LFIN
The Learning Framework in Number
What is subitizing?
Instantly naming the number of items in a collection without counting
What kind of assessment task could you give to determine if a child is at least Construct 1?
Tasks that involve having the child form a collection of a specified size and count collections involving visible items
Why would asking a child to locate a given number on a 100’s chart not be the way to assess numeral identification?
The hundreds chart provides support for locating the number.
NWA
Number Word After
What visual models are used to aid students in developing structuring knowledge?
5, 10 & 20 Frames
Bead Rack
Fingers, dots & cubes precede the frames and bead rack
The development of a “Numerical Composite” is associated with which Construct?
Construct 3 – Initial Number Sequence
Give an example of a classroom activity that is working on a Number Words and Numerals skill?
One example:
Teacher says a number and students say the three numbers that come before.
CF1
Counts From One
Use structuring knowledge to demonstrate how a child could solve 8 + 8.
One way could be:
5 and 5 is 10;
3 and 3 is 6;
so 8 and 8 is 16
Use the problem 9 + 4 to demonstrate the difference between unitary and composite strategies.
Unitary: 9… 10, 11, 12, 13 (or any example of Constructs 1 – 3)
Composite: 9+1 is 10 and 3 more makes 13 (or any example of Construct 5)
WHAT IS THE DIFFERENCE BETWEEN “COUNTING” AND “FORWARD NUMBER WORD SEQUENCE”?
Counting involves the enumeration of a collection of objects (in a Steffe sense)
Forward Number Word Sequence refers to saying the words in order
CIFEN
Classroom Instructional Framework for Early Number
How does structuring numbers support addition and subtraction strategies?
Structuring numbers tools and teaching promotes composite thinking and helps students move from a construct 3 to a construct 5.
However, structuring numbers is still a skill so teachers need to link to addition and subtraction situations.
Demonstrate a solution to the problem 13 – 9 that would indicate Construct 4 thinking.
Count-down-to: 13…12, 11, 10, 9 “4”
In what ways does Number Words and Numerals instruction support addition and subtraction?
It gives students the verbal and written sequences to apply to addition & subtraction situations.