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Engaging Young Students in Mathematics through Competitions
presents a wide range of topics relating to mathematics
competitions and their meaning in the world of mathematical
research, teaching and entertainment. Following the earlier two
volumes, contributors explore a wide variety of fascinating
problems of the type often presented at mathematics competitions.
In this new third volume, many chapters are directly related to the
challenges involved in organizing competitions under Covid-19,
including many positive aspects resulting from the transition to
online formats. There are also sections devoted to background
information on connections between the mathematics of competitions
and their organization, as well as the competitions' interplay with
research, teaching and more.The various chapters are written by an
international group of authors involved in problem development,
many of whom were participants of the 9th Congress of the World
Federation of National Mathematics Competitions in Bulgaria in
2022. Together, they provide a deep sense of the issues involved in
creating such problems for competition mathematics and recreational
mathematics.
This book is composed of the most interesting problems from a
quarter century of regional mathematics competitions for students
aged 11-14 in the province of Styria, Austria. The problems
presented here range from pure puzzles to a more traditional
mathematical type of question, but all are somehow special, posed
with the intent of giving the reader something interesting to think
about, with the promise of an entertaining moment of elucidation
and enlightenment at the end.
Our physical world is embedded in a geometric environment. Plane
geometry has many amazing wonders beyond those that are briefly
touched on in school curriculums. The triangle, one of the basic
instruments in geometry, has a plethora of unexpected curiosities.
Geometric Gems presents one of the largest collections of triangle
curiosities currently available, which the authors discuss in an
easily understood fashion, requiring nothing more of readers other
than the very basics of school geometry to appreciate these
curiosities and their justifications or proofs.The book is intended
to be widely appreciated by a general audience, and their love for
geometry should be greatly enhanced through exploring these many
unexpected relationships in geometry. Geometric Gems is also
suitable for mathematics teachers, to enhance the education of
their students with these highly motivating triangle properties.
Our physical world is embedded in a geometric environment. Plane
geometry has many amazing wonders beyond those that are briefly
touched on in school curriculums. The triangle, one of the basic
instruments in geometry, has a plethora of unexpected curiosities.
Geometric Gems presents one of the largest collections of triangle
curiosities currently available, which the authors discuss in an
easily understood fashion, requiring nothing more of readers other
than the very basics of school geometry to appreciate these
curiosities and their justifications or proofs.The book is intended
to be widely appreciated by a general audience, and their love for
geometry should be greatly enhanced through exploring these many
unexpected relationships in geometry. Geometric Gems is also
suitable for mathematics teachers, to enhance the education of
their students with these highly motivating triangle properties.
The book presents a comprehensive overview of various aspects of
three-dimensional geometry that can be experienced on a daily
basis. By covering the wide range of topics - from the psychology
of spatial perception to the principles of 3D modelling and
printing, from the invention of perspective by Renaissance artists
to the art of Origami, from polyhedral shapes to the theory of
knots, from patterns in space to the problem of optimal packing,
and from the problems of cartography to the geometry of solar and
lunar eclipses - this book provides deep insight into phenomena
related to the geometry of space and exposes incredible nuances
that can enrich our lives.The book is aimed at the general
readership and provides more than 420 color illustrations that
support the explanations and replace formal mathematical arguments
with clear graphical representations.
The book presents a comprehensive overview of various aspects of
three-dimensional geometry that can be experienced on a daily
basis. By covering the wide range of topics - from the psychology
of spatial perception to the principles of 3D modelling and
printing, from the invention of perspective by Renaissance artists
to the art of Origami, from polyhedral shapes to the theory of
knots, from patterns in space to the problem of optimal packing,
and from the problems of cartography to the geometry of solar and
lunar eclipses - this book provides deep insight into phenomena
related to the geometry of space and exposes incredible nuances
that can enrich our lives.The book is aimed at the general
readership and provides more than 420 color illustrations that
support the explanations and replace formal mathematical arguments
with clear graphical representations.
The two volumes of 'Engaging Young Students in Mathematics through
Competitions' present a wide scope of aspects relating to
mathematics competitions and their meaning in the world of
mathematical research, teaching and entertainment.Volume II
contains background information on connections between the
mathematics of competitions and the organization of such
competitions, their interplay with research, teaching and more.It
will be of interest to anyone involved with mathematics
competitions at any level, be they researchers, competition
participants, teachers or theoretical educators.The various
chapters were written by the participants of the 8th Congress of
the World Federation of National Mathematics Competitions in
Austria in 2018.
The two volumes of Engaging Young Students in Mathematics through
Competitions present a wide scope of aspects relating to
mathematics competitions and their meaning in the world of
mathematical research, teaching and entertainment.Volume I contains
a wide variety of fascinating mathematical problems of the type
often presented at mathematics competitions as well as papers by an
international group of authors involved in problem development, in
which we can get a sense of how such problems are created in
various specialized areas of competition mathematics as well as
recreational mathematics.It will be of special interest to anyone
interested in solving original mathematics problems themselves for
enjoyment to improve their skills. It will also be of special
interest to anyone involved in the area of problem development for
competitions, or just for recreational purposes.The various
chapters were written by the participants of the 8th Congress of
the World Federation of National Mathematics Competitions in
Austria in 2018.
