Mathematicians and scientists have been closely tied to many famous disasters. The Challenger explosion, the failure of the Mars Orbiter, and the Kansas City Hyatt Regency walkway collapse all involved thinking errors. This book presents the ten things our future mathematicians and scientists must know to prevent these kinds of tragedies from occurring. Because science and mathematics instruction is often dominated by facts and calculation, children are rarely exposed to these important concepts. Over 50 stories are included that show children the strong connections between mathematics and science and the real world.

Mathematicians and scientists have been closely tied to many famous disasters. The Challenger explosion, the failure of the Mars Orbiter, and the Kansas City Hyatt Regency walkway collapse all involved thinking errors. This book presents the ten things our future mathematicians and scientists must know to prevent these kinds of tragedies from occurring. Because science and mathematics instruction is often dominated by facts and calculation, children are rarely exposed to these important concepts. Over 50 stories are included that show children the strong connections between mathematics and science and the real world.

“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

These proven, practical early childhood teaching strategies and techniques help teachers identify young gifted children, differentiate and extend the curriculum, assess and document students’ development, and build partnerships with parents. Individual chapters focus on early identification, curriculum compacting, social studies, language arts, math and science, cluster grouping, social-emotional development, and finding and supporting giftedness in diverse populations. The text includes current information on brain research and learning; rigor and complexity; and integrating creativity, the arts, and higher-level thinking in accordance with learning goals. Scenarios and vignettes take readers into teachers’ classrooms. The book includes extensive references and resources to explore. Digital content includes customizable forms from the book.

Ready-to-use activities integrate into the daily curriculum to help teachers create a safe and caring classroom

Differentiating Instruction With Menus for the Inclusive Classroom: Math for grades 6-8 offers teachers who have multiple ability levels in one classroom everything they need to create a student-centered learning environment based on choice. For each topic covered, there are two menus that look similar but contain differentiated content: one menu for students working on grade level and the other for students working below grade level. Using the creative, challenging choices found in Tic-Tac-Toe menus, List menus, 2-5-8 menus, and Game Show menus, students will demonstrate their knowledge with unique, exciting products. Also included are specific guidelines for products, assessment rubrics, and teacher introduction pages for each menu. These menus can also be used in conjunction with the Differentiating Instruction With Menus series (for students working above grade level) for three tiers of complementary menus. Grades 6-8

In Homeschooling: A Guidebook of Practices, Claims, Issues, and Implications, T. Jameson Brewer offers an exploratory analysis of homeschooling, its practices and rationales, and implications for society.