There are several reasons why leaves turn brown. The most common in potted plants involves soil moisture, either too much or too little. You need to test the soil between waterings; here is a video that might help you understand watering. http://www.youtube.com/watch?v=Tf-8InSamYQ
Another cause could be fungal disease, which is often associated with over-wet soil. Salt buildup in the soil could be at fault - has the plant been fertilized frequently? Unused fertilizer remains in the soil as salt. Then again, browning leaves could be caused by an insect attack - check the stems, leaf axils (where leaf stems join main stems) and undersides of leaves for whitestuff, webbing, or bumpy things. Look into all of these things, then if you need more help, let us know.
Hopefully, this article will help: https://www.gardeningknowhow.com/ornamental/shrubs/shrimp-plant/growing-shrimp-plants.htm