Developing Number Concepts in

Early Childhood

Sponsored by Central Maine Inclusive SchoolsSeptember 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 Ordinal Numbers

Ducks in a Line

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

Seeing Quantities without Counting

Subitizing Five Frames Ten Frames

Activities to Support Part-Whole Relationships

Five—Hide Some Red and Black Ten Mice in a Cage

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

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

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.

Addition Facts Strategies

Doubles Doubles plus or minus one Make a ten Near Doubles

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

Remember:

Solving word problems helps students learn their facts.

Students do not need to know their facts before they are introduced to problem solving.

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

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?”

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

Mini-lessons to Support Addition

Making Jumps of ten

Using ten

Moving to the next friendly number