Early Numeracy

Early Numeracy
Laurie Danahy
Oregon Head Start PreKindergarten Specialist
Oregon Department of Education
Adapted by Rachel Aird, The Family
Africa
Background material for this presentation is primarily drawn from
the: “The Head Start Leaders Guide to Positive Child Outcomes”

TRY TO MEMORIZE THESE
SYMBOLS
Top to bottom, left to right: 1, 7, 12, 3, 6, 4, 5, 10, 8, 9, 11, 2

NOW TEST YOURSELF:
5359502262995807

•This is a taste of what a
child has to accomplish when
learning numbers.

Numeracy
It is not just about
counting 1 to 10.

Numbers in our lives…
 Think about getting to this workshop
today. Were there any numbers or
math concepts involved in the process?
What were they?
 Turn to a partner. Share a favourite
activity or sport. Together, list at least
three ways numbers or maths are
involved in each of your activities.

Numbers in children’s lives
Numbers are everywhere and
we can make Maths a lot of
fun if we use things in the
child’s environment.

Numbers in young children’s
lives

How many bricks in the
tower?
How many red bricks?

How many blobs of paint?
How many stripes of red
paint?
Etc.

To play Hopscotch children
need to know their numbers.
You throw a stone and you
hop that many squares. There
are other simple games you
can play like this.
How many swings? How many
children can swing at the
same time?

What is early numeracy?
Numeracy or "numerical
literacy." It refers to the
ability to reason with
numbers and apply
mathematical concepts.
*T

 Early numeracy refers to
the foundations of
mathematical reasoning,
acquired in early
childhood.

Why is early numeracy important?
 helps children observe, organize and find
meaning in their environment
 focuses on reasoning, connecting ideas
and thinking logically – important tools
children can use to make sense of their
world
 relates to other curriculum areas, such as
science, social studies, art and music

Why is early numeracy
important?
And…
Math knowledge, interest, and
skill are basic to children’s
success
in school.

What does the research say
about early numeracy?
According to the National Council of Teachers
of Mathematics (NCTM)…
 Learning about maths is neither short-
term nor rote (e.g. chanting 1 -10)
 Children need to manipulate objects
and explore math concepts in a
materials-rich environment.

 This means they need to have the
opportunity to touch things when
they count.
 Use a variety of different things to
count: blocks, dolls, cars, dried peas
or beans etc.

 To give children the
opportunity to understand
mathematical concepts
through real events e.g.
time, length, weight etc

According to the National Council of
Teachers of Mathematics (NCTM)…
 Technology, (computers,
calculators) if used age
appropriately, can be one
component of early math
education.

 Children need time and
freedom to construct, test,
and reflect on (think about)
their ideas about maths.

According to the National Council of
Teachers of Mathematics (NCTM)…
 Natural conversations with adults help
children extend their thinking about
maths
 Activities/concepts should be grounded
in the familiar and their everyday life.

According to the authors of “Mathematical Language
in Early Childhood Settings: What Really Counts?” *
 Language is an important tool for
teaching mathematics.
 People who work with young children
are not using enough mathematical
language, especially language that goes
beyond the most basic concepts.

According to the authors of “Mathematical Language
in Early Childhood Settings: What Really Counts?” *
 The most effective mathematics
instruction occurs when people working
with children take a “playful approach.”
 We need to “stack the deck” so that
children have a wealth of opportunities
to encounter interesting mathematics.

In other words…
We support young children’s numeracy
development when we purposefully
introduce and use mathematical
language and concepts during
enjoyable activities and every day
experiences.
Some people call this process
“mathematizing.”

Mathematical language and concepts
for young children fall into three
main categories
 1. Numbers and operations
 2. Geometry and spatial sense
 3. Patterns and measurement

1. Numbers and operations
 Number sense involves the
ability to think and work with
numbers and to understand
their uses and relationships.
 “Operations” is the formal
mathematical term referring to
addition, subtraction,
multiplication, and division of
numbers.

Children learning about numbers and
operations…
 demonstrate increasing
interest in and awareness of
numbers and counting as a
means of solving problems
and determining quantity
 Begin to associate number
concepts, vocabulary,
quantities, and writing
numerals in meaningful
ways

operations…
 Develop increasing ability to
count in sequence to 10
and beyond
 Begin to make use of one-
to-one correspondence in
counting objects and
matching groups of objects

Remember
 that just because a child can count
to 10, it does not mean they
understand how many the number 10
represents.
 They need to understand what 1
means by showing them what 1 looks
like, and what 2 looks like etc. They
need to understand that 10 is more
than 9 etc.

operations…
 Begin to use language to
compare numbers of
objects with terms such as
more, less, greater than,
fewer, equal to
 Develop increased abilities
to combine, separate and
name “how many”
concrete objects

Numbers and operations: Opportunities to
Mathematize
 Encourage children to count all sorts of
objects and events and
to think about quantity and number.

