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.

Contents:

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  Foreword

  
  


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  About the Authors

  
  


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  Creating Problems:

  
  
  
  
  • Creating High-Level Problems for International Competitions (Nairi Sedrakyan, Hayk Sedrakyan)
  
  
  • Homothety: Enlarging or Shrinking of Figures May Help (Kiril Bankov)
  
  
  • Some Remarks on the Principle of Mathematical Induction (Krzysztof Ciesielski)
  
  
  • Folding Polygons and Knots (Meike Akveld, Robert Geretschläger)
  
  
  • How to Find Infinitely Many Integers which Fulfill ... (Valentin Fuchs, Erich Fuchs, Bettina Kreuzer)
  
  
  • It is (Not) as Easy at it Seems: The Role of Distractors in Specific Tasks in the Mathematical Kangaroo (Evita Lerchenberger, Lukas Donner)
  
  
  
  


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  Competitions and Research:

  
  
  
  
  • Mathematics, its History, and Mathematical Olympiads: A Golden Braid (Alexander Soifer)
  
  
  • Mathematical Olympiad Problems and Coding Theory: Development and Proof of a Critical Hypothesis (Navid Safaei)
  
  
  • Scientific and World Affairs in the Soifer Mathematical Olympiad (Alexander Soifer)
  
  
  
  


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  Regional Specialties:

  
  
  
  
  • A Mass Math Circle During the Covid-19 Pandemic: New Educational and Technological Approaches (Sergey Dorichenko, Sergey Shashkov)
  
  
  • A Few Notes on the Bulgarian National Competition 'Discovery of Young Talents' (Iliana Tsvetkova)
  
  
  • The History and Methodology of KöMaL Competitions (Rita Kós)
  
  
  
  


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  The Impact of Technology:

  
  
  
  
  • Technological Applications in Mathematics Competitions: Status Quo, Perspectives and Challenges (Lukas Donner)
  
  
  • The Information System of the 'Tournament of Towns': An Electronic System for Processing and Marking Papers (Evgeny V Khinko)
  
  
  • Designing and Implementing the World's First Interactive Online Math Contest: A Roadmap for Navigating the New Normal (Tim Sanders)
  
  
  • Lessons Learned from Náboj Online Competitions: Technical Requirements and Problem Selection (Bettina Kreuzer, Erich Fuchs, Alexander Slávik, David Hruška)
  
  
  • Mathematical Creativity in the Age of AI: A Platform Approach (Yahya Tabesh, Amir Zarkesh)
  
  
  
  

Readership: This book is most suited as a reference text for organisers of mathematics competitions and math didactics researchers. However, it would also be suitable for a general audience, particularly math puzzle enthusiasts, as well as students training for the sorts of math competitions discussed in this book.