Download or read book What Children Can Teach Adults About Mathematics written by Robert P Hunting and published by PALM-Ed Pty Ltd. This book was released on 2013-10-29 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ways adults think about mathematics and the ways children think about mathematics are not necessarily the same. Listening, observing, and talking with children is necessary so that teachers, parents, and carers can figure out where they are coming from mathematically. If children’s mathematics encompasses their own meanings and understandings, and those meanings and understandings may be different to mine, then to provide effective assistance and support, I must make every effort to see mathematics from their perspective. In this book I highlight important aspects of children’s beginning understandings of mathematics, illustrated with examples taken from observations of children. In Chapter 1 I discuss the origins of mathematics in infants with illustrations provided from three major strands of mathematics: number, space, and measurement. In Chapter 2 I give examples of different ways young children use fingers in their efforts to solve simple mathematical problems, looking in detail at one child’s behavior. Chapter 3 focuses on a 4-year-old’s views about numbers. There is a commonly held belief that before children start school they have not really thought about numbers; that young children’s mathematical minds are a blank slate. Nothing could be further from the case. In Chapter 4 I discuss the topic of counting, focusing firstly on the spontaneous counting behavior of a 4-year-old, followed by interviews that further reveal how his knowledge of numbers and counting are related. Chapter 5 further discusses how children learn about numbers; in particular the various conceptions children have of the number 10. I explain the significance of part-whole knowledge in children’s numerical thinking in Chapter 6, with examples taken from preschool, the 2nd grade, and 5th grade. Chapter 7 is about sharing, its origins, contexts when sharing arises, types of sharing, and the relationship between sharing and counting, sharing and division, and sharing as a platform for learning fractions. In Chapter 8 I begin by discussing early geometric ideas, including basic operations for moving items in two dimensions, followed by three-dimensional activities. I discuss the key notion of conservation of quantity and conclude with comments about scale and distance. Chapter 9 begins with the question “What is measurement?” I discuss the issue of measurement error, then sketch out a general development of measurement thinking. Types of conservation are described, as are unit systems. Finally, children’s thinking in area situations, including common misconceptions, are discussed. In Chapter 10, after a story showing how fractions can be introduced naturally, I focus on the fraction knowledge of an 11-year-old, who responded to a range of tasks designed to tease out this child’s conceptual understanding of fractions.

Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Download or read book Common Core Math For Parents For Dummies with Videos Online written by Christopher Danielson and published by John Wiley & Sons. This book was released on 2015-04-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help your child succeed with a better understanding of Common Core Math Common Core Math For Parents For Dummies is packed with tools and information to help you promote your child's success in math. The grade-by-grade walk-through brings you up to speed on what your child is learning, and the sample problems and video lessons help you become more involved as you study together. You'll learn how to effectively collaborate with teachers and keep tabs on your child's progress, so minor missteps can be corrected quickly, before your child falls behind. The Common Core was designed to improve college- and career-readiness, and to prepare U.S. students to be more competitive on an international stage when it's time to enter the workforce. This guide shows you how the standards were created, and how they've evolved over time to help ensure your child's future success. The Common Core Math Standards prepare students to do real math in the real world. Many new teaching methods are very different from the way most parents learned math, leading to frustration and confusion as parents find themselves unable to help with homework or explain difficult concepts. This book cuts the confusion and shows you everything you need to know to help your child succeed in math. Understand the key concepts being taught in your child's grade Utilize the homework tools that help you help your child Communicate more effectively with your child's teacher Guide your child through sample problems to foster understanding The Common Core was designed to ensure that every student, regardless of location or background, receives the education they need. Math skills are critical to real-world success, and the new standards reflect that reality in scope and rigorousness. Common Core Math For Parents For Dummies helps you help your child succeed.

Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Download or read book How to Teach Your Baby Math written by Glenn Doman and published by Square One Publishers, Inc.. This book was released on 2014-02-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​*** OVER 13 MILLION COPIES SOLD​*** Time and again, the work performed at The Institutes for the Achievement of Human Potential has demonstrated that children from birth to age six are capable of learning better and faster than older children. How To Teach Your Baby To Read shows just how easy it is to teach a young child to read, while How To Teach Your Baby Math presents the simple steps for teaching mathematics through the development of thinking and reasoning skills. Both books explain how to begin and expand each program, how to make and organize necessary materials, and how to more fully develop your child’s reading and math potential. How to Give Your Baby Encyclopedic Knowledge shows how simple it is to develop a program that cultivates a young child’s awareness and understanding of the arts, science, and nature—to recognize the insects in the garden, to learn about the countries of the world, to discover the beauty of a Van Gogh painting, and much more. How To Multiply Your Baby’s Intelligence provides a comprehensive program for teaching your young child how to read, to understand mathematics, and to literally multiply his or her overall learning potential in preparation for a lifetime of success. The Gentle Revolution Series: The Institutes for the Achievement of Human Potential has been successfully serving children and teaching parents for five decades. Its goal has been to significantly improve the intellectual, physical, and social development of all children. The groundbreaking methods and techniques of The Institutes have set the standards in early childhood education. As a result, the books written by Glenn Doman, founder of this organization, have become the all-time best-selling parenting series in the United States and the world.

