Slide 1

Presented by:

ROLLY B. REYESBSED III B Math Major StudentUNIT 1 C: Discovery, Invention, and GeneralizationMath 114: Seminar on Problem Solving in Mathematics

1

DISCOVERY

A discovery is recognizing something that already exists for the first time, that nobody has found before.

e.g. how Christopher Columbus discovered the Americas.

Other examples of discovery are:

1. Fibonacci Sequence in Nature

1. Pi in Nature

3. There are no negative square roots.

4. Various relationships between numbers.

INVENTION

An invention is creating something totally new with ones own ideas and development.

Creating all the material into something with the concepts of+andis what invention is all about.

e.g. how Thomas Edison invented the light bulb.

All mathematical concepts, equations, and formulas are invented.

By grasping and implementing these concepts, anyone could give life to a new invention.

GENERALIZATION

Reaching a general conclusions

e.g. All triangles have three angles.

Making something more widespread or common, or to use repeated reasoning.

e.g. All numbers except 0 raised to 0 is equal to 1. (6462372348436+9/9+8*2+2%+786234674327674316278674687392949+654278437823697435734538657433498493854374359339267436593874353489983293898376537653875349385934593593859359393459678947953992592898989)= 1

Think about this:Differentiate discovery and invention.How is generalization related to discovery and invention?

Discovery and InventionIf theres a number of trees on the forest but no ones there to count them, does that number exist?