Fractals are the geometry of the natural world. They're about the broken, wrinkled, wiggly world- the uneven shapes of nature, unlike the idealised forms of Euclidean geometry. We see fractals everywhere; indeed, we are fractals ourselves. Fractal geometry is an extension of classical geometry which can make precise models of physical structures, from ferns to galaxies. It can describe the shape of a cloud as precisely as an architect can describe a house. Introducing Fractals traces the historical development of this mathematical discipline, explores its descriptive powers in the natural world, and then looks at the applications and the implications of the discoveries it has made.
As a little girl, Maryam Mirzakhani was spellbound by stories. She loved reading in Tehran's crowded bookstores, and at home she'd spend hours crafting her own tales on giant rolls of paper. Maryam loved school, especially her classes in reading and writing. But she did not like math. Numbers were nowhere near as interesting as the bold, adventurous characters she found in books. Until Maryam unexpectedly discovered a new genre of storytelling: In geometry, numbers became shapes, each with its own fascinating personality--making every equation a brilliant story waiting to be told.
Written by a celebrated math educator, this innovative inquiry encourages critical thinking and sparks memorable mathematical conversations. Children and their parents answer the same question about each set of four shapes- "Which one doesn't belong?" There is no one right answer--the important thing is to have a reason why. Kids might describe the shapes as squished smooshed, dented, or even goofy. But when they justify their thinking, they're talking math! Winner of the Mathical Book Prize for books that inspire children to see math all around them.
Oh, my! In this rhyming text students will gain understanding of how geometry is made up of lines, angles, and shapes, and how this can get confusing at times. This book will guide them through understanding geometry with the help of visual representations, step-by-step instructions, and sample questions. So, hop on the line and follow the path of understanding geometry! This book will allow students to draw and identify lines and angles, and classify shapes by properties of their lines and angles.