VES Mathematics PLCSession 19/18/12

Video

What are the implications?

Student Behaviors

Student Behaviors

The Problem

The Problem Teacher

Behaviors

Teacher Behaviors

Problem Solving

Student Behaviors

Student Behaviors

The Problem

The Problem Teacher

Behaviors

Teacher Behaviors

Problem SolvingWhat

makes a good

problem?

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.

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?

Let’s take a closer look at the

problems we pose to our students in the mathematics

classroom

Robert has two coins in his pocket that

equal 35¢. What are the coins?

Robert has two coins. Neither coin is a silver

dollar. How much money might Robert have in his pocket?

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.

Which is worth more...

1. A million nickels

OR

2. A mile high stack of nickels?

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?

CoinsStack

1-inch tallRow

1-foot long

Pennies 17¢ 16¢

Nickels 65¢ 70¢

Dimes $2.00 $1.70