These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
Finding the Math for Infants Toddlers and Twos Laura - - PowerPoint PPT Presentation
Finding the Math for Infants Toddlers and Twos Laura - - PowerPoint PPT Presentation
Finding the Math for Infants Toddlers and Twos Laura Keeley-Saldana, M.Ed and Bonnie MacKenzie, M.Ed Region IX TTA Network These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- This project was developed in 2016 by CHSA to provide 2 day
trainings for Head Start providers in California.
- The training was intended for Family Engagement Staff and
Education Staff.
- We have modified this training to focus on Infants, Toddlers and
Twos, specifically in Home Settings.
- All of the materials (and there are a lot) are currently available
- n the CHSA website: caheadstart.org/early_math.html
- This project was funded by a grant from the Heising-Simons
Foundation.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- We will consider
- The Why, What, and How of early math development and
learning and the critical role of adult support
- How Math Talk supports math learning
- Young children’s math knowledge and development in 4
important areas – number and operations – geometry and spatial sense – patterns – measurement
- How Environments play a role in early math development
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- Activity: Everyday Math Bingo
- Math is an important tool, not just
in school but in everyday life.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Why is Math Important?
- Early Math and School Readiness: Evidence from the ECLS-K
- Math knowledge gap at kindergarten entry for children from
lower SES families (Denton & West, 2002)
- Children’s math knowledge at K-entry predicts 5th grade AND
8th grade achievement in math and reading (Claessens, Duncan, & Engel, 2009; Claessens & Engel, 2013; Duncan et al., 2007)
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Head Start Early Learning Outcomes Framework 2015: Mathematics Development
- Infant/Toddler Domain: Cognition
Sub-domain Emergent Mathematical Thinking
- Preschool
Domain: Mathematics Development Sub-domain Counting and Cardinality Operations and Algebraic Thinking (includes Patterns) Measurement Geometry and Spatial Sense
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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What is Early Mathematics?
What is Early Mathematics?
- Early Math Knowledge includes skills and concepts
related to
- Number and Operations
- Patterns
- Geometry & Spatial Sense
- Measurement and Comparison
Frye et al., 2013; Ginsburg et al., 2008; NAEYC & NCTM, 2002; National Research Council, 2009; Sarama & Clements, 2009
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- Early math knowledge is rooted in children’s everyday
experiences and interactions, beginning in infancy.
- Young children develop math skills and concepts as they
– explore, think and talk about concrete objects and situations; – learn math language and skills from others.
- Early math forms a “concrete” foundation for symbol-based
school math.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Math Talk and Math Learning
- More “number talk” during parent-toddler interactions
related to better performance on a number task at 46 months (Levine et al., 2010)
- More “spatial talk” during parent-child interactions from 14
to 46 months predicted – the child’s spatial language production and – performance on non-verbal spatial reasoning tasks at 54 months (Pruden, Levine, & Huttenlocher, 2011)
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Examples of Math Talk with Young Children
- Parent number talk to 14- to 30-month-olds (Levine et al., 2010)
– “Five little monkeys wake up in the sun.” – “Let’s count the balloons. Ready? One, two, three, four, five.” – “I’ll start from disc two.”
- Parent spatial talk to 14- to 46-month-olds (Pruden et al., 2011)
– Shape words (circle, triangle, shape) – Dimensions (big, tiny, long) – Spatial features (bent, curvy, side, corner)
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- Math Talk is using words about number (or
quantity), shapes, space, and dimensions
- Some examples
- number words (one, two, three, etc.), many,
few, more than, same number
- circle, square, flat, round, pointy, wide
- in, on, under, up, down, forward, backward
- big, little, taller, heavier, shortest, fastest
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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What Kinds of Experiences Support Early Math
Learning?
- Evidence-based Teaching Practices
- Experiences designed for how young children learn
– play, exploration, hands-on – focused math activities and games with concrete objects
- Developmental approach to teaching skills and concepts
- Emphasis on math-related language
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Area one: Number and Operations
Infant and Toddler Beginnings
Toddlers begin to use number and operations when they
- understand and use number-words and other words that
refer to quantity.
