the issue of intelligence from a philosophical perspective. It should be of interest to students of education, philosophy and the philosophy of education alike.
Download or read book Death Penalty Cases written by Barry Latzer and published by Elsevier. This book was released on 2010-10-27 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Death Penalty Cases presents significant verbatim excerpts of death-penalty decisions from the United States Supreme Court. The first chapter introduces the topics discussed throughout the book. It also includes a detailed history of the death penalty in the United States. After this introduction, the remaining eighteen chapters are divided into five parts: Foundational Cases, Death-Eligible Crimes and Persons, The Death Penalty Trial, Post-Conviction Review, and Execution Issues. The first part, consisting of five chapters, talks about the mandatory death penalty, mitigating evidence and racial bias. The next part covers death-eligible crimes, such as rape and other crimes that do not involve homicide and murder. The middle part presents the trial process, from choosing the appropriate decision-makers through the sentencing decision. Followed by this is a chapter focusing on the aftermath of conviction, such as claims of innocence. The book concludes by exploring issues related to execution, such as not executing insane convicts. Finally, execution methods are presented. - Provides the most recent case material--no need to supplement - Topical organization of cases provides a more logical organization for structuring a course - Co-authors with different perspectives on the death penalty assures complete impartiality of the material - Provides the necessary historical background, a clear explanation of the current capital case process, and an impartial description of the controversies surrounding the death penalty - Provides the latest statistics relevant to discussions on the death penalty - Clearly explains the different ways in which the states process death penalty cases, with excerpts of the most relevant statutes
Download or read book The Last Book written by John Williams and published by Lulu.com. This book was released on 2007-08-27 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been many attempts to explain life. For the most part they are variants on a religious or mystical theme. These provide a purpose to life but not the purpose of life. A full, rational explanation of our existence based on our rapidly accumulating scientific knowledge has eluded us - until now. The explanation of life which is offered in this book draws on three main components: evolution, genetics and psychology. However, something exists in our mind which stops us from seeing clearly what is already before us. Once this block is removed we can view life objectively and see it as a special form of information which has arisen through evolution. Information is identified as the unifying entity of the universe which is inherent in the spatial arrangement of matter. This book relates these findings to our world and our lives. It sets out in rational terms where we came from, how we got here and finally, reveals our destiny. www.thelastbook.co.uk
Download or read book Spinoza s Ethics written by Beth Lord and published by Edinburgh University Press. This book was released on 2010-02-28 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything you need to know about Spinoza's Ethics in one volume.The Ethics presents a complete metaphysical, epistemological and ethical world-view that is immensely inspiring. However, it is also an extremely difficult text to read. This book takes readers through the text, stopping at the most perplexing passages to explain key terms, unfold arguments, offer concrete examples and raise questions for further thought. It is designed to be read alongside the Ethics, enabling students to think critically about Spinoza's views and build an understanding of his complex system.
