Vim has great searching capabilities, and one of most interesting is incremental search.

Using this once you enter in search mode you will see how the word matching the search criteria highlights, to enable this just enter this command while editing the document

:set incsearch

Another great search tip, is the smartcase function, which when combined with ignorecase make the searches match no matter the case, unless you put the first letter in upper case, this way you are telling vim that you want it to be case-sensitive.

To enable this options you have to enter these commands.

:set ignorecase :set smartcase

And then search as usually, as an example.

/mother

will match, Mother, MOTHER, or moTher, but:

/Mother

will match only on Mother, as you are telling here vim to act in case-sensitive way.