Important Pedagogical Content Knowledge For
Teaching Addition & Subtraction
 
Self Exams
 
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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