Understanding Numbers Simplify Life S Mathematics Decode The World Around You

"Simple, clear explanations of twenty ways in which mathematics helps us to understand practical issues of everyday life. Suitable for teenagers and adults, and beautifully produced. Highly recommended!" - Professor Ian Stewart, bestselling author of The Cabinet of Mathematical Curiosities Mathematics is an indispensable tool for life. From the systems that underpin our newsfeeds, through to the data analysis that informs our health and financial decisions, to the algorithms that power how we search online – mathematics is at the heart of how our modern world functions. In 20 dip-in lessons, Understanding Numbers explains how and why mathematics fuels your world and arms you with the knowledge to make wiser choices in all areas of your life. • Make sense of health statistics • Understand the mathematics behind political voting systems • Get to grips with how online search tools work • Discover how mathematics can create the perfect city

Joy and power in math? Of course! As well as practicality, versatility, simplicity . . . and fun. Strength in Numbers offers a highly entertaining exploration of the math we use in our daily lives—from calculating mortgage payments, to choosing credit card rates, to deciphering statistics. As award-winning teacher and author Sherman Stein reveals, math is much more than "a collection of procedures to calculate numbers." It is an essential tool with which to understand the world around us. And while the relevance of math to everyday life is emphasized, the author's lively survey of such intriguing concepts as "hot" and "cool" numbers, as well as brainteasers like the puzzle of the Egyptian rope, make Strength in Numbers rich reading. Along the way, Stein exposes many myths—from the idea that there is nothing new in math to the notion that there may be a gene for mathematical talent. He praises the beauty of such mathematical wonders as the Golden Triangle, and reveals the fascinating ways in which math is used to solve problems in science, such as biologists' use of the slope of a curve to calculate species growth. With his engaging style, Stein offers a new appreciation for the amazing properties of mathematics, from the beauty of its logic ("as inevitable and memorable as a Mozart symphony") to its power and pervasiveness in our lives. Requiring no math knowledge beyond basic arithmetic and high school geometry, Strength in Numbers is an enlightening introduction to all the math we need. What is the spell of cool numbers? Was the golden ratio used to build the Great Pyramid of Khufu? What do two goats and a car have to do with making good decisions? In Strength in Numbers, award-winning teacher and author Sherman K. Stein offers an entertaining exploration of the surprising ways in which the language of mathematics can enhance our understanding of the world around us. "After finishing this book, you should have a clearer idea of the importance of mathematics in the 'real' world and the ability to read the language of mathematics. I hope, in addition, you will have gained an appreciation of the beauty of mathematics and the elegance of its reasoning."—from Chapter 1

Fully updated to reflect the changes to the Early Years Professional Status (EYPS) qualification, this second edition remains the essential handbook to support all those considering or working towards EYPS and on whichever pathway they embark. Organised into three parts, the text starts by leading you through the initial requirements for entry to the programme, providing an overview of the different pathways. It goes on to focus on the standards against which all EYP candidates are tested, and then finally looks at the new validation process and beyond. Although closely linked to the standards required for EYPS, and their relationship with the Early Years Foundation Stage, the book is not a standard-by-standard manual; it supports you in developing an organic, holistic perspective on childcare and education, combining practical skills with knowledge development. The text includes case studies based on real practice scenarios, ideas for practical activities, further reading, reflection, interviews and advice from EYPS candidates who have successfully negotiated the validation process.

Written by experienced practitioners this resource for Theory of Knowledge for the IB Diploma offers comprehensive coverage of and support for the new subject guide. Decoding Theory of Knowledge (ToK) is an accessible new resource that explores Areas of Knowledge, Ways of Knowing, Personal and Shared Knowledge, the Knowledge Framework and Knowledge Questions. Written in succinct and clear language, this engaging book decodes ToK concepts and helps students develop their critical thinking skills. The book offers extensive support on the new assessment criteria for the essay and presentation. Features include explanation of key concepts to consolidate knowledge and understanding; real-life situations to engage students; practical activities to develop students' thinking, writing and presentation skills; and top tips to provide further guidance and advice.

Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

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Brief Contents Chapter 1 Teaching Mathematics: Influences and DirectivesChapter 2 Learning and Teaching MathematicsChapter 3 Developing Mathematical Thinking and Problem-Solving AbilityChapter 4 Assessing Mathematics UnderstandingChapter 5 Developing Number ConceptsChapter 6 Developing Understanding of NumerationChapter 7.