Table of Contents
Foreword v
About the Authors vii
Introduction xxi
Part 1 Mathematics Competitions and Research 1
Chapter 1.1 From the Lifting-the-Exponent-Lemma to Elliptic Curves with Isomorphic Groups of Points: How Olympiad Mathematics Influences Mathematical Research Clemens Heuberger 3
Chapter 1.2 Examples of Mathematics and Competitions Influencing Each Other Peter Taylor Kevin McAvaney 15
Chapter 1.3 University Mathematics in the Polish Mathematical Olympiad Krzysztof Ciesielski 35
Chapter 1.4 Building Bridges Between Olympiads and Mathematics: Three Long-Distance Trains of Thought Alexander Soifer 51
Part 2 Mathematics Competitions and Teaching 83
Chapter 2.1 Beyond the Rainbow - Thoughts on the Potential of Mathematics Competition Problems in the Classroom Robert Geretschläger 85
Chapter 2.2 How to Create and Solve: Analysis of Items from the Mathematical Kangaroo from Two Perspectives Lukas Andritsch Evita Hauke Jakob Kelz 117
Part 3 The Special Role of Mathematics Competitions in Certain Countries 137
Chapter 3.1 The Impact of Mathematical Olympiads on the Mathematics Community of Colombia María Folk de Losada 139
Chapter 3.2 The Impact of Mathematical Olympiads on the Mathematics Community of Venezuela Rafael Sánchez Lamoneda 161
Chapter 3.3 Mathematical Olympiads in Cabo Verde: Genesis, History and Comments Natália Furtado 167
Part 4 Special Mathematics Competitions 181
Chapter 4.1 Some Selected Problems from the Mediterranean Mathematics Competition after its First 20 Years Francisco Bellot-Rosado 183
Chapter 4.2 Náboj: A Somehow Different Competition Erich Fuchs Bettina Kreuzer Alexander Slávik Martina Vavácková 191
Chapter 4.3 The CompMath Competition: Solving Math Problems with Computer Algebra Systems Stoyan Kapralov Penka Ivanovo Stefka Bouyuklieva 207
Chapter 4.4 Evolving Ideas in Problem Series of the Chernorizec Hrabar Math Tournament Borislav Yordanov Lazarov 221
Chapter 4.5 The Julia Robinson Mathematics Festival: A Complement and Alternative to Competitions Mark Saul 235
Chapter 4.6 The Flavor of the Colorado Mathematical Olympiad: A Concerto in Four Movements Alexander Soifer 253
Chapter 4.7 Computational Thinking Hackathon Yahya Tabesh Shaya Zarkesh 265
Index 273
