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Preschool Math Standards: Number Sense

7/9/2014

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Often people think of preschool math as nothing beyond counting and numbers. However, it is the teacher's duty to prepare each child for every field of mathematics. There are five main areas into which we group our standards: Number Sense, Geometry, Measurement, Sorting and Patterning, and Problem Solving.

This blog entry will cover the Academic Standards that fall under the Number Sense category.

While repeated exposure to activities/games that include these concepts is paramount to the child's understanding, it is important to understand that a young child may not "get" a particular concept until he is developmentally ready.
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Number Sense
Rote Counting -  Rote counting is the ability to name the number words in the correct sequence. 
One-to-One Correspondence - One-to-One Correspondence is the ability to pair one object with one number while counting objects (the child says "one" as she touches the first object, "two" as she touches the second object). A child may have one-to-one correspondence to seven or to seventy. The object is to build this until a child has one-to-one correspondence indefinitely.
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One-to-One Correspondence may also be practiced (without counting) by matching one object to one specified space. In the photo below on the left, a child is placing one bean into each section of an ice cube tray. In the photo on the right, the child is placing one cookie onto each square of his game board. 
Numeral Recognition - Numeral Recognition is the ability to visually recognize and name numbers.
Quantification - Quantification is the ability to answer "How many?"
Conservation of Number - Conservation of Number is the ability to understand that the number of objects does not change no matter how they are arranged. (In each of the photos below, there are ten chips. There are a different number of black vs. white chips in each photo, and although the chips are physically arranged differently, there are still ten chips in each photo.)
Comparing Sets - Comparing Sets is the ability to determine which set between two or more sets, has fewer, more or an equal number of objects.
Counting Forward - Counting Forward is the skill used when a child can begin at a given number and continue counting. For example, if a child rolls two dice (six and two) he may point to the first die and say "six" and then point to the second die and continue with "seven, eight".
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Inclusion - Inclusion is the skill used when a child must count out a given number of items from a larger set. If instructed "hand me three gems," the child will include three gems.
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Sequencing -  Sequencing is using a rule to order numbers, colors, or parts of a story.
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Number Sense is just one small part of preschool mathematics. We have broken Number Sense into nine standards:


Rote Counting
One-to-One Correspondence
Numeral Recognition
Quantification
Conservation of Number
Comparing Sets
Counting Forward
Inclusion 
Sequencing 


In our classroom, each lesson, game or classroom material has been intentionally planned and placed in the room to fulfill our Academic Content Standards. 
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    Wendy Joy Yohman
    Eleven years teaching experience
     at a small private  school. 
    Current preschool supervisor.
     Bachelor's Degree in 
    Psychology with an emphasis
     on educational kinesiology 
    (how different movements 
    activate certain areas of the 
    brain). 

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