Sequential decision problems arise in virtually every human process. They span finance, energy, transportation, health, e-commerce, and supply chains and include pure learning problems that arise in laboratory or field experiments. They even cover search algorithms to maximize uncertain functions. An important dimension of every problem setting is the need to make decisions in the presence of different forms of uncertainty and evolving information processes. Warren B. Powell's work in sequential decision problems started in the 1980s and spanned rail, energy, health, finance, e-commerce, supply chain management, and even learning for materials science. His work on a wide range of problems highlighted the importance of using a variety of methods. In the process, he came to realize that any sequential decision problem can be modeled using a single universal framework that involves searching over methods for making decisions. The goal of this book is to enable readers to understand how to approach, model and solve a sequential decision problem. To that end, it uses a teach-by-example style to illustrate a modeling framework that can represent any sequential decision problem. It tackles the challenge of designing methods, called policies, for making decisions and describes four classes of policies that are universal in that they span any method that might be used; whether from the academic literature or heuristics used in practice. While this does not mean that every problem can be solved immediately, the framework helps avoid the tendency in the academic literature of focusing on narrow classes of methods.

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level.

This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

China has broadcast its message. Calling on Africa, Australia and South America for resources, on the West for support, and on the world for understanding, its role in the global hierarchy is established yet pivotal. But that communist blink in the Imperial eye should not deceive you. China has a well shod foot in the global door of capitalism.
Western politicians, financiers and consumers have allowed opportunistic strategies to dominate global trade for the ultimate benefit of China. Yet the driving forces behind China's border and expansionary controls are often misunderstood and not fully appreciated.
Mackinnon and Powell show how China is adapting its traditional values and practices to target strategic investments worldwide. Understanding China's very different approaches to problem solving permits an effective engagement with modern China as it seeks competitive advantage globally. The authors contend that both China and the West must acknowledge reciprocal and mutually beneficial obligations - if confrontation is to be averted.

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

The purpose of this book is to dispel misunderstanding about the genesis of the Homeric poems and other knotty problems in oral studies, such as the meaning of "orality," "literacy," "tradition," "memorization," and "text." The study is about the nature and history of writing--how it was used in the Ancient Near East, and especially in Greece, and its relationship to Homer. It suggests that a Semite invented the Greek alphabet, heir to an ancient bilingual Eastern tradition of recording poetry by dictation.

"Writing: Theory and History of the Technology of Civilization" traces the origins of writing tied to speech from ancient Sumer through the Greek alphabet and beyond.
Examines the earliest evidence for writing in Mesopotamia in the fourth millennium BC, the origins of purely phonographic systems, and the mystery of alphabetic writing
Includes discussions of Ancient Egyptian, Chinese, and Mayan writing
Shows how the structures of writing served and do serve social needs and in turn create patterns of social behavior
Clarifies the argument with many illustrations

At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics education within the context of governmental efforts to improve achievement in school mathematics. Culturally Responsive Mathematics Education moves beyond a point of view that is internal to mathematics education as a discipline, and instead offers a broad perspective of mathematics as a significant, liberating intellectual force in our society. The editors of this volume bring together contributions from many of the leading teachers, teacher educators, researchers, scholars, and activists who have been working to reorient mathematics education in ways that reflect mathematics education as accomplished, first and foremost, through human interactions.

This collection brings together classic, previously-published articles and new research to present the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education. The contributors identify several of the field's broad themes -- reconsidering what counts as mathematical knowledge, considering interactions between culture and mathematical knowledge, and uncovering hidden and distorted histories of mathematical knowledge. The book offers a diversity of ethnomathematics perspectives that develop both theoretical and practical issues from various disciplines including mathematics, mathematics education, history, anthropology, cognitive psychology, feminist studies, and African studies written by authors from Brazil, England, Australia, Mozambique, Palestine, Belgium, and the United States.

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

The ancient Greek hymnic tradition translated beautifully and accessibly.  The hymn—as poetry, as craft, as a tool for worship and philosophy—was a vital art form throughout antiquity. Although the Homeric Hymns have long been popular, other equally important collections have not been readily accessible to students eager to learn about ancient poetry. In reading hymns, we also gain valuable insight into life in the classical world. In this collection, early Homeric Hymns of uncertain authorship appear along with the carefully wrought hymns of the great Hellenistic poet and courtier Callimachus; the mystical writings attributed to the legendary poet Orpheus, written as Christianity was taking over the ancient world; and finally, the hymns of Proclus, the last great pagan philosopher of antiquity, from the fifth century AD, whose intellectual influence throughout western culture has been profound. Greek Poems to the Gods distills over a thousand years of the ancient Greek hymnic tradition into a single volume. Acclaimed translator Barry B. Powell brings these fabulous texts to life in English, hewing closely to the poetic beauty of the original Greek. His superb introductions and notes give readers essential context, making the hymns as accessible to a beginner approaching them for the first time as to an advanced student continuing to explore their secrets. Brilliant illustrations from ancient art enliven and enrichen the experience of reading these poems.  

