TY  - BOOK
AU  - Givental, Laura
AU  - Nemirovskaya, Maria
AU  - Zakharevich, Ilya
TI  - Math circle by the bay: : Topics for the grades 1-5
SN  - 9781470447854
AV  - QA13.5 
PY  - 2018///]
CY  - USA
PB  - AMS
N1  - Chapter 1. Numbers as Geometric Shapes
    Examples of Figurate Numbers
    Square Numbers
    Rectangular Arrangements
    Triangular Numbers
    Quick Summations
    Cubic Numbers
    Pyramids

Chapter 2. Combinatorics
    Coloring Beads
    Mumbo Language
    Ice Cream Cones
    Nowhere York City
    The Handshake Problem
    Sides and Diagonals
    Same Problems with 10 Objects
    Apples, Oranges, and More
    Problems about Numbers
    Harder Problems
Chapter 3. Fibonacci Numbers
    Building Strips with Squares and Dominoes
    Parking Problems
    Counting Routes
    Fibonacci Sequence in Nature
    Extension to the Left
    Even/Odd Pattern
    Divisibility by 3
    Sum of the First n Consecutive Fibonacci Numbers
    Fibonacci Rectangles and Fibonacci Spiral
    Honeybees’ Ancestral Tree

Chapter 4. Pascal’s Triangle
    Paths in Mouseville
    Hockey Stick Pattern
    Diagonals in Pascal’s Triangle
    Rows in Pascal’s Triangle
    Extending Pascal’s Triangle
    Fibonacci Numbers in Pascal’s Triangle
    Sierpinski Triangle
    Counting Odd and Even Numbers in Pascal’s Triangle
    Pascal’s Triangle Modulo 3

Chapter 5. Area
    Playing with Squares
    Areas of Similar Shapes
    SAME SHAPE SAME SIZE
    Rotation by a Right Angle
    Area of a Tilted Square
    Pythagorean Theorem
    Area of a Parallelogram and Area of a Triangle
    Pick’s Formula

Chapter 6. Selected Warmup and Challenging Problems

N2  - This book is based on selected topics that the authors taught in math circles for elementary school students at the University of California, Berkeley; Stanford University; Dominican University (Marin County, CA); and the University of Oregon (Eugene). It is intended for people who are already running a math circle or who are thinking about organizing one. It can be used by parents to help their motivated, math-loving kids or by elementary school teachers. We also hope that bright fourth or fifth graders will be able to read this book on their own.

The main features of this book are the logical sequence of the problems, the description of class reactions, and the hints given to kids when they get stuck. This book tries to keep the balance between two goals: inspire readers to invent their own original approaches while being detailed enough to work as a fallback in case the teacher needs to prepare a lesson on short notice. It introduces kids to combinatorics, Fibonacci numbers, Pascal's triangle, and the notion of area, among other things. The authors chose topics with deep mathematical context. These topics are just as engaging and entertaining to children as typical “recreational math” problems, but they can be developed deeper and to more advanced levels
ER  -