000 03333nam a22002177a 4500
003 OSt
005 20240902153406.0
008 190614b ||||| |||| 00| 0 eng d
020 _a9781470447854
040 _cEducational Supplies
_aICTS-TIFR
050 _aQA13.5
100 _aGivental, Laura
245 _aMath circle by the bay
_b: Topics for the grades 1-5
260 _aUSA:
_bAMS,
_c[c2018]
300 _a171 p
505 _aChapter 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
520 _aThis 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.
700 _aNemirovskaya, Maria
700 _aZakharevich, Ilya
942 _2lcc
_cBK
999 _c2731
_d2731