Fundamentalists tend to look at company profits, management direction, future plans/growth prospects, the economy as a whole and such like company and economic factors.
While those with a mathematical or scientific background might look at share price charts employing various technical analysis techniques, ratios, indicators and trends in order to identify which shares they want to look at further.
You should realise that relying wholly on one or the other is not the wisest thing to do. For example a chart that has all the indications that a share is going to be a good choice for the future is useless if the company is going to file for bankruptcy. As I mentioned earlier a blend of the two should be considered.