Mathematical Entertainments: A Collection of Illuminating Puzzles ...
How to invent mathematical puzzles
description
Transcript of How to invent mathematical puzzles
Scott KimNueva SchoolMarch 11, 2011
INVENTING
MATHEMATICALPUZZLES
Puzzles
Solving
Inventing
Demo
Demo
Why?
Why?What’s missing from math education?
Language Reading Writing
What’s missing from math education?
Language Reading Writing
What’s missing from math education?
CREATIVE
Language Reading Writing
Problem solving
Math
What’s missing from math education?
Language Reading Writing
Problem solving
Math
What’s missing from math education?
?
Language Reading Writing
Problem solving
Problem posing
Math
What’s missing from math education?
Problem posing
Language Reading Writing
Problem solving
Problem posing
Math
What’s missing from math education?
Problem posing
PUZZLES
How?
INVENTINGMATHEMATICAL
PUZZLESis a great way to explore the
CREATIVE SIDE OF
MATHEMATICS
How?
Sudoku
Sudoku
Sudoku
1. Fill in the blanks
1. Fill in the blanks
• One solution• Many solutions• No solutions
2. Add a theme
Put inside a larger story
2. Add a theme
Change appearance
2. Add a theme
Add extra meaning
3. Easy to Hard
3. Easy to Hard
3. Easy to Hard
Levels = secret of videogamesRequires testing
Putting it all together
Putting it all together
mathfair.com
Putting it all together
Kids present puzzles they made
Putting it all together
With added themes and levels of difficulty
4. Change the rules
4. Change the rules
Change the size
4. Change the rules
Change the region shapes
4. Change the rules
Change the goal
Conclusions
How to invent mathematical puzzles
1. Fill in the blanks2. Add a theme3. Easy to hard4. Change the rules
MathematicsArtCOMMUNICATION
INVENTINGMATHEMATICALPUZZLE
Sis a great way to explore
the
CREATIVE SIDE OF
MATHEMATICS
INVENTINGMATHEMATICALPUZZLE
Sis a great way to explore
the
CREATIVE SIDE OF
MATHEMATICS
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