The two volumes of Engaging Young Students in Mathematics through
Competitions present a wide scope of aspects relating to
mathematics competitions and their meaning in the world of
mathematical research, teaching and entertainment.Volume I contains
a wide variety of fascinating mathematical problems of the type
often presented at mathematics competitions as well as papers by an
international group of authors involved in problem development, in
which we can get a sense of how such problems are created in
various specialized areas of competition mathematics as well as
recreational mathematics.It will be of special interest to anyone
interested in solving original mathematics problems themselves for
enjoyment to improve their skills. It will also be of special
interest to anyone involved in the area of problem development for
competitions, or just for recreational purposes.The various
chapters were written by the participants of the 8th Congress of
the World Federation of National Mathematics Competitions in
Austria in 2018.
The two volumes of 'Engaging Young Students in Mathematics through
Competitions' present a wide scope of aspects relating to
mathematics competitions and their meaning in the world of
mathematical research, teaching and entertainment.Volume II
contains background information on connections between the
mathematics of competitions and the organization of such
competitions, their interplay with research, teaching and more.It
will be of interest to anyone involved with mathematics
competitions at any level, be they researchers, competition
participants, teachers or theoretical educators.The various
chapters were written by the participants of the 8th Congress of
the World Federation of National Mathematics Competitions in
Austria in 2018.
This book is composed of the most interesting problems from a
quarter century of regional mathematics competitions for students
aged 11-14 in the province of Styria, Austria. The problems
presented here range from pure puzzles to a more traditional
mathematical type of question, but all are somehow special, posed
with the intent of giving the reader something interesting to think
about, with the promise of an entertaining moment of elucidation
and enlightenment at the end.
Wouldn't it be great if all school teachers (from kindergarten
through high school) would share the joy of mathematics with their
students, rather than focus only on the prescribed curriculum that
will subsequently be tested? This book reveals some of the wonders
of mathematics that are often missing from classrooms. Here's your
chance to catch up with the math gems you may have missed. Using
jargon-free language and many illustrations, the authors--all
veteran math educators--explore five areas--arithmetic, algebra,
geometry, probability, and the ways in which mathematics can
reinforce common sense. Among other things, you'll learn "the rule
of 72," which enables you to quickly determine how long it will
take your bank account to double its value at a specific interest
rate. Other handy techniques include an automatic algorithm for
multiplying numbers mentally and a clever application that will
allow you to convert from miles to kilometers (or the reverse)
mentally. A delightful presentation of geometric novelties reveals
relationships that could have made your study of geometry more fun
and enlightening. In the area of probability there is a host of
interesting examples: from the famous Monty-Hall problem to the
counterintuitive probability of two people having the same birthday
in a crowded room. Finally, the authors demonstrate how math will
make you a better thinker by improving your organizing abilities
and providing useful and surprising solutions to common mathematics
problems. You'll come away with an appreciation for math you never
thought possible and a true appreciation for this "queen of the
sciences."
This book contains the most interesting problems from the first 24
years of the 'Mathematical Duel', an annual international
mathematics competition between the students of four schools: the
Gymnazium Mikulase Kopernika in Bilovec, Czech Republic, the
Akademicki Zespol Szkol Ogolnoksztalcacych in Chorzow, Poland, the
Bundesrealgymnasium Kepler in Graz, Austria and the Gymnazium
Jakuba Skody in Prerov, Czech Republic.The problems are presented
by topic, grouped under the headings Geometry, Combinatorics,
Number Theory and Algebra, which is typical for olympiad-style
competitions.Above all, it is of interest to students preparing for
mathematics competitions as well as teachers looking for material
to prepare their students, as well as mathematically interested
enthusiasts from all walks of life looking for an intellectual
challenge.
This book contains the most interesting problems from the first 24
years of the 'Mathematical Duel', an annual international
mathematics competition between the students of four schools: the
Gymnazium Mikulase Kopernika in Bilovec, Czech Republic, the
Akademicki Zespol Szkol Ogolnoksztalcacych in Chorzow, Poland, the
Bundesrealgymnasium Kepler in Graz, Austria and the Gymnazium
Jakuba Skody in Prerov, Czech Republic.The problems are presented
by topic, grouped under the headings Geometry, Combinatorics,
Number Theory and Algebra, which is typical for olympiad-style
competitions.Above all, it is of interest to students preparing for
mathematics competitions as well as teachers looking for material
to prepare their students, as well as mathematically interested
enthusiasts from all walks of life looking for an intellectual
challenge.
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