Swing Sets uses childrens' natural ability to classify objects to introduce the concept of a set and membership in a set.
Sets are fundamental to modern mathematics. Every principle of number theory, arithmetic, algebra, geometry, trigonometry and calculus is defined in terms of sets. An early understanding of the principles, language and notation of sets will prepare a child to absorb higher math concepts quickly and thoroughly.
A definition of a set is "a collection of objects where it is known if any particular object is a member of the set." A 'collection' is any grouping. An 'object' can be anything; a toy, a number, or even another set. 'Membership' is a critical concept here. To form a set, one must be able to tell exactly what is in the set and what is not in the set. Each set must be clearly defined.
This book starts with a definition for the types of objects that can be included in a set and a definition for each set."A swing set is a group of swings that hang from the same pole. A swing is something that swings back and forth that kids can ride on." This definition is emphasized throughout the book. As you discuss this book with your child, emphasize the definitions given and whether objects not found in the book meets the definitions.
Swing Sets teaches the child how to form a math statement such as f is an element of B from a situation involving sets. This book also teaches the child how to translate a math statement expressing membership in a set into words.
David E. McAdams is a storyteller, educator and lifelong explorer of ideas. With a career that spans decades in mathematics education and a deep love for writing, David has authored a wide array of books that blend learning with imagination. His work ranges from playful puzzle collections for young children to detailed explorations of mathematical constants, vocabulary guides and interactive learning resources-all designed to open doors to discovery.
David's journey began in the classroom, where he spent time teaching high school math and discovering a truth that would guide his work ever after: children learn best when they're engaged, curious and having fun. Over time, he noticed a critical gap in math education-students were struggling not just with concepts, but with the language of math itself. That insight led him to create All Math Words Dictionary, a comprehensive and kid-friendly resource to strengthen math vocabulary and improve comprehension.
But David didn't stop there. He began to write math-inspired books for young readers, books that delight as they teach. In One Penny, Two, a magical penny-doubling story unfolds with charm and wit. In What Is Bigger Than Anything?, children are introduced to the mind-stretching idea of infinity. His My Favorite Fractals and Geometric Nets Project Books invite children to explore patterns, numbers and geometry in tangible, joyful ways.
David's books are often playful, poetic and themed with real-world wonder: dinosaurs, fairy tales, space, stuffed animals, hide-and-seek, even swing sets. Each story or puzzle is crafted not only to teach, but to spark imagination. His recent projects include a collection of hundreds of math puzzles for six-year-olds and a themed series that blends math with everything kids love-ice cream cones, treasure hunts, magic tricks and more.
His work has been translated into several languages, including Bengali, making his joyful approach to learning accessible to even more children around the world. Whether he's counting stars or exploring the digits of Pi, David brings a deep sense of care and curiosity to every page.
Now retired from teaching, David enjoys gardening and the creative joy of writing. He continues to write daily, constantly dreaming up new ways to help children see the beauty of math, the power of language and the magic of asking, "What if?"
