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Author: Robert P Hunting Publisher: PALM-Ed Pty Ltd ISBN: 0992305314 Category : Education Languages : en Pages : 146
Book Description
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.
Author: Robert P Hunting Publisher: PALM-Ed Pty Ltd ISBN: 0992305314 Category : Education Languages : en Pages : 146
Book Description
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.
Author: Glenn Doman Publisher: Square One Publishers, Inc. ISBN: 0757051847 Category : Education Languages : en Pages : 241
Book Description
*** 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.
Author: Malke Rosenfeld Publisher: Heinemann Educational Books ISBN: 9780325074702 Category : Education Languages : en Pages : 0
Book Description
"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.
Author: Liping Ma Publisher: Routledge ISBN: 1135149496 Category : Education Languages : en Pages : 290
Book Description
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.
Author: Barbara A. Oakley Publisher: TarcherPerigee ISBN: 039916524X Category : Mathematics Languages : en Pages : 338
Book Description
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.
Author: Agnes Azzolino Publisher: ISBN: 9780962359347 Category : Science Languages : en Pages : 84
Book Description
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.
Author: Christopher Danielson Publisher: John Wiley & Sons ISBN: 1119013933 Category : Education Languages : en Pages : 235
Book Description
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.
Author: W. W. Sawyer Publisher: Courier Corporation ISBN: 0486152774 Category : Mathematics Languages : en Pages : 228
Book Description
This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.
Author: Alina Galvão Spinillo Publisher: Springer Nature ISBN: 303069657X Category : Education Languages : en Pages : 324
Book Description
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.
Author: Robert P Hunting
Author: Robert P Hunting
Author: Glenn Doman
Author: Malke Rosenfeld
Author: Liping Ma
Author: Barbara A. Oakley
Author: Agnes Azzolino
Author: Christopher Danielson
Author: W. W. Sawyer
Author: Denise Gaskins
Author: Alina Galvão Spinillo