 Involve children in
 matching and sorting objects
 using one-to-one correspondence
 ordering objects that vary in
color, size, or other dimensions

 Counting – count plastic animals,
bricks, tables, chairs. Make sure
they learn to move their finger to
the next object as they count
 Matching – coloured lids to colored
paints. One to one – paint brush
for every paint cup

Mathematize
 Draw attention to numbers
and how they are used such
as addresses, prices of objects
and shoe sizes.
 Use strategies that help
children learn to count
accurately and efficiently such
as pointing
to/touching/moving each
object being counted.

 Draw attention to numbers. Ask
someone for a favourite number
between one and ten. Ask
everyone to look around the
room for that number.
e.g. Can you see a number 5?

Mathematize
 Talk about the parts
that make up a whole -
a concept that underlies
addition and
subtraction.
 Use words related to
estimation – more than,
less than, about, nearly,
approximately, and in
between.

Example of a game
 Bring up six volunteers. Count
the whole group. Count and
recombine sub groups (three
with sweaters, three with
turtlenecks; two with tie shoes,
four with buckle shoes; etc.

Mathematize
 Ask children to estimate how
much, how long or how
many. Encourage them to
test for the actual answer
 Play games that include
counting and using numbers
(Simon Says, simple board,
card or dice games,
hopscotch)

 How many bricks ( or sweets or
balls or pencils) do you think I
have?
 children guess and then count
them together.

2. Geometry and Spatial Sense
 Geometry is the area of mathematics
that involves shape, size, space,
position, direction and movement. It
helps describe and classify the world
we live in.
 Spatial sense gives children an
awareness of themselves in relation
to people and objects.

Children who are learning about
geometry and spatial sense…
 Begin to recognize, describe,
compare, and name common
shapes, parts and attributes.
 Progress in the ability to put
together and take apart
shapes.
 Begin to be able to determine
whether or not two shapes
are the same size and shape.

Show growth in
 matching,
 sorting,
 putting in a series,
 and regrouping
objects according to one or two attributes
such as colour, shape, or size.

Build an increasing
understanding of
 directionality, order and
position of objects and
 words such as up,
down, over, under, top,
bottom, inside, outside,
in front and behind.

Geometry and spatial sense:
Opportunities to Mathematize
 Encourage children to
identify different shapes as
they draw, look at books,
work with puzzles, build
with blocks or take a walk.
 Give children many
opportunities to handle
objects such as blocks,
boxes, containers, shape
sorters and puzzles.

 Encourage children to
climb in and out of boxes
or large block structures,
on or around outdoor
equipment, and over,
under, around, through,
into, on top of, and out of
different things to
experience themselves in
space
 Repeat the above with a
doll or animal.

 Encourage children to make new
shapes by putting materials together
and taking them apart in different
arrangements. They can do this by
 cutting and folding paper
 molding clay
 playing with blocks

 Six volunteers – give each a shape,
name and describe the shapes as
handing them out. Challenge them
to find someone that has a shape
that matches theirs. Then ask
them to use their shapes to make a
new shape.

Introduce spatial vocabulary, including
 location and position words – on/off,
over/under, in/out, above/below, in
front/behind…
 movement words – up/down,
forward/backward, toward/away from,
straight/curving…
 distance words – near/far, close to/far
from, shortest/longest…

3. Patterns and Measurement
 Understanding and identifying
patterns and relationships means
recognizing rhythm and repetition as
well as sorting, categorizing, and
ordering from shortest to longest,
smallest to largest.

 Measurement is an important
way for young children to look
at relationships in the real world
– length, height, weight, time.

patterns and measurement…
 Enhance their abilities to recognize, duplicate,
and extend simple patterns using a variety of
materials.
 Show increasing abilities to match, sort, put in
a series, and regroup objects according to one
or two attributes such as shape and size.

 You can use coloured blocks
and make a pattern e.g. red,
blue, green, red, blue green
and then put red and ask what
comes next in this pattern?

patterns and measurement…
 Begin to make
comparisons
between several
objects based on
one or two
attributes

 Which is the biggest animal?
 Which animal is the
smallest?
 Is this brick bigger or smaller
than this one?

 Show progress in
using standard and
non-standard
measures for length
and area of objects
 Measure with a tape
measure or measure
with a piece of string

Patterns and measurement: Opportunities
to Mathematize
 Increase awareness of patterns. Help
children find patterns in
 designs and pictures,
 movements,
 reoccurring events.
 Engage children in creating and noticing
patterns as they play.

 Identify pattern in an
illustration or picture.
 Ask them to look for other
patterns around the room

to Mathematize
 Let children figure out their own units for
measurement. Children better understand
standard units like centimetres and
metres when they have lots of
experiences working with their own ways
of measuring and comparing.

to Mathematize
 Involve children in
activities such as block
building, cooking, crafts,
science experiments and
other experiences that
involve measurement.

to Mathematize
 Look for opportunities to
help children make
comparisons and
measurements of
volume, height, weight,
length, and
temperature.

 Have some packets of food and
ask which one do you think is
heavier, then you can look at
the weight on the packet and
see who is right.

Understanding Volume
 Use jugs and cups with water.
Which one holds the most
water?
 See how many cups of water it
takes to fill the jug.

to Mathematize
 Provide simple experiences
that help children begin to
develop and understanding
of time concepts…
 time events by counting out
seconds
 compare how long different
activities take

to Mathematize
 start with daily time
references (after the story,
before lunch) and progress
to more abstract concepts
(yesterday, tomorrow,
months, years, etc.

to Mathematize
 Use simple charts and graphs to
help children practice number
skills and make comparisons.
Capitalize on children’s interest
in comparing all sorts of things
about themselves. Try charting
things like…
 favourite foods or colors
 eye/hair color
 types of pets

Pair and Share:
Storytime ideas
 Choose a book and consider it’s
“mathematizing” potential.
 Identify opportunities to discuss and explore
 number and operations,
 geometry and spatial sense and/or,
 patterns and measurement.
 Brainstorm story-related, hands on, concrete
numeracy activities.

Storytime Ideas: Small Groups
 Get into a group of four.
 Each group should briefly present their
book and the “mathematized”
discussion and activities it stimulated.
 Each small group should identify one
unique idea they’d like to share with
the whole group.

Storytime Ideas: Whole Group
Share a unique “mathematized” storytime
activity and its related book.

Three of everything
 3 bowls – a very big bowl for
Daddy bear
 A medium sized one for Mummy
bear
 And a small bowl for baby bear
 And so on with the chairs and the
beds.

Too hot, too cold, too salty,
just right

Too high, too soft, just right.

Too hard, too soft, just right

Thank you!
Go forth and
“mathematize”!

Questions
 1. Numeracy ("numerical literacy.“)
refers to the ability to reason with
numbers and apply mathematical
concepts.
 True or False

 2. Is Maths just about learning to
count?
 A) Yes
 B) No
 C) I don’t know

 3) Mathematical language and concepts
for young children fall into three main
categories: (choose the correct three)
A)Numbers and operations
B)Geometry and spatial sense
C)Patterns and measurement
D) Learning the alphabet
E) Geography

4. “Operations” in Maths
means
 A) addition, subtraction, multiplication,
and division of numbers.
 B) Going into hospital to have your
appendix removed.
 C) I have no idea

 5) Mathematics has nothing to do with
language
 True or False

 6) Which activities can be used to
teach maths?
 A) Reading a story
 B) Playing with water using cups and jugs
 C) Recognising patterns
 D) measuring
 E) Counting how many seconds it takes to
run a distance.
 F) Teaching about position by using a
cardboard box and a doll.
 G) All of the above.

Answers
 1. Numeracy ("numerical literacy.“)
refers to the ability to reason with
numbers and apply mathematical
concepts.
 True

 2. Is Maths just about learning to
count?
 B) No

 3) Mathematical language and concepts
for young children fall into three main
categories: (choose the correct three)
A)Numbers and operations
B)Geometry and spatial sense
C)Patterns and measuremen

4. “Operations” in Maths
means
 A) addition, subtraction, multiplication,
and division of numbers.

 5) Mathematics has nothing to do with
language
 False

 6) Which activities can be used to
teach maths?
 A) Reading a story
 B) Playing with water using cups and jugs
 C) Recognising patterns
 D) measuring
 E) Counting how many seconds it takes to
run a distance.
 F) Teaching about position by using a
cardboard box and a doll.
 G) All of the above. They can all be used.

Early Numeracy

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