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How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin
Page : 482 pages
File Size : 38,81 MB
Release : 2015-05-26
Category : Mathematics
ISBN : 0143127535

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“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.

Bringing Project-Based Learning to Life in Mathematics, K-12

Author : Maggie Lee McHugh
Publisher : Corwin Publishers
Page : 0 pages
File Size : 10,18 MB
Release : 2023-05-23
Category :
ISBN : 9781071880722

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Beyond problem-solving and performance tasks -- level up to project-based learning! Do you want your students to be more engaged in their mathematics lessons while also amplifying cultural relevancy and equity? If so, proceed to the next level of instruction with project-based learning (PBL)! This book provides the whole PBL game plan designed by an experienced, award-winning teacher and researcher. Whether you want to start with small steps or you are ready for full-implementation in your classroom, project-based learning experiences can lead to forever memories and deeper learning for your students. Answering the "Why?," "What?," and "How?" of embarking on the journey toward project-based learning, readers will find Need to Know questions to open each chapter Student and educator vignettes to identify stumbling blocks and successes PBL Plus Moves - those small steps teachers can make to gradually shift toward PBL Your Turn! Activities to actively connect ideas to your practice This approachable guide includes everything you need to move from tasks to memorable project-based experiences that leverage student voice and choice and build a welcoming classroom culture!

Helping Children Learn Mathematics

Author : National Research Council
Publisher : National Academies Press
Page : 53 pages
File Size : 46,6 MB
Release : 2002-07-31
Category : Education
ISBN : 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Connecting Primary Maths and Science: A Practical Approach

Author : Alan Cross
Publisher : McGraw-Hill Education (UK)
Page : 258 pages
File Size : 19,68 MB
Release : 2016-02-16
Category : Education
ISBN : 0335261892

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At last, a unique book that explores and exploits the links between primary mathematics and science so that you can promote learning in both of these important STEM subjects! Rich in engaging ideas and activities for the classroom this book helps you plan and teach well-structured lessons in a more integrated way. The book outlines key curriculum topics in both subjects and considers why it is important and beneficial to make connections between the two. As well as covering key subject knowledge (what you need to know) and teaching activities (what you need to do), the book explores learners’ mathematical and scientific needs, and defines the characteristics of effective teaching and learning, bringing it all together with ideas which you can use straightway in your classroom. Key features: • promotes an informed approach to integrating primary mathematics and science teaching • helps address the time constraints of delivering the primary national curriculum • presents engaging ideas which can be directly transferred to the classroom • provides a real-life context to mathematics and science activities to inspire student learning • helps you combine two closely related and sometimes tricky subject areas – why teach one subject when you can teach two at the same time! "Accessible, readable and engaging with a range of innovative teaching ideas, this is an invaluable book for all trainee and qualified primary teachers and other educational professionals with links to primary mathematics and science. A great 'go to' book for teachers and trainee teachers alike. Chapters are constructed with easy to read objectives and clear summaries. Many practical ideas, incorporating current research, as well as information on mathematicians and scientists, which is great for boosting children’s aspirations and also helping with teachers’ confidence on the subjects. A lovely, easy to access book, whether it is to use for reference, to dip in and out of or just to use alongside planning materials." Maria McArdle, Senior Lecturer PGCE & Mathematics Lead (Primary), University of Bedfordshire, UK

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
Page : 287 pages
File Size : 49,9 MB
Release : 2020-01-07
Category : Mathematics
ISBN : 0300237138

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"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

Author : Robert Q. Berry III
Publisher : Corwin Press
Page : 328 pages
File Size : 49,62 MB
Release : 2020-03-09
Category : Education
ISBN : 1071806467

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Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

STEM to Story

Author : 826 National
Publisher : John Wiley & Sons
Page : 342 pages
File Size : 43,16 MB
Release : 2015-01-20
Category : Education
ISBN : 1119001013

