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For anyone interested in the history and effects of the
introduction of so-called "Modern Mathematics" (or "Mathematique
Moderne," or "New Mathematics," etc.) this book, by Dirk De Bock
and Geert Vanpaemel, is essential reading. The two authors are
experienced and highly qualified Belgian scholars and the book
looks carefully at events relating to school mathematics for the
period from the end of World War II to 2010. Initially the book
focuses on events which helped to define the modern mathematics
revolution in Belgium before and during the 1960s. The book does
much more than that, however, for it traces the influence of these
events on national and international debates during the early
phases of the reform. By providing readers with translations into
English of relevant sections of key Continental documents outlining
the major ideas of leading Continental scholars who contributed to
the "Mathematique Moderne" movement, this book makes available to a
wide readership, the theoretical, social, and political backdrops
of Continental new mathematics reforms. In particular, the book
focuses on the contributions made by Belgians such as Paul Libois,
Willy Servais, Frederique Lenger, and Georges Papy. The influence
of modern mathematics fell away rapidly in the 1970s, however, and
the authors trace the rise and fall, from that time into the 21st
century, of a number of other approaches to school mathematics-in
Belgium, in other Western European nations, and in North America.
In summary, this is an outstanding, landmark publication displaying
the fruits of deep scholarship and careful research based on
extensive analyses of primary sources.
This book presents the reader with a comprehensive overview of
the major findings of the recent research on the illusion of
linearity.
It discusses: how the illusion of linearity appears in diverse
domains of mathematics and science; what are the crucial
psychological, mathematical, and educational factors being
responsible for the occurrence and persistence of the phenomenon;
and how the illusion of linearity can be remedied.
The international New Math developments between about 1950 through
1980, are regarded by many mathematics educators and education
historians as the most historically important development in
curricula of the twentieth century. It attracted the attention of
local and international politicians, of teachers, and of parents,
and influenced the teaching and learning of mathematics at all
levels—kindergarten to college graduate—in many nations. After
garnering much initial support it began to attract criticism. But,
as Bill Jacob and the late Jerry Becker show in Chapter 17, some of
the effects became entrenched. This volume, edited by Professor
Dirk De Bock, of Belgium, provides an outstanding overview of the
New Math/modern mathematics movement. Chapter authors provide
exceptionally high-quality analyses of the rise of the movement,
and of subsequent developments, within a range of nations. The
first few chapters show how the initial leadership came from
mathematicians in European nations and in the United States of
America. The background leaders in Europe were Caleb Gattegno and
members of a mysterious group of mainly French pure mathematicians,
who since the 1930s had published under the name of (a fictitious)
“Nicolas Bourbaki.” In the United States, there emerged, during
the 1950s various attempts to improve U.S. mathematics curricula
and teaching, especially in secondary schools and colleges. This
side of the story climaxed in 1957 when the Soviet Union succeeded
in launching “Sputnik,” the first satellite. Undoubtedly, this
is a landmark publication in education. The foreword was written by
Professor Bob Moon, one of a few other scholars to have written on
the New Math from an international perspective. The final
“epilogue” chapter, by Professor Geert Vanpaemel, a historian,
draws together the overall thrust of the volume, and makes links
with the general history of curriculum development, especially in
science education, including recent globalization trends.
For anyone interested in the history and effects of the
introduction of so-called "Modern Mathematics" (or "Mathematique
Moderne," or "New Mathematics," etc.) this book, by Dirk De Bock
and Geert Vanpaemel, is essential reading. The two authors are
experienced and highly qualified Belgian scholars and the book
looks carefully at events relating to school mathematics for the
period from the end of World War II to 2010. Initially the book
focuses on events which helped to define the modern mathematics
revolution in Belgium before and during the 1960s. The book does
much more than that, however, for it traces the influence of these
events on national and international debates during the early
phases of the reform. By providing readers with translations into
English of relevant sections of key Continental documents outlining
the major ideas of leading Continental scholars who contributed to
the "Mathematique Moderne" movement, this book makes available to a
wide readership, the theoretical, social, and political backdrops
of Continental new mathematics reforms. In particular, the book
focuses on the contributions made by Belgians such as Paul Libois,
Willy Servais, Frederique Lenger, and Georges Papy. The influence
of modern mathematics fell away rapidly in the 1970s, however, and
the authors trace the rise and fall, from that time into the 21st
century, of a number of other approaches to school mathematics-in
Belgium, in other Western European nations, and in North America.
In summary, this is an outstanding, landmark publication displaying
the fruits of deep scholarship and careful research based on
extensive analyses of primary sources.
This book presents the reader with a comprehensive overview of
the major findings of the recent research on the illusion of
linearity.
It discusses: how the illusion of linearity appears in diverse
domains of mathematics and science; what are the crucial
psychological, mathematical, and educational factors being
responsible for the occurrence and persistence of the phenomenon;
and how the illusion of linearity can be remedied.
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What If (Paperback)
Dirk De Bock
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R370
R303
Discovery Miles 3 030
Save R67 (18%)
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