Make Math Moments Academy › Forums › Full Workshop Reflections › Module 4: Teaching Through Problem Solving to Build Understanding › Lesson 4-1: The Stage of Mastery › Lesson 4-1: The Stages of Mastery Action › Reply To: Lesson 4-1: The Stages of Mastery Action
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Counting the Value of Coins
Unconsciously Incompetent: Students know that coins have value but they only count the number of coins.
Example: 8 coins: 1 quarter, 3 dimes, 2 nickels, and 2 pennies = 8 centsConsciously Incompetent: Students know the value of coins and can add values as long as the total value remains less than $1.00
Example: 8 coins: 1 quarter, 3 dimes, 2 nickels, and 2 pennies
25, 35, 45, 55, 60, 65, 66, 67 centsConsciously Competent: Students know how to count coin values with totals less than $1.00. They can rearrange the coins to add them in different ways.
Example: 8 coins: 1 quarter, 2 dimes, 3 nickels, 2 pennies
25, 35, 45, 50, 55, 60, 61, 62 25, 30, 40, 50, 55, 60, 61, 62
10, 20, 25, 50, 55, 60, 61, 62Unconsciously Competent: Students know how to count coin values with totals less than $1.00 but they don’t know what to do when the value is ore than $1.00
Consciously Masterful: Students realize that going over $1.00 is the same as going over 100 and can continue to count the value of coins just as they did when the value was less than $1.00
Example: 9 coins: 3 quarters, 3 dimes, 2 nickels, 1 penny
25, 50, 75, 85, 95, $1.05, $1.10, $1.15, $1.16