Author: National Research Council
Publisher: National Academies Press
ISBN: 0309095034
Category : Education
Languages : en
Pages : 54
Book Description
Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.
Mathematical and Scientific Development in Early Childhood
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309095034
Category : Education
Languages : en
Pages : 54
Book Description
Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.
Publisher: National Academies Press
ISBN: 0309095034
Category : Education
Languages : en
Pages : 54
Book Description
Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.
Intellectual Development and Mathematics Learning
Author: Chongde Lin
Publisher: Springer Nature
ISBN: 9811987572
Category : Education
Languages : en
Pages : 277
Book Description
This book introduces the outcomes of author’s 40 years of research, especially the theory of “the Triangular Pyramid Structure of Thinking” that he independently proposed, and the application of his development theory in the field of mathematics education. The book firstly explains the substantial character of intelligence, the development law of intelligence, and the relationship between intelligence development and creativity cultivation. Secondly, it discusses the structure of mathematical thinking of children and adolescents from 0 to 18 years old, and the methods of developing students’ thinking ability and the quality of intelligence through arithmetic learning. In the end, this book also demonstrates the characteristics of the development of mathematical thinking ability of children at age 0-6, elementary school students, and secondary school students, and the related latest research in this field. Based on the theory of “the Triangular Pyramid Structure of Thinking”, a number of examples are given to illustrate how the theory of intelligence development can be used in mathematics teaching to promote the development of students’ thinking abilities and to improve the quality of teaching. This book covers various areas including psychology, mathematics, and education. It has a great reference value for scholars in the field of psychology to study the theory of intelligence and the structure of thinking, providing guidance for parents and mathematics teachers to promote children’s quality of intelligence and mathematical thinking abilities, and to enhance their mathematics learning effects. In addition, it provides examples for psychological research to serve specific subject teaching in elementary and secondary schools.
Publisher: Springer Nature
ISBN: 9811987572
Category : Education
Languages : en
Pages : 277
Book Description
This book introduces the outcomes of author’s 40 years of research, especially the theory of “the Triangular Pyramid Structure of Thinking” that he independently proposed, and the application of his development theory in the field of mathematics education. The book firstly explains the substantial character of intelligence, the development law of intelligence, and the relationship between intelligence development and creativity cultivation. Secondly, it discusses the structure of mathematical thinking of children and adolescents from 0 to 18 years old, and the methods of developing students’ thinking ability and the quality of intelligence through arithmetic learning. In the end, this book also demonstrates the characteristics of the development of mathematical thinking ability of children at age 0-6, elementary school students, and secondary school students, and the related latest research in this field. Based on the theory of “the Triangular Pyramid Structure of Thinking”, a number of examples are given to illustrate how the theory of intelligence development can be used in mathematics teaching to promote the development of students’ thinking abilities and to improve the quality of teaching. This book covers various areas including psychology, mathematics, and education. It has a great reference value for scholars in the field of psychology to study the theory of intelligence and the structure of thinking, providing guidance for parents and mathematics teachers to promote children’s quality of intelligence and mathematical thinking abilities, and to enhance their mathematics learning effects. In addition, it provides examples for psychological research to serve specific subject teaching in elementary and secondary schools.
Mathematics Learning in Early Childhood
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309147433
Category : Education
Languages : en
Pages : 399
Book Description
Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
Publisher: National Academies Press
ISBN: 0309147433
Category : Education
Languages : en
Pages : 399
Book Description
Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
Transforming the Workforce for Children Birth Through Age 8
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309324882
Category : Social Science
Languages : en
Pages : 587
Book Description
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.
Publisher: National Academies Press
ISBN: 0309324882
Category : Social Science
Languages : en
Pages : 587
Book Description
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.
