Allyn & Bacon / Merrill
Education
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ISBN-10: 0131116770
ISBN-13: 9780131116771
Publisher: Merrill
Copyright: 2009
Format: Paper; 416 pp
Published: 02/01/2008
Suggested retail price: $66.67
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Developed to address the new NCTM focal points, which use a chronological approach to thinking about what should be taught in early childhood mathematics. The book views mathematics as a developmental and constructive process in which the teacher acts as an instructor and facilitator. The book takes a “3 E” approach to thinking about how math is presented to each age group. For infants and toddlers, best introduced and presented through interaction with the environment so designing a mathematically active and interactive classroom should be the focus. For Preschool and Kindergarten children, mathematics is best learned through experiences with materials or projects in the classroom. For grade school children, more traditional educational experiences become more developmentally appropriate in combination with environment and experience.
The approach is to see math as a developmental process that children engage in as they grow and develop. The teacher's role is to promote concept understanding and development through active experiences and questioning techniques in combination with teaching skills in developmentally appropriate ways.
- Focus on Standards based mathematics education--Using standards can help teachers to use many different methods to reach their objectives rather than being tied to one text book series.
- Focus on children's mathematics development rather than on skill and drill--Mathematics is best introduced to children if the teacher understands how children think and grow generally and mathematically. This book focuses in depth on the mathematical development of the child and how to introduce developmentally appropriate mathematics programs.
- NCTM Focal Points are central to teaching mathematics--The new NCTM focal points for each grade are designed to help make mathematics teaching coherent and focused in schools. This book uses those focal points as a guide to teaching in each grade level. Knowing what are the two to three most important concepts in each grade helps teachers focus their teaching and mathematics program.
- A constructivist perspective as well as an acceptance of skills practice--This book takes a constructivist perspective to learning mathematics. This means that children should be active learners and interact with other children in learning and constructing their knowledge. Process is at least as important as correct answers and, for teachers, questioning and promoting mathematical thinking is at least as important as learning how to produce correct answers. Comprehension of concepts is more important than just getting correct answers.
- Focuses on Mathematics from Birth--This is the only book to include infants and toddlers as active learners of methematics. A lot of construction and active learning is taking place in the infant and toddlers environment and mathematics can be supported even in the very young. Just as literacy is promoted from birth, so too can math.
- Focus on Standards based mathematics education--Using standards can help teachers to use many different methods to reach their objectives rather than being tied to one text book series.
- Focus on children's mathematics development rather than on skill and drill--Mathematics is best introduced to children if the teacher understands how children think and grow generally and mathematically. This book focuses in depth on the mathematical development of the child and how to introduce developmentally appropriate mathematics programs.
- NCTM Focal Points are central to teaching mathematics--The new NCTM focal points for each grade are designed to help make mathematics teaching coherent and focused in schools. This book uses those focal points as a guide to teaching in each grade level. Knowing what are the two to three most important concepts in each grade helps teachers focus their teaching and mathematics program.
- A constructivist perspective as well as an acceptance of skills practice--This book takes a constructivist perspective to learning mathematics. This means that children should be active learners and interact with other children in learning and constructing their knowledge. Process is at least as important as correct answers and, for teachers, questioning and promoting mathematical thinking is at least as important as learning how to produce correct answers. Comprehension of concepts is more important than just getting correct answers.
- Focuses on Mathematics from Birth--This is the only book to include infants and toddlers as active learners of methematics. A lot of construction and active learning is taking place in the infant and toddlers environment and mathematics can be supported even in the very young. Just as literacy is promoted from birth, so too can math.
Chapter 1 Children and Mathematics: A Natural Combination
What is Emergent Mathematics?
