For those who know there is more to existence than what can be seen the search for involvement in the supernatural is an appropriate task.
Who would not want to be closer to God, more certain of their salvation and touched by the Spirit?
In our pursuit of the supernatural it is easy to conceive the natural and supernatural as opposites. Either you experience the supernatural or the natural, but never both at the same time. The problem is that this is never the Bible's view. God so often does his divine work through natural means. You just have to look at the incarnation of Jesus to see that. The salvation of hopeless sinners was achieved through the carpenter giving up his life.
A problem with the fact that God works so often through natural means is that you can't point to something and say this is clearly a divine intervention. Yet God is at work in all the circumstances, experiences and events through which his children go.
Another issue with seeking evidence of God's activity in supernatural things, is that even if something inexplicable happens, it does not mean it comes from the hand of God. So while we may think the supernatural shows the presence of God, it may not in fact be so.
What we need to do then is to ask God for that wisdom which comes from above, for the gift of having the eyes of faith that we might see in all things, the hand of the loving Father. In our own minds, in our conversations, in our church meetings we need to help each other think God's way.
As Peter says "Though you have not seen him you love him, and though you do not see him now, you believe in him and are filled with an inexpressible and glorious joy (1 Pet 1:8).