Early Numeracy Progressions Sarah R. Powell, Ph.D. [email protected] @sarahpowellphd Element 1. Focus on critical content (skills, strategies, vocabulary, concepts, rules)

Comments; Ideas

2. Sequence skills logically 3. Break down complex skills into smaller instructional units 4. Design organized and focused lessons 5. Begin lessons with goals and expectations 6. Review prior skills and knowledge 7. Provide step-by-step demonstrations 8. Use clear and concise language 9. Provide examples and non-examples 10. Provide guided and supported practice 11. Require frequent responses 12. Monitor student performance 13. Provide immediate affirmative and corrective feedback 14. Deliver lesson at a brisk pace 15. Help students organize knowledge 16. Provide distributed and cumulative practice

Archer & Hughes (2011)

Counting Principles Stable Order

Ten Frame

One-to-One Correspondence

Cardinality

Abstraction

Order Irrelevance

Number Lines

Finger Counting

Basic Facts Addition

Subtraction

Multiplication

Division

Fluency Taped Problems

Cover-Copy-Compare

Constant Time Delay

Flash Cards

Place Value

Computation: Addition Anthony 227 + 185 =

Beth 227 + 185 =

Courtney 227 + 185 =

Daniel 227 + 185 =

Notes About Addition

Computation: Subtraction Emma 232 – 164 =

Fred 232 – 164 =

Gabby 232 – 164 =

Hannah 232 – 164 =

Notes About Subtraction

Computation: Multiplication Markus 183 x 27 =

Nate 183 x 27 =

Olivia 183 x 27 =

Patrice 183 x 27 =

Notes About Multiplication

Computation: Division Roscoe 815 ÷ 16 =

Samuel 815 ÷ 16 =

Tony 815 ÷ 16 =

Ula 815 ÷ 16 =

Notes About Division

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