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S.M.A.R.T. Circle Minicourses

  • Book
  • © 2018

Overview

Authors:
  1. Andrew Chiang-Fung Liu

    1. University of Alberta , Edmonton, Canada

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  • Provides first-hand information on the history of the first Mathematical “Circle-Project” in North America
  • Contains many mathematical problems, puzzles and games as well as their solutions
  • Includes material based on junior high school student work, which was originally published in scientific and education journals
  • The author has received numerous teaching awards
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Texts in Education (SPTE)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Geometric Topics

    1. Front Matter

      Pages 1-1
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    2. Area and Dissection

      • Andy Liu
      Pages 3-28

    3. Projective Geometry

      • Andy Liu
      Pages 29-54

    4. Conic Sections

      • Andy Liu
      Pages 55-78

    5. Inversive Geometry

      • Andy Liu
      Pages 79-104

    6. Convexity

      • Andy Liu
      Pages 105-134

  3. Other Topics

    1. Front Matter

      Pages 135-135
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    2. Balancing Problems

      • Andy Liu
      Pages 137-158

    3. Graph Theory

      • Andy Liu
      Pages 159-186

    4. Beanstalks

      • Andy Liu
      Pages 187-206

    5. Inequalities

      • Andy Liu
      Pages 207-232

    6. Polynomial Equations

      • Andy Liu
      Pages 233-244
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Keywords

About this book

This book describes mini-courses in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the third volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials.

This book, Volume III, consists of mini-courses and explains what actually takes place in the Circle. Volume I describes how to run a Circle, and Volume II, consisting of student projects, addresses the purpose of the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.


Authors and Affiliations

  • University of Alberta , Edmonton, Canada

    Andrew Chiang-Fung Liu

About the author

Andy Liu is an established author with eleven books to his credit. He is Professor Emeritus of the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. He has won numerous international awards in Mathematics teaching and outreach, as have several of his former students. He was the leader of the Canadian team to the International Mathematical Olympiad in 2000 (South Korea) and in 2003 (Japan), acts as Vice President of the Tournament of Towns and ran the S.M.A.R.T. Circle for over 30 years.

Bibliographic Information

  • Book Title: S.M.A.R.T. Circle Minicourses

  • Authors: Andrew Chiang-Fung Liu

  • Series Title: Springer Texts in Education

  • DOI: https://doi.org/10.1007/978-3-319-71743-2

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2018

  • Softcover ISBN: 978-3-319-71742-5Published: 16 January 2018

  • eBook ISBN: 978-3-319-71743-2Published: 30 December 2017

  • Series ISSN: 2366-7672

  • Series E-ISSN: 2366-7680

  • Edition Number: 1

  • Number of Pages: XIV, 244

  • Number of Illustrations: 173 b/w illustrations

  • Topics: Mathematics Education

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