count me in: intentional activities ... - liberty university
TRANSCRIPT
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Scholars Crossing Scholars Crossing
Faculty Publications and Presentations School of Education
9-2010
Count Me In: Intentional Activities for Numeric Reasoning Count Me In: Intentional Activities for Numeric Reasoning
Karen L. Parker Liberty University, [email protected]
Follow this and additional works at: https://digitalcommons.liberty.edu/educ_fac_pubs
Part of the Education Commons
Recommended Citation Recommended Citation Parker, Karen L., "Count Me In: Intentional Activities for Numeric Reasoning" (2010). Faculty Publications and Presentations. 201. https://digitalcommons.liberty.edu/educ_fac_pubs/201
This Conference Presentation is brought to you for free and open access by the School of Education at Scholars Crossing. It has been accepted for inclusion in Faculty Publications and Presentations by an authorized administrator of Scholars Crossing. For more information, please contact [email protected].
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Count Me In: Intentional Activities
for Numeric Reasoning
Karen L. Parker, Ed.D. Dean, School of Education
Liberty University
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Piaget’s Stages of
Cognitive Development
Infant
0 - 2 years old
Sensorimotor
Preschool
3 – 5 years old
Pre-Operational
Elementary
6 – 12 years old
Concrete Operational
Adolescent
13 – 18 years old
Formal Operational
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Piaget
Sensorimotor
(ages 0 – 2)
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Object permanency
(by age 2)
Objects still exist when out of sight
Example: peek-a-boo
6 9 May interfere with learning
certain numbers & letters
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To prevent writing numerals in reverse
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Piaget
Pre-Operational
(ages 3 - 5)
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Piaget
Concrete Operations
(ages 6 to 12)
Formal Operations
(ages 12 and above)
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Piaget’s Stages of
Cognitive Development
Infant
0 – 2 years old
Sensorimotor
Preschool
3 – 5 years old
Pre-Operational
Elementary
6 – 12 years old
Concrete Operational
Adolescent
13 – 18 years old
Formal Operational
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Pre-Operational vs. Concrete
Classification - categories
• Single feature (by age 6)
- size, shape, OR color [all circles]
• Several features (by age 7)
- shape AND color [all red circles]
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Pre-Operational vs. Concrete
SENSES vs. LOGIC
Conservation – stays the same
• Number (by age 6)
- objects – together/apart
• Mass (by age 7)
- clay – flat/round
• Weight (by age 9)
- scales
Reversibility - add/subtract
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Conservation – which one has more?
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Conservation – which one has more?
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Related math tasks
• Number sense and numeration
• Reciting numbers
• One-to-one correspondence
• Counting objects
• Patterns and relationships
• Size discrimination
• Shape discrimination
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NCTM Standards
for School Mathematics
National Council of
Teachers of Mathematics
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Number and Operations
• COUNT with understanding
• Connect number words,
numerals, quantities
• Recognize “how many”
• Use objects to add, subtract,
multiply, divide
Problem Solving:
Can you think of another way?
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Class: 4K
Concept: 20
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Class: 3K
Concept: Patterns
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l 2 3 4 5
Number line
Number line
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3
1 4
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The Number Train
www. learningplanet.com
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Count Your Chickens
www. learningplanet.com
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Touch Math
www. touchmath.com
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Algebra
• PATTERNS – recognize,
describe, and extend
• Relationships – sort, classify,
and order objects by size,
number, and other properties
Reasoning and Proof:
Why did you choose that answer?
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Class: 5K
Concept: Patterns
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Geometry
• SHAPES – recognize, name,
build, draw, compare, sort
• SPACE – over/under, up/down,
in/out, top/bottom
Communication:
Tell me how you found the
answer?
[books with rhymes, rhythm, numbers]
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3
1 4
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Class: 3K
Concept: Circles
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Class: 3K
Concept: in/out, over/under
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www. youtube.com
Communication
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Measurement
• MEASURE
- Standard & non-standard units
• Length, volume, weight, area
- Recognize
- Compare and order objects
• Time, money, fractional parts,
estimation
Connections:
Can you find it in our classroom?
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Class: 3K
Concept: Measuring
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Connections
Use a timer
throughout the day
for classroom
activities
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www. learningplanet.com
Connections
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Resources: book list in appendix
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Data and Probability
• GRAPHS: Objects, pictures
• Gather data to answer questions
• Sort and classify objects and
organize data
Representation:
Can you draw a picture?
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Graphs
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3 + 2 = 5
1 0
+ 3
1 3
Graphs
Also use
grids for
alignment
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Preschool children learn math
content and concepts through
intentional imitation and play.