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Early Childhood Mathematics / Edition 5

Early Childhood Mathematics / Edition 5

by Susan Sperry Smith


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Early Childhood Mathematics / Edition 5

This NCTM Standards-based book was written to encourage the teacher or future teacher to create an active learning environment that fosters curiosity, confidence, and persistence in children as they learn math. The unique learning needs of children from diverse cultures and children who are disabled are discussed. Integration of technology such as calculators and computers is incorporated throughout. Includes strong pedagogical features for the adult learner. Preservice and inservice teachers of children ages 3-8.

Product Details

ISBN-13: 2900132613681
Publisher: Pearson
Publication date: 02/07/2012
Edition description: New Edition
Pages: 288
Product dimensions: 8.40(w) x 10.80(h) x 0.80(d)

About the Author

Susan Sperry Smith began her career by working in the projects on the West Side of Chicago and teaching first grade. Later, she received her master’s degree in Learning Disabilities and eventually taught severely disabled children, ages 6-17, in a small town in Indiana. Thereafter, she moved to Milwaukee and completed her PhD in Urban Education at the University of Wisconsin-Milwaukee, and teaching junior high boys with learning disabilities for the Milwaukee Public Schools.

While at Cardinal Stritch University, Smith designed and taught the course, “Math for Young Children.” Half the semester was spent in an actual clinical setting where her students gained authentic experience by teaching in a local city school. Throughout her career, she led seminars and workshops on early childhood mathematics in Wisconsin and Upper Michigan. She also attended a plethora of workshops on Cognitively Guided Instruction (CGI) sponsored by the faculty at the University of Wisconsin in Madison. After twenty-six years of university teaching, she retired to Green Valley, AZ, to research and write.

Table of Contents

Most chapters conclude with "Summary," "Activities and Study Questions," "Further Reading," "Related Children's Literature," "Links to Technology," and "References."



1. Mathematics and You.
How You Were Taught: Then and Now.
Math Anxiety—You Can Handle It.
Ten Myths about Teaching Mathematics to All Children.
Success for Every Child.
The Eight Intelligences.
Serving Children in Inclusive Settings.
The Child Who Is Gifted.
The Child with Learning Disabilities.
The Child Who Is Cognitively Disabled (Children with Mental Retardation).
Where We Are Going—The NCTM Standards.
Developmentally Appropriate Education: Creating the Best Learning Environment.
Piaget, Vygotsky, Bruner, and Dienes.

2. The Language of Math.
Developing Math and Language Using Song and Verse.
Developing Math Language through Children's Literature.
Math Language and Older Children.
Math Concepts Found in the Early Childhood Curriculum.
The Symbols of Math.
The Number Sentence.

3. Early Math Concepts: Matching, Classification, Comparing, and Ordering or Seriation.
Matching: Informal Learning around Home and School.
Assessment of Matching Abilities.
Early Classification—Creating Sets.
Children and Sets: Informal Learning around Home and School.
Classroom Activities Involving Sets.
Complex Classification.
Assessment of the Relationship Involving Classification.
Comparing: InformalLearning around Home and School.
Ordering or Seriation.
Ordering or Seriation: Informal Learning around Home and School.
Assessment of Relationships Involving Ordering.

4. Space and Shape.
Space: Informal Learning at Home and School.
Assessment of Spatial Relationships.
The Art of Block Building.
Blocks for Girls as Well as Boys.
Shape: Informal Learning around Home and School.
Planning Activities about Shape.
Assessment of Shape.
Geometric Concepts in the Early Grades.

5. Pattern and Function.
The Importance of Pattern.
Principles of Pattern.
Early Classroom Activities.
Pattern in Music and Art.
Functions in the Primary Grade Classroom.

6. Graphing.
Topics for Graphing Experiences.
The Challenge in Reading Graphs.
The Graphing Questions.
Early Experiences with Graphing.
Choosing Categories That Avoid Hurt Feelings or Wanting to Be on the Winning Side.

7. Developing Number Sense.
A Cultural Perspective.
Counting: The Young Child Plays and Learns.
Research and Today's Classroom.
Piaget's Tests of Conservation.
Guided Learning Activities.
Counting-On Activities.
Counting-Back Activities.
From Counting to Part-Part-Whole Activities.
Thinking in Groups.
Reading and Writing Numerals.
Fractions and Number Sense.

8. Problem Solving—Addition and Subtraction.
Math Is Problem Solving.
Choosing a Problem.
General Kinds of Problems.
Problem Posing.
A Positive Environment.
General Strategies.
Cognitive Background Information for Teachers: Classes of Problems.
Rules of Operation.
Helping Children Write Their Own Problems.
Using What Children Know to Learn the Facts.

9. Understanding Our Place Value System.
A Brief History of Base-Ten.
The Unique Features of the Base-Ten System.
Readiness for Place Value.
Children's Natural Preferences.
Classroom Learning with Manipulatives.
Teaching with Bean Sticks or Base-Ten Blocks.
Teaching with the Abacus and Money.
Estimating and Rounding Larger Numbers.
Assessing Children's Understanding of Place Value.

10. Measurement.
Principles of Measurement.
The General Method.
The Young Child Plays and Learns.
Two Measurement Systems.
Difficulties in the Measurement Process.
Guided Learning—Physical Quantities.
Guided Learning—Non-Physical Quantities.

11. Problem Solving—Multiplication and Division.
Readiness for Multiplication and Division.
Children's Natural Strategies.
Cognitive Background for Teachers: Classes of Problems.
Linking Problem Solving to Symbolic Representation.
Rules of Operation.
The Role of Zero.
Helping Children Write Their Own Problems.

12. Assessment.
Assessment and Evaluation Defined.
Curriculum Reform and Alignment.
Assessment Strategies.
Scoring Methods.
Alternatives for Students.
Record Keeping.

13. Planning for Success: A Good Beginning.
How Do I Get Started?
How Can I Involve Parents in My Program?
What Should I Do if My Students Have Had Only Rote Math Background?
How Can I Meet the Needs of Children from Diverse Backgrounds?
How Can I Use Technology to Enhance Learning?
Planning for Computer-Assisted Instruction.
Choosing Appropriate Software.
Planning for Calculators.

14. Thematic Units.
All about Bears (Preschool).
The Circus (Preschool-Kindergarten).
Insects (Preschool-Kindergarten).
Peter Rabbit (First and Second Grade).

Appendix A: Software Companies.


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