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A Mathemagic Centre is a place for the demonstration of intellectual, logical, aesthetic, entertainment & utility aspects school mathematics. All materials should be accessible for hands-on- demonstrations with materials, graphics & role play by students themselves.
It can be organised and maintained by school clusters. It can also be a venue for regular lecture-demonstrations for math educators & matheamticians.
1. 'Primary Curriculum'
a. Numbers
b. Understanding Zero
c. Number Properties
d. Place Value System
e. Number Operations – Addition, Subtraction, Multiplication, Division, Roots & Powers
f. Understanding & Constructing Word Problems
g. Fractions
h. Fraction operations
i. Decimals & Operations
j. Rational & Irrational Numbers
k. Integers
l. Ratio & Proportion
m. Set Theory
n. Area & perimeter
o. Basic Algebraic expressions
p. Algebraic Equations
q. Lines & Angles
r. Triangles, Circles & Polygons
s. Geometrical Constructions
2. 'Middle School Curriculum'
a. Integer Operations
b. Probability activities
i. Estimating ratio of 2 beads of 2 colours in a bottle by sampling
ii. Tossing a coin
iii. Buffon’s Needle activity to find value of Pi
c. Triangle Theorems
d. Quadrilateral theorems
e. Similarity
f. Circle Theorems
g. Extending Pythagoras theorem
h. Factorising 2nd degree algebraic expressions
i. Meaning of plane geometry
j. Geometry on a sphere
3. 'Famous numbers & equations'
a. Pi, e, Phi
b. Golden Triangle
c. Pythagoras Theorem
d. Fermat’s Theorem
e. Fibonacci Series
f. Pascal’s Triangle
g. Einstein’s Equation
h. Euler’s law for polyhedral
i. Cantor’ Infinities
4. 'Patterns (which visitors can explain & extend)'
a. With numbers
b. With symbols
c. With shapes
5. 'Math in Nature'
a. Plants - Tree branches, Leafs, Seeds, Flower patterns
b. Mountains & coast lines
c. Fish - Shells –
d. Insects - Honeycombs, Ant hills, Spider webs
e. Birds - feathers
f. Snowflakes
g. Rainbows
6. 'Logic Puzzles'
a. Matchstick puzzles
b. Chess Puzzle
c. Coin puzzles
d. Pentaminos
e. Sudoku, Kenken, LoopTheLoop, Kakuro
f. Magic Squares
g. Geometry puzzles
7. 'Logic games'
a. Nim,
b. Chess,
c. Tic-Tac-Toe,
d. Droughts
8. 'Explorations with numbers & geometry'
a. Kaprekar’s Constant
b. Collatz Conjecture
c. Describing numbers
d. 4 colour problem
9. 'Visual Proofs '
a. Number Theory
b. Geometrical proofs
10. 'Unexpected connections'
a. Logical proof for 64 + 32 + 16 + 8 + 4 + 2 + 1 through tennis match scenario
b. Triangle Numbers, diagonals of a polygon & handshake problem
11. 'Stories from History of Math (Video or animation) illustrating'
a. How place value system reached Europe
b. Why a right angle is 90degrees
c. Why the day has 24 hours
d. Zero as a place holder to Zero as a number
e. Konigsburg bridges
f. Ramanujan number
12. 'Smartboard '
a. Geogebra
b. Mathematica
13. 'Lighter side of Math'
a. Jokes
b. Poems
c. Impossible proofs
d. Riddles
14. 'Music & Math'
a. Indian Music
b. Western Music
15. Beauty & Math'
a. Symmetry
b. Tessellations
c. Curve Stitching
d. Perspective
e. Fractals
f. Beautiful Equations
16. 'Biology & Math'
a. Why a human does not normally grow beyond 7 ft
b. Why small intestine is small in diameter & long
c. How does the lung have such a large area?
d. Why skin of fruits often break while ripening?
e. Changing proportions of our body as we grow up
17. 'Math & Computers'
a. Logic gates
b. Addition Gate
18. 'Library of math books'
a. Proof by sight – A R Rao
b. Paper folding – Olsen
c. Arvind Gupta's books
d. Martin Gardener
e. P K Srinivasan
19. 'Library of Math related movies'
a. A beautiful mind – John Nash
b. Man who knew infinity – Ramanujan
c. Imitation Game – Alan Turing
d. Stand and Deliver
e. Donald in Mathmagic Land
f. N is a number – Paul Erdos
g. The Theory of Everything – Stephen Hawking
20. 'Youtube Videos related to math'
21. 'Indian Mathematicians'
a. Aryabhatta
b. Bhaskar I
c. Bhaskara II
d. Kaprekar
e. Ramanujan
f. Brahmagupta
g. Manjul Bhargava
h. Pingala
22. 'Math related museums & places'
a. Planetariums at Jaipur & Delhi
b. Earliest carving of the 0 symbol
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