REPLACEMENT
REPLACEMENT
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What does it mean?
What does it mean?
“Replacement” is the notion that one item might fill a position more appropriately than other possible candidates.
Why is Replacement in the Functions family of seeds?
Why is Replacement in the Functions family of seeds?
Substitution (to which replacement is a precursor) is an essential tool when students work with functions.
How does this connect to Algebra?
How does this connect to Algebra?
Replacement is “a precursor to the idea of variable in formal algebra” ... “variables are essential in formalizing structure, pattern, and generalization in algebra, and thus a key focus of algebra instruction” (Walkoe & Levin, 2020)
What might children say?
What might children say?
Once they have made a substitution, children may offer narration which highlights/informs others that a substitution has been made.
What might children do?
What might children do?
Children may laugh or see humor when substitutions are not logical or appropriate; their perceiving this as humorous indicates that they understand something essential about the nature of replacement.
“Show me another one” or “show me a different one” may prompt children to think in terms of replacements
Imaginative play: a child opts to use a stuffed panda (not a pencil) as a patient as they pretend to be doctor
Children’s songs and nursery rhymes where children to fill in the blanks:
Old McDonald - “and on that farm he had a … PIG!”
“Point your finger up, point your finger down, put it on your … NOSE”)
B-I-N-G-O - each of the letters is eventually replaced with a clap
Replacement might also be used in secret codes, where children substitute one letter or symbol for another in order to communicate covertly.
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