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Math Learning
through Games
Lee M. Kaltman, MS Ed.
Cornell University
March 11th, 2017
A little about me
• Father of two young learners
• B.S. Finance, Babson College
• M.S. Childhood Ed, SUNY Cortland
• Thirteen years as math educator
• Serial entrepreneur
• Founder Ithacatoys
Beginning
Local manufacture:
The great thing about this product is its big, durable,
natural, and fun. Toddlers can build with it and also
touch dimple holes and match like kind sides as they
acquire number sense and as they get older they can
master game theory by becoming an expert domino
player. *made in USA with real wood
How many different ways can you
create the value 25?
A young creative explains BLOX.
https://vimeo.com/207866305
What is a BLOX?
*dictionary.com defines BLOX as a visual language.
Visual languages have been
around for centuries
We made a physical BLOX.
What properties does a physical BLOX have?
How would you define each unit?
A BLOX is a rectangular
prism with square bases
and bevelled edges.
What visual languages can you draw / inscribe on a BLOX?
ColorBLOX
simple but complex visual images
• Mix and match colors and shapes
• Create patterns and designs
• Work together and have fun
• Return BLOX to the box
ColorBLOX problem:
Conditions:
• Each BLOX has either a triangle / triangle, half circle /
half circle or a half circle / triangle on one of its bases.
• Each shape will be filled with a primary color.
(Magenta, Yellow, Red)
• One of every design per BLOX for a whole set ie no
BLOX is the same.
How many distinctly
different BLOX would
be in a complete set?
Solution
ITHACATOYS
COLORBLOX
Multi-player
Enjoyed by young and old folks.
It can be played with 2-4 players.
First of all COLORBLOX are
put face down. Each player chooses same number of BLOX
which they hide. Then the first player places a COLORBLOX
down and the others follow in turn making the pattern. If a
player doesn’t have a match, they pass and the game continues
until someone has no COLORBLOX left. That player is
declared the first winner and the other players may continue
trying to complete the pattern until all COLORBLOX are used
up.
Sometimes in this game, there is no winner, but valuable lessons
can be learned nonetheless. Various strategies are implemented
in order to block plays. Creative and higher level thinking skills
come in to play here.
**Activities available to allow students to master multi-
disciplinary common core standards for all elementary gradesWith the set of 12 there are no
“like colors” on a BLOX, (i.e. blue
shape / blue shape). Most times
a player or player (s) can create a
looping pattern in the set of 12.
Is there a looping pattern for the
complete set (21)? Why or why
not?
If there were two sets of complete
sets (21) together, would there be
a looping pattern?
How could we figure this out?
Question for COLORBLOX (21 Set)
How many different ways can you make the area of 12?
Is making a rectangle the only way to do it?
PuzzleBLOX
• Putting BLOX together
can create visual
languages
• This activity is a hands
on lesson to learn area
while integrating art
How is area used to create an art
image which can make a puzzle?
•Choose an area of 12 units (at a minimum a dimension
needs to be 2 units). Why did you choose that area?
•Cut out area
•Flip over paper and draw an image to fit inside area (only
use one color and you must erase all marks as best as
you can)
•Sign the image
PuzzleBLOX
The process of manufacturing the product.
What dimensions would you make your box to hold your 12
PuzzleBLOX? Why did you choose that configuration?
Explain how you came up with that.
*This is a hands on lesson for Volume
*BLOX measurements are 3.5 inches x 3.5 inches x 3/4 inch
How do you assemble a box?
*The net gives a hands on lesson for surface area
Any questions, please
contact me at lee@school.me.
Also visit ithacatoys.com

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Cornell l talk 03.11.17

  • 1. Math Learning through Games Lee M. Kaltman, MS Ed. Cornell University March 11th, 2017
  • 2. A little about me • Father of two young learners • B.S. Finance, Babson College • M.S. Childhood Ed, SUNY Cortland • Thirteen years as math educator • Serial entrepreneur • Founder Ithacatoys
  • 3. Beginning Local manufacture: The great thing about this product is its big, durable, natural, and fun. Toddlers can build with it and also touch dimple holes and match like kind sides as they acquire number sense and as they get older they can master game theory by becoming an expert domino player. *made in USA with real wood
  • 4. How many different ways can you create the value 25?
  • 5. A young creative explains BLOX. https://vimeo.com/207866305
  • 6. What is a BLOX? *dictionary.com defines BLOX as a visual language.
  • 7. Visual languages have been around for centuries
  • 8. We made a physical BLOX. What properties does a physical BLOX have? How would you define each unit?
  • 9. A BLOX is a rectangular prism with square bases and bevelled edges.
  • 10. What visual languages can you draw / inscribe on a BLOX?
  • 11. ColorBLOX simple but complex visual images • Mix and match colors and shapes • Create patterns and designs • Work together and have fun • Return BLOX to the box
  • 12. ColorBLOX problem: Conditions: • Each BLOX has either a triangle / triangle, half circle / half circle or a half circle / triangle on one of its bases. • Each shape will be filled with a primary color. (Magenta, Yellow, Red) • One of every design per BLOX for a whole set ie no BLOX is the same. How many distinctly different BLOX would be in a complete set?
  • 14. COLORBLOX Multi-player Enjoyed by young and old folks. It can be played with 2-4 players. First of all COLORBLOX are put face down. Each player chooses same number of BLOX which they hide. Then the first player places a COLORBLOX down and the others follow in turn making the pattern. If a player doesn’t have a match, they pass and the game continues until someone has no COLORBLOX left. That player is declared the first winner and the other players may continue trying to complete the pattern until all COLORBLOX are used up. Sometimes in this game, there is no winner, but valuable lessons can be learned nonetheless. Various strategies are implemented in order to block plays. Creative and higher level thinking skills come in to play here. **Activities available to allow students to master multi- disciplinary common core standards for all elementary gradesWith the set of 12 there are no “like colors” on a BLOX, (i.e. blue shape / blue shape). Most times a player or player (s) can create a looping pattern in the set of 12.
  • 15. Is there a looping pattern for the complete set (21)? Why or why not? If there were two sets of complete sets (21) together, would there be a looping pattern? How could we figure this out? Question for COLORBLOX (21 Set)
  • 16. How many different ways can you make the area of 12? Is making a rectangle the only way to do it?
  • 17. PuzzleBLOX • Putting BLOX together can create visual languages • This activity is a hands on lesson to learn area while integrating art How is area used to create an art image which can make a puzzle? •Choose an area of 12 units (at a minimum a dimension needs to be 2 units). Why did you choose that area? •Cut out area •Flip over paper and draw an image to fit inside area (only use one color and you must erase all marks as best as you can) •Sign the image
  • 18. PuzzleBLOX The process of manufacturing the product.
  • 19. What dimensions would you make your box to hold your 12 PuzzleBLOX? Why did you choose that configuration? Explain how you came up with that. *This is a hands on lesson for Volume *BLOX measurements are 3.5 inches x 3.5 inches x 3/4 inch
  • 20. How do you assemble a box? *The net gives a hands on lesson for surface area
  • 21. Any questions, please contact me at lee@school.me. Also visit ithacatoys.com