- use the word “two” to accurately to label groups of two
- bjects.
- recite strings of counting numbers, like “one-two-three” or
“one-two-four-six.”
- try counting objects—touching or pointing and saying
number-words.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- Parents and staff support
infants’ and toddlers’ learning by
- providing opportunities for
exploring quantity with
- bjects.
- talking about quantity—
more, less, a lot, a little
- using number words.
- singing songs, reading
books, and playing games.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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written numerals spoken number words
Adapted from Shane, R. (1999). Making connections: A “number curriculum” for
- preschoolers. In J. Copley (Ed.) Mathematics in the early years, (pp. 129-134). Reston, VA:
NCTM.
concrete objects
3 “three”
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
Area Two: Patterns What is a pattern?
- A pattern is a regular, predictable arrangement
- f things.
- Objects, numbers, shapes, sounds, actions, or
events can make a pattern.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- Infants and Toddlers
- experience and respond to
patterns in language, play, daily routines, and interactions.
- delight in repetition
- repeat action sequences
- ver and over again in their
play (put it in, dump it out)
Copley, 2010; Geist et al., 2012
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Infants and Toddlers
infantpatterns
- What do you notice
about this infant and caregiver’s interaction?
- What do you think is this
infant noticing?
- How is the adult
supporting the infant’s learning about patterns?
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Area Three: Geometry and Spatial Sense
- Infants and Toddlers
- explore shape and spatial
relations in their play with
- bjects
- develop spatial sense as
they move their bodies through space
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Parents and staff support infants’ and toddlers’ learning by
- providing opportunities
–to manipulate shapes –to move through space in a variety of ways
- playing games with shapes
and space (rolling a ball back and forth)
- using shape and spatial
vocabulary
“You’re coming down the stairs. Did you go over the bridge – up one side and down the other?”
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Area four: Measurement and Comparison
- For young children, measurement is primarily
about comparing. –They evaluate and compare things based
- n attributes like length or area.
–They tend to use perceptual cues to compare.
- Measurement is about “big”, “little”, “tall”,
“short”, etc. for very young children.
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Adults support infants’ and toddlers’ learning by
- providing opportunities to
explore properties like size and capacity.
- using measurement
words.
- emphasizing measurable
dimensions in playful games and interactions.
“Look, here’s a tiny little mouse and here’s a great big
elephant.”
Rivera, et al., unpublished manuscript
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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- Infants and Toddlers
- notice size and other
dimensions.
- explore and learn about
attributes such as size, weight, and capacity in their play.
- begin to understand and
use words like, “Big!”
Sinclair et al., 1989; Sera & Smith, 1987
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Find the Math!
- What is the child doing?
- What math learning might be going on?
- Which areas of math come to mind?
(e.g., number, geometry & spatial sense, measurement & comparison, patterns)
- What might adults say or do to
mathematize the child’s experience—to bring out the math?
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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➢ What is the baby doing? ➢ What math is happening here? ➢ What might you do or say support his developing math concepts?
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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In the Kitchen
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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In the Garden
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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In the YARD
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Just Hanging Out
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Finding Math in Children’s Literature
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Math in Children’s books
What Early Math concepts and dimensions come to mind? What other math concepts do you notice? How could you “mathematize” the story to bring
- ut the measurement concepts? (words to use;
questions to ask) Any ideas for “follow-up” experiences?
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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How can you share ideas with families about how reading with their child can support math learning?
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Where do children learn Math?
Where Do Children Learn Math? Learning Environments
–At home, at school, and in the community
- during play
- in daily routines
- through interactions
with family members and Head Start staff
These materials were developed for OHS/Region IX TTA Network under Contract No. HHSP233201500012C by STG International.
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Questions? Thanks for all your hard work today!
http://www.caheadstart.org/Early_Math_Handouts.html