Transcript Slide 1
The Standards for
Mathematical Practice
For Four Year-Olds
Becky Holden
October, 2012
The Framework is NOT
A checklist
Meant to stifle creativity
A curriculum
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Instructional Shifts
To focus strongly where standards focus
Coherence across grade levels
Rigor that requires: conceptual understanding,
procedural skill and fluency, and application
with intensity
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Common Core State Standards in
Mathematics
Standards for Mathematical Practice
Content Standards
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The Content Standards
Counting and Cardinality
Operations and Algebraic Thinking
Measurement and Data
Geometry
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Standards for Mathematical
Thinking
Ways mathematicians carry out their work
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Mathematical
Practice
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Lesson
Content Standards
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Practice #1 Make sense of problems
and persevere in solving them
Explain meaning to self and look for ways to
solve
Use concrete objects or pictures to
conceptualize and solve
Ask self, “Does this make sense?”
Or, try another strategy
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Which standards?
PK.CC.4
PK.CC.4a
PK.CC.4b
PK.G.2
PK.G.6
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Practice #2 Reason abstractly and
quantitatively.
Begin to recognize that a number represents
specific quantity
Then, connect quantity to written symbol
Quantitative- create representation of problem
showing meaning of quantities
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Which standards?
PK.CC.4
PK.CC.4a
PK.CC.4b
PK.OA.1
PK.OA.2
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Practice #3 Construct viable arguments
and critique the reasoning of others
Construct with objects, pictures, drawing,
actions
Answer:
• “How did you get that?”
• “Why is that true?”
• “How do you know?”
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Which standards?
PK.CC.4
PK.CC.4b
PK.CC.6
PK.MD.3
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Practice #4 Model with mathematics.
Students experiment representing in multiple
ways: numbers, drawing pictures, using
objects, acting out.
Students connect different representations and
explain the connections
Students use models as needed
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Which standards?
PK.OA.1
PK.OA.2
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Practice #5 Use appropriate tools
strategically.
Decide when tools might be helpful
Estimating could be a tool
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Which standards?
PK.MD.1
PK.MD.2
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Oops!
Filling the area.
What could be an effective tool?
PK.MD.2
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Practice #6 Attend to precision.
Clear and concise language
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Which standards?
PK.G.3
PK.G.4
PK.G.5
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Practice #7 Look for and make use
of structure.
Begin to notice pattern or structure
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Which standards?
PK.MD.1
PK.MD.2
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Practice #8 Look for and express
regularity in repeated reasoning.
Students notice:
• Repetitive actions in counting
• Repetitive actions in computation
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Questions/Discussion
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