The authors review Chinese values and characteristics using Western strategic thinking to understand the new perspective. This book will enable the global practitioner, Western or Eastern, to develop this new world-view and to avoid only taking leads from global standardization, especially of regulatory and legal environments.

In this new translation of Hesiod, Barry B. Powell gives an accessible, modern verse rendering of these vibrant texts, essential to an understanding of early Greek myth and society. With stunning color images that help bring to life the contents of the poems and notes that explicate complex passages, Powell's fresh renditions provide an exciting introduction to the culture of the ancient Greeks. This is the definitive translation and guide for students and readers looking to experience the poetry of Hesiod, who ranks alongside Homer as an influential poet of Greek antiquity.

The ancient Greek hymnic tradition translated beautifully and accessibly. The hymn-as poetry, as craft, as a tool for worship and philosophy-was a vital art form throughout antiquity. Although the Homeric Hymns have long been popular, other equally important collections have not been readily accessible to students eager to learn about ancient poetry. In reading hymns, we also gain valuable insight into life in the classical world. In this collection, early Homeric Hymns of uncertain authorship appear along with the carefully wrought hymns of the great Hellenistic poet and courtier Callimachus; the mystical writings attributed to the legendary poet Orpheus, written as Christianity was taking over the ancient world; and finally, the hymns of Proclus, the last great pagan philosopher of antiquity, from the fifth century AD, whose intellectual influence throughout western culture has been profound. Greek Poems to the Gods distills over a thousand years of the ancient Greek hymnic tradition into a single volume. Acclaimed translator Barry B. Powell brings these fabulous texts to life in English, hewing closely to the poetic beauty of the original Greek. His superb introductions and notes give readers essential context, making the hymns as accessible to a beginner approaching them for the first time as to an advanced student continuing to explore their secrets. Brilliant illustrations from ancient art enliven and enrichen the experience of reading these poems.

Homer's Iliad is one of the foundational texts of Western Civilization. The timelessness of its story, of men battling fate amidst the horrors of war, still stirs the imaginations of readers year after year. What is offered here is the first translation by someone who is both an eminent scholar and published poet. Based on his thorough familiarity with Homeric language, Powell's free verse translation preserves the clarity and simplicity of the original, while recreating the original feel and sound of the oral-formulaic style. By avoiding the stylistic formality of earlier translations, and the colloquial and sometimes exaggerated effects of recent attempts, he deftly captures and conveys the most essential truths of this vital text. Helpfully included in this edition are a detailed introduction, illustrations, maps, and notes. Modern and pleasing to the ear while accurately reflecting the meaning of the Greek, Powell steers a middle path between the most well-known translations and adds something unique to the canon.

Professor Powell ties the origin and nature of archaic Greek literature to the special technology of Greek alphabetic writing. In building his model he presents chapters on specialized topics - text, orality, myth, literacy, tradition and memorization - and then shows how such special topics relate to larger issues of cultural transmission from East to West. Several chapters are devoted to the theory and history of writing, its definition and general nature as well as such individual developments as semasiography and logosyllabography, Chinese writing and the West Semitic family of syllabaries. He shows how the Greek alphabet put an end to the multiliteralism of Eastern traditions of writing, and how the recording of Homer and other early epic poetry cannot be separated from the alphabetic revolution. Finally, he explains how the creation of Greek alphabetic texts demoticized Greek myth and encouraged many free creations of new myths based on Eastern images.

Among the goals of economic policy is a rising standard of living, and it is generally understood that the means to that end is rising productivity. Productivity relates the quantity of goods and services produced, and the income generated as a result of that production, to the amount of labour required to produce it. The most commonly used measure of the living standard of a nation, is simply the ratio of that income to the total population, without regard to how the income is actually distributed. This book examines the link between productivity and living standards and the trends and proposals in productivity growth.

The culmination of over 30 years of studying and thinking about Homer, world renowned scholar and accomplished poet Barry Powell has produced what one reviewer calls a "page turner, bound to become the new standard." Powell's translation renders the Homeric Greek with a simplicity and dignity reminiscent of the original. Lucid and fast, the text immediately engrosses the reader, with a tight and balanced rhythm that sings and with a closeness to the original that allows the reader to hear the incantatory repetitions in the Greek. More accessible than Lattimore, more poetic than Lombardo, and more accurate than Fagles or Fitzgerald, this translation is an excellent fit for today's students and general readers. With swift, transparent language that rings both ancient and modern, Barry Powell gives readers anew all of the rage, pleasure, pathos, and humor that are Homer's Iliad. His clever translation is simple and energetic: sometimes coarse, sometimes flowing, it is always poetically engaged. Powell lays bare the semantic background of Homer through felicitous phrasing and delivers us a Dark-Age epic, one more suggestive of Norse sagas than the cultural milieu of archaic Ionia. Both the translation and the introduction are consistently informed by the best recent scholarship. The illustrations are well chosen, the maps precise, the notes brief but helpful.