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Using Mathematical Puzzles and Games to Teach Problem Solvin

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Mackenzie Douthit

on 22 November 2016

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Transcript of Using Mathematical Puzzles and Games to Teach Problem Solvin

Using Mathematical Puzzles and Games to Teach Problem Solving Skills
Two Cups
You have a soda fountain but only two unmarked containers, one holds 11 ounces and the other holds 5 ounces, that can be filled or emptied or poured back and forth as needed. Explain fully how you can get
exactly
2 ounces of soda in one of the containers. Estimation is not allowed - e.g. you cannot say “fill one container ⅓ of the way”. Explain your strategy clearly.
Two Cups
You have a soda fountain but only two unmarked containers, one holds 10 ounces and the other holds 6 ounces, that can be filled or emptied or poured back and forth as needed. Explain fully how you can get
exactly
8 ounces of soda in one of the containers. Estimation is not allowed - e.g. you cannot say “fill one container ⅓ of the way”. Explain your strategy clearly.
Problem Solving
Counterfeit Coins
Building Blocks
About how many blocks could you fit in this room?
Some Sums
Add up the numbers 1-100
Problem Solving Strategy
Understand the problem
Describe in your own words
Identify what you know and what you need to solve
Take time to think through problem
Create a visual
Guesstimate
Create a Table
Use manipulative
Work Backwards
Look for patterns
Create a list
Try thinking about the problem in a new way

Card Games
How many cards would you need to randomly draw to be guaranteed to draw a heart?
How many cards would you need to randomly draw to be guaranteed to draw a 7?


Suppose you have 9 identical looking gold coins. Unfortunately one of them is counterfeit and weighs more than the other 8 coins. Using a balance scale and not holding to chance (that is, not getting lucky the first time), what is the fewest number of weighings until you can determine the counterfeit coin? What is the strategy?
Use strategies that have worked in the past to solve similar problems.
Problem Solving Tool:
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