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.

Inhalt

Goals of Mathematics Instruction: Seven Thoughts and Seven Illustrations of Means.- From a Mathematical Situation to a Problem.- Techniques for Solving Problems of Plane Geometry.- Arrangements and Transformations of Numbers on a Circle: An Essay Inspired by Problems of Mathematics Competitions.- Combinatorial Problems in the Mathematical Olympiad of Central America and the Caribbean.- The Rainbow of Mathematics Teaching the Complete Spectrum and the Role Mathematics Competitions Can Play.- Competition Aims to Develop Flexibility in the Classroom.- Development, and Manifestation of Mathematical Talent.- International Mathematical Tournament of Towns.- Madhava Mathematics Competition A Recent initiative in India.- From the Lifetime Experience of a Seasoned Math Educator Thoughts, Hopes, Views and Impressions.- Future Directions of Research in Mathematics Competitions.- Are Mathem atics Competitions Changing the Mathematics that Is Being Done and the Way Mathematics Is BeingDone?.- Classic Conjectures Allowing Young Mathematicians to Commence Research.