I cant gurantee this is the best approach.

Add this.scroll.scrollTo({ x: calculatedStartPositionOfTheScreen}) to your button Press handler https://facebook.github.io/react-native/docs/scrollview#scrollto

e.g


    ...
    
         { this.scroll.scrollTo({ x: 0 }) }} />
    
    
         { this.scroll.scrollTo({ x: screenWidth }) }} />
    
    
         { this.scroll.scrollTo({ x: screenWidth * 2 }) }} />
    
    ...
     this.scroll = node}
    >
    ...