Making a Difference as a Teacher
Recent Findings in Teaching Mathematics
Treating Children as Mathematicians
NCTM Principles, Standards and Curriculum Focal Points
Putting the Pieces Together: The "3E" Approach
Chapter 2 Building a Knowledge Base and Learning to Reflect
Understanding Yourself
Teachers are Decision Makers
Understanding Child Development
Understanding Your Students
Chapter 3 Diversity, Equity, and Individualized Instruction
Individualized Instruction
Socioeconomic Factors
Minority Student Achievement
Children with Special Needs
English Language Learners and Linguistic Diversity
Gender Differences
Chapter 4 Creating a Constructivist Classroom
The Child-Centered Curriculum
Preparation of the Child-Centered Environment
Materials
What to Do Before the First Day
Chapter 5 Infants and Toddlers
What are Infants and Toddlers Like?
What Mathematical Concepts Do Infants and Toddlers Learn?
Meeting Standards with Infants and Toddlers
What Does an Infant and Toddler Learning Environment Look Like?
Developmentally Appropriate Strategies and Activities for Infants and Toddlers
Supporting Emergent Mathematics
Sample Infant and Toddler Lesson Plans
Assessment
Chapter 6 Preschool Age
What Are Preschool Children Like?
What Mathematical Concepts Do Preschool Children Learn?
Meeting Standards with Preschool Children
What Does a Preschool Mathematics Learning Environment Look Like?
Developmentally Appropriate Strategies and Activities for Preschool Age Children
Sample Preschool Lesson Plans
Assessment
Chapter 7 Kindergarten and First Grade
What Are K-1 Children Like?
What Mathematical Concepts Do K-1 Children Learn?
Meeting Standards with K-1 Children
What Does a K-1 Mathematics Learning Environment Look Like?
Developmentally Appropriate Strategies and Activities for K-1 Age Children
Sample Kindergarten and First-Grade Lesson Plans
Assessing Mathematics in K-1
Chapter 8 Second and Third Grade
What Are SEcond and Third Graders Like?
What Mathematical Concepts Do Second and Third Grade Children Learn?
Learning Disabilities - ADHD, Dyslexia and Dyscalculia
Meeting Standards for Second and Third Grade Children
What Does a Second and Third Grade Mathematics Learning Environment Look Like?
Developmentally Appropriate Strategies and Activities for Second and Third Grade Children
Sample Second- and Third-Grade Lesson Plans
Assessing Mathematics in Second and Third Grade
Chapter 9 Integrating Mathematics
The Importance of Integration
Using the Project Approach
Comprehensive yet accessible, Children Are Born Mathematicians is a constructivist and developmental approach to teaching mathematics to young children from birth through third grade. Foundational chapters on the state of mathematics today, theories of learning, and diverse learners provide the perspective that understanding of mathematics is developed individually as well as socially, and age-specific chapters explain how teachers can support and assess that learning.
A Constructivist Approach. Geist wants prospective teachers to understand how children learn math, and devotes much of this book helping readers understand how to provide learning experiences that help children construct their own learning.
A Developmental Approach. Because knowing what to teach and when to introduce it is as important as knowing how to teach, the core chapters of this text break teaching math down into accessible parts, by age groups: infants and toddlers, preschool, kindergarten and first grade, and second and third grade.
Each age-group chapter has a consistent organization: brief developmental introduction, what concepts children naturally discover during that developmental range, NCTM concepts that children should be learning, assessment methods, and open-ended ideas and lesson plans to support those concepts.
Incorporates NCTM Standards and Curriculum Focal Points. Standards discussions and Curriculum Focal Points are woven throughout the book. Students will learn what content to incorporate into lessons, see examples of lesson plans, and learn to implement standards-based, developmentally appropriate lessons in their classrooms.
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© 2001 | Prentice Hall | Paper | Instock
ISBN-10: 0130284580 | ISBN-13: 9780130284587
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Children are Born Mathematicians: Supporting Mathematical Development, Birth to Age 8, CourseSmart eTextbook
Geist
© 2009 | Merrill | Electronic Book; 416 pages | Instock
ISBN-10: 0132081679 | ISBN-13: 9780132081672
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