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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.
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.
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.
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.
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.
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 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.
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.
"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
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. Â
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.
I AM FEARFULLY AND WONDERFULLY MADE provides a biblically based
foundation to understand the eternal Father fearfully and
wonderfully made us in His image and likeness and gave us an
identity so we can fulfill three realities - to God be the glory, I
can do what the word says I can do and by the grace of God I am
what I am. Our identity is uniquely tailored to and woven into His
sacred and holy word. God's word ultimately leads one to believe
God's three realities for humanity. We must understand it is in
these three realities we will find our God-given identify. Our
flesh is probably the greatest challenge our identity has to face
and overcome, especially if we are not used to living our lives
according to God's holy word and three realities for humanity.
Believers who embrace these realities soon begin to walk in the
word, display the power of the word and exercise the authority of
the word. Once we embrace these realities it will cause us to
realize our God-given identity and boldly walk in the fullness and
reality of purpose and destiny that God predestined for us before
the foundation of the world. We can only realize our true identity
in God when we embrace and walk in the three realities. Anthony
(Tony) Powell gave his life to Jesus Christ in July 1999. In His
Image Christian Ministries ordained and commissioned him as an
Elder to teach and preach the word and to administer the
sacraments, ordinances and other church functions. He serves at In
His Image Christian Ministries in various capacities such as Elder,
Teacher, Assistant Director of Christian Education, Evangelism and
Scholarship Ministries. He is also a faculty member and a Prophetic
Presbyter of Another Touch of Glory School of the Prophets.
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.
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