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BACOMET cannot be evaluated solely on the basis of its
publications. It is important then that the reader, with only this
volume on which to judge both the BACOMET activities and its major
outcome to date, should know some thing of what preceded this
book's publication. For it is the story of how a group of
educators, mainly tutors of student-teachers of mathematics, com
mitted themselves to a continuing period of work and
self-education. The concept of BACOMET developed during a series of
meetings held in 1978-79 between the three editors, Bent
Christiansen, Geoffrey Howson and Michael Otte, at which we
expressed our concern about the contributions from mathematics
education as a discipline to teacher education, both as we observed
it and as we participated in it. The short time which was at the
teacher-educator's disposal, allied to the limited knowledge and
experience of the students on which one had to build, raised
puzzling problems concerning priorities and emphases. The
recognition that these problems were shared by educators from many
different countries was matched by the fact that it would be
fruitless to attempt to search for an internationally (or even
nationally) acceptable solution to our problems. Different contexts
and traditions rule this out."
I. Some Characteristic Features of the Passage From the 18th to the
19th Century 1. The following notes grew out of reflections which
first led us to send out invitations to, and call for papers for,
an interdisciplinary workshop, which took place in Bielefeld from
27th to 30th November, 1979. The status and character of this
preface is therefore somewhat ambiguous: on the one hand it does
not comment extensively on the articles to follow, on the other
hand it could not have been conceived and written in the way it was
without knowledge of all the contributions to this volum- which
contains revised editions of papers for the workshop - nor without
the cooperation of the participants in the above mentioned
symposium. Furthermore, although the following may sound slightly
programmatic and summary, we hope that it will be sufficiently
explicit to provide some key words and concepts useful for further
scholarly work. Perhaps the most important result of our efforts is
the very structure of these notes: it is aimed at providing
methodological orientations for the investigation of what turned
out to be a very peculiar period in the history of science. xi H.
N. Jahnke and M. Otte (eds.), Epistemological and Social Problems
of the Sciences in the Early Nineteenth Century, xi-xlii. Copyright
(c) 1981 by D. Reidel Publishing Company. xii H. N. JAHNKE ET AL.
Divided between two military alliances, Europe has maintained
stability based on political status quo and military power balance.
However, European states-including neutral and nonaligned
countries-have felt a need for a common policy to guarantee their
security, and the Conference on Security and Cooperation in Europe
(CSCE) was convened to address this concern. Ten years later, the
authors of this study find that the outlines of a European security
regime are indeed discernible. The conference in Helsinki initiated
efforts for negotiated and controlled change in Europe.
Contributors to this volume analyze the achievements of CSCE,
consider more recent models of collective or common security
systems, and deal with political and military processes at work in
Europe as well as relationships with great powers and the Third
World. The role of Western Europe, and particularly Finland's role
as an initiator of the CSCE process, receives special attention.
Documentation of the tenth anniversary meeting and the CSCE process
in general are also included.
Divided between two military alliances, Europe has maintained
stability based on political status quo and military power balance.
However, European states-including neutral and nonaligned
countries-have felt a need for a common policy to guarantee their
security, and the Conference on Security and Cooperation in Europe
(CSCE) was convened to address this concern. Ten years later, the
authors of this study find that the outlines of a European security
regime are indeed discernible. The conference in Helsinki initiated
efforts for negotiated and controlled change in Europe.
Contributors to this volume analyze the achievements of CSCE,
consider more recent models of collective or common security
systems, and deal with political and military processes at work in
Europe as well as relationships with great powers and the Third
World. The role of Western Europe, and particularly Finland's role
as an initiator of the CSCE process, receives special attention.
Documentation of the tenth anniversary meeting and the CSCE process
in general are also included.
I. Some Characteristic Features of the Passage From the 18th to the
19th Century 1. The following notes grew out of reflections which
first led us to send out invitations to, and call for papers for,
an interdisciplinary workshop, which took place in Bielefeld from
27th to 30th November, 1979. The status and character of this
preface is therefore somewhat ambiguous: on the one hand it does
not comment extensively on the articles to follow, on the other
hand it could not have been conceived and written in the way it was
without knowledge of all the contributions to this volum- which
contains revised editions of papers for the workshop - nor without
the cooperation of the participants in the above mentioned
symposium. Furthermore, although the following may sound slightly
programmatic and summary, we hope that it will be sufficiently
explicit to provide some key words and concepts useful for further
scholarly work. Perhaps the most important result of our efforts is
the very structure of these notes: it is aimed at providing
methodological orientations for the investigation of what turned
out to be a very peculiar period in the history of science. xi H.
