S.M.A.R.T. Circle Overview

This book provides an overview of how to run a Mathematical "Circle," i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the first volume in a trilogy describing in particular the S.M.A.R.T. Circle project, w...

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Bibliographic Details
Main Author: Liu, Andy (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Springer Texts in Education,
Subjects:
Mathematics-Study and teaching .
ISBN:9783319568232
ISSN:2366-7672
Online Access: Get full text
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Table of Contents:
  • A Brief History of the S.M.A.R.T. Circle
  • Table of Contents
  • Part I Mathematical Conversations
  • Chapter 1 Three Sample Projects : Counting Problems
  • Section 1 River-Crossing with Alibaba
  • Section 2 Martian Citizenship Quiz
  • Section 3 Rook Paths
  • Chapter 2 A Sample Minicourse : Tessellations
  • Section 1 Platonic and Archimedean Tilings
  • Section 2 From Tessellations to Rectifications
  • Section 3 Frieze and Wallpaper Patterns
  • Part II Mathematical Competitions
  • Chapter 3 Past Papers of the Edmonton Junior High Mathematics Invitational
  • Section 1 Problems
  • Section 2 Solutions
  • Chapter 4 International Mathematics Tournament of the Towns : Selected Problems
  • Section 1 A Problem on Area
  • Section 2 A Problem on Series
  • Section 3 A Problem on Communication
  • Section 4 A Problem on Divisors
  • Section 5 A Problem on Merge-Sort Algorithms
  • Section 6 A Problem on Complex Numbers in Geometry
  • Section 7 A Problem on Polyhedra
  • Section 8 A Problem on Majorization
  • Section 9 A Problem on Sequences
  • Section 10 A Problem on Lottery
  • Section 11 A Problem on Angles
  • Section 12 A Problem on Balance
  • Section 13 A Problem on Magic Tricks
  • Section 14 A Problem on Polyomino Dissections
  • Section 15 A Problem on Chess Tournaments
  • Section 16 A Problem on electrical Networks
  • Section 17 Another Problem on Communication
  • Section 18 A Problem on Inversion
  • Section 19 A Problem on Sharing
  • Section 20 Yet Another Problem on Communication
  • Section 21 A Problem on Finite State Machines
  • Section 22 A Problem on Tangent Circles
  • Section 23 A Problem on Graph Algorithms
  • Section 24 A Problem on Fixed Points
  • Part III Mathematical Congregations
  • Appendix A Canadian Geography
  • Appendix B Mathematical Jeopardy
  • Appendix C Answers
  • Chapter 5 "From Earth to Moon" Sample Contests
  • Section 1 Problems
  • Section 2 Answers
  • Section 3 Solutions
  • Chapter 6 Past Papers of the Peking University Mathematics Invitational for Youths
  • Section 1 Problems
  • Section 2 Solutions
  • Part IV Mathematical Celebrations
  • Chapter 7 Sample SNAP Math Fair Projects
  • Section 1 Problems
  • Section 2 Solutions
  • Chapter 8 Sample GAME Math Unfair Games
  • Section 1 Problems
  • Section 2 Solutions.

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