A Mathematical Orchard

An entertaining collection of 208 accessible yet challenging mathematical puzzles, designed to appeal to problem solvers at many different levels.

In the fall, Mrs. Gourd and her class take a field trip to the Mighty Mart, where they see plenty of math in action.

Winner of the APALA Asian/Pacific American Award for Young Adult Literature An ALA-YALSA Best Fiction for Young Adults Book After a classmate commits suicide, Kana Goldberg—a half-Japanese, half-Jewish American—wonders who is responsible. She and her cliquey friends said some thoughtless things to the girl. Hoping that Kana will reflect on her behavior, her parents pack her off to her mother's ancestral home in Japan for the summer. There Kana spends hours under the hot sun tending to her family's mikan orange groves. Kana's mixed heritage makes it hard to fit in at first, especially under the critical eye of her traditional grandmother, who has never accepted Kana's father. But as the summer unfolds, Kana gets to know her relatives, Japan, and village culture, and she begins to process the pain and guilt she feels about the tragedy back home. Then news about a friend sends her world spinning out of orbit all over again.

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. The book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers. The book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: Real-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science More than 300 exercises that enable readers to explore many of the presented examples in greater depth Illustrations that clarify and simplify the concepts Fibonacci and Catalan Numbers is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.

Understanding the principles of base ten is essential to understanding numbers and operations. Students will build upon their knowledge of place value and be challenged to use it in the context of algebraic operations. Engaging content encourages students to demonstrate the knowledge they’ve gained from reading. Eye-catching visuals help walk readers through the math problems, while age-appropriate language encourages learning. Orchards give us some of the world’s tastiest fruit, and readers will learn what happens there while also learning how to use place value to round. This volume meets CCSS Math Standard 3.NBT.A.3.

Learn your first STEAM math words with this engaging, rhyming story!

First published in 1998.

It's fall, and the days are getting cooler. As the leaves begin to change color, the apple trees are heavy with fruit and ready for the harvest. It's time to go apple picking! Join us on a visit to the apple orchard to learn all about apples: how they grow, the best way to pick them, and how to make delicious apple cider.