Apparently many things!
http://www.answers.com/theism
http://www.answers.com/modern
http://www.answers.com/modern%20theism
http://www.google.com/search?q=%22modern+theism%22&rls=com.microsoft:en-us:IE-SearchBox&ie=UTF-8&oe=UTF-8&sourceid=ie7&rlz=1I7GGIE_en
what is modern theism?
3 answers
http://en.wikipedia.org/wiki/Charles_Hartshorne
Particular issues in modern theology deal with evolution (creation), women's rights, marriage/divorce, family issues, etc. THe old theology relied on religious dogma, the modern theology trys to relate God in our lives in a modern setting. Then, as Writeacher says, that leads to many things.