Overarching Principles
These principles should be kept in mind at all times when thinking about preschool
curriculum and working with young children.
1.
All children are capable of learning
2.
Children show individual differences in development
3.
Knowledge of child growth and development is essential for program
development and implementation
4.
Children’s language skills are the best indicators of academic success
5.
Developmental domains are highly interrelated
6.
Young children learn by doing
7.
Families are the primary caregivers and educators of their young children
Overview of the Math Preschool
Learning Experiences

Number Sense

Patterns and Relations

Shapes and Spatial Sense

Measurement

Data Collection and Analysis
Review the Overview of Math document before continuing this
module.
Number Sense 1
1. Listen to and say the names of
numbers in meaningful contexts.
Children need to learn to say
numbers and connect them to
the appropriate quantities.
.
Video clip: Five Little Monkeys Video
Image courtesy of Kathy Cassidy
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b78bcb2dd_o.png) (2009) AttributionNonCommercial-ShareAlike 2.0 Generic (CC BY-NCSA 2.0)
Number Sense 2
2. Connect many
kinds/quantities of concrete
objects and actions to
numbers.
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Commons Attribution-NonCommercial-ShareAlike
2.5 License)
Number Sense 2
Number Sense 3
3. Use positional language and
ordinal numbers (first,
second, third) in everyday
activities.
Number Sense 4
4. Use concrete objects to solve
simple addition and
subtraction problems using
comparative language
(more than, fewer than,
same number of).
Image courtesy of Ricardo G. Silveria
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d_o.jpg) Attribution-NonCommercial-ShareAlike 2.0 Generic
(CC BY-NC-SA 2.0)
Number Sense 5
5. Observe and manipulate
concrete examples of whole
and half.
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/09_18_2---Pizza_web.jpg?&k=Pizza)
Creative Commons AttributionNoncommercial-No Derivative Works 3.0
License
Number Sense 5
Here are two books that can be
used to talk about whole
and half fractions. These
books provide connections
to literacy standards as
well.

Pallotta, Jerry. (2002) Apple
Fractions. New York, New
York: Scholastic. Illustrated
by Rob Bolster

Murphy, Stuart. (1996) Give
Me Half! New York: Harper
Collins. Illustrated by G.
Brian Karas
Number Sense 6
6. Examine, manipulate, and
identify familiar U.S. coins
(penny, nickel, dime,
quarter) in play activities.
Number Sense 6
Patterns and Relations 7
7. Explore and describe a wide variety of concrete objects by
their attributes.
Image courtesy of Chris
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Patterns and Relations 8
8. Sort, categorize, or classify objects by more than one attribute.
Click the link to watch the a child creating a pattern: Patterns
Patterns and Relations 9
9. Recognize, describe, reproduce, extend, create, and compare
repeating patterns of concrete materials.
Bag and Tag Video
Shapes and Spatial Sense
10
10. Investigate and identify materials of various shapes, using
appropriate language.
In this video, children learn about shapes in their environment: Shapes video
Shapes and Spatial Sense
11
11. Explore and identify space, direction, movement, relative
position, and size using body movement and concrete
objects.
On
In
Under
Behind
Over
In front of
Above
Below
Puzzle Video
High-low
Over-under
In-out
Near-far
Big-small
Shapes and Spatial Sense
12
12. Listen to and use comparative words to describe the
relationships of objects to one another.
Measurement 13
13. Use estimation in meaningful ways and follow up by
verifying the accuracy of estimations.
Name
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Guess
Sarah
50
John
8
Lei
25
Michelle
16
Ryan
12
Alana
3
Joanna
42
ACTUAL
33
Measurement 14
14. Use nonstandard units to measure length, weight, and
amount of content in familiar objects.
Measurement video
Data Collection and Analysis
15
15. Organize and draw conclusions from facts they have
collected.
Watch this video on graphing with blocks: Blocks video
Next Steps

Go to Blackboard and read the three (3) articles provided for
the math module.

Review the Scope and Sequence checklist.

Take the quiz to check your understanding of the standards.

Complete the assignment for the math module and turn it in
via Blackboard.
Congratulations! You have completed the math module.