Breaking Numbers Into Parts, Second Edition, Part 1 - Los Angeles Math Circle Notes, Kindergarten And 1st Grade by Oleg Gleizer

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The book teaches kindergarten and 1st grade students to break (positive integral) numbers into parts in all the possible ways. The book uses the developed technique to explain (prove) commutativity of addition of positive integers. The book also explores the concepts of digits and numbers, odd and even numbers, operations (functions), and inverse operations in an age-appropriate fashion. The book was tried and tested at Los Angeles Math Circle (LAMC), a free Sunday math school for mathematically inclined children run by UCLA Department of Mathematics. The book was used as a basis for a year-long enhancement math course at a variety of other locations, from math circles and after-school programs to a full-fledged elementary school. The second edition of the book is a feedback-based improvement of the first edition. It has two extra chapters, more than sixty extra problems, solutions to harder problems, ten quizzes, and more. The second edition has two parts. This book is Part 1.

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