ves mathematics plc session 1 9/18/12. video what are the implications?
TRANSCRIPT
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VES Mathematics PLCSession 19/18/12
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Video
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What are the implications?
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Student Behaviors
Student Behaviors
The Problem
The Problem Teacher
Behaviors
Teacher Behaviors
Problem Solving
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Student Behaviors
Student Behaviors
The Problem
The Problem Teacher
Behaviors
Teacher Behaviors
Problem SolvingWhat
makes a good
problem?
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A “Fermi Question” is a question in physics or mathematics which seeks a fast rough estimate of
quantity, which is either difficult or impossible to measure directly.
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Student Behaviors
Student Behaviors
The Problem
The Problem Teacher
Behaviors
Teacher Behaviors
Problem SolvingHow did the
problem encourage or elicit these behaviors?
What behaviors did you exhibit that helped to
support problem solving?
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Let’s take a closer look at the
problems we pose to our students in the mathematics
classroom
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Robert has two coins in his pocket that
equal 35¢. What are the coins?
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Robert has two coins. Neither coin is a silver
dollar. How much money might Robert have in his pocket?
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If you spend $1.85 and pay with a $10.00 bill, you get $8.15 in
change. Notice that the digits in the change are the same as the
digits in what you spent. There are four other amounts you could
spend so that the change has the same digits. Find them.
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Which is worth more...
1. A million nickels
OR
2. A mile high stack of nickels?
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Money, Money, Show Me the Money
Andy has a stack of pennies that is 1-inch tall. Alisha has a row of pennies that is 1-foot long. Who has more pennies-Andy or Alisha?
Predict who you think has more money. How can you represent your solution?
Explain your reasoning.
What about nickels? Dimes? Quarters?
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CoinsStack
1-inch tallRow
1-foot long
Pennies 17¢ 16¢
Nickels 65¢ 70¢
Dimes $2.00 $1.70