Children use math all day long!

During every activity from counting the steps they climb, to sorting blocks and stating “there are more red ones”, to separating the carnivores from the herbivores (for the dinosaurs’ own safety of course!), children are using math.

Knowing the math skills your preschoolers are developing and should be developing will help you plan math across your curriculum and throughout your classroom.

### 16 Basic Preschool Math Concepts

16 of the basic preschool math concepts are:

Observation

Problem Solving

Language

One-to-One Correspondence

Number Sense

Shapes

Spatial Sense

Sets and Classifying

Ordering/Seriation

Comparing

Patterning

Counting

Measurement

Parts and Wholes

Numbers and Symbols

Graphing

Preschool math concepts overlap and are interrelated with preschool science concepts. In the field of Mathematics, the skills of classifying, comparing and measuring are referred to as Math Concepts. In the field of science, these skills are referred to as Process Skills.

Let’s look more closely at the 16 preschool math concepts your preschoolers learn throughout their preschool years. Note how each skill prepares the way for the next.

1.Observation:Using the sensesObserving is the first step in gathering and organizing information. Children use their senses to observe. When given a collection of items (for example apples) children use their senses to observe attributes such as color, size, sweet/sour, texture, and soft/crunchy.

2. Problem Solving:Convergent problem solving is the ability to gather individual pieces of information together in one’s mind and come to a single solution to a problem. Divergent problem solving is the ability to gather many pieces of information and consider a variety of possible solutions to a problem.

3. Language:Use math language throughout the day as well as during activities. Introduce new words with activities such as “This is a pattern! Red, white, red, white.” Other examples of math language we use in preschool are heavy, light, tall, short, round, rectangular, add to, take away, etc.

4. One-To-One CorrespondenceThis the understanding that one group of items has the same number of items as another. It is any activity where the children match one thing to another thing.For example: 1 button for each bear (see picture below) or 1 paper cup for 1 child, each hand has a mitten.

5.Number SenseNumber Sense is the concept of understanding number. It helps children to understand the connections between quantities, counting, more, less, etc.

6.ShapesShapes are also known as early geometry! That’s right…what is geometry but the study of shapes? At this age, children will not work with formulas for diameters and circumferences, but rather with identifying basic shape names and comparing, sorting, classifying and drawing them.

7. Spatial SenseSpatial sense is the ability to place items in the correct spaces or places using a logical design or a pattern. As an example, we see this when children are working on puzzles.

8. Sets and ClassifyingCreating sets is the ability to make groups of items in a logical way. It requires the skill of classifying.Classifying is a higher level skill than comparing. After observing and comparing, the children can take the information learned and begin sorting, classifying and grouping in logical ways. They begin to separate items based on observations. They may separate apples by those with and without stems, by size, by color, etc.

9. Ordering/SeriationOrder Seriation is another higher level skill than comparing. When ordering or seriating items, the child compares more than two items or groups and places the items in a logical sequence. They may place items in order based on size or shape (such as placing fruit in order from smallest to largest).Or they may place items in order based on first to last (such as placing pictures on a flannel board in order of when they happened in a story).

10. Comparing:Comparing is the ability to identify similarities in items or groups. Once children have had time to explore items, they begin to compare. They begin to notice similarities as well as differences such as same and different colors, weights and sizes of apples.

11. PatterningPatterns are the ability to place items in a specific order that repeats such as:Patterning a pompom caterpillar in an AB pattern—yellow, blue, yellow, blue Patterning the children in a line—boy, girl, boy, girl

12. CountingThere are 2 types of counting.Rote Counting- reciting numbers in order from memory.Rational Counting- is counting items in a group and then understanding that the last number stated IS the amount for the set.

13. MeasurementMeasuring includes many areas such as volume, weight, length, height, temperature and time.

14. Parts and WholesParts & Wholes is an early fraction skill! Fractions! In Preschool? You bet! At this age, children learn the basics of parts and wholes. Some examples in preschool are:If we break a Graham Cracker (a whole) in half we have 2 pieces and each of those pieces (the parts) are rectangles! We can rip or cut a piece of paper (a whole) in little pieces (parts).

15. Numbers and SymbolsWhen referring to Numbers and Symbols, we are referring to the understanding that a specific number is a symbol and that symbol stands for a set of specific items.

16. GraphingGraphing is a way of recording or communicating observations and data that the children have learned.