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Bring STEM to life for students with zombies, rockets, celebrities, and more STEM to Story: Enthralling and Effective Lesson Plans for Grades 5-8 inspires learning through fun, engaging, and meaningful lesson plans that fuse hands-on discovery in science, technology, engineering, and math (STEM) with creative writing. The workshop activities within the book are the innovative result of a partnership between 826 National's proven creative writing model and Time Warner Cable's Connect a Million Minds, an initiative dedicated to connecting young people to the wonders of STEM through hands-on learning. Authentically aligned with both the Common Core State Standards and the Next Generation Science Standards, this book provides teachers, after-school and out-of-school providers, and parents with field-tested lessons, workshops, and projects designed by professionals in each field. Including reflective observations by arts and science celebrities like Jon Scieszka, Mayim Bialik, and Steve Hockensmith, lessons feature bonus activities, fun facts, and teaching points for instructors at every level. These quirky, exploratory lessons will effectively awaken student imaginations and passions for both STEM and creative writing, encourage identity with scientific endeavors, and make both science and writing fun. Grades five through eight is the critical period for engaging students in STEM, and this book is designed specifically to appeal to – and engage – this age group. The guided curricula fosters hands-on discovery, deep learning, and rich inquiry skills while feeling more like play than school, and has proven popular and effective with both students and teachers. Awaken student imagination and get them excited about STEM Fuse creative writing with STEM using hands-on activities Make scientific principles relevant to students' lives Inspire students to explore STEM topics further The demand for STEM workers is closely linked to global competitiveness, and a successful future in STEM depends upon an early introduction to the scientific mindset. The challenge for teachers is to break through students' preconceptions of STEM fields as "hard" or "boring," to show them that STEM is everywhere, it's relevant, and it's loads of fun. For proven lesson plans with just a dash of weird, STEM to Story is a dynamic resource, adaptable and applicable in school, after school, and at home.

Science and Mathematics Education for 21st Century Citizens

Author : Laurinda Leite
Publisher : Nova Science Publishers
Page : 435 pages
File Size : 29,7 MB
Release : 2020
Category : Education
ISBN : 9781536184853

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"This book addresses the challenges that face science and mathematics education if it is to be relevant to 21st century citizens, as well as the ways that outstanding specialists from several countries around the world think it should deal with those challenges. Starting with the issue of science and mathematics teacher education in a changing world, it moves on to deal with innovative approaches to teaching science and mathematics. It then discusses contemporary issues related to the role played by technology in science and mathematics education, the challenges of the STEM agenda, and ways of making science and mathematics education more inclusive. Finally, it focuses on assessment issues, as the success of science and mathematics education depends at least in part on the purposes for which, and ways in which, students' learning is assessed. There is a worldwide trend towards providing meaningful science and mathematics education to all children for the sake of literacy and numeracy development and a need to produce enough science and technology specialists. This trend and need, coupled with the concern raised by students' disengagement in these two knowledge areas and the role that technology may play in countering it, put increasingly high demands on teachers. As shown in this book, science and mathematics education may offer a unique contribution in developing responsible citizens by fostering skills required in order to assume wider responsibilities and roles, focusing on personal, social and environmental dimensions. For instance, it offers unique insights into how teachers can build on students' complicated and interconnected real-worlds to help them learn authentic and relevant science and mathematics. Additionally, the book highlights potential positive relationships between science and mathematics, which are often envisaged as having a conflicting relationship in school curricula. By uncovering the similarities between them, and by providing evidence that both areas deal with issues that are relevant for citizens' daily lives, the book explores ways of linking and giving coherence to science and mathematics knowledge as components of everyday life settings. It also provides directions for future research on the educational potential of interconnecting science and mathematics at the different educational levels. Therefore, this is a worthwhile book for researchers, teacher educators and schoolteachers. It covers theoretical perspectives, research-based approaches and practical applications that may make a difference in education that is relevant and inclusive for citizens in the 21st century"--