Early Childhood Mathematics

Preface. Acknowledgements. 1. Foundations, Myths and Standards. Six Myths about Teaching Mathematics to All Children. Success for Every Child. 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. Summary. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Links to Technology. References. 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. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Links to Technology. References. 3. Early Math Concepts: Matching, Classification, Comparing, and Ordering or Seriation. Matching. Matching: Informal Learning around Home and School. Assessment of Matching Abilities. Early Classification-Creating Sets. Children and Sets: Informal Learning around Home and School. Pose a Problem to the Whole Class: Sets Pose a Problem: Complex Classification. Comparing. Comparing: Informal Learning around Home and School. Ordering or Seriation. Ordering or Seriation: Informal Learning around Home and School. Pose a Problem: Assessment of Relationships Involving Ordering. Summary. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. References. 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. Shape: Informal Learning around Home and School. Planning Activities about Shape. Assessment of Shape. Geometric Concepts in the Early Grades. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Links to Technology. References. 5. Pattern, Function and Early Algebra. The Importance of Pattern. Principles of Pattern. Pose a Problem: Pattern Activities Pattern in Music and Art. Functions in the Primary Grade Classroom. Early Algebra. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. References. 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. Probability. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Links to Technology. References. 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. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Related Records and Tapes. Links to Technology. References. 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. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Links to Technology. References. 9. Understanding Our Place Value System. A Brief History of Base-Ten. The Unique Features of the Base-Ten System. Multiple Conceptions of 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. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Links to Technology. References. 10. Measurement. Definition. 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. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Related Records and Tapes. Links to Technology. References. 11. Problem Solving-Multiplication and Division. Definition. Readiness for Multiplication and Division. Children's Natural Strategies. Cognitive Background for Teachers: Classes of Problems. Remainders. Illustrations. Linking Problem Solving to Symbolic Representation. Rules of Operation. The Role of Zero. Helping Children Write Their Own Problems. Learning the Multiplication Facts. Summary. Ready-Set-Math. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Classroom Equipment. Related Children's Literature. Links to Technology. References. 12. Assessment. Assessment and Evaluation Defined. Curriculum Reform and Alignment. Assessment Strategies. Scoring Methods. Alternatives for Students in Inclusive Settings. Record Keeping. Summary. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. References. 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. Summary. Fieldwork - Clinical Log or Math Journal. Activities and Study Questions. Links to Technology. References. 14.Thematic Units. All about Bears (Preschool). The Circus (Preschool-Kindergarten). Insects (Preschool-Kindergarten). Peter Rabbit (First and Second Grade). Appendix A: The More or Less Game. Appendix B: Algebraic Solution. Appendix C: Glyph Clowns. Appendix D: Ten Strips. Appendix E: Dot Cards. Appendix F: The 5 Frame, The 10 Frame and the Double Frame. Appendix G: Bear Pong. Appendix H: First Grade Mathematics Informal Assessment. Appendix I: Bingo Card. Appendix J: One Hundred Chart. Appendix K: A Curriculum Web. Index.