Transcript 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
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