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The Standards for Mathematical Practice For Four Year-Olds Becky Holden October, 2012

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. Instructional Shifts. To focus strongly where standards focus Coherenc e across grade levels

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The Standards for Mathematical Practice For Four Year-Olds Becky Holden October, 2012

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  1. The Standards for Mathematical Practice For Four Year-Olds Becky Holden October, 2012

  2. The Framework is NOT • A checklist • Meant to stifle creativity • A curriculum

  3. InstructionalShifts • To focus strongly where standards focus • Coherence across grade levels • Rigor that requires: conceptual understanding, procedural skill and fluency, and application with intensity

  4. Common Core State Standards in Mathematics • Standards for Mathematical Practice • Content Standards

  5. The Content Standards • Counting and Cardinality • Operations and Algebraic Thinking • Measurement and Data • Geometry

  6. Standards for Mathematical Thinking • Ways mathematicians carry out their work

  7. 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

  8. Which standards? • PK.CC.4 • PK.CC.4a • PK.CC.4b • PK.G.2 • PK.G.6

  9. 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

  10. Which standards? • PK.CC.4 • PK.CC.4a • PK.CC.4b • PK.OA.1 • PK.OA.2

  11. 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?”

  12. Which standards? • PK.CC.4 • PK.CC.4b • PK.CC.6 • PK.MD.3

  13. 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

  14. Which standards? • PK.OA.1 • PK.OA.2

  15. Practice #5 Use appropriate tools strategically. • Decide when tools might be helpful • Estimating could be a tool

  16. Which standards? • PK.MD.1 • PK.MD.2

  17. Oops! • Filling the area. • What could be an effective tool? • PK.MD.2

  18. Practice #6 Attend to precision. • Clear and concise language

  19. Which standards? • PK.G.3 • PK.G.4 • PK.G.5

  20. Practice #7 Look for and make use of structure. • Begin to notice pattern or structure

  21. Which standards? • PK.MD.1 • PK.MD.2

  22. Practice #8 Look for and express regularity in repeated reasoning. • Students notice: • Repetitive actions in counting • Repetitive actions in computation

  23. Questions/Discussion

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