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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