The document discusses several mathematical games and puzzles including the Tower of Hanoi, Tangram, Rubik's Cube, and Sudoku. It provides the objectives and rules of each game as well as their psychological applications. The Tower of Hanoi involves moving disks between rods under rules of only moving one disk at a time and not placing a disk on top of a smaller one. Tangram uses seven flat shapes to form different shapes without overlapping. Rubik's Cube and Sudoku involve manipulating pieces to solve combinations puzzles. These games and puzzles are used in psychological research and testing to evaluate problem solving skills and brain function.
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This is an abbreviated version of the presentation "Math is Storytelling: Bringing Play and a Sense of Narrative to Problem Solving" from the 2011 NAEYC annual conference in Orlando, FL. For more information, please see www.mathexchanges.wordpress.com
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2. TOWER OF HANOI
The Tower of Hanoi (also called the Tower of
Brahma or Lucas' Tower) is a mathematical
game or puzzle. It consists of three rods and a
number of disks of different sizes, which can slide
onto any rod. The puzzle starts with the disks in a
neat stack in ascending order of size on one rod,
the smallest at the top, thus making
a conical shape.
The objective of the puzzle is to move the entire
stack to another rod, obeying the simple rules
4. RULES
Only one disk can be moved at a
time.
Each move consists of taking the
upper disk from one of the stacks and
placing it on top of another stack.
No disk may be placed on top of a
smaller disk.
5. PSYCHOLOGICAL APPLICATION
OF TOWER OF HANOI
The Tower of Hanoi is frequently
used in psychological research
on problem solving.
The Tower of Hanoi is also used
as a test by neuropsychologists
trying to evaluate frontal
lobe deficits.
6. TANGRAM
The tangram ( "seven boards of skill") is a dissection
puzzle consisting of seven flat shapes, called tans, which are
put together to form shapes.
It is reputed to have been invented in China during the Song
Dynasty,and then carried over to Europe by trading ships in
the early 19th century.
It became very popular in Europe for a time then, and then
again during World War I.
It is one of the most popular dissection puzzles in the world.
9. RULE
This puzzle is to form a specific
shape using all seven pieces,
which may not overlap.
10. PSYCHOLOGICAL APPLICATION
OF TANGRAM
Chinese psychologist has termed
the tangram “ the earliest
psychological test in the word”
Tangram can be used to develop
problem-solving and logical
thinking skills, visual-spatial
awareness, creativity etc.
11. RUBIK'S CUBE
Rubik's cube is a 3-D combination
puzzle invented in 1974 by Hungarian
sculptor and professor of architecture
Erno Rubik.
Originally called magic cube.
It is the world top-selling puzzle game.
The world record time is 4.59
seconds.
12.
13. PSYCHOLOGICAL APPLICATION
OF RUBIK’S CUBE
Solving Rubik's cube help your
brain become sharper.
It betters eye-hand coordination.
It improves concentration in
general and ensures that you are
able to process your thoughts
faster.
14. SUDOKU
Sudoku ,originally called number
place ,is a logic based,
combinatorial number-placement
puzzle.
It first appeared in a US
newspaper and The
Times(London) in 2004
15.
16. RULES
Each of nine blocks has to
contain all the number 1-9
within its squares.
Each number can only appear
once in a row, column or box.
17. PSYCHOLOGICAL APPLICATION
OF SUDOKU
Can help to delay dementia and
Alzheimer's disease, and protect brain
from decline.
It offers good exercise and stimulation
for the brain.
Develops some logical thinking and
patterns.
Helps in improving your patience and
concentration.