N. Jahnke and M. Otte (eds.), Epistemological and Social Problems
of the Sciences in the Early Nineteenth Century, xi-xlii. Copyright
(c) 1981 by D. Reidel Publishing Company. xii H. N. JAHNKE ET AL.
Time and again, philosophy, in trying to untangle the issues
surrounding the an alytic-synthetic distinction, has doubted that
such a distinction can significantly be drawn at all. We think, in
face of the varied and age-old discussions on it, that such
reflections amount only to one more documentation of the tenacity
of the problems behind this distinction. We could even be justified
in promoting the thesis that this distinction refers to the complex
relationship between the universe of meanings and the universe of
objects and thus concerns each domain of human thinking where a
form of objectivity is pursued. If one accepts such a thesis, one
will find it very natural that this distinction has so frequently
occurred in the history of mathematics and in philosophical
discussions about mathematics. Since Plato, we may encounter quite
a number of interpretations of the ideas of analysis and synthesis,
which are related in one sense or other with mathematical thought.
Mathematicians of all ages have ap pealed to them in order to
distinguish different forms and styles in their argumen tation and
expositions. Philosophers have referred to them for clarification
of the specific character of mathematics in its relations to
knowledge in general. In the present volume various instances of
the analytic-synthetic distinction are discussed in relation to the
history and philosophy of mathematics, and some new perspectives
about possible interpretations and consequences are suggested."
BACOMET cannot be evaluated solely on the basis of its
publications. It is important then that the reader, with only this
volume on which to judge both the BACOMET activities and its major
outcome to date, should know some thing of what preceded this
book's publication. For it is the story of how a group of
educators, mainly tutors of student-teachers of mathematics, com
mitted themselves to a continuing period of work and
self-education. The concept of BACOMET developed during a series of
meetings held in 1978-79 between the three editors, Bent
Christiansen, Geoffrey Howson and Michael Otte, at which we
expressed our concern about the contributions from mathematics
education as a discipline to teacher education, both as we observed
it and as we participated in it. The short time which was at the
teacher-educator's disposal, allied to the limited knowledge and
experience of the students on which one had to build, raised
puzzling problems concerning priorities and emphases. The
recognition that these problems were shared by educators from many
different countries was matched by the fact that it would be
fruitless to attempt to search for an internationally (or even
nationally) acceptable solution to our problems. Different contexts
and traditions rule this out."
Vorworte und Einleitungen ahneln oft - und dann werden sie als gut
und angemessen empfunden"-, Fahnensprtichen und Bannerlosungen,
zuweilen gleichen sie allerdings auch mehr Grabinschriften. Sie
sind kurz, und sie versuchen in dieser Ktirze Vergangenheit und
Zukunft, Reflexion und Aktion in Zusammenhang, in Bewegung zu
bringen und damit bestimmten Leitvorstellungen zum Ausdruck zu
verhelfen. Sie sind prag matisch, nicht didaktisch und niemals
detailliert. Das vorliegende Vorwort dagegen ist lang, aber dennoch
kursorisch. Es entspringt einem einheitlichen Interesse, welches
vielleicht am besten in dem Satz Rene Thoms zum Aus druck kommt:
"Tatsachlich beruht, ob man das nun wahrhaben will oder nicht, aIle
mathematische Padagogik . auf einer Philosophie der Mathematik.
111) Es setzt sich jedoch anderer seits mit einer Ftille von
Fragen, Problemen und Entwicklungen im Zusammenhang der
Wissenschaft Mathematik auseinander. Obwohl die folgenden Zeilen
eine Sammlung von Artikeln ein lei ten sollen und es sich also
nicht urn einen eigenen unab hangigen Aufsatz handelt, bezieht sich
der Text auch auf spater nur implizit Angesprochenes, und es wird
darin nicht jedes Argument im einzelnen belegt, nachgewiesen und
konkreti siert. Es handelt sich, wie gesagt, urn ein Vorwort im ein
gangs skizzierten Sinne, obgleich der Text einen relativ groBen
Umfang hat. Wir hoffen, daB er trotz dieser Wider sprtichlichkeit
seinen Sinn erftillt. 1) In A.G.HOWSON (Hrsg.): Developments in
Mathematical Education, Cambridge 1973, S. 204."
I was inspired to write the poems in this book from experience in
real life our loss and its lessons from which we learn. The
elements we deal with in our journey through life. Our family,
friends, love and faith. A special thanks to the people of hospice
that help you care for a love one. My wife Betty had A.L.S. for
four years before I lost her. I was able to care for her at the
home she was a special lady. My poetry got me through this sad
time.
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