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The reproduction in which fusion of gametes involve is called sexual reproduction.
for ex-reproduction in human beings,all animals etc.
the reproduction in which fusion of gametes do not involve is called asexual reproduction.
for ex-reproduction in amoeba,hydra etc. 
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Sexual reproduction :

Sexual reproduction is the method of reproduction fusion of male and female gametes.

The offspring thus formed is the mixture of characters of its parents.

Asexual reproduction :

Asexual reproduction is the production of offspring without fusion of gametes.

Thus offspring thus formed is identical to its parent.

Only single parent is involved.

Eg:Binary fission in Amoeba.