THINKING WITH NUMBERS
Important Pedagogical Content Knowledge For
Teaching Addition & Subtraction
Teachers, Teacher Educators, Teacher Education Students, Curriculum Supervisors
Take the self exams below to test your understanding of important content
knowledge useful for teaching addition and subtraction.
Addition & Subtraction Concepts
What is addition? What is subtraction? Representing addition & subtraction with models and number sentences.
Reasoning Strategies for Addition
Using a strategy: count on, using ten, using doubles. Representing addition strategies with models and number sentences: count on, using ten, using doubles.
Reasoning Strategies for Subtraction
Using a strategy: counting, using ten, using known facts. Representing subtraction strategies with models and number sentences: counting, using ten, using known facts.
Reasoning Strategies for Mental Math, Estimation & Algorithms
Counting with tens, using front-end strategies, benchmarks & nice numbers, known facts, bounds, rounding. Matching models and thinking, matching models and symbols, meaning of symbols.
Using Properties & Generalizations
Addition: Commutative, Associative, Identity, & Inverse. Addition & Subtraction Generalizations. Equity Propertis: Reflexive, Symmetric, Transative, & Subtitution.
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