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Preschool Math Standards: Measurement

7/11/2014

Preschool teachers pave the road for a deeper comprehension of mathematical understanding (manipulation of concepts rather than memorization). It is our goal to prepare each of our students for success in every area of mathematics. There are five fields into which we group our Math Standards: Number Sense, Geometry, Measurement, Sorting and Patterning, and Problem Solving.

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

Measurement

Comparing Sizes - Comparing the size of two objects according to length, weight, or volume. The sand and water tables are an excellent place for kids to experiment with volume.

Ordering Objects by Size - Ordering objects from largest to smallest (or smallest to largest) according to length, weight or volume.

Measuring Objects Using Non-Standard Units - Using chain links, cubes, blocks, paperclips or other non-standard units to measure the length, weight or volume of an object.

Measurement is just one small part of preschool mathematics. We have broken Measurement into nine standards:

Comparing Length
Comparing Weight
Comparing Volume
Ordering Objects by Length
Ordering Objects by Weight
Ordering Objects by Volume
Using Non-Standard Units to Measure Length
Using Non-Standard Units to Measure Weight
Using Non-Standard Units to Measure Volume

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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Preschool Math Standards: Geometry

7/10/2014

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In order for a child to have a comprehensive mathematical understanding, he must be exposed to mathematical concepts beyond numbers and counting. There are five fields into which we group our Math Standards: Number Sense, Geometry, Measurement, Sorting and Patterning, and Problem Solving.

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

Note: Many of our Standards may fall under several categories. In order to prevent repetition, some of the visual/spatial standards that could be grouped with Geometry have been grouped with the English/Language Arts Standards.

Geometry

Two-Dimensional Shape Recognition - Two-Dimensional Shape Recognition is the ability to visually recognize and name basic two-dimensional shapes such as square, triangle, circle, heart, oval, octagon.

Two-Dimensional Shape Description - Two-Dimensional Shape Description is the ability to describe a shape according to some of its attributes (it's round, it has four sides, it has three points).

Design Matching and Copying

Symmetry

Distinguishes Alike/Different

Three-Dimensional Shape Recognition - Three-Dimensional Shape Recognition is the ability to visually recognize and name basic three-dimensional shapes such as cube, cylinder, cone, and sphere.
Three-Dimensional Shape Description - Three-Dimensional Shape Description is the ability to describe a three-dimensional shape (it's round, it's shaped like a ball, it's a box-shape).

Geometry is just one small part of preschool mathematics. We have broken Geometry into seven standards:

Two-Dimensional Shape Recognition
Two-Dimensional Shape Description
Design Matching and Copying
Symmetry
Distinguishes Alike/Different
Three-Dimensional Shape Recognition
Three-Dimensional Shape Description

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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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.

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.

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".

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.

Sequencing - Sequencing is using a rule to order numbers, colors, or parts of a story.

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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Preschool Math Standards: Measurement

Preschool Math Standards: Geometry

Preschool Math Standards: Number Sense

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