Cognitive Foundations for Improving Mathematical Learning
Author: David C. Geary
Publisher: Academic Press
ISBN: 0128159537
Category : Psychology
Languages : en
Pages : 380
Book Description
The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. - Identifies the relative influence of school and family on math learning - Discusses the efficacy of numerical play for improvement in math - Features learning trajectories in math - Examines the role of math language in numeracy skills - Includes assessments of math skills - Explores the role of cognition in treating math-based learning difficulties
Publisher: Academic Press
ISBN: 0128159537
Category : Psychology
Languages : en
Pages : 380
Book Description
The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. - Identifies the relative influence of school and family on math learning - Discusses the efficacy of numerical play for improvement in math - Features learning trajectories in math - Examines the role of math language in numeracy skills - Includes assessments of math skills - Explores the role of cognition in treating math-based learning difficulties
Culture and Cognitive Development
Author: Geoffrey B. Saxe
Publisher: Psychology Press
ISBN: 1317728084
Category : Psychology
Languages : en
Pages : 259
Book Description
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education
Publisher: Psychology Press
ISBN: 1317728084
Category : Psychology
Languages : en
Pages : 259
Book Description
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education
Preschool Pathways to Science
Author: Rochel Gelman
Publisher: Brookes Publishing Company
ISBN: 9781598570441
Category : Education
Languages : en
Pages : 0
Book Description
To ensure they're meeting early learning guidelines for science, preschool educators need fun, age-appropriate, and research-based ways to teach young children about scientific concepts. That's just what they'll get with this hands-on guidebook. The basis for the PBS KIDS show Sid the Science Kid, this innovative teaching resource helps children ages 3 - 5 investigate their everyday world and develop the basics of scienfific thinking, skills they'll apply across subject areas when they enter school. A fun and engaging way to introduce science to young children, PrePS is a must-have because it: is based on the domain-specific approach to cognitive development; provides age-appropriate introduction to key science practices; makes the most of children's natural curiosity; encourages collaboration between teachers and children; enhances any curriculum; and taps teachers' creativity. This reader-friendly guide gives educators the guidance they need to work PrePS into their existing program; sample schedules designed for the preschool classroom; and detailed sample activites they can do right away or use as templates for their own creative lessons. And with the book's assessment guidelines, teachers will know PrePS is having a measurable effect on the classroom environment and student learning.
Publisher: Brookes Publishing Company
ISBN: 9781598570441
Category : Education
Languages : en
Pages : 0
Book Description
To ensure they're meeting early learning guidelines for science, preschool educators need fun, age-appropriate, and research-based ways to teach young children about scientific concepts. That's just what they'll get with this hands-on guidebook. The basis for the PBS KIDS show Sid the Science Kid, this innovative teaching resource helps children ages 3 - 5 investigate their everyday world and develop the basics of scienfific thinking, skills they'll apply across subject areas when they enter school. A fun and engaging way to introduce science to young children, PrePS is a must-have because it: is based on the domain-specific approach to cognitive development; provides age-appropriate introduction to key science practices; makes the most of children's natural curiosity; encourages collaboration between teachers and children; enhances any curriculum; and taps teachers' creativity. This reader-friendly guide gives educators the guidance they need to work PrePS into their existing program; sample schedules designed for the preschool classroom; and detailed sample activites they can do right away or use as templates for their own creative lessons. And with the book's assessment guidelines, teachers will know PrePS is having a measurable effect on the classroom environment and student learning.
Proof and Proving in Mathematics Education
Author: Gila Hanna
Publisher: Springer Science & Business Media
ISBN: 9400721293
Category : Education
Languages : en
Pages : 468
Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Publisher: Springer Science & Business Media
ISBN: 9400721293
Category : Education
Languages : en
Pages : 468
Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Rigorous Mathematical Thinking
Author: James T. Kinard
Publisher: Cambridge University Press
ISBN: 1139472399
Category : Psychology
Languages : en
Pages : 210
Book Description
This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. This approach seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: they should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches – Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers.
Publisher: Cambridge University Press
ISBN: 1139472399
Category : Psychology
Languages : en
Pages : 210
Book Description
This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. This approach seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: they should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches – Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers.
How to Teach Your Baby Math
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.
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.