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Developing Number Concepts in Early Childhood

Developing Number Concepts in Early Childhood. Sponsored by Central Maine Inclusive Schools September 13, 2007 Facilitated by Jim Cook. Major Ideas to develop:. Counting Part-Whole Relationships Addition and Subtraction Place Value. Counting. FNWS BNWS 1-1 Tagging Cardinality

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Developing Number Concepts in Early Childhood

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  1. Developing Number Concepts inEarly Childhood Sponsored by Central Maine Inclusive Schools September 13, 2007 Facilitated by Jim Cook

  2. Major Ideas to develop: • Counting • Part-Whole Relationships • Addition and Subtraction • Place Value

  3. Counting • FNWS • BNWS • 1-1 Tagging • Cardinality • Ordinal Numbers • Ducks in a Line

  4. Part-Whole Relationships Research says: Children who use the part-whole approach scored significantly higher on number concepts, problem solving, and place value than children who just counted by ones. Research Ideas for the Classroom, Early Childhood Mathematics

  5. Seeing Quantities without Counting • Subitizing • Five Frames • Ten Frames

  6. Activities to Support Part-Whole Relationships • Five—Hide Some • Red and Black • Ten Mice in a Cage

  7. Addition and Subtraction • Strategies to look for: • Count all • Count on • Count on from the first number • Count on from the greater number • Reasoning Strategy • Known Fact

  8. Activities to Support Addition and Subtraction • Turn Over Ten • First Off the Bridge • Problem Solving • Frumps Fashions • Problem Types Grid • X-Ray Vision • Close to 20

  9. Addition and Subtraction Facts Students should be encouraged to use reasoning strategies in order to learn addition and subtraction facts. Reasoning strategies are more powerful and efficient than counting by ones. Students who learn facts through reasoning strategies retain the knowledge better than students who simply memorize.

  10. Addition Facts Strategies • Doubles • Doubles plus or minus one • Make a ten • Near Doubles

  11. Subtraction Facts Strategies • Take away zero • Take away all • Count down • Doubles • How close? • Use ten • Take away from the ten • Find the total distance of each number from ten • Use related addition facts

  12. Remember: • Solving word problems helps students learn their facts. • Students do not need to know their facts before they are introduced to problem solving.

  13. Place Value • Goals for students • Understand the relationship between numbers and groups of tens and ones • Understand the significance of the position digits in numbers • Make the connection between place value and addition/subtraction

  14. Place Value Ideas to Remember • Students need to relate symbolic numbers to the word form and also to their base-10 representation • Ask students about numbers: • “How many groups of ten can be made? How many extras?” • “If there are six groups of ten and four extras, how many are there?”

  15. Place Value Activities • Count in more than one way • Count beans in more than one way • Read The King’s Commissioners • Count using tens and ones • Count dots on two-color counters • Count using base-10 blocks or tens frames • Connect tens and ones with addition and subtraction • The Game of Tens and Ones • Plus, Minus, Stay the Same

  16. Mini-lessons to Support Addition • Making Jumps of ten • Using ten • Moving to the next friendly number

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