How do I keep heavy rain from draining into my house?
I had a similar problem and added a length of corrugated tubing to my existing downspouts. 

What was happening is that the water came down the downspouts too close to the house. It did not have time to soak into the ground and pooled around the foundation. So using some black corrugated pipe and the right adapters got that water 5-10 feet from the house. 

It is very low cost, just get some of the black pipe, the right adapters to attach to your downspouts, and sheet metal screws.