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Competitions for Young Mathematicians

Perspectives from Five Continents

  • Book
  • © 2017

Overview

Editors:
  1. Alexander Soifer

    1. Osborne Center for Science & Engineering, University of Colorado, Colorado Springs, Colorado Springs, USA

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  • Shows how to discover and develop mathematical talent
  • Includes studies from five different continents
  • Suggests directions for further research on mathematics competitions and olympiads
  • Includes supplementary material: sn.pub/extras

Part of the book series: ICME-13 Monographs (ICME13Mo)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Goals of Mathematics Instruction

    1. Front Matter

      Pages 1-1
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    2. Goals of Mathematics Instruction: Seven Thoughts and Seven Illustrations of Means

      • Alexander Soifer
      Pages 3-24

  3. Geometry for Competitions

    1. Front Matter

      Pages 25-25
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    2. From a Mathematical Situation to a Problem

      • Francisco Bellot-Rosado
      Pages 27-53

    3. Techniques for Solving Problems of Plane Geometry

      • K. P. Shum
      Pages 55-98

  4. Combinatorics for Competitions

    1. Front Matter

      Pages 99-99
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    2. Arrangements and Transformations of Numbers on a Circle: An Essay Inspired by Problems of Mathematics Competitions

      • Kiril Bankov
      Pages 101-122

    3. Combinatorial Problems in the Mathematical Olympiad of Central America and the Caribbean

      • L. F. Cáceres-Duque, J. H. Nieto Said, R. J. Sánchez Lamoneda
      Pages 123-142

  5. Role of Competitions in the Classroom

    1. Front Matter

      Pages 143-143
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    2. The Rainbow of Mathematics—Teaching the Complete Spectrum and the Role Mathematics Competitions Can Play

      • Robert Geretschläger
      Pages 145-170

    3. Competition Aims to Develop Flexibility in the Classroom

      • Ingrid Semanišinová, Matúš Harminc, Martina Jesenská
      Pages 171-185

    4. Discovering, Development, and Manifestation of Mathematical Talent

      • Iliana Tsvetkova
      Pages 187-201

  6. Original Competitions

    1. Front Matter

      Pages 203-203
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    2. International Mathematical Tournament of Towns

      • Nikolay Konstantinov, Sergey Dorichenko
      Pages 205-241

    3. Madhava Mathematics Competition—A Recent Initiative in India

      • V. M. Sholapurkar
      Pages 243-267

  7. Thoughts About Competitions’ Present and Future

    1. Front Matter

      Pages 269-269
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    2. From the Lifetime Experience of a Seasoned Math Educator—Thoughts, Hopes, Views and Impressions

      • Romualdas Kašuba
      Pages 271-301

    3. Future Directions for Research in Mathematics Competitions

      • Peter James Taylor
      Pages 303-326

  8. A Bridge Between Competitions and ‘Real’ Mathematics

    1. Front Matter

      Pages 327-327
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Keywords

About this book

This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students.

Reviews

“Competitions for Young Mathematicians is a collection of 14 essays loosely organized into eight broad categories. … I would recommend this book for persons with an interest in problem solving and as a great source of problems for advanced students.” (Richard J. Wilders, MAA Reviews, November, 2017)

Editors and Affiliations

  • Osborne Center for Science & Engineering, University of Colorado, Colorado Springs, Colorado Springs, USA

    Alexander Soifer

Bibliographic Information

  • Book Title: Competitions for Young Mathematicians

  • Book Subtitle: Perspectives from Five Continents

  • Editors: Alexander Soifer

  • Series Title: ICME-13 Monographs

  • DOI: https://doi.org/10.1007/978-3-319-56585-9

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-56584-2Published: 29 June 2017

  • Softcover ISBN: 978-3-319-85950-7Published: 02 August 2018

  • eBook ISBN: 978-3-319-56585-9Published: 15 June 2017

  • Series ISSN: 2520-8322

  • Series E-ISSN: 2520-8330

  • Edition Number: 1

  • Number of Pages: XIV, 386

  • Number of Illustrations: 133 b/w illustrations

  • Topics: Mathematics Education

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