Child-directed, developmentally appropriate math activities preschoolers can pull "off the shelf" when ready and interested.

As a dedicated early childhood teacher, you aim to provide an environment where students make new discoveries and test their limits. But when it comes to teaching developmentally appropriate math, you might welcome help from an expert with teaching experience based on the latest research on math learning. Math at Their Own Pace offers a series of predesigned, inexpensive activities that you can create and place "on the shelf" for children to use when they are developmentally ready and interested. This child-directed approach provides a broad range of hands-on math experiences that will help your students learn to solve problems creatively. Math at Their Own Pace covers: awareness of stable quantities and emergence of counting skills recognizing and writing the numerals 0 though 9 counting to 10 and beyond emergence of whole-part awareness Greg Nelson, PhD, is a professor of early childhood education at Bridgewater State College in Bridgewater, Massachusetts, and has been a lead teacher in a Montessori program. He holds a PhD in educational psychology, human development, and cognition.

Students today are growing up in a digital world. These "digital natives" learn in new and different ways, so educators need new approaches to make learning both real and relevant for today's students. Marc Prensky, who first coined the terms "digital natives" and "digital immigrants," presents an intuitive yet highly innovative and field-tested partnership model that promotes 21st-century student learning through technology. Partnership pedagogy is a framework in which: - Digitally literate students specialize in content finding, analysis, and presentation via multiple media - Teachers specialize in guiding student learning, providing questions and context, designing instruction, and assessing quality - Administrators support, organize, and facilitate the process schoolwide - Technology becomes a tool that students use for learning essential skills and "getting things done" With numerous strategies, how-to's, partnering tips, and examples, Teaching Digital Natives is a visionary yet practical book for preparing students to live and work in today's globalized and digitalized world.

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/

Master math at your own pace! Does working with numbers often frustrate you? Do you need to brush up on your basic math skills? Do you feel math stands between you and your career goals, or a better grade at school? Quick Arithmetic, Third Edition is the quickest and easiest way to teach yourself the basic math skills you need to advance on the job or in school. Using cartoons and a clear writing style, this practical guide provides a fresh start for learning or reviewing how to work with whole numbers, fractions, decimals, and percentages. The book's proven self-teaching approach allows you to work at your own pace and learn only the material you need. Previews and objectives at the beginning of each section help you determine your particular needs, while self-tests, practice problems, and a final exam let you measure your progress and reinforce what you've learned. For anyone who has ever felt intimidated by a page of numbers, Quick Arithmetic, Third Edition has the answers!

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.