S.M.A.R.T. Circle Projects / by Andy Liu.

Format:

Book

Author/Creator:

Liu, Andy., Author.

Series:

Springer Texts in Education, 2366-7680

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Mathematics Education.

Local Subjects:

Mathematics Education.

Physical Description:

1 online resource (XIV, 220 p. 158 illus.)

Edition:

1st ed. 2018.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2018.

Summary:

This book describes projects in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the second 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 II, is based on the papers published in scientific and education journals by the Circle members while they were still in junior high school (some still in elementary school). In essence, it explains the purpose of the Circle. Volume I describes how to run a Circle, and Volume III explains what actually takes place in 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 co nduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.

Contents:

Preface

Table of Contents

Chapter 1. Error-Correcting Codes

Section 1. From the Alt Code to the Hamming Code

Section 2. Two Applications of the Hamming Code

Section 3. Reed-Muller Code

Chapter 2. Regular and Semi-regular Polyhedra

Section 1. Regular Polyhedra

Section 2. A Polyhedral Metamorphosis

Section 3. Semi-Regular Polyhedra

Chapter 3. Polyform Compatibility

Section 1. Tetris Number Theory

Section 2. Tetris Algebra

Section 3. Other Compatibility Problems

Chapter 4. Mathematical Chess Problems

Section 1. Adventures of an Apprentice Rook

Section 2. Martin Gardner’s Royal Problem

Section 3. Knight Tours

Chapter 5. Mathematical Induction

Section 1. The Towers of Hanoi

Section 2. A Problem on Greatest Common Divisors

Section 3. Congo Bongo

Chapter 6. Number Triangles

Section 1. Pascal’s Triangle

Section 2. Rascal’s Triangle

Section 3. Triangles of Asbolute Difference

Chapter 7. Summation Formulae

Section 1. Sums of Powers of Integers

Section 2. Zig-Zag

Section 3. Two Great Escapes

Chapter 8. Finite Projective Geometries

Section 1. Lions and Ponies

Section 2. Star Wars

Section 3. Convenient Buildings

Chapter 9. Sharing Loots

Section 1. Sharing Jewels

Section 2. Sharing Gold and Silver

Section 3. Sharing Rum

Chapter 10. Puzzling Adventures

Section 1. Circuits Checking Circuits

Section 2. The Coach’s Dilemma

Section 3. The Campers’ Problem

Appendix Additional Problems.

Notes:

Includes bibliographical references.

ISBN:

9783319568119

3319568116