Mathematics at Work


Book Description

The fourth edition retains the original purpose which has made this book such a large success through every one of its previous editions: to effectively help its readers solve a wide array of mathematical problems specifically related to mechanical work. Aside from its unique compilation of mathematical problems, this book is renowned for its ability to duplicate, as far as possible, personal instruction. Its usefulness as a self-learning guide for the mathematics of mechanical problems is therefore unexcelled. Distinctive Features -The entire text has been carefully reviewed and edited where necessary for greater clarity and accuracy. -Includes new problem materials. -At the request of many users, it now includes trigonometric and common logarithm tables.




Math Work Stations


Book Description

If you' ve ever questioned how to make math stations work, you' ll find this photo-filled, idea-packed resource invaluable. This book extends Debbie Diller' s best-selling work on literacy work stations and classroom design to the field of mathematics. In Math Work Stations you' ll find ideas to help children develop conceptual understanding and skills, use math vocabulary as they talk about their mathematical thinking, and connect big ideas to meaningful independent exploration and practice. This book details how to set up, manage, and keep math stations going throughout the year. There' s even a chapter devoted solely to organizing and using math manipulatives. Each chapter includes: key concepts based on NCTM and state math standards; math vocabulary resources and literature links; suggested materials to include at each station for the corresponding math content strand; ideas for modeling, troubleshooting, differentiating, and assessment; and reflection questions for professional development.Throughout the book, Debbie has included hundreds of color photos showing math work stations in action from a variety of classrooms in which she has worked. Charts, reproducible forms, and math work stations icons are included to provide everything you' ll need to get started with stations in your classroom right away.




How Numbers Work


Book Description

Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIES New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.




Avoid Hard Work!


Book Description

The term problem-solving sounds scary. Who wants problems? Why do we want to subject ourselves and youngsters to problems? The word problem comes from the word probe, meaning inquiry. Inquiry is a much friendlier idea. Rather than attack a problem that has been given to us, let us accept an invitation to inquire into and to explore an interesting opportunity. Even toddlers can excel at inquiring, exploring, and investigating the world around them!PROBLEM-SOLVING TECHNIQUESSuccessful FlailingDo SomethingWishful ThinkingThe Power of DrawingMake It SmallEliminate Incorrect ChoicesPerseverance Is KeySecond-Guess the AuthorAvoid Hard WorkGo to the Xtremes




Mathematics Teachers at Work


Book Description

This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.




She Does Math!


Book Description

She Does Math! presents the career histories of 38 professional women and math problems written by them. Each history describes how much math the [Author]; took in high school and college; how she chose her field of study; and how she ended up in her current job. Each of the women present several problems typical of those she had to solve on the job using mathematics. There are many good reasons to buy this book: It contains real-life problems. Any student who asks the question, "Why do I have to learn algebra or trigonometry or geometry?" will find many answers in its pages. Students will welcome seeing solutions from real-world jobs where the math skills they are learning in class are actually used. The book provides strong female role models and supplies practical information about the job market. Students learn that they can only compete for these interesting, well-paying jobs by taking mathematics throughout their high school and college years. The book demonstrates the surprising variety of fields in which mathematics is used. Who should have this book? Your daughter or granddaughter, your sister, your former math teacher, your students--and young men, too. They want to know how the math they study is applied--and this book will show them.




Differentiating Math Instruction


Book Description

This exciting and unique book presents practical, immediately applicable ideas for differentiating instruction in maths in the elementary classroom. It explains in detail the process of differentiation in maths, beginning with lesson planning, through implementation of a wide variety of research-proven instructional strategies and tactics. The ′Ideas from Teachers′ feature, located in various chapters, includes instructional tactics provided by teachers that exemplify the differentiation process. Also included are the ′To Ten Tactics′ lists which provide simple, immediately applicable tactics that can be easily implemented in almost every classroom.




All the Math You'll Ever Need


Book Description

A sharp mind, like a healthy body, is subject to the same ruleof nature: Use it or lose it Need a calculator just to work out a 15 percent service charge? Not exactly sure how to get the calculator to give you the figureyou need? Turn to this revised and updated edition of All the MathYou'll Ever Need, the friendliest, funniest, and easiest workoutprogram around. In no time, you'll have total command of all the powerfulmathematical tools needed to make numbers work for you. In adollars-and-cents, bottom-line world, where numbers influenceeverything, none of us can afford to let our math skills atrophy.This step-by-step personal math trainer: Refreshes practical math skills for your personal andprofessional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculatemortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.




Writing to Learn Mathematics


Book Description

Explains how writing can be integrated into primary and secondary mathematics, and suggests topics and methods, including journals, learning logs, and letters.




Mathematics Coaching and Collaboration in a PLC at Work(tm)


Book Description

Part of the Every Student Can Learn Mathematics series Build a mathematics teaching community that promotes learning for K-12 educators and students. This user-friendly resource is divided into two parts, each covering actionable team strategies in teaching mathematics in a PLC at Work(TM). First you'll discover how to coach highly effective mathematics teams within your professional learning community. Then you'll learn how to utilize collaboration and lesson-design elements within your math curriculum for teacher team reflection, assessment data analysis, and action. Learn to lead math teacher teams and foster effective collaborative teaching strategies: Build a collaborative math learning culture that engages and promotes learning for students and staff members. Optimize coaching and foster equity and belonging, to encourage collaboration on instruction and math assessment. Engage in mathematics lesson study, to help teams learn from one another and reflect on effective strategies in teaching mathematics. Develop norms, SMART goals for teachers, agendas, and a plan for working effectively as a collaborative team in a PLC at Work(TM). Address all parts of your math curriculum, from math instruction to math interventions. Contents: Preface Introduction Part 1: Develop PLC Structures for Effective Teacher Team Engagement, Transparency, and Action Chapter 1: Five Inspirational PLC Leadership Practices Chapter 2: Five Leadership Strategies for Effective Collaboration in Mathematics Part 2: Use Common Assessments and Lesson-Design Elements for Teacher Team Reflection, Data Analysis, and Subsequent Action Chapter 3: How to Create and Nurture a Culture of Change, Growth, Reflection, and Improvement in Your Mathematics Program Chapter 4: How to Lead a Culture of Transparency and Learning with Mathematics Assessments Chapter 5: How to Lead in a Culture of Transparency and Learning with Mathematics Instruction Chapter 6: How to Lead a Culture of Collective Responsibility Epilogue Appendix A References and Resources Books in the Every Student Can Learn Mathematics series: Mathematics Assessment and Intervention in a PLC at Work(TM) Mathematics Instruction and Tasks in a PLC at Work(TM) Mathematics Homework and Grading in a PLC at Work(TM) Mathematics Coaching and Collaboration in a PLC at Work(TM)