Alyssa Keri presented Recursive Patterns.
March 26, 2009
Alyssa is a wonderful mathematics educator working this year with the University of Arizona's Arizona Teacher Initiative in the Department of Mathematics. She will return to her job teaching mathematics at Catalina Foothills High School next fall.
The participants worked with numerical patterns involving savings accounts, "double or nothing" bets, and The Tower of Hanoi. They extended the patterns and wrote recursive formulas. Participants also wrote "closed" formulas and discussed what information each type of formula divulges.
Some of the AIMS Standards addressed include:
1.2.1 Solve word problems that require powers.
1.2.7 Simplify expressions using the rules of exponents.
1.3.1 Use estimation to determine the reasonableness of a solution.
3.1.1 Use explicit and recursive formulas involving both subscripts and function notation to generate patterns.
3.1.2 Describe and model patterns.
3.1.3 Determine a specific term of a pattern.
Solve problems that involve recursion.
3.2.1 Write the rule of a simple function using formal algebraic notation.
3.2.2 Translate between different representations of linear expressions using symbols, tables, and written expressions.
3.2.5 Recognize and solve problems that can be modeled using a linear function in one variable.
3.2.7 Recognize and solve problems that can be modeled using a quadratic function.
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| Judith and Anne share ideas. | Alyssa Keri illustrates the recursive notation" |
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| Carolyn and Susan count disk moves for The Tower of Hanoi. | Catherine explains her recursive formula to Allison. |