Download or read book Math Games for Adult and Child written by Agnes Azzolino and published by . This book was released on 1993 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: It's the ideal book for the parent, grandparent, or adult who wants to enjoyably spend time with a child while teaching important mathematics. Games are for TWO- THROUGH SEVEN-YEAR-OLDS & their adults. Using bottle tops, playing cards, coins, the book's game boards & pieces, a calculator, & the series of games outlined & scripted in the text, one may provide years of valuable mathematics education for a child, & HAVE FUN DOING IT! The counting games, hands-on math, provide the basis for all other work. Travel & card games shift the focus to mental math. Board games build symbol-recognition skills. Geometry games help the child understand & speak about the world mathematically. Thirty games are discussed. Three game boards, a set of cards, & a sheet of plastic game pieces are included. Strategies for playing with a child & brief reviews of mathematics are provided for the adult. Discounts are available for large orders. Parents, give your child a head start. Teachers, teach it better, quicker, through games. Librarians, create that perfect Saturday morning program for parents & children. These games can provide precious quality time for the child & adult as well.

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Download or read book Let s Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reasoning of Children and Adults written by Alina Galvão Spinillo and published by Springer Nature. This book was released on 2021-05-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner’s cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.

Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Download or read book Zero for Parents and Teachers or Almost All You Need to Know about Mathematics for Young Children written by Anne D. Cockburn and published by Cambridge Scholars Publishing. This book was released on 2020-07-20 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zero for Parents and Teachers, or (Almost) All You Need to Know about Mathematics for Young Children is a book for people who feel nervous or uncertain about teaching maths to young children. If you are anxious and confused about the subject this might just be the book you are looking for! It covers all the basic topics young children need to know about maths. It starts at the beginning and, in an open and friendly way, opens new horizons exploring fundamental ideas you may never have known you never knew. Had you realised that, for example, zero (0) means much more than simply nothing, you might have found yourself enjoying maths at school. The book begins by introducing six young friends who follow us through each chapter, providing a range of fun activities for you and your children to further your mathematical confidence. Written by early years educators, this book will offer safe and sympathetic guidance for any reader.

Download or read book How to Teach Math to Children written by Joohi Lee and published by . This book was released on 2016-08-10 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to Teach Math to Children is based on National Council of Teachers of Mathematics standards and aims to help early childhood educators understand developmentally appropriate pedagogy in order to promote children's knowledge and skills. This new edition provides information about how NCTM standards and Common Core Math Standards are aligned. Over the course of ten chapters readers learn important background information about school mathematics and young learners, and how to help children acquire important math knowledge and skills. The book provides useful, practical information on developing number sense, promoting algebraic thinking, teaching geometry, assessment of student learning, and approaching measurement, data analysis, and probability with young children. All chapters feature excellent graphic support and all include clear and measurable learning expectations. Each chapter concludes with a reflection note that is specifically designed for pre-service teachers to encourage students to explore learning outside the classroom whether through class observations or technology. How to Teach Math to Children is an excellent resource for courses on early math education and instructional strategies.

Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book From Here to Infinity written by Ian Stewart and published by Oxford Paperbacks. This book was released on 1996 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A retitled and revised edition of Ian Stewart's The Problem of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wile's amazing proof of Fermat's Last Theorem, the newest advances in knot theory, the Four Colour Theorem, Chaos Theory, and fake four-dimensial spaces. See how simple concepts from probability theory shed light on the National Lottery and tell you how to maximize your winnings. Discover howinfinitesimals become respectable, why there are different kinds of infinity, and how to square the circle with the mathematical equivalent of a pair of scissors.

Download or read book Learning and Teaching Mathematics 0 8 written by Helen Taylor and published by SAGE. This book was released on 2013-11-14 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: ′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.

Download or read book Math for Grownups written by Laura Laing and published by Simon and Schuster. This book was released on 2011-06-18 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever wish you'd paid more attention in math class? From third grade to senior year of high school, it went in one ear and out the other, didn't it? But now you're staring at the new washer and dryer, trying to figure out the percentage of sales tax on the purchase price. You multiply something by something, right? Or you're scratching your head, wondering how to compute the odds that your football team will take next Sunday's game. You're pretty sure that involved ratios. The problem is, you can't quite remember. Here you get an adult refresher and real-life context—with examples ranging from how to figure out how many shingles it takes to re-roof the garage to the formula for resizing Mom's tomato sauce recipe for your entire family. Forget higher calculus—you just need an open mind. And with this practical guide, math can stop being scary and start being useful.