Math
CDEC 1313
Nita Thomason, Ed.D.
(Williams)
Tell me mathematics, and I will
forget;
Show me mathematics and I may
remember;
Involve me … and I will
understand mathematics.
Physical Knowledge
(Piaget)
learning about objects in the
environment and their characteristics,
such as color, weight, and size
Logico-Mathematical Knowledge
(Piaget)
Includes relationships constructed in
order to make sense out of the world
and to organize information, such as
counting and classification
Zone of proximal development
(Vygotsky)
skills and understanding children are
on the verge of possessing
Logical-Mathematical Understanding
(Gardner)
form of intelligence in which person
thinks conceptually in logical and
numerical patterns
ECE Math Language
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Numbers and Operations
One-to-One Correspondence
Classifying and Sorting
Patterns, Function, and Algebra
Geometry and Spatial Sense
Measurement
Data Analysis and Probability
Problem Solving
Number Sense
A concept that develops over time as
children think about, explore, and
discuss mathematical ideas
-rote counting
-rational counting
One-to-One Correspondence
the pairing of one object to another
object or one group of objects to
another group of equal number
Classifying and Sorting
grouping objects by a common
characteristic, such as size, shape, or
color
Pattern
a sequence of colors, object, sound,
stories, or movements that repeats in
the same order over and over again
Geometry
the area of mathematics that involves
shape, size, space, position, direction,
and movement
Spatial Sense
comparisons that help children
develop an awareness of themselves
in relation to people and objects in
space
Measurement
finding the length, height, and weight
of an object using units like inches,
feet, and pounds
Data Analysis
Questions that cannot be answered by
direct observation can often be
assessed by gathering data. Data can
be organized, represented, and
summarized in a variety of ways.
Problem Solving
many different ways to solve a
problem and more than one answer is
possible
Cross-Curricular Connections
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Science
Cooking
Art
Language, Literacy, and Literature
Manipulatives
Sensory materials, involving visual
and tactile discrimination; that require
fine motor skill in coordinating the
eyes with what the hands can do
Selecting Manipulatives
• Are they safe?
• Are the ones with small parts used by older
children only?
• Are they durable and long-lasting?
• Are these toys, games, and materials
adaptable to many uses?
• Are they culturally diverse and nonsexist?
Manipulatives
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counters
puzzles
stacking blocks
sewing cards
snap blocks
magnetic symbols
parquetry blocks
Legos
pegs & boards
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wooden beads
board games
lotto
dominoes
checkers
coins
buttons
shells
flannel board pieces
Math Materials
• balances, weights,
scales
• calendar
• cans, egg cartons
• clocks
• geometric boards
• magnetic boards
• measuring cups,
spoons, pitchers
• number strips
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Objects to count
rulers, yard sticks
sandpaper numerals
shape puzzles
table games
telephones
thermometers
timer
unit, hollow, shape,
and table blocks
Assessment
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documentation of children’s talk
collections of children’s work over time
appropriate performance assessments
checklists
anecdotal records