Thinking Mathematically - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thinking Mathematically write by Robert Blitzer. This book was released on 2013. Thinking Mathematically available in PDF, EPUB and Kindle.
Thnking Mathematically
Thnking Mathematically - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thnking Mathematically write by J Mason. This book was released on 2011-01-10. Thnking Mathematically available in PDF, EPUB and Kindle. Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.
Thinking Mathematically
Thinking Mathematically - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thinking Mathematically write by Thomas P. Carpenter. This book was released on 2003. Thinking Mathematically available in PDF, EPUB and Kindle. In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic
How Not to Be Wrong
How Not to Be Wrong - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook How Not to Be Wrong write by Jordan Ellenberg. This book was released on 2015-05-26. How Not to Be Wrong available in PDF, EPUB and Kindle. “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.
Building Thinking Classrooms in Mathematics, Grades K-12
Building Thinking Classrooms in Mathematics, Grades K-12 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Building Thinking Classrooms in Mathematics, Grades K-12 write by Peter Liljedahl. This book was released on 2020-09-28. Building Thinking Classrooms in Mathematics, Grades K-12 available in PDF, EPUB and